Properties

Label 300.2.n.a.131.11
Level $300$
Weight $2$
Character 300.131
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [300,2,Mod(11,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), 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: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 131.11
Character \(\chi\) \(=\) 300.131
Dual form 300.2.n.a.71.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.15384 - 0.817712i) q^{2} +(1.49131 - 0.880902i) q^{3} +(0.662694 + 1.88702i) q^{4} +(2.23369 + 0.103117i) q^{5} +(-2.44106 - 0.203044i) q^{6} +3.19985i q^{7} +(0.778395 - 2.71921i) q^{8} +(1.44802 - 2.62740i) q^{9} +O(q^{10})\) \(q+(-1.15384 - 0.817712i) q^{2} +(1.49131 - 0.880902i) q^{3} +(0.662694 + 1.88702i) q^{4} +(2.23369 + 0.103117i) q^{5} +(-2.44106 - 0.203044i) q^{6} +3.19985i q^{7} +(0.778395 - 2.71921i) q^{8} +(1.44802 - 2.62740i) q^{9} +(-2.49300 - 1.94550i) q^{10} +(1.39100 + 4.28104i) q^{11} +(2.65056 + 2.23036i) q^{12} +(-0.224488 + 0.690904i) q^{13} +(2.61655 - 3.69211i) q^{14} +(3.42196 - 1.81388i) q^{15} +(-3.12167 + 2.50103i) q^{16} +(0.0729746 - 0.100441i) q^{17} +(-3.81924 + 1.84753i) q^{18} +(-3.06942 + 4.22470i) q^{19} +(1.28567 + 4.28335i) q^{20} +(2.81875 + 4.77197i) q^{21} +(1.89567 - 6.07707i) q^{22} +(-2.70974 - 8.33972i) q^{23} +(-1.23453 - 4.74088i) q^{24} +(4.97873 + 0.460663i) q^{25} +(0.823984 - 0.613626i) q^{26} +(-0.155027 - 5.19384i) q^{27} +(-6.03817 + 2.12052i) q^{28} +(-4.44953 - 6.12425i) q^{29} +(-5.43163 - 0.705252i) q^{30} +(-0.154824 + 0.213097i) q^{31} +(5.64704 - 0.333158i) q^{32} +(5.84559 + 5.15904i) q^{33} +(-0.166333 + 0.0562205i) q^{34} +(-0.329959 + 7.14746i) q^{35} +(5.91755 + 0.991284i) q^{36} +(2.93242 - 9.02505i) q^{37} +(6.99621 - 2.36472i) q^{38} +(0.273836 + 1.22811i) q^{39} +(2.01909 - 5.99360i) q^{40} +(-2.55180 - 0.829129i) q^{41} +(0.649709 - 7.81102i) q^{42} -6.07918i q^{43} +(-7.15660 + 5.46185i) q^{44} +(3.50536 - 5.71948i) q^{45} +(-3.69288 + 11.8385i) q^{46} +(-1.43095 + 1.03965i) q^{47} +(-2.45223 + 6.47971i) q^{48} -3.23901 q^{49} +(-5.36797 - 4.60270i) q^{50} +(0.0203493 - 0.214072i) q^{51} +(-1.45251 + 0.0342442i) q^{52} +(-3.63159 - 4.99846i) q^{53} +(-4.06819 + 6.11963i) q^{54} +(2.66560 + 9.70595i) q^{55} +(8.70105 + 2.49074i) q^{56} +(-0.855922 + 9.00420i) q^{57} +(0.126170 + 10.7048i) q^{58} +(0.148882 - 0.458211i) q^{59} +(5.69054 + 5.25526i) q^{60} +(1.16101 + 3.57322i) q^{61} +(0.352895 - 0.119279i) q^{62} +(8.40727 + 4.63345i) q^{63} +(-6.78820 - 4.23324i) q^{64} +(-0.572681 + 1.52012i) q^{65} +(-2.52626 - 10.7327i) q^{66} +(-2.89530 + 3.98504i) q^{67} +(0.237893 + 0.0711428i) q^{68} +(-11.3875 - 10.0501i) q^{69} +(6.22528 - 7.97722i) q^{70} +(-7.54150 + 5.47922i) q^{71} +(-6.01732 - 5.98263i) q^{72} +(3.40623 + 10.4833i) q^{73} +(-10.7634 + 8.01559i) q^{74} +(7.83064 - 3.69879i) q^{75} +(-10.0062 - 2.99237i) q^{76} +(-13.6987 + 4.45097i) q^{77} +(0.688273 - 1.64096i) q^{78} +(-3.77224 - 5.19204i) q^{79} +(-7.23075 + 5.26463i) q^{80} +(-4.80646 - 7.60907i) q^{81} +(2.26638 + 3.04332i) q^{82} +(4.31493 + 3.13498i) q^{83} +(-7.13682 + 8.48139i) q^{84} +(0.173360 - 0.216829i) q^{85} +(-4.97102 + 7.01440i) q^{86} +(-12.0305 - 5.21357i) q^{87} +(12.7238 - 0.450065i) q^{88} +(9.37595 - 3.04643i) q^{89} +(-8.72151 + 3.73299i) q^{90} +(-2.21079 - 0.718328i) q^{91} +(13.9415 - 10.6400i) q^{92} +(-0.0431734 + 0.454180i) q^{93} +(2.50123 - 0.0294801i) q^{94} +(-7.29177 + 9.12015i) q^{95} +(8.12801 - 5.47133i) q^{96} +(-4.65810 + 3.38431i) q^{97} +(3.73730 + 2.64858i) q^{98} +(13.2622 + 2.54435i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.15384 0.817712i −0.815888 0.578210i
\(3\) 1.49131 0.880902i 0.861009 0.508589i
\(4\) 0.662694 + 1.88702i 0.331347 + 0.943509i
\(5\) 2.23369 + 0.103117i 0.998936 + 0.0461153i
\(6\) −2.44106 0.203044i −0.996559 0.0828923i
\(7\) 3.19985i 1.20943i 0.796443 + 0.604714i \(0.206713\pi\)
−0.796443 + 0.604714i \(0.793287\pi\)
\(8\) 0.778395 2.71921i 0.275204 0.961386i
\(9\) 1.44802 2.62740i 0.482674 0.875800i
\(10\) −2.49300 1.94550i −0.788356 0.615220i
\(11\) 1.39100 + 4.28104i 0.419401 + 1.29078i 0.908255 + 0.418417i \(0.137415\pi\)
−0.488854 + 0.872366i \(0.662585\pi\)
\(12\) 2.65056 + 2.23036i 0.765151 + 0.643851i
\(13\) −0.224488 + 0.690904i −0.0622618 + 0.191622i −0.977349 0.211634i \(-0.932122\pi\)
0.915087 + 0.403256i \(0.132122\pi\)
\(14\) 2.61655 3.69211i 0.699303 0.986758i
\(15\) 3.42196 1.81388i 0.883547 0.468342i
\(16\) −3.12167 + 2.50103i −0.780418 + 0.625258i
\(17\) 0.0729746 0.100441i 0.0176989 0.0243605i −0.800076 0.599899i \(-0.795207\pi\)
0.817775 + 0.575538i \(0.195207\pi\)
\(18\) −3.81924 + 1.84753i −0.900204 + 0.435468i
\(19\) −3.06942 + 4.22470i −0.704174 + 0.969212i 0.295729 + 0.955272i \(0.404437\pi\)
−0.999903 + 0.0139400i \(0.995563\pi\)
\(20\) 1.28567 + 4.28335i 0.287484 + 0.957785i
\(21\) 2.81875 + 4.77197i 0.615102 + 1.04133i
\(22\) 1.89567 6.07707i 0.404159 1.29564i
\(23\) −2.70974 8.33972i −0.565020 1.73895i −0.667893 0.744257i \(-0.732804\pi\)
0.102873 0.994694i \(-0.467196\pi\)
\(24\) −1.23453 4.74088i −0.251997 0.967728i
\(25\) 4.97873 + 0.460663i 0.995747 + 0.0921325i
\(26\) 0.823984 0.613626i 0.161597 0.120342i
\(27\) −0.155027 5.19384i −0.0298350 0.999555i
\(28\) −6.03817 + 2.12052i −1.14111 + 0.400740i
\(29\) −4.44953 6.12425i −0.826257 1.13725i −0.988608 0.150512i \(-0.951908\pi\)
0.162351 0.986733i \(-0.448092\pi\)
\(30\) −5.43163 0.705252i −0.991676 0.128761i
\(31\) −0.154824 + 0.213097i −0.0278073 + 0.0382734i −0.822694 0.568484i \(-0.807530\pi\)
0.794887 + 0.606757i \(0.207530\pi\)
\(32\) 5.64704 0.333158i 0.998264 0.0588946i
\(33\) 5.84559 + 5.15904i 1.01759 + 0.898074i
\(34\) −0.166333 + 0.0562205i −0.0285258 + 0.00964174i
\(35\) −0.329959 + 7.14746i −0.0557732 + 1.20814i
\(36\) 5.91755 + 0.991284i 0.986258 + 0.165214i
\(37\) 2.93242 9.02505i 0.482086 1.48371i −0.354071 0.935219i \(-0.615203\pi\)
0.836157 0.548490i \(-0.184797\pi\)
\(38\) 6.99621 2.36472i 1.13493 0.383608i
\(39\) 0.273836 + 1.22811i 0.0438489 + 0.196654i
\(40\) 2.01909 5.99360i 0.319246 0.947672i
\(41\) −2.55180 0.829129i −0.398524 0.129488i 0.102897 0.994692i \(-0.467189\pi\)
−0.501420 + 0.865204i \(0.667189\pi\)
\(42\) 0.649709 7.81102i 0.100252 1.20527i
\(43\) 6.07918i 0.927066i −0.886080 0.463533i \(-0.846582\pi\)
0.886080 0.463533i \(-0.153418\pi\)
\(44\) −7.15660 + 5.46185i −1.07890 + 0.823405i
\(45\) 3.50536 5.71948i 0.522549 0.852609i
\(46\) −3.69288 + 11.8385i −0.544486 + 1.74549i
\(47\) −1.43095 + 1.03965i −0.208726 + 0.151648i −0.687237 0.726433i \(-0.741177\pi\)
0.478511 + 0.878082i \(0.341177\pi\)
\(48\) −2.45223 + 6.47971i −0.353949 + 0.935265i
\(49\) −3.23901 −0.462716
\(50\) −5.36797 4.60270i −0.759146 0.650920i
\(51\) 0.0203493 0.214072i 0.00284947 0.0299761i
\(52\) −1.45251 + 0.0342442i −0.201428 + 0.00474882i
\(53\) −3.63159 4.99846i −0.498837 0.686591i 0.483150 0.875538i \(-0.339493\pi\)
−0.981987 + 0.188947i \(0.939493\pi\)
\(54\) −4.06819 + 6.11963i −0.553610 + 0.832776i
\(55\) 2.66560 + 9.70595i 0.359430 + 1.30875i
\(56\) 8.70105 + 2.49074i 1.16273 + 0.332840i
\(57\) −0.855922 + 9.00420i −0.113370 + 1.19264i
\(58\) 0.126170 + 10.7048i 0.0165670 + 1.40561i
\(59\) 0.148882 0.458211i 0.0193828 0.0596540i −0.940897 0.338692i \(-0.890016\pi\)
0.960280 + 0.279038i \(0.0900155\pi\)
\(60\) 5.69054 + 5.25526i 0.734646 + 0.678451i
\(61\) 1.16101 + 3.57322i 0.148652 + 0.457504i 0.997463 0.0711932i \(-0.0226807\pi\)
−0.848810 + 0.528697i \(0.822681\pi\)
\(62\) 0.352895 0.119279i 0.0448177 0.0151484i
\(63\) 8.40727 + 4.63345i 1.05922 + 0.583760i
\(64\) −6.78820 4.23324i −0.848525 0.529155i
\(65\) −0.572681 + 1.52012i −0.0710323 + 0.188547i
\(66\) −2.52626 10.7327i −0.310961 1.32111i
\(67\) −2.89530 + 3.98504i −0.353718 + 0.486851i −0.948385 0.317121i \(-0.897284\pi\)
0.594667 + 0.803972i \(0.297284\pi\)
\(68\) 0.237893 + 0.0711428i 0.0288488 + 0.00862733i
\(69\) −11.3875 10.0501i −1.37090 1.20989i
\(70\) 6.22528 7.97722i 0.744064 0.953460i
\(71\) −7.54150 + 5.47922i −0.895011 + 0.650264i −0.937180 0.348847i \(-0.886573\pi\)
0.0421685 + 0.999111i \(0.486573\pi\)
\(72\) −6.01732 5.98263i −0.709148 0.705060i
\(73\) 3.40623 + 10.4833i 0.398669 + 1.22698i 0.926067 + 0.377358i \(0.123167\pi\)
−0.527399 + 0.849618i \(0.676833\pi\)
\(74\) −10.7634 + 8.01559i −1.25122 + 0.931794i
\(75\) 7.83064 3.69879i 0.904205 0.427099i
\(76\) −10.0062 2.99237i −1.14779 0.343249i
\(77\) −13.6987 + 4.45097i −1.56111 + 0.507235i
\(78\) 0.688273 1.64096i 0.0779316 0.185802i
\(79\) −3.77224 5.19204i −0.424410 0.584150i 0.542249 0.840218i \(-0.317573\pi\)
−0.966659 + 0.256068i \(0.917573\pi\)
\(80\) −7.23075 + 5.26463i −0.808422 + 0.588603i
\(81\) −4.80646 7.60907i −0.534051 0.845452i
\(82\) 2.26638 + 3.04332i 0.250279 + 0.336078i
\(83\) 4.31493 + 3.13498i 0.473625 + 0.344108i 0.798852 0.601527i \(-0.205441\pi\)
−0.325228 + 0.945636i \(0.605441\pi\)
\(84\) −7.13682 + 8.48139i −0.778691 + 0.925395i
\(85\) 0.173360 0.216829i 0.0188035 0.0235184i
\(86\) −4.97102 + 7.01440i −0.536039 + 0.756382i
\(87\) −12.0305 5.21357i −1.28981 0.558954i
\(88\) 12.7238 0.450065i 1.35636 0.0479771i
\(89\) 9.37595 3.04643i 0.993849 0.322921i 0.233444 0.972370i \(-0.425000\pi\)
0.760405 + 0.649449i \(0.225000\pi\)
\(90\) −8.72151 + 3.73299i −0.919328 + 0.393491i
\(91\) −2.21079 0.718328i −0.231753 0.0753012i
\(92\) 13.9415 10.6400i 1.45350 1.10930i
\(93\) −0.0431734 + 0.454180i −0.00447687 + 0.0470962i
\(94\) 2.50123 0.0294801i 0.257982 0.00304064i
\(95\) −7.29177 + 9.12015i −0.748120 + 0.935707i
\(96\) 8.12801 5.47133i 0.829562 0.558415i
\(97\) −4.65810 + 3.38431i −0.472958 + 0.343624i −0.798593 0.601871i \(-0.794422\pi\)
0.325635 + 0.945496i \(0.394422\pi\)
\(98\) 3.73730 + 2.64858i 0.377525 + 0.267547i
\(99\) 13.2622 + 2.54435i 1.33290 + 0.255717i
\(100\) 2.43010 + 9.70024i 0.243010 + 0.970024i
\(101\) 16.7129i 1.66300i 0.555526 + 0.831499i \(0.312517\pi\)
−0.555526 + 0.831499i \(0.687483\pi\)
\(102\) −0.198529 + 0.230365i −0.0196573 + 0.0228095i
\(103\) −0.504140 0.693889i −0.0496744 0.0683709i 0.783457 0.621446i \(-0.213454\pi\)
−0.833132 + 0.553075i \(0.813454\pi\)
\(104\) 1.70397 + 1.14823i 0.167088 + 0.112593i
\(105\) 5.80414 + 10.9498i 0.566426 + 1.06859i
\(106\) 0.102977 + 8.73702i 0.0100020 + 0.848614i
\(107\) 6.29340 0.608406 0.304203 0.952607i \(-0.401610\pi\)
0.304203 + 0.952607i \(0.401610\pi\)
\(108\) 9.69813 3.73446i 0.933203 0.359349i
\(109\) −0.822746 + 2.53215i −0.0788048 + 0.242536i −0.982696 0.185226i \(-0.940698\pi\)
0.903891 + 0.427763i \(0.140698\pi\)
\(110\) 4.86100 13.3788i 0.463478 1.27562i
\(111\) −3.57704 16.0423i −0.339517 1.52267i
\(112\) −8.00291 9.98888i −0.756204 0.943860i
\(113\) −14.1393 4.59414i −1.33011 0.432180i −0.444157 0.895949i \(-0.646497\pi\)
−0.885956 + 0.463769i \(0.846497\pi\)
\(114\) 8.35044 9.68951i 0.782090 0.907506i
\(115\) −5.19275 18.9078i −0.484226 1.76316i
\(116\) 8.60790 12.4548i 0.799223 1.15640i
\(117\) 1.49022 + 1.59026i 0.137771 + 0.147020i
\(118\) −0.546470 + 0.406960i −0.0503067 + 0.0374637i
\(119\) 0.321395 + 0.233507i 0.0294623 + 0.0214056i
\(120\) −2.26869 10.7170i −0.207102 0.978319i
\(121\) −7.49327 + 5.44418i −0.681206 + 0.494925i
\(122\) 1.58225 5.07230i 0.143250 0.459224i
\(123\) −4.53591 + 1.01139i −0.408989 + 0.0911942i
\(124\) −0.504719 0.150938i −0.0453251 0.0135546i
\(125\) 11.0734 + 1.54237i 0.990439 + 0.137954i
\(126\) −5.91182 12.2210i −0.526667 1.08873i
\(127\) 13.2943 4.31959i 1.17968 0.383301i 0.347432 0.937705i \(-0.387054\pi\)
0.832248 + 0.554404i \(0.187054\pi\)
\(128\) 4.37093 + 10.4353i 0.386339 + 0.922357i
\(129\) −5.35516 9.06595i −0.471496 0.798213i
\(130\) 1.90380 1.28568i 0.166974 0.112762i
\(131\) −2.46905 1.79387i −0.215722 0.156731i 0.474677 0.880160i \(-0.342565\pi\)
−0.690399 + 0.723429i \(0.742565\pi\)
\(132\) −5.86137 + 14.4496i −0.510167 + 1.25768i
\(133\) −13.5184 9.82168i −1.17219 0.851647i
\(134\) 6.59934 2.23058i 0.570096 0.192693i
\(135\) 0.189290 11.6174i 0.0162915 0.999867i
\(136\) −0.216317 0.276616i −0.0185490 0.0237196i
\(137\) 8.03317 + 2.61013i 0.686320 + 0.222999i 0.631360 0.775490i \(-0.282497\pi\)
0.0549597 + 0.998489i \(0.482497\pi\)
\(138\) 4.92131 + 20.9080i 0.418929 + 1.77980i
\(139\) 12.1373 3.94364i 1.02947 0.334496i 0.254890 0.966970i \(-0.417961\pi\)
0.774581 + 0.632474i \(0.217961\pi\)
\(140\) −13.7060 + 4.11394i −1.15837 + 0.347691i
\(141\) −1.21817 + 2.81097i −0.102588 + 0.236726i
\(142\) 13.1821 0.155368i 1.10622 0.0130382i
\(143\) −3.27005 −0.273455
\(144\) 2.05095 + 11.8234i 0.170912 + 0.985286i
\(145\) −9.30735 14.1385i −0.772934 1.17414i
\(146\) 4.64207 14.8814i 0.384181 1.23159i
\(147\) −4.83038 + 2.85325i −0.398403 + 0.235332i
\(148\) 18.9737 0.447321i 1.55963 0.0367696i
\(149\) 6.69769i 0.548696i 0.961631 + 0.274348i \(0.0884620\pi\)
−0.961631 + 0.274348i \(0.911538\pi\)
\(150\) −12.0599 2.13541i −0.984683 0.174355i
\(151\) 9.05550i 0.736926i −0.929642 0.368463i \(-0.879884\pi\)
0.929642 0.368463i \(-0.120116\pi\)
\(152\) 9.09861 + 11.6349i 0.737995 + 0.943714i
\(153\) −0.158229 0.337174i −0.0127921 0.0272589i
\(154\) 19.4457 + 6.06587i 1.56698 + 0.488801i
\(155\) −0.367803 + 0.460028i −0.0295427 + 0.0369503i
\(156\) −2.13599 + 1.33059i −0.171016 + 0.106533i
\(157\) 2.53598 0.202393 0.101197 0.994866i \(-0.467733\pi\)
0.101197 + 0.994866i \(0.467733\pi\)
\(158\) 0.106965 + 9.07538i 0.00850968 + 0.721999i
\(159\) −9.81899 4.25518i −0.778696 0.337458i
\(160\) 12.6481 0.161866i 0.999918 0.0127966i
\(161\) 26.6858 8.67075i 2.10314 0.683351i
\(162\) −0.676146 + 12.7099i −0.0531230 + 0.998588i
\(163\) −4.70483 1.52869i −0.368511 0.119736i 0.118907 0.992905i \(-0.462061\pi\)
−0.487418 + 0.873169i \(0.662061\pi\)
\(164\) −0.126478 5.36475i −0.00987630 0.418916i
\(165\) 12.5252 + 12.1265i 0.975088 + 0.944044i
\(166\) −2.41523 7.14563i −0.187458 0.554608i
\(167\) −12.9455 9.40546i −1.00175 0.727816i −0.0392897 0.999228i \(-0.512510\pi\)
−0.962463 + 0.271412i \(0.912510\pi\)
\(168\) 15.1701 3.95030i 1.17040 0.304772i
\(169\) 10.0903 + 7.33101i 0.776174 + 0.563924i
\(170\) −0.377333 + 0.108427i −0.0289401 + 0.00831600i
\(171\) 6.65537 + 14.1821i 0.508949 + 1.08453i
\(172\) 11.4715 4.02863i 0.874695 0.307180i
\(173\) −1.29345 + 0.420267i −0.0983390 + 0.0319523i −0.357773 0.933808i \(-0.616464\pi\)
0.259434 + 0.965761i \(0.416464\pi\)
\(174\) 9.61808 + 15.8531i 0.729145 + 1.20182i
\(175\) −1.47405 + 15.9312i −0.111428 + 1.20428i
\(176\) −15.0492 9.88510i −1.13438 0.745117i
\(177\) −0.181610 0.814486i −0.0136506 0.0612205i
\(178\) −13.3095 4.15174i −0.997586 0.311186i
\(179\) 2.09279 1.52050i 0.156423 0.113648i −0.506821 0.862051i \(-0.669179\pi\)
0.663243 + 0.748404i \(0.269179\pi\)
\(180\) 13.1157 + 2.82442i 0.977590 + 0.210520i
\(181\) 5.49246 + 3.99050i 0.408251 + 0.296612i 0.772893 0.634536i \(-0.218809\pi\)
−0.364642 + 0.931148i \(0.618809\pi\)
\(182\) 1.96351 + 2.63662i 0.145545 + 0.195439i
\(183\) 4.87909 + 4.30605i 0.360672 + 0.318312i
\(184\) −24.7867 + 0.876753i −1.82730 + 0.0646351i
\(185\) 7.48074 19.8568i 0.549995 1.45990i
\(186\) 0.421203 0.488747i 0.0308841 0.0358367i
\(187\) 0.531499 + 0.172694i 0.0388670 + 0.0126287i
\(188\) −2.91012 2.01127i −0.212242 0.146687i
\(189\) 16.6195 0.496064i 1.20889 0.0360833i
\(190\) 15.8712 4.56062i 1.15142 0.330862i
\(191\) −6.87204 + 21.1500i −0.497244 + 1.53036i 0.316187 + 0.948697i \(0.397597\pi\)
−0.813431 + 0.581662i \(0.802403\pi\)
\(192\) −13.8524 0.333337i −0.999711 0.0240565i
\(193\) −15.5081 −1.11630 −0.558150 0.829740i \(-0.688489\pi\)
−0.558150 + 0.829740i \(0.688489\pi\)
\(194\) 8.14209 0.0959649i 0.584568 0.00688988i
\(195\) 0.485027 + 2.77144i 0.0347335 + 0.198467i
\(196\) −2.14647 6.11208i −0.153320 0.436577i
\(197\) −8.04491 11.0729i −0.573176 0.788910i 0.419750 0.907640i \(-0.362118\pi\)
−0.992927 + 0.118730i \(0.962118\pi\)
\(198\) −13.2219 13.7804i −0.939641 0.979333i
\(199\) 0.869554i 0.0616411i 0.999525 + 0.0308205i \(0.00981203\pi\)
−0.999525 + 0.0308205i \(0.990188\pi\)
\(200\) 5.12806 13.1796i 0.362609 0.931942i
\(201\) −0.807368 + 8.49342i −0.0569473 + 0.599080i
\(202\) 13.6664 19.2840i 0.961562 1.35682i
\(203\) 19.5967 14.2378i 1.37542 0.999298i
\(204\) 0.417443 0.103465i 0.0292269 0.00724398i
\(205\) −5.61442 2.11515i −0.392128 0.147728i
\(206\) 0.0142953 + 1.21288i 0.000996003 + 0.0845053i
\(207\) −25.8355 4.95654i −1.79569 0.344503i
\(208\) −1.02719 2.71823i −0.0712229 0.188475i
\(209\) −22.3557 7.26379i −1.54637 0.502447i
\(210\) 2.25670 17.3804i 0.155727 1.19936i
\(211\) 5.77320 1.87583i 0.397444 0.129137i −0.103474 0.994632i \(-0.532996\pi\)
0.500918 + 0.865495i \(0.332996\pi\)
\(212\) 7.02555 10.1653i 0.482516 0.698157i
\(213\) −6.42007 + 14.8145i −0.439896 + 1.01508i
\(214\) −7.26157 5.14619i −0.496391 0.351786i
\(215\) 0.626867 13.5790i 0.0427520 0.926080i
\(216\) −14.2438 3.62131i −0.969169 0.246399i
\(217\) −0.681878 0.495414i −0.0462889 0.0336309i
\(218\) 3.01989 2.24893i 0.204533 0.152317i
\(219\) 14.3145 + 12.6333i 0.967284 + 0.853679i
\(220\) −16.5488 + 11.4621i −1.11572 + 0.772776i
\(221\) 0.0530130 + 0.0729662i 0.00356604 + 0.00490824i
\(222\) −8.99069 + 21.4353i −0.603415 + 1.43864i
\(223\) −19.5845 + 6.36338i −1.31147 + 0.426124i −0.879559 0.475790i \(-0.842162\pi\)
−0.431915 + 0.901914i \(0.642162\pi\)
\(224\) 1.06605 + 18.0696i 0.0712287 + 1.20733i
\(225\) 8.41967 12.4141i 0.561311 0.827605i
\(226\) 12.5578 + 16.8628i 0.835333 + 1.12170i
\(227\) 2.21402 + 6.81405i 0.146950 + 0.452264i 0.997257 0.0740228i \(-0.0235838\pi\)
−0.850307 + 0.526287i \(0.823584\pi\)
\(228\) −17.5583 + 4.35189i −1.16283 + 0.288211i
\(229\) −7.28226 + 5.29087i −0.481225 + 0.349630i −0.801800 0.597593i \(-0.796124\pi\)
0.320575 + 0.947223i \(0.396124\pi\)
\(230\) −9.46950 + 26.0627i −0.624401 + 1.71852i
\(231\) −16.5081 + 18.7050i −1.08616 + 1.23070i
\(232\) −20.1166 + 7.33212i −1.32072 + 0.481377i
\(233\) −10.8431 + 14.9243i −0.710357 + 0.977722i 0.289433 + 0.957198i \(0.406533\pi\)
−0.999789 + 0.0205238i \(0.993467\pi\)
\(234\) −0.419092 3.05348i −0.0273969 0.199612i
\(235\) −3.30351 + 2.17470i −0.215497 + 0.141862i
\(236\) 0.963315 0.0227110i 0.0627065 0.00147836i
\(237\) −10.1993 4.41998i −0.662513 0.287108i
\(238\) −0.179897 0.532239i −0.0116610 0.0344999i
\(239\) −3.81935 11.7548i −0.247054 0.760353i −0.995292 0.0969226i \(-0.969100\pi\)
0.748238 0.663430i \(-0.230900\pi\)
\(240\) −6.14568 + 14.2208i −0.396702 + 0.917947i
\(241\) 3.13012 9.63351i 0.201629 0.620549i −0.798206 0.602384i \(-0.794218\pi\)
0.999835 0.0181650i \(-0.00578243\pi\)
\(242\) 13.0978 0.154374i 0.841959 0.00992356i
\(243\) −13.8708 7.11348i −0.889811 0.456330i
\(244\) −5.97334 + 4.55880i −0.382404 + 0.291847i
\(245\) −7.23495 0.333997i −0.462224 0.0213383i
\(246\) 6.06074 + 2.54208i 0.386419 + 0.162077i
\(247\) −2.22981 3.06907i −0.141879 0.195280i
\(248\) 0.458942 + 0.586873i 0.0291428 + 0.0372665i
\(249\) 9.19651 + 0.874202i 0.582805 + 0.0554003i
\(250\) −11.5158 10.8345i −0.728321 0.685236i
\(251\) 11.1839 0.705921 0.352960 0.935638i \(-0.385175\pi\)
0.352960 + 0.935638i \(0.385175\pi\)
\(252\) −3.17196 + 18.9352i −0.199815 + 1.19281i
\(253\) 31.9335 23.2010i 2.00764 1.45864i
\(254\) −18.8717 5.88682i −1.18412 0.369372i
\(255\) 0.0675284 0.476072i 0.00422879 0.0298128i
\(256\) 3.48970 15.6148i 0.218106 0.975925i
\(257\) 17.1718i 1.07115i 0.844488 + 0.535574i \(0.179905\pi\)
−0.844488 + 0.535574i \(0.820095\pi\)
\(258\) −1.23434 + 14.8396i −0.0768467 + 0.923876i
\(259\) 28.8788 + 9.38328i 1.79444 + 0.583049i
\(260\) −3.24800 0.0732880i −0.201432 0.00454513i
\(261\) −22.5339 + 2.82263i −1.39481 + 0.174717i
\(262\) 1.38202 + 4.08881i 0.0853814 + 0.252607i
\(263\) 3.36546 10.3578i 0.207523 0.638691i −0.792077 0.610421i \(-0.791000\pi\)
0.999600 0.0282698i \(-0.00899976\pi\)
\(264\) 18.5787 11.8796i 1.14344 0.731139i
\(265\) −7.59642 11.5395i −0.466644 0.708865i
\(266\) 7.56674 + 22.3868i 0.463947 + 1.37262i
\(267\) 11.2989 12.8025i 0.691479 0.783499i
\(268\) −9.43855 2.82263i −0.576551 0.172419i
\(269\) 4.89920 6.74316i 0.298709 0.411138i −0.633109 0.774062i \(-0.718222\pi\)
0.931819 + 0.362924i \(0.118222\pi\)
\(270\) −9.71811 + 13.2498i −0.591425 + 0.806360i
\(271\) −2.27947 3.13742i −0.138468 0.190585i 0.734151 0.678986i \(-0.237580\pi\)
−0.872619 + 0.488401i \(0.837580\pi\)
\(272\) 0.0234028 + 0.496055i 0.00141901 + 0.0300778i
\(273\) −3.92975 + 0.876235i −0.237839 + 0.0530321i
\(274\) −7.13465 9.58050i −0.431020 0.578779i
\(275\) 4.95328 + 21.9550i 0.298694 + 1.32393i
\(276\) 11.4183 28.1486i 0.687300 1.69435i
\(277\) 6.80802 + 20.9529i 0.409054 + 1.25894i 0.917462 + 0.397823i \(0.130234\pi\)
−0.508408 + 0.861116i \(0.669766\pi\)
\(278\) −17.2293 5.37447i −1.03334 0.322340i
\(279\) 0.335703 + 0.715355i 0.0200980 + 0.0428272i
\(280\) 19.1786 + 6.46077i 1.14614 + 0.386105i
\(281\) −7.62089 + 10.4893i −0.454624 + 0.625736i −0.973383 0.229184i \(-0.926394\pi\)
0.518759 + 0.854920i \(0.326394\pi\)
\(282\) 3.70414 2.24730i 0.220578 0.133825i
\(283\) 2.12190 2.92054i 0.126134 0.173608i −0.741280 0.671196i \(-0.765781\pi\)
0.867413 + 0.497588i \(0.165781\pi\)
\(284\) −15.3371 10.5999i −0.910089 0.628988i
\(285\) −2.84035 + 20.0243i −0.168248 + 1.18614i
\(286\) 3.77311 + 2.67396i 0.223109 + 0.158115i
\(287\) 2.65309 8.16536i 0.156607 0.481986i
\(288\) 7.30170 15.3194i 0.430257 0.902707i
\(289\) 5.24853 + 16.1533i 0.308737 + 0.950194i
\(290\) −0.822026 + 23.9243i −0.0482710 + 1.40488i
\(291\) −3.96543 + 9.15038i −0.232458 + 0.536405i
\(292\) −17.5249 + 13.3748i −1.02557 + 0.782702i
\(293\) 23.9925i 1.40166i −0.713330 0.700828i \(-0.752814\pi\)
0.713330 0.700828i \(-0.247186\pi\)
\(294\) 7.90663 + 0.657662i 0.461124 + 0.0383556i
\(295\) 0.379805 1.00815i 0.0221131 0.0586967i
\(296\) −22.2584 14.9989i −1.29374 0.871794i
\(297\) 22.0194 7.88828i 1.27770 0.457725i
\(298\) 5.47678 7.72806i 0.317261 0.447674i
\(299\) 6.37025 0.368401
\(300\) 12.1690 + 12.3254i 0.702577 + 0.711608i
\(301\) 19.4524 1.12122
\(302\) −7.40479 + 10.4486i −0.426098 + 0.601249i
\(303\) 14.7225 + 24.9242i 0.845783 + 1.43186i
\(304\) −0.984359 20.8648i −0.0564569 1.19668i
\(305\) 2.22488 + 8.10118i 0.127396 + 0.463872i
\(306\) −0.0931398 + 0.518431i −0.00532445 + 0.0296367i
\(307\) 31.2261i 1.78217i 0.453839 + 0.891084i \(0.350054\pi\)
−0.453839 + 0.891084i \(0.649946\pi\)
\(308\) −17.4771 22.9000i −0.995849 1.30485i
\(309\) −1.36308 0.590707i −0.0775428 0.0336042i
\(310\) 0.800557 0.230042i 0.0454686 0.0130655i
\(311\) −0.903569 2.78090i −0.0512367 0.157690i 0.922164 0.386798i \(-0.126419\pi\)
−0.973401 + 0.229108i \(0.926419\pi\)
\(312\) 3.55263 + 0.211332i 0.201128 + 0.0119643i
\(313\) 7.75708 23.8738i 0.438456 1.34943i −0.451047 0.892500i \(-0.648949\pi\)
0.889503 0.456929i \(-0.151051\pi\)
\(314\) −2.92611 2.07370i −0.165130 0.117026i
\(315\) 18.3014 + 11.2166i 1.03117 + 0.631985i
\(316\) 7.29763 10.5590i 0.410524 0.593991i
\(317\) −1.81553 + 2.49886i −0.101970 + 0.140350i −0.856953 0.515395i \(-0.827645\pi\)
0.754983 + 0.655745i \(0.227645\pi\)
\(318\) 7.85003 + 12.9389i 0.440208 + 0.725578i
\(319\) 20.0289 27.5674i 1.12140 1.54348i
\(320\) −14.7262 10.1557i −0.823220 0.567722i
\(321\) 9.38542 5.54387i 0.523843 0.309428i
\(322\) −37.8813 11.8167i −2.11104 0.658517i
\(323\) 0.200342 + 0.616591i 0.0111474 + 0.0343080i
\(324\) 11.1732 14.1124i 0.620736 0.784020i
\(325\) −1.43594 + 3.33641i −0.0796517 + 0.185071i
\(326\) 4.17859 + 5.61106i 0.231431 + 0.310768i
\(327\) 1.00361 + 4.50099i 0.0554996 + 0.248905i
\(328\) −4.24088 + 6.29348i −0.234164 + 0.347499i
\(329\) −3.32672 4.57883i −0.183408 0.252439i
\(330\) −4.53616 24.2340i −0.249707 1.33404i
\(331\) 10.1452 13.9637i 0.557630 0.767512i −0.433393 0.901205i \(-0.642684\pi\)
0.991023 + 0.133693i \(0.0426837\pi\)
\(332\) −3.05628 + 10.2199i −0.167735 + 0.560888i
\(333\) −19.4662 20.7731i −1.06674 1.13836i
\(334\) 7.24608 + 21.4381i 0.396488 + 1.17304i
\(335\) −6.87813 + 8.60279i −0.375793 + 0.470021i
\(336\) −20.7341 7.84675i −1.13114 0.428075i
\(337\) −7.59358 + 23.3706i −0.413649 + 1.27308i 0.499805 + 0.866138i \(0.333405\pi\)
−0.913454 + 0.406942i \(0.866595\pi\)
\(338\) −5.64790 16.7097i −0.307205 0.908890i
\(339\) −25.1331 + 5.60405i −1.36504 + 0.304370i
\(340\) 0.524044 + 0.183442i 0.0284203 + 0.00994852i
\(341\) −1.12764 0.366392i −0.0610650 0.0198412i
\(342\) 3.91760 21.8060i 0.211840 1.17913i
\(343\) 12.0346i 0.649806i
\(344\) −16.5306 4.73200i −0.891268 0.255132i
\(345\) −24.3999 23.6231i −1.31365 1.27182i
\(346\) 1.83609 + 0.572748i 0.0987088 + 0.0307911i
\(347\) 8.15225 5.92296i 0.437636 0.317961i −0.347059 0.937843i \(-0.612820\pi\)
0.784695 + 0.619882i \(0.212820\pi\)
\(348\) 1.86556 26.1568i 0.100005 1.40215i
\(349\) 31.9479 1.71013 0.855066 0.518518i \(-0.173516\pi\)
0.855066 + 0.518518i \(0.173516\pi\)
\(350\) 14.7279 17.1767i 0.787241 0.918133i
\(351\) 3.62324 + 1.05885i 0.193394 + 0.0565171i
\(352\) 9.28126 + 23.7118i 0.494693 + 1.26384i
\(353\) 16.9510 + 23.3311i 0.902211 + 1.24179i 0.969758 + 0.244070i \(0.0784828\pi\)
−0.0675468 + 0.997716i \(0.521517\pi\)
\(354\) −0.456466 + 1.08829i −0.0242609 + 0.0578420i
\(355\) −17.4104 + 11.4612i −0.924046 + 0.608298i
\(356\) 11.9621 + 15.6737i 0.633988 + 0.830707i
\(357\) 0.684998 + 0.0651145i 0.0362539 + 0.00344623i
\(358\) −3.65808 + 0.0431152i −0.193336 + 0.00227871i
\(359\) −2.76281 + 8.50306i −0.145816 + 0.448774i −0.997115 0.0759060i \(-0.975815\pi\)
0.851299 + 0.524680i \(0.175815\pi\)
\(360\) −12.8239 13.9838i −0.675879 0.737013i
\(361\) −2.55539 7.86467i −0.134494 0.413930i
\(362\) −3.07433 9.09565i −0.161583 0.478057i
\(363\) −6.37902 + 14.7198i −0.334811 + 0.772590i
\(364\) −0.109576 4.64782i −0.00574336 0.243612i
\(365\) 6.52745 + 23.7676i 0.341662 + 1.24406i
\(366\) −2.10857 8.95818i −0.110217 0.468252i
\(367\) 3.26225 4.49011i 0.170288 0.234382i −0.715340 0.698777i \(-0.753728\pi\)
0.885628 + 0.464395i \(0.153728\pi\)
\(368\) 29.3168 + 19.2567i 1.52824 + 1.00383i
\(369\) −5.87351 + 5.50399i −0.305763 + 0.286526i
\(370\) −24.8687 + 16.7944i −1.29286 + 0.873102i
\(371\) 15.9943 11.6205i 0.830382 0.603308i
\(372\) −0.885656 + 0.219513i −0.0459191 + 0.0113812i
\(373\) 4.22694 + 13.0092i 0.218863 + 0.673590i 0.998857 + 0.0478029i \(0.0152219\pi\)
−0.779994 + 0.625787i \(0.784778\pi\)
\(374\) −0.472050 0.633875i −0.0244091 0.0327769i
\(375\) 17.8726 7.45446i 0.922939 0.384947i
\(376\) 1.71318 + 4.70032i 0.0883503 + 0.242401i
\(377\) 5.23014 1.69937i 0.269366 0.0875222i
\(378\) −19.5819 13.0176i −1.00718 0.669552i
\(379\) −1.53841 2.11744i −0.0790229 0.108766i 0.767676 0.640839i \(-0.221413\pi\)
−0.846699 + 0.532073i \(0.821413\pi\)
\(380\) −22.0421 7.71584i −1.13074 0.395814i
\(381\) 16.0209 18.1528i 0.820773 0.929999i
\(382\) 25.2238 18.7843i 1.29056 0.961090i
\(383\) −16.6069 12.0656i −0.848571 0.616523i 0.0761809 0.997094i \(-0.475727\pi\)
−0.924752 + 0.380571i \(0.875727\pi\)
\(384\) 15.7109 + 11.7119i 0.801742 + 0.597670i
\(385\) −31.0576 + 8.52952i −1.58284 + 0.434704i
\(386\) 17.8939 + 12.6812i 0.910776 + 0.645456i
\(387\) −15.9724 8.80279i −0.811924 0.447471i
\(388\) −9.47314 6.54715i −0.480926 0.332381i
\(389\) 28.0578 9.11654i 1.42259 0.462227i 0.506164 0.862437i \(-0.331063\pi\)
0.916423 + 0.400210i \(0.131063\pi\)
\(390\) 1.70660 3.59441i 0.0864170 0.182010i
\(391\) −1.03539 0.336419i −0.0523620 0.0170134i
\(392\) −2.52123 + 8.80756i −0.127341 + 0.444849i
\(393\) −5.26234 0.500228i −0.265450 0.0252332i
\(394\) 0.228120 + 19.3547i 0.0114925 + 0.975078i
\(395\) −7.89062 11.9864i −0.397020 0.603100i
\(396\) 3.98755 + 26.7121i 0.200382 + 1.34234i
\(397\) −15.2914 + 11.1099i −0.767455 + 0.557588i −0.901188 0.433429i \(-0.857304\pi\)
0.133733 + 0.991017i \(0.457304\pi\)
\(398\) 0.711045 1.00333i 0.0356415 0.0502922i
\(399\) −28.8121 2.73882i −1.44241 0.137112i
\(400\) −16.6941 + 11.0139i −0.834706 + 0.550696i
\(401\) 20.3531i 1.01639i −0.861243 0.508193i \(-0.830314\pi\)
0.861243 0.508193i \(-0.169686\pi\)
\(402\) 7.87675 9.13986i 0.392856 0.455855i
\(403\) −0.112473 0.154806i −0.00560270 0.00771146i
\(404\) −31.5376 + 11.0756i −1.56905 + 0.551029i
\(405\) −9.95151 17.4919i −0.494494 0.869181i
\(406\) −34.2538 + 0.403725i −1.69999 + 0.0200366i
\(407\) 42.7156 2.11733
\(408\) −0.566267 0.221967i −0.0280344 0.0109890i
\(409\) 7.28912 22.4336i 0.360424 1.10927i −0.592373 0.805664i \(-0.701809\pi\)
0.952797 0.303607i \(-0.0981911\pi\)
\(410\) 4.74856 + 7.03153i 0.234515 + 0.347262i
\(411\) 14.2792 3.18391i 0.704343 0.157051i
\(412\) 0.975291 1.41116i 0.0480491 0.0695227i
\(413\) 1.46620 + 0.476399i 0.0721472 + 0.0234420i
\(414\) 25.7571 + 26.8451i 1.26589 + 1.31936i
\(415\) 9.31493 + 7.44751i 0.457252 + 0.365584i
\(416\) −1.03751 + 3.97635i −0.0508682 + 0.194956i
\(417\) 14.6265 16.5730i 0.716264 0.811582i
\(418\) 19.8552 + 26.6617i 0.971148 + 1.30407i
\(419\) −21.8072 15.8439i −1.06535 0.774024i −0.0902819 0.995916i \(-0.528777\pi\)
−0.975071 + 0.221892i \(0.928777\pi\)
\(420\) −16.8160 + 18.2089i −0.820538 + 0.888501i
\(421\) 23.3938 16.9966i 1.14015 0.828365i 0.153006 0.988225i \(-0.451104\pi\)
0.987140 + 0.159861i \(0.0511045\pi\)
\(422\) −8.19524 2.55641i −0.398938 0.124444i
\(423\) 0.659519 + 5.26512i 0.0320669 + 0.255999i
\(424\) −16.4187 + 5.98429i −0.797361 + 0.290623i
\(425\) 0.409590 0.466452i 0.0198680 0.0226262i
\(426\) 19.5218 11.8438i 0.945833 0.573836i
\(427\) −11.4338 + 3.71505i −0.553318 + 0.179784i
\(428\) 4.17060 + 11.8758i 0.201593 + 0.574036i
\(429\) −4.87666 + 2.88059i −0.235448 + 0.139076i
\(430\) −11.8270 + 15.1554i −0.570349 + 0.730858i
\(431\) −11.7243 8.51823i −0.564741 0.410308i 0.268450 0.963294i \(-0.413489\pi\)
−0.833191 + 0.552985i \(0.813489\pi\)
\(432\) 13.4739 + 15.8257i 0.648263 + 0.761417i
\(433\) −1.61446 1.17297i −0.0775858 0.0563694i 0.548316 0.836271i \(-0.315269\pi\)
−0.625902 + 0.779902i \(0.715269\pi\)
\(434\) 0.381673 + 1.12921i 0.0183209 + 0.0542037i
\(435\) −26.3348 12.8860i −1.26266 0.617839i
\(436\) −5.32345 + 0.125505i −0.254947 + 0.00601059i
\(437\) 43.5501 + 14.1503i 2.08328 + 0.676900i
\(438\) −6.18624 26.2819i −0.295590 1.25580i
\(439\) −34.6081 + 11.2449i −1.65175 + 0.536688i −0.979119 0.203287i \(-0.934838\pi\)
−0.672635 + 0.739974i \(0.734838\pi\)
\(440\) 28.4674 + 0.306734i 1.35713 + 0.0146230i
\(441\) −4.69017 + 8.51018i −0.223341 + 0.405247i
\(442\) −0.00150323 0.127541i −7.15014e−5 0.00606649i
\(443\) 3.14033 0.149202 0.0746008 0.997213i \(-0.476232\pi\)
0.0746008 + 0.997213i \(0.476232\pi\)
\(444\) 27.9017 17.3811i 1.32416 0.824870i
\(445\) 21.2571 5.83796i 1.00768 0.276746i
\(446\) 27.8008 + 8.67214i 1.31641 + 0.410638i
\(447\) 5.90001 + 9.98834i 0.279061 + 0.472432i
\(448\) 13.5457 21.7212i 0.639975 1.02623i
\(449\) 41.8754i 1.97622i 0.153740 + 0.988111i \(0.450868\pi\)
−0.153740 + 0.988111i \(0.549132\pi\)
\(450\) −19.8661 + 7.43899i −0.936496 + 0.350677i
\(451\) 12.0777i 0.568715i
\(452\) −0.700806 29.7256i −0.0329632 1.39818i
\(453\) −7.97701 13.5046i −0.374792 0.634500i
\(454\) 3.01731 9.67275i 0.141609 0.453965i
\(455\) −4.86414 1.83249i −0.228034 0.0859085i
\(456\) 23.8181 + 9.33625i 1.11538 + 0.437210i
\(457\) −28.4964 −1.33300 −0.666502 0.745504i \(-0.732209\pi\)
−0.666502 + 0.745504i \(0.732209\pi\)
\(458\) 12.7290 0.150027i 0.594786 0.00701031i
\(459\) −0.532987 0.363447i −0.0248777 0.0169643i
\(460\) 32.2381 22.3289i 1.50311 1.04109i
\(461\) −4.21844 + 1.37065i −0.196472 + 0.0638377i −0.405600 0.914051i \(-0.632937\pi\)
0.209128 + 0.977888i \(0.432937\pi\)
\(462\) 34.3430 8.08365i 1.59778 0.376085i
\(463\) −26.8120 8.71174i −1.24606 0.404869i −0.389551 0.921005i \(-0.627370\pi\)
−0.856507 + 0.516136i \(0.827370\pi\)
\(464\) 29.2069 + 7.98951i 1.35590 + 0.370904i
\(465\) −0.143270 + 1.01004i −0.00664397 + 0.0468397i
\(466\) 24.7150 8.35368i 1.14490 0.386977i
\(467\) 5.88884 + 4.27849i 0.272503 + 0.197985i 0.715641 0.698468i \(-0.246135\pi\)
−0.443138 + 0.896453i \(0.646135\pi\)
\(468\) −2.01330 + 3.86592i −0.0930649 + 0.178702i
\(469\) −12.7515 9.26452i −0.588811 0.427796i
\(470\) 5.59000 + 0.192069i 0.257847 + 0.00885950i
\(471\) 3.78194 2.23395i 0.174262 0.102935i
\(472\) −1.13008 0.761510i −0.0520163 0.0350513i
\(473\) 26.0252 8.45611i 1.19664 0.388812i
\(474\) 8.15404 + 13.4400i 0.374528 + 0.617320i
\(475\) −17.2280 + 19.6197i −0.790475 + 0.900212i
\(476\) −0.227646 + 0.761223i −0.0104341 + 0.0348906i
\(477\) −18.3916 + 2.30376i −0.842092 + 0.105482i
\(478\) −5.20509 + 16.6863i −0.238075 + 0.763211i
\(479\) −10.4638 + 7.60243i −0.478105 + 0.347364i −0.800592 0.599210i \(-0.795481\pi\)
0.322486 + 0.946574i \(0.395481\pi\)
\(480\) 18.7196 11.3831i 0.854431 0.519565i
\(481\) 5.57715 + 4.05203i 0.254296 + 0.184757i
\(482\) −11.4891 + 8.55600i −0.523314 + 0.389715i
\(483\) 32.1588 36.4384i 1.46328 1.65800i
\(484\) −15.2390 10.5321i −0.692682 0.478732i
\(485\) −10.7537 + 7.07916i −0.488301 + 0.321448i
\(486\) 10.1879 + 19.5501i 0.462131 + 0.886811i
\(487\) 34.5774 + 11.2349i 1.56685 + 0.509101i 0.958628 0.284663i \(-0.0918816\pi\)
0.608226 + 0.793764i \(0.291882\pi\)
\(488\) 10.6201 0.375652i 0.480748 0.0170050i
\(489\) −8.36300 + 1.86474i −0.378188 + 0.0843264i
\(490\) 8.07486 + 6.30149i 0.364785 + 0.284672i
\(491\) 2.27746 7.00929i 0.102780 0.316325i −0.886423 0.462876i \(-0.846817\pi\)
0.989203 + 0.146551i \(0.0468174\pi\)
\(492\) −4.91443 7.88909i −0.221560 0.355668i
\(493\) −0.939828 −0.0423277
\(494\) 0.0632282 + 5.36456i 0.00284477 + 0.241363i
\(495\) 29.3613 + 7.05084i 1.31969 + 0.316912i
\(496\) −0.0496519 1.05244i −0.00222944 0.0472560i
\(497\) −17.5327 24.1316i −0.786447 1.08245i
\(498\) −9.89645 8.52879i −0.443471 0.382184i
\(499\) 20.2854i 0.908101i 0.890976 + 0.454051i \(0.150021\pi\)
−0.890976 + 0.454051i \(0.849979\pi\)
\(500\) 4.42782 + 21.9179i 0.198018 + 0.980198i
\(501\) −27.5911 2.62275i −1.23268 0.117176i
\(502\) −12.9044 9.14520i −0.575952 0.408170i
\(503\) −17.4711 + 12.6935i −0.778998 + 0.565975i −0.904678 0.426096i \(-0.859889\pi\)
0.125680 + 0.992071i \(0.459889\pi\)
\(504\) 19.1435 19.2545i 0.852719 0.857663i
\(505\) −1.72339 + 37.3315i −0.0766897 + 1.66123i
\(506\) −55.8179 + 0.657885i −2.48141 + 0.0292465i
\(507\) 21.5056 + 2.04428i 0.955099 + 0.0907898i
\(508\) 16.9612 + 22.2241i 0.752532 + 0.986033i
\(509\) 2.01333 + 0.654171i 0.0892393 + 0.0289956i 0.353296 0.935511i \(-0.385061\pi\)
−0.264057 + 0.964507i \(0.585061\pi\)
\(510\) −0.467207 + 0.494092i −0.0206883 + 0.0218788i
\(511\) −33.5449 + 10.8994i −1.48394 + 0.482161i
\(512\) −16.7950 + 15.1634i −0.742240 + 0.670135i
\(513\) 22.4182 + 15.2871i 0.989789 + 0.674944i
\(514\) 14.0416 19.8135i 0.619348 0.873936i
\(515\) −1.05454 1.60192i −0.0464686 0.0705889i
\(516\) 13.5588 16.1132i 0.596892 0.709346i
\(517\) −6.44123 4.67983i −0.283285 0.205819i
\(518\) −25.6487 34.4413i −1.12694 1.51327i
\(519\) −1.55872 + 1.76615i −0.0684203 + 0.0775254i
\(520\) 3.68774 + 2.74049i 0.161718 + 0.120178i
\(521\) −12.1266 16.6909i −0.531278 0.731241i 0.456047 0.889956i \(-0.349265\pi\)
−0.987324 + 0.158715i \(0.949265\pi\)
\(522\) 28.3086 + 15.1694i 1.23903 + 0.663945i
\(523\) −10.2537 + 3.33162i −0.448362 + 0.145682i −0.524490 0.851416i \(-0.675744\pi\)
0.0761284 + 0.997098i \(0.475744\pi\)
\(524\) 1.74884 5.84792i 0.0763984 0.255468i
\(525\) 11.8355 + 25.0569i 0.516545 + 1.09357i
\(526\) −12.3529 + 9.19930i −0.538613 + 0.401108i
\(527\) 0.0101054 + 0.0311014i 0.000440200 + 0.00135480i
\(528\) −31.1509 1.48485i −1.35567 0.0646199i
\(529\) −43.6008 + 31.6779i −1.89569 + 1.37730i
\(530\) −0.670917 + 19.5264i −0.0291428 + 0.848173i
\(531\) −0.988319 1.05467i −0.0428894 0.0457689i
\(532\) 9.57514 32.0182i 0.415135 1.38816i
\(533\) 1.14570 1.57692i 0.0496256 0.0683038i
\(534\) −23.5058 + 5.53279i −1.01720 + 0.239427i
\(535\) 14.0575 + 0.648956i 0.607758 + 0.0280568i
\(536\) 8.58248 + 10.9749i 0.370707 + 0.474042i
\(537\) 1.78159 4.11109i 0.0768814 0.177407i
\(538\) −11.1669 + 3.77440i −0.481437 + 0.162726i
\(539\) −4.50545 13.8664i −0.194064 0.597266i
\(540\) 22.0477 7.34159i 0.948782 0.315932i
\(541\) 0.557838 1.71685i 0.0239833 0.0738130i −0.938348 0.345691i \(-0.887645\pi\)
0.962332 + 0.271878i \(0.0876446\pi\)
\(542\) 0.0646363 + 5.48403i 0.00277637 + 0.235559i
\(543\) 11.7062 + 1.11277i 0.502362 + 0.0477535i
\(544\) 0.378627 0.591505i 0.0162335 0.0253606i
\(545\) −2.09887 + 5.57120i −0.0899056 + 0.238644i
\(546\) 5.25081 + 2.20237i 0.224714 + 0.0942526i
\(547\) −1.36110 1.87339i −0.0581964 0.0801005i 0.778927 0.627115i \(-0.215764\pi\)
−0.837123 + 0.547014i \(0.815764\pi\)
\(548\) 0.398159 + 16.8885i 0.0170085 + 0.721439i
\(549\) 11.0694 + 2.12367i 0.472433 + 0.0906360i
\(550\) 12.2375 29.3829i 0.521810 1.25289i
\(551\) 39.5306 1.68406
\(552\) −36.1924 + 23.1422i −1.54045 + 0.984996i
\(553\) 16.6137 12.0706i 0.706487 0.513293i
\(554\) 9.27810 29.7433i 0.394189 1.26367i
\(555\) −6.33575 36.2024i −0.268938 1.53671i
\(556\) 15.4850 + 20.2899i 0.656712 + 0.860482i
\(557\) 22.2726i 0.943720i −0.881673 0.471860i \(-0.843583\pi\)
0.881673 0.471860i \(-0.156417\pi\)
\(558\) 0.197607 1.09991i 0.00836538 0.0465630i
\(559\) 4.20013 + 1.36470i 0.177646 + 0.0577208i
\(560\) −16.8460 23.1373i −0.711873 0.977728i
\(561\) 0.944757 0.210657i 0.0398877 0.00889395i
\(562\) 17.3705 5.87123i 0.732729 0.247663i
\(563\) −2.34577 + 7.21954i −0.0988625 + 0.304267i −0.988241 0.152904i \(-0.951137\pi\)
0.889379 + 0.457172i \(0.151137\pi\)
\(564\) −6.11163 0.435896i −0.257346 0.0183545i
\(565\) −31.1091 11.7199i −1.30877 0.493059i
\(566\) −4.83649 + 1.63474i −0.203293 + 0.0687130i
\(567\) 24.3479 15.3799i 1.02251 0.645896i
\(568\) 9.02888 + 24.7719i 0.378843 + 1.03941i
\(569\) −15.0018 + 20.6482i −0.628908 + 0.865618i −0.997963 0.0637895i \(-0.979681\pi\)
0.369055 + 0.929408i \(0.379681\pi\)
\(570\) 19.6514 20.7823i 0.823108 0.870474i
\(571\) −22.0534 30.3539i −0.922906 1.27027i −0.962563 0.271058i \(-0.912627\pi\)
0.0396570 0.999213i \(-0.487373\pi\)
\(572\) −2.16704 6.17064i −0.0906086 0.258008i
\(573\) 8.38270 + 37.5948i 0.350192 + 1.57055i
\(574\) −9.73815 + 7.25206i −0.406462 + 0.302695i
\(575\) −9.64927 42.7695i −0.402402 1.78361i
\(576\) −20.9519 + 11.7055i −0.872995 + 0.487729i
\(577\) −10.7395 33.0529i −0.447093 1.37601i −0.880173 0.474654i \(-0.842573\pi\)
0.433080 0.901356i \(-0.357427\pi\)
\(578\) 7.15279 22.9301i 0.297517 0.953767i
\(579\) −23.1275 + 13.6612i −0.961145 + 0.567738i
\(580\) 20.5117 26.9326i 0.851701 1.11832i
\(581\) −10.0314 + 13.8071i −0.416174 + 0.572815i
\(582\) 12.0579 7.31549i 0.499814 0.303237i
\(583\) 16.3471 22.4998i 0.677027 0.931848i
\(584\) 31.1577 1.10211i 1.28931 0.0456055i
\(585\) 3.16470 + 3.70582i 0.130844 + 0.153217i
\(586\) −19.6190 + 27.6835i −0.810451 + 1.14359i
\(587\) −4.78598 + 14.7297i −0.197538 + 0.607961i 0.802399 + 0.596788i \(0.203557\pi\)
−0.999938 + 0.0111729i \(0.996443\pi\)
\(588\) −8.58521 7.22418i −0.354048 0.297920i
\(589\) −0.425050 1.30817i −0.0175139 0.0539022i
\(590\) −1.26261 + 0.852671i −0.0519808 + 0.0351039i
\(591\) −21.7516 9.42633i −0.894741 0.387747i
\(592\) 13.4179 + 35.5073i 0.551471 + 1.45934i
\(593\) 21.7592i 0.893542i 0.894648 + 0.446771i \(0.147426\pi\)
−0.894648 + 0.446771i \(0.852574\pi\)
\(594\) −31.8572 8.90372i −1.30712 0.365324i
\(595\) 0.693819 + 0.554724i 0.0284438 + 0.0227415i
\(596\) −12.6387 + 4.43851i −0.517699 + 0.181809i
\(597\) 0.765992 + 1.29678i 0.0313500 + 0.0530735i
\(598\) −7.35025 5.20903i −0.300574 0.213013i
\(599\) 35.8420 1.46446 0.732232 0.681055i \(-0.238479\pi\)
0.732232 + 0.681055i \(0.238479\pi\)
\(600\) −3.96244 24.1723i −0.161766 0.986829i
\(601\) −1.96891 −0.0803136 −0.0401568 0.999193i \(-0.512786\pi\)
−0.0401568 + 0.999193i \(0.512786\pi\)
\(602\) −22.4450 15.9065i −0.914790 0.648300i
\(603\) 6.27783 + 13.3776i 0.255653 + 0.544776i
\(604\) 17.0879 6.00102i 0.695296 0.244178i
\(605\) −17.2990 + 11.3879i −0.703305 + 0.462985i
\(606\) 3.39346 40.7973i 0.137850 1.65728i
\(607\) 39.1284i 1.58817i −0.607805 0.794086i \(-0.707950\pi\)
0.607805 0.794086i \(-0.292050\pi\)
\(608\) −15.9256 + 24.8796i −0.645870 + 1.00900i
\(609\) 16.6826 38.4958i 0.676014 1.55993i
\(610\) 4.05729 11.1668i 0.164275 0.452130i
\(611\) −0.397065 1.22204i −0.0160635 0.0494385i
\(612\) 0.531396 0.522025i 0.0214804 0.0211016i
\(613\) −9.83801 + 30.2783i −0.397354 + 1.22293i 0.529760 + 0.848148i \(0.322282\pi\)
−0.927113 + 0.374781i \(0.877718\pi\)
\(614\) 25.5340 36.0299i 1.03047 1.45405i
\(615\) −10.2361 + 1.79141i −0.412759 + 0.0722366i
\(616\) 1.44014 + 40.7142i 0.0580249 + 1.64042i
\(617\) 21.9212 30.1720i 0.882515 1.21468i −0.0932026 0.995647i \(-0.529710\pi\)
0.975718 0.219031i \(-0.0702896\pi\)
\(618\) 1.08975 + 1.79619i 0.0438360 + 0.0722533i
\(619\) 17.7900 24.4858i 0.715039 0.984167i −0.284635 0.958636i \(-0.591872\pi\)
0.999674 0.0255308i \(-0.00812760\pi\)
\(620\) −1.11182 0.389193i −0.0446519 0.0156304i
\(621\) −42.8951 + 15.3668i −1.72132 + 0.616650i
\(622\) −1.23140 + 3.94757i −0.0493747 + 0.158283i
\(623\) 9.74811 + 30.0016i 0.390550 + 1.20199i
\(624\) −3.92636 3.14887i −0.157180 0.126056i
\(625\) 24.5756 + 4.58703i 0.983023 + 0.183481i
\(626\) −28.4724 + 21.2035i −1.13798 + 0.847464i
\(627\) −39.7379 + 8.86056i −1.58698 + 0.353857i
\(628\) 1.68058 + 4.78544i 0.0670623 + 0.190960i
\(629\) −0.692492 0.953133i −0.0276115 0.0380039i
\(630\) −11.9450 27.9075i −0.475899 1.11186i
\(631\) 10.0743 13.8661i 0.401052 0.552001i −0.559955 0.828523i \(-0.689182\pi\)
0.961008 + 0.276522i \(0.0891817\pi\)
\(632\) −17.0545 + 6.21605i −0.678393 + 0.247261i
\(633\) 6.95723 7.88307i 0.276525 0.313324i
\(634\) 4.13818 1.39871i 0.164348 0.0555497i
\(635\) 30.1408 8.27774i 1.19610 0.328492i
\(636\) 1.52262 21.3485i 0.0603760 0.846523i
\(637\) 0.727120 2.23785i 0.0288096 0.0886667i
\(638\) −45.6524 + 15.4305i −1.80740 + 0.610900i
\(639\) 3.47583 + 27.7486i 0.137502 + 1.09772i
\(640\) 8.68724 + 23.7599i 0.343393 + 0.939192i
\(641\) −16.5445 5.37564i −0.653469 0.212325i −0.0365257 0.999333i \(-0.511629\pi\)
−0.616943 + 0.787008i \(0.711629\pi\)
\(642\) −15.3626 1.27784i −0.606312 0.0504322i
\(643\) 35.6925i 1.40758i −0.710410 0.703788i \(-0.751491\pi\)
0.710410 0.703788i \(-0.248509\pi\)
\(644\) 34.0464 + 44.6106i 1.34162 + 1.75790i
\(645\) −11.0269 20.8027i −0.434184 0.819107i
\(646\) 0.273031 0.875269i 0.0107422 0.0344370i
\(647\) −27.2237 + 19.7791i −1.07027 + 0.777598i −0.975961 0.217945i \(-0.930065\pi\)
−0.0943110 + 0.995543i \(0.530065\pi\)
\(648\) −24.4320 + 7.14690i −0.959779 + 0.280757i
\(649\) 2.16871 0.0851295
\(650\) 4.38507 2.67550i 0.171997 0.104942i
\(651\) −1.45330 0.138148i −0.0569595 0.00541446i
\(652\) −0.233192 9.89116i −0.00913251 0.387368i
\(653\) 0.448429 + 0.617209i 0.0175484 + 0.0241533i 0.817701 0.575643i \(-0.195248\pi\)
−0.800153 + 0.599796i \(0.795248\pi\)
\(654\) 2.52251 6.01408i 0.0986380 0.235169i
\(655\) −5.33011 4.26154i −0.208264 0.166512i
\(656\) 10.0396 3.79385i 0.391979 0.148125i
\(657\) 32.4761 + 6.23053i 1.26701 + 0.243076i
\(658\) 0.0943319 + 8.00354i 0.00367744 + 0.312010i
\(659\) −10.0879 + 31.0475i −0.392970 + 1.20944i 0.537561 + 0.843225i \(0.319346\pi\)
−0.930531 + 0.366213i \(0.880654\pi\)
\(660\) −14.5825 + 31.6715i −0.567622 + 1.23281i
\(661\) 3.57185 + 10.9930i 0.138929 + 0.427579i 0.996180 0.0873186i \(-0.0278298\pi\)
−0.857251 + 0.514898i \(0.827830\pi\)
\(662\) −23.1242 + 7.81598i −0.898746 + 0.303777i
\(663\) 0.143335 + 0.0621161i 0.00556667 + 0.00241239i
\(664\) 11.8834 9.29294i 0.461164 0.360636i
\(665\) −29.1831 23.3325i −1.13167 0.904797i
\(666\) 5.47446 + 39.8866i 0.212131 + 1.54557i
\(667\) −39.0175 + 53.7030i −1.51076 + 2.07939i
\(668\) 9.16937 30.6613i 0.354773 1.18632i
\(669\) −23.6011 + 26.7418i −0.912470 + 1.03390i
\(670\) 14.9709 4.30191i 0.578375 0.166197i
\(671\) −13.6822 + 9.94067i −0.528194 + 0.383755i
\(672\) 17.5074 + 26.0084i 0.675363 + 1.00330i
\(673\) 2.75025 + 8.46439i 0.106014 + 0.326278i 0.989967 0.141298i \(-0.0451274\pi\)
−0.883953 + 0.467576i \(0.845127\pi\)
\(674\) 27.8722 20.7566i 1.07360 0.799515i
\(675\) 1.62077 25.9302i 0.0623834 0.998052i
\(676\) −7.14699 + 23.8987i −0.274884 + 0.919182i
\(677\) −15.6087 + 5.07159i −0.599892 + 0.194917i −0.593192 0.805061i \(-0.702133\pi\)
−0.00669995 + 0.999978i \(0.502133\pi\)
\(678\) 33.5821 + 14.0855i 1.28971 + 0.540949i
\(679\) −10.8293 14.9052i −0.415589 0.572009i
\(680\) −0.454661 0.640180i −0.0174354 0.0245498i
\(681\) 9.30430 + 8.21154i 0.356541 + 0.314667i
\(682\) 1.00151 + 1.34484i 0.0383498 + 0.0514966i
\(683\) 10.0070 + 7.27049i 0.382906 + 0.278198i 0.762542 0.646938i \(-0.223951\pi\)
−0.379636 + 0.925136i \(0.623951\pi\)
\(684\) −22.3513 + 21.9572i −0.854624 + 0.839553i
\(685\) 17.6745 + 6.65859i 0.675306 + 0.254411i
\(686\) 9.84082 13.8860i 0.375724 0.530169i
\(687\) −6.19938 + 14.3053i −0.236521 + 0.545781i
\(688\) 15.2042 + 18.9772i 0.579655 + 0.723500i
\(689\) 4.26870 1.38699i 0.162625 0.0528399i
\(690\) 8.83670 + 47.2093i 0.336408 + 1.79723i
\(691\) 43.1146 + 14.0088i 1.64016 + 0.532919i 0.976574 0.215184i \(-0.0690350\pi\)
0.663583 + 0.748103i \(0.269035\pi\)
\(692\) −1.65021 2.16225i −0.0627316 0.0821965i
\(693\) −8.14152 + 42.4370i −0.309271 + 1.61205i
\(694\) −14.2497 + 0.167951i −0.540910 + 0.00637531i
\(695\) 27.5176 7.55731i 1.04380 0.286665i
\(696\) −23.5413 + 28.6552i −0.892330 + 1.08617i
\(697\) −0.269495 + 0.195799i −0.0102078 + 0.00741643i
\(698\) −36.8628 26.1242i −1.39528 0.988816i
\(699\) −3.02365 + 31.8085i −0.114365 + 1.20311i
\(700\) −31.0393 + 7.77594i −1.17317 + 0.293903i
\(701\) 1.35372i 0.0511291i −0.999673 0.0255646i \(-0.991862\pi\)
0.999673 0.0255646i \(-0.00813834\pi\)
\(702\) −3.31481 4.18451i −0.125110 0.157934i
\(703\) 29.1273 + 40.0903i 1.09856 + 1.51203i
\(704\) 8.68032 34.9490i 0.327152 1.31719i
\(705\) −3.01087 + 6.15322i −0.113396 + 0.231744i
\(706\) −0.480660 40.7813i −0.0180899 1.53483i
\(707\) −53.4788 −2.01128
\(708\) 1.41660 0.882456i 0.0532390 0.0331647i
\(709\) −5.19840 + 15.9990i −0.195230 + 0.600856i 0.804744 + 0.593622i \(0.202303\pi\)
−0.999974 + 0.00723397i \(0.997697\pi\)
\(710\) 29.4608 + 1.01226i 1.10564 + 0.0379893i
\(711\) −19.1038 + 2.39298i −0.716450 + 0.0897438i
\(712\) −0.985693 27.8665i −0.0369404 1.04434i
\(713\) 2.19670 + 0.713753i 0.0822672 + 0.0267302i
\(714\) −0.737133 0.635263i −0.0275865 0.0237741i
\(715\) −7.30427 0.337198i −0.273164 0.0126105i
\(716\) 4.25609 + 2.94151i 0.159058 + 0.109929i
\(717\) −16.0506 14.1655i −0.599422 0.529022i
\(718\) 10.1409 7.55199i 0.378455 0.281838i
\(719\) −13.8410 10.0561i −0.516183 0.375029i 0.298981 0.954259i \(-0.403353\pi\)
−0.815164 + 0.579230i \(0.803353\pi\)
\(720\) 3.36199 + 26.6214i 0.125294 + 0.992120i
\(721\) 2.22034 1.61317i 0.0826897 0.0600776i
\(722\) −3.48253 + 11.1641i −0.129606 + 0.415487i
\(723\) −3.81820 17.1239i −0.142000 0.636845i
\(724\) −3.89034 + 13.0088i −0.144583 + 0.483470i
\(725\) −19.3318 32.5408i −0.717965 1.20853i
\(726\) 19.3969 11.7681i 0.719888 0.436755i
\(727\) 17.7367 5.76300i 0.657817 0.213738i 0.0389592 0.999241i \(-0.487596\pi\)
0.618858 + 0.785503i \(0.287596\pi\)
\(728\) −3.67415 + 5.45245i −0.136173 + 0.202081i
\(729\) −26.9519 + 1.61037i −0.998220 + 0.0596435i
\(730\) 11.9035 32.7616i 0.440567 1.21256i
\(731\) −0.610598 0.443625i −0.0225838 0.0164081i
\(732\) −4.89226 + 12.0605i −0.180823 + 0.445770i
\(733\) −19.9770 14.5141i −0.737867 0.536092i 0.154176 0.988043i \(-0.450728\pi\)
−0.892042 + 0.451952i \(0.850728\pi\)
\(734\) −7.43573 + 2.51328i −0.274458 + 0.0927669i
\(735\) −11.0838 + 5.87519i −0.408832 + 0.216710i
\(736\) −18.0804 46.1919i −0.666454 1.70266i
\(737\) −21.0875 6.85174i −0.776768 0.252387i
\(738\) 11.2778 1.54788i 0.415141 0.0569783i
\(739\) −3.68331 + 1.19678i −0.135493 + 0.0440243i −0.375978 0.926628i \(-0.622693\pi\)
0.240486 + 0.970653i \(0.422693\pi\)
\(740\) 42.4275 + 0.957337i 1.55967 + 0.0351924i
\(741\) −6.02889 2.61270i −0.221477 0.0959798i
\(742\) −27.9571 + 0.329510i −1.02634 + 0.0120967i
\(743\) 15.3603 0.563515 0.281758 0.959486i \(-0.409083\pi\)
0.281758 + 0.959486i \(0.409083\pi\)
\(744\) 1.20140 + 0.470929i 0.0440456 + 0.0172651i
\(745\) −0.690645 + 14.9605i −0.0253033 + 0.548112i
\(746\) 5.76055 18.4669i 0.210909 0.676122i
\(747\) 14.4849 6.79751i 0.529977 0.248708i
\(748\) 0.0263434 + 1.11739i 0.000963211 + 0.0408559i
\(749\) 20.1379i 0.735823i
\(750\) −26.7178 6.01341i −0.975595 0.219579i
\(751\) 39.7874i 1.45186i 0.687767 + 0.725931i \(0.258591\pi\)
−0.687767 + 0.725931i \(0.741409\pi\)
\(752\) 1.86678 6.82430i 0.0680744 0.248857i
\(753\) 16.6787 9.85191i 0.607804 0.359024i
\(754\) −7.42434 2.31594i −0.270378 0.0843415i
\(755\) 0.933776 20.2272i 0.0339836 0.736142i
\(756\) 11.9497 + 31.0325i 0.434607 + 1.12864i
\(757\) 8.72798 0.317224 0.158612 0.987341i \(-0.449298\pi\)
0.158612 + 0.987341i \(0.449298\pi\)
\(758\) 0.0436230 + 3.70117i 0.00158446 + 0.134432i
\(759\) 27.1849 62.7302i 0.986750 2.27696i
\(760\) 19.1237 + 26.9269i 0.693690 + 0.976743i
\(761\) 5.76338 1.87263i 0.208922 0.0678829i −0.202686 0.979244i \(-0.564967\pi\)
0.411608 + 0.911361i \(0.364967\pi\)
\(762\) −33.3293 + 7.84504i −1.20739 + 0.284196i
\(763\) −8.10250 2.63266i −0.293330 0.0953088i
\(764\) −44.4645 + 1.04829i −1.60867 + 0.0379257i
\(765\) −0.318667 0.769458i −0.0115214 0.0278198i
\(766\) 9.29548 + 27.5014i 0.335859 + 0.993665i
\(767\) 0.283157 + 0.205726i 0.0102242 + 0.00742833i
\(768\) −8.55088 26.3606i −0.308553 0.951207i
\(769\) −36.9023 26.8111i −1.33073 0.966832i −0.999731 0.0232007i \(-0.992614\pi\)
−0.330999 0.943631i \(-0.607386\pi\)
\(770\) 42.8101 + 15.5544i 1.54277 + 0.560543i
\(771\) 15.1267 + 25.6085i 0.544774 + 0.922268i
\(772\) −10.2771 29.2641i −0.369883 1.05324i
\(773\) 39.1731 12.7281i 1.40896 0.457799i 0.496883 0.867818i \(-0.334478\pi\)
0.912077 + 0.410019i \(0.134478\pi\)
\(774\) 11.2315 + 23.2179i 0.403707 + 0.834549i
\(775\) −0.868995 + 0.989633i −0.0312152 + 0.0355487i
\(776\) 5.57680 + 15.3007i 0.200195 + 0.549262i
\(777\) 51.3330 11.4460i 1.84156 0.410622i
\(778\) −39.8289 12.4242i −1.42794 0.445429i
\(779\) 11.3354 8.23562i 0.406131 0.295072i
\(780\) −4.90834 + 2.75187i −0.175747 + 0.0985328i
\(781\) −33.9470 24.6639i −1.21472 0.882544i
\(782\) 0.919581 + 1.23482i 0.0328842 + 0.0441573i
\(783\) −31.1186 + 24.0596i −1.11209 + 0.859819i
\(784\) 10.1111 8.10087i 0.361112 0.289317i
\(785\) 5.66459 + 0.261503i 0.202178 + 0.00933343i
\(786\) 5.66286 + 4.88026i 0.201987 + 0.174073i
\(787\) 40.6168 + 13.1972i 1.44783 + 0.470430i 0.924330 0.381594i \(-0.124625\pi\)
0.523504 + 0.852023i \(0.324625\pi\)
\(788\) 15.5634 22.5188i 0.554423 0.802200i
\(789\) −4.10528 18.4114i −0.146152 0.655463i
\(790\) −0.696900 + 20.2826i −0.0247946 + 0.721623i
\(791\) 14.7005 45.2436i 0.522691 1.60868i
\(792\) 17.2418 34.0822i 0.612662 1.21106i
\(793\) −2.72938 −0.0969233
\(794\) 26.7285 0.315030i 0.948560 0.0111800i
\(795\) −21.4938 10.5173i −0.762306 0.373009i
\(796\) −1.64086 + 0.576248i −0.0581589 + 0.0204246i
\(797\) 1.12052 + 1.54226i 0.0396907 + 0.0546296i 0.828401 0.560135i \(-0.189251\pi\)
−0.788710 + 0.614765i \(0.789251\pi\)
\(798\) 31.0049 + 26.7201i 1.09756 + 0.945882i
\(799\) 0.219594i 0.00776868i
\(800\) 28.2686 + 0.942673i 0.999444 + 0.0333285i
\(801\) 5.57240 29.0457i 0.196891 1.02628i
\(802\) −16.6430 + 23.4842i −0.587685 + 0.829258i
\(803\) −40.1414 + 29.1644i −1.41656 + 1.02919i
\(804\) −16.5623 + 4.10502i −0.584106 + 0.144773i
\(805\) 60.5019 16.6160i 2.13241 0.585637i
\(806\) 0.00318928 + 0.270593i 0.000112338 + 0.00953123i
\(807\) 1.36616 14.3719i 0.0480912 0.505914i
\(808\) 45.4460 + 13.0093i 1.59878 + 0.457664i
\(809\) −2.80386 0.911028i −0.0985784 0.0320301i 0.259313 0.965793i \(-0.416504\pi\)
−0.357891 + 0.933763i \(0.616504\pi\)
\(810\) −2.82091 + 28.3204i −0.0991167 + 0.995076i
\(811\) 40.1270 13.0380i 1.40905 0.457828i 0.496943 0.867783i \(-0.334456\pi\)
0.912105 + 0.409956i \(0.134456\pi\)
\(812\) 39.8536 + 27.5440i 1.39859 + 0.966603i
\(813\) −6.16316 2.67088i −0.216151 0.0936720i
\(814\) −49.2870 34.9291i −1.72751 1.22426i
\(815\) −10.3515 3.89977i −0.362597 0.136603i
\(816\) 0.471877 + 0.719157i 0.0165190 + 0.0251755i
\(817\) 25.6827 + 18.6596i 0.898524 + 0.652816i
\(818\) −26.7547 + 19.9244i −0.935457 + 0.696640i
\(819\) −5.08860 + 4.76846i −0.177810 + 0.166624i
\(820\) 0.270683 11.9962i 0.00945267 0.418926i
\(821\) −17.2090 23.6862i −0.600600 0.826655i 0.395163 0.918611i \(-0.370688\pi\)
−0.995763 + 0.0919563i \(0.970688\pi\)
\(822\) −19.0795 8.00258i −0.665473 0.279122i
\(823\) −22.7966 + 7.40706i −0.794639 + 0.258194i −0.678078 0.734990i \(-0.737187\pi\)
−0.116561 + 0.993184i \(0.537187\pi\)
\(824\) −2.27925 + 0.830743i −0.0794014 + 0.0289403i
\(825\) 26.7270 + 28.3783i 0.930516 + 0.988007i
\(826\) −1.30221 1.74862i −0.0453096 0.0608423i
\(827\) 7.90030 + 24.3146i 0.274720 + 0.845503i 0.989293 + 0.145941i \(0.0466211\pi\)
−0.714573 + 0.699561i \(0.753379\pi\)
\(828\) −7.76797 52.0368i −0.269956 1.80840i
\(829\) 42.0640 30.5613i 1.46094 1.06144i 0.477829 0.878453i \(-0.341424\pi\)
0.983116 0.182985i \(-0.0585761\pi\)
\(830\) −4.65803 16.2102i −0.161682 0.562663i
\(831\) 28.6104 + 25.2502i 0.992482 + 0.875918i
\(832\) 4.44863 3.73968i 0.154229 0.129650i
\(833\) −0.236366 + 0.325329i −0.00818958 + 0.0112720i
\(834\) −30.4286 + 7.16227i −1.05366 + 0.248009i
\(835\) −27.9464 22.3438i −0.967124 0.773238i
\(836\) −1.10805 46.9992i −0.0383225 1.62550i
\(837\) 1.13080 + 0.771096i 0.0390860 + 0.0266530i
\(838\) 12.2063 + 36.1133i 0.421661 + 1.24751i
\(839\) 8.60351 + 26.4789i 0.297026 + 0.914153i 0.982533 + 0.186087i \(0.0595806\pi\)
−0.685507 + 0.728066i \(0.740419\pi\)
\(840\) 34.2926 7.25944i 1.18321 0.250475i
\(841\) −8.74666 + 26.9195i −0.301609 + 0.928257i
\(842\) −40.8911 + 0.481954i −1.40920 + 0.0166092i
\(843\) −2.12512 + 22.3560i −0.0731929 + 0.769982i
\(844\) 7.36559 + 9.65104i 0.253534 + 0.332203i
\(845\) 21.7826 + 17.4157i 0.749343 + 0.599117i
\(846\) 3.54438 6.61441i 0.121858 0.227408i
\(847\) −17.4205 23.9773i −0.598577 0.823870i
\(848\) 23.8379 + 6.52083i 0.818598 + 0.223926i
\(849\) 0.591700 6.22462i 0.0203071 0.213628i
\(850\) −0.854025 + 0.203284i −0.0292928 + 0.00697257i
\(851\) −83.2125 −2.85249
\(852\) −32.2099 2.29728i −1.10349 0.0787036i
\(853\) 38.6561 28.0853i 1.32356 0.961623i 0.323680 0.946167i \(-0.395080\pi\)
0.999881 0.0154562i \(-0.00492005\pi\)
\(854\) 16.2306 + 5.06295i 0.555399 + 0.173250i
\(855\) 13.4036 + 32.3646i 0.458394 + 1.10685i
\(856\) 4.89875 17.1131i 0.167436 0.584913i
\(857\) 29.2607i 0.999528i 0.866162 + 0.499764i \(0.166580\pi\)
−0.866162 + 0.499764i \(0.833420\pi\)
\(858\) 7.98239 + 0.663964i 0.272514 + 0.0226673i
\(859\) 11.1170 + 3.61213i 0.379307 + 0.123244i 0.492464 0.870333i \(-0.336096\pi\)
−0.113157 + 0.993577i \(0.536096\pi\)
\(860\) 26.0392 7.81581i 0.887930 0.266517i
\(861\) −3.23630 14.5142i −0.110293 0.494643i
\(862\) 6.56255 + 19.4158i 0.223521 + 0.661305i
\(863\) −11.0832 + 34.1107i −0.377278 + 1.16114i 0.564652 + 0.825329i \(0.309011\pi\)
−0.941929 + 0.335812i \(0.890989\pi\)
\(864\) −2.60581 29.2781i −0.0886516 0.996063i
\(865\) −2.93250 + 0.805369i −0.0997079 + 0.0273834i
\(866\) 0.903671 + 2.67358i 0.0307080 + 0.0908519i
\(867\) 22.0567 + 19.4662i 0.749084 + 0.661106i
\(868\) 0.482978 1.61502i 0.0163933 0.0548175i
\(869\) 16.9802 23.3712i 0.576013 0.792814i
\(870\) 19.8491 + 36.4027i 0.672946 + 1.23417i
\(871\) −2.10332 2.89497i −0.0712683 0.0980923i
\(872\) 6.24503 + 4.20824i 0.211484 + 0.142509i
\(873\) 2.14689 + 17.1392i 0.0726612 + 0.580075i
\(874\) −38.6790 51.9386i −1.30834 1.75685i
\(875\) −4.93534 + 35.4333i −0.166845 + 1.19786i
\(876\) −14.3531 + 35.3837i −0.484948 + 1.19551i
\(877\) −7.68381 23.6483i −0.259464 0.798548i −0.992917 0.118808i \(-0.962093\pi\)
0.733453 0.679740i \(-0.237907\pi\)
\(878\) 49.1273 + 15.3247i 1.65796 + 0.517184i
\(879\) −21.1350 35.7803i −0.712867 1.20684i
\(880\) −32.5960 23.6321i −1.09881 0.796637i
\(881\) 8.22927 11.3266i 0.277251 0.381604i −0.647570 0.762006i \(-0.724215\pi\)
0.924821 + 0.380403i \(0.124215\pi\)
\(882\) 12.3706 5.98418i 0.416539 0.201498i
\(883\) 18.7116 25.7543i 0.629695 0.866701i −0.368318 0.929700i \(-0.620066\pi\)
0.998014 + 0.0629986i \(0.0200664\pi\)
\(884\) −0.102557 + 0.148391i −0.00344937 + 0.00499092i
\(885\) −0.321673 1.83804i −0.0108129 0.0617849i
\(886\) −3.62344 2.56789i −0.121732 0.0862699i
\(887\) 9.59126 29.5189i 0.322043 0.991146i −0.650715 0.759322i \(-0.725531\pi\)
0.972758 0.231824i \(-0.0744693\pi\)
\(888\) −46.4068 2.76056i −1.55731 0.0926383i
\(889\) 13.8220 + 42.5398i 0.463575 + 1.42674i
\(890\) −29.3011 10.6461i −0.982174 0.356859i
\(891\) 25.8890 31.1608i 0.867314 1.04393i
\(892\) −24.9863 32.7393i −0.836604 1.09619i
\(893\) 9.23647i 0.309087i
\(894\) 1.35992 16.3495i 0.0454827 0.546807i
\(895\) 4.83144 3.18053i 0.161497 0.106313i
\(896\) −33.3913 + 13.9863i −1.11552 + 0.467250i
\(897\) 9.50003 5.61156i 0.317197 0.187365i
\(898\) 34.2420 48.3175i 1.14267 1.61238i
\(899\) 1.99396 0.0665022
\(900\) 29.0052 + 7.66133i 0.966841 + 0.255378i
\(901\) −0.767063 −0.0255546
\(902\) −9.87605 + 13.9357i −0.328837 + 0.464008i
\(903\) 29.0097 17.1357i 0.965381 0.570240i
\(904\) −23.4984 + 34.8717i −0.781544 + 1.15981i
\(905\) 11.8570 + 9.47991i 0.394138 + 0.315123i
\(906\) −1.83866 + 22.1050i −0.0610855 + 0.734390i
\(907\) 43.7143i 1.45151i −0.687954 0.725755i \(-0.741491\pi\)
0.687954 0.725755i \(-0.258509\pi\)
\(908\) −11.3910 + 8.69352i −0.378024 + 0.288504i
\(909\) 43.9115 + 24.2007i 1.45645 + 0.802687i
\(910\) 4.11398 + 6.09186i 0.136377 + 0.201943i
\(911\) 5.33085 + 16.4067i 0.176619 + 0.543577i 0.999704 0.0243413i \(-0.00774884\pi\)
−0.823085 + 0.567919i \(0.807749\pi\)
\(912\) −19.8479 30.2489i −0.657229 1.00164i
\(913\) −7.41893 + 22.8331i −0.245531 + 0.755666i
\(914\) 32.8802 + 23.3018i 1.08758 + 0.770756i
\(915\) 10.4543 + 10.1215i 0.345610 + 0.334606i
\(916\) −14.8099 10.2355i −0.489332 0.338191i
\(917\) 5.74010 7.90057i 0.189555 0.260900i
\(918\) 0.317786 + 0.855189i 0.0104885 + 0.0282255i
\(919\) −3.95449 + 5.44289i −0.130447 + 0.179545i −0.869244 0.494383i \(-0.835394\pi\)
0.738797 + 0.673928i \(0.235394\pi\)
\(920\) −55.4562 0.597535i −1.82834 0.0197001i
\(921\) 27.5071 + 46.5678i 0.906391 + 1.53446i
\(922\) 5.98820 + 1.86795i 0.197211 + 0.0615177i
\(923\) −2.09264 6.44047i −0.0688799 0.211991i
\(924\) −46.2365 18.7555i −1.52107 0.617010i
\(925\) 18.7572 43.5825i 0.616734 1.43298i
\(926\) 23.8130 + 31.9764i 0.782545 + 1.05081i
\(927\) −2.55313 + 0.319810i −0.0838558 + 0.0105039i
\(928\) −27.1670 33.1015i −0.891800 1.08661i
\(929\) 26.7703 + 36.8461i 0.878304 + 1.20888i 0.976888 + 0.213753i \(0.0685687\pi\)
−0.0985841 + 0.995129i \(0.531431\pi\)
\(930\) 0.991235 1.04828i 0.0325039 0.0343743i
\(931\) 9.94190 13.6839i 0.325833 0.448470i
\(932\) −35.3481 10.5709i −1.15786 0.346263i
\(933\) −3.79720 3.35123i −0.124315 0.109714i
\(934\) −3.29620 9.75207i −0.107855 0.319097i
\(935\) 1.16940 + 0.440552i 0.0382433 + 0.0144076i
\(936\) 5.48424 2.81436i 0.179258 0.0919901i
\(937\) 12.8208 39.4584i 0.418837 1.28905i −0.489936 0.871758i \(-0.662980\pi\)
0.908773 0.417290i \(-0.137020\pi\)
\(938\) 7.13751 + 21.1169i 0.233048 + 0.689490i
\(939\) −9.46229 42.4366i −0.308790 1.38487i
\(940\) −6.29291 4.79263i −0.205252 0.156318i
\(941\) 29.8252 + 9.69078i 0.972273 + 0.315911i 0.751733 0.659468i \(-0.229218\pi\)
0.220540 + 0.975378i \(0.429218\pi\)
\(942\) −6.19048 0.514915i −0.201697 0.0167768i
\(943\) 23.5280i 0.766177i
\(944\) 0.681239 + 1.80274i 0.0221724 + 0.0586743i
\(945\) 37.1739 + 0.605699i 1.20927 + 0.0197034i
\(946\) −36.9436 11.5241i −1.20114 0.374682i
\(947\) 5.79161 4.20785i 0.188202 0.136737i −0.489695 0.871894i \(-0.662892\pi\)
0.677897 + 0.735157i \(0.262892\pi\)
\(948\) 1.58159 22.1753i 0.0513678 0.720219i
\(949\) −8.00760 −0.259938
\(950\) 35.9216 8.55042i 1.16545 0.277412i
\(951\) −0.506268 + 5.32589i −0.0164169 + 0.172704i
\(952\) 0.885128 0.692180i 0.0286872 0.0224337i
\(953\) −16.6462 22.9115i −0.539223 0.742177i 0.449278 0.893392i \(-0.351681\pi\)
−0.988501 + 0.151215i \(0.951681\pi\)
\(954\) 23.1047 + 12.3808i 0.748044 + 0.400845i
\(955\) −17.5309 + 46.5339i −0.567288 + 1.50580i
\(956\) 19.6504 14.9970i 0.635539 0.485038i
\(957\) 5.58515 58.7552i 0.180542 1.89928i
\(958\) 18.2902 0.215573i 0.590929 0.00696486i
\(959\) −8.35203 + 25.7049i −0.269701 + 0.830055i
\(960\) −30.9076 2.17299i −0.997538 0.0701329i
\(961\) 9.55809 + 29.4168i 0.308325 + 0.948928i
\(962\) −3.12174 9.23590i −0.100649 0.297777i
\(963\) 9.11299 16.5353i 0.293662 0.532842i
\(964\) 20.2529 0.477480i 0.652303 0.0153786i
\(965\) −34.6404 1.59915i −1.11511 0.0514786i
\(966\) −66.9022 + 15.7474i −2.15254 + 0.506665i
\(967\) −11.2499 + 15.4841i −0.361772 + 0.497936i −0.950641 0.310292i \(-0.899573\pi\)
0.588869 + 0.808228i \(0.299573\pi\)
\(968\) 8.97114 + 24.6135i 0.288343 + 0.791108i
\(969\) 0.841929 + 0.743047i 0.0270467 + 0.0238701i
\(970\) 18.1968 + 0.625232i 0.584264 + 0.0200750i
\(971\) 38.0150 27.6195i 1.21996 0.886352i 0.223862 0.974621i \(-0.428133\pi\)
0.996097 + 0.0882688i \(0.0281334\pi\)
\(972\) 4.23119 30.8885i 0.135715 0.990748i
\(973\) 12.6191 + 38.8375i 0.404548 + 1.24507i
\(974\) −30.7099 41.2377i −0.984010 1.32134i
\(975\) 0.797617 + 6.24055i 0.0255442 + 0.199858i
\(976\) −12.5610 8.25071i −0.402069 0.264099i
\(977\) −9.16887 + 2.97915i −0.293338 + 0.0953113i −0.451989 0.892023i \(-0.649285\pi\)
0.158651 + 0.987335i \(0.449285\pi\)
\(978\) 11.1744 + 4.68692i 0.357317 + 0.149871i
\(979\) 26.0838 + 35.9013i 0.833642 + 1.14741i
\(980\) −4.16430 13.8738i −0.133024 0.443183i
\(981\) 5.46162 + 5.82830i 0.174376 + 0.186083i
\(982\) −8.35940 + 6.22530i −0.266759 + 0.198657i
\(983\) 14.0537 + 10.2106i 0.448243 + 0.325668i 0.788902 0.614519i \(-0.210650\pi\)
−0.340658 + 0.940187i \(0.610650\pi\)
\(984\) −0.780537 + 13.1213i −0.0248826 + 0.418293i
\(985\) −16.8280 25.5629i −0.536186 0.814502i
\(986\) 1.08441 + 0.768509i 0.0345347 + 0.0244743i
\(987\) −8.99467 3.89796i −0.286304 0.124073i
\(988\) 4.31371 6.24154i 0.137237 0.198570i
\(989\) −50.6987 + 16.4730i −1.61212 + 0.523811i
\(990\) −28.1127 32.1446i −0.893479 1.02162i
\(991\) −11.4909 3.73363i −0.365022 0.118603i 0.120763 0.992681i \(-0.461466\pi\)
−0.485784 + 0.874079i \(0.661466\pi\)
\(992\) −0.803303 + 1.25495i −0.0255049 + 0.0398447i
\(993\) 2.82903 29.7611i 0.0897765 0.944439i
\(994\) 0.497154 + 42.1807i 0.0157688 + 1.33789i
\(995\) −0.0896658 + 1.94231i −0.00284260 + 0.0615755i
\(996\) 4.44483 + 17.9333i 0.140840 + 0.568239i
\(997\) 13.8648 10.0734i 0.439103 0.319027i −0.346176 0.938170i \(-0.612520\pi\)
0.785278 + 0.619143i \(0.212520\pi\)
\(998\) 16.5877 23.4062i 0.525073 0.740909i
\(999\) −47.3293 13.8314i −1.49743 0.437605i
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 300.2.n.a.131.11 yes 224
3.2 odd 2 inner 300.2.n.a.131.46 yes 224
4.3 odd 2 inner 300.2.n.a.131.22 yes 224
12.11 even 2 inner 300.2.n.a.131.35 yes 224
25.21 even 5 inner 300.2.n.a.71.35 yes 224
75.71 odd 10 inner 300.2.n.a.71.22 yes 224
100.71 odd 10 inner 300.2.n.a.71.46 yes 224
300.71 even 10 inner 300.2.n.a.71.11 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.n.a.71.11 224 300.71 even 10 inner
300.2.n.a.71.22 yes 224 75.71 odd 10 inner
300.2.n.a.71.35 yes 224 25.21 even 5 inner
300.2.n.a.71.46 yes 224 100.71 odd 10 inner
300.2.n.a.131.11 yes 224 1.1 even 1 trivial
300.2.n.a.131.22 yes 224 4.3 odd 2 inner
300.2.n.a.131.35 yes 224 12.11 even 2 inner
300.2.n.a.131.46 yes 224 3.2 odd 2 inner