Properties

Label 276.2.m.a.79.23
Level $276$
Weight $2$
Character 276.79
Analytic conductor $2.204$
Analytic rank $0$
Dimension $240$
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] = [276,2,Mod(7,276)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(276, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 19]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("276.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 276.m (of order \(22\), degree \(10\), 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: \(2.20387109579\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 79.23
Character \(\chi\) \(=\) 276.79
Dual form 276.2.m.a.7.23

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.38169 + 0.301558i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.81813 + 0.833319i) q^{4} +(-1.98780 - 0.907796i) q^{5} +(-1.00068 + 0.999316i) q^{6} +(4.66467 + 1.36967i) q^{7} +(2.26079 + 1.69966i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(1.38169 + 0.301558i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.81813 + 0.833319i) q^{4} +(-1.98780 - 0.907796i) q^{5} +(-1.00068 + 0.999316i) q^{6} +(4.66467 + 1.36967i) q^{7} +(2.26079 + 1.69966i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-2.47276 - 1.85373i) q^{10} +(-2.33009 + 2.68907i) q^{11} +(-1.68398 + 1.07898i) q^{12} +(1.24547 - 0.365703i) q^{13} +(6.03209 + 3.29913i) q^{14} +(1.83837 - 1.18145i) q^{15} +(2.61116 + 3.03016i) q^{16} +(-3.96838 + 0.570567i) q^{17} +(-0.299667 - 1.38210i) q^{18} +(0.618827 - 4.30403i) q^{19} +(-2.85758 - 3.30695i) q^{20} +(-3.67415 + 3.18367i) q^{21} +(-4.03037 + 3.01280i) q^{22} +(4.40930 + 1.88629i) q^{23} +(-2.65212 + 0.982993i) q^{24} +(-0.147067 - 0.169724i) q^{25} +(1.83113 - 0.129706i) q^{26} +(0.989821 + 0.142315i) q^{27} +(7.33959 + 6.37739i) q^{28} +(-0.820726 - 5.70828i) q^{29} +(2.89633 - 1.07802i) q^{30} +(-3.68171 - 5.72885i) q^{31} +(2.69404 + 4.97415i) q^{32} +(-1.00245 - 3.41402i) q^{33} +(-5.65513 - 0.408351i) q^{34} +(-8.02903 - 6.95720i) q^{35} +(0.00273656 - 2.00000i) q^{36} +(-6.57344 + 3.00199i) q^{37} +(2.15294 - 5.76022i) q^{38} +(-0.365703 + 1.24547i) q^{39} +(-2.95104 - 5.43090i) q^{40} +(5.12081 - 11.2130i) q^{41} +(-6.03660 + 3.29087i) q^{42} +(-5.98696 - 3.84759i) q^{43} +(-6.47726 + 2.94736i) q^{44} +2.18527i q^{45} +(5.52345 + 3.93592i) q^{46} +1.24439i q^{47} +(-3.96083 + 0.558422i) q^{48} +(13.9944 + 8.99366i) q^{49} +(-0.152019 - 0.278855i) q^{50} +(1.66548 - 3.64689i) q^{51} +(2.56917 + 0.372979i) q^{52} +(-0.416712 + 1.41919i) q^{53} +(1.32471 + 0.495123i) q^{54} +(7.07288 - 3.23007i) q^{55} +(8.21787 + 11.0249i) q^{56} +(3.28622 + 2.84753i) q^{57} +(0.587389 - 8.13456i) q^{58} +(1.60544 + 5.46763i) q^{59} +(4.32691 - 0.616074i) q^{60} +(-5.55993 - 8.65142i) q^{61} +(-3.35939 - 9.02574i) q^{62} +(-0.691878 - 4.81212i) q^{63} +(2.22233 + 7.68513i) q^{64} +(-2.80772 - 0.403690i) q^{65} +(-0.355544 - 5.01941i) q^{66} +(7.73898 + 8.93126i) q^{67} +(-7.69048 - 2.26956i) q^{68} +(-3.97069 + 2.68953i) q^{69} +(-8.99562 - 12.0339i) q^{70} +(-3.30433 + 2.86322i) q^{71} +(0.606897 - 2.76255i) q^{72} +(-0.0910248 + 0.633092i) q^{73} +(-9.98772 + 2.16554i) q^{74} +(0.222292 - 0.0319607i) q^{75} +(4.71174 - 7.30959i) q^{76} +(-14.5523 + 9.35218i) q^{77} +(-0.880869 + 1.61057i) q^{78} +(-3.48038 + 1.02193i) q^{79} +(-2.43969 - 8.39373i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(10.4567 - 13.9487i) q^{82} +(-2.11994 - 4.64203i) q^{83} +(-9.33309 + 2.72658i) q^{84} +(8.40629 + 2.46831i) q^{85} +(-7.11184 - 7.12158i) q^{86} +(5.24583 + 2.39569i) q^{87} +(-9.83835 + 2.11906i) q^{88} +(-2.01147 + 3.12990i) q^{89} +(-0.658987 + 3.01937i) q^{90} +6.31060 q^{91} +(6.44478 + 7.10386i) q^{92} +6.80990 q^{93} +(-0.375254 + 1.71935i) q^{94} +(-5.13728 + 7.99377i) q^{95} +(-5.64103 - 0.422854i) q^{96} +(6.15382 + 2.81035i) q^{97} +(16.6238 + 16.6466i) q^{98} +(3.41402 + 1.00245i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(139\) \(185\)
\(\chi(n)\) \(e\left(\frac{3}{22}\right)\) \(-1\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.38169 + 0.301558i 0.977001 + 0.213234i
\(3\) −0.540641 + 0.841254i −0.312139 + 0.485698i
\(4\) 1.81813 + 0.833319i 0.909063 + 0.416659i
\(5\) −1.98780 0.907796i −0.888969 0.405979i −0.0820414 0.996629i \(-0.526144\pi\)
−0.806928 + 0.590650i \(0.798871\pi\)
\(6\) −1.00068 + 0.999316i −0.408527 + 0.407969i
\(7\) 4.66467 + 1.36967i 1.76308 + 0.517687i 0.992775 0.119988i \(-0.0382856\pi\)
0.770305 + 0.637675i \(0.220104\pi\)
\(8\) 2.26079 + 1.69966i 0.799310 + 0.600919i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −2.47276 1.85373i −0.781955 0.586200i
\(11\) −2.33009 + 2.68907i −0.702550 + 0.810786i −0.989095 0.147281i \(-0.952948\pi\)
0.286545 + 0.958067i \(0.407493\pi\)
\(12\) −1.68398 + 1.07898i −0.486125 + 0.311474i
\(13\) 1.24547 0.365703i 0.345431 0.101428i −0.104415 0.994534i \(-0.533297\pi\)
0.449846 + 0.893106i \(0.351479\pi\)
\(14\) 6.03209 + 3.29913i 1.61214 + 0.881729i
\(15\) 1.83837 1.18145i 0.474665 0.305049i
\(16\) 2.61116 + 3.03016i 0.652790 + 0.757539i
\(17\) −3.96838 + 0.570567i −0.962474 + 0.138383i −0.605600 0.795770i \(-0.707067\pi\)
−0.356874 + 0.934152i \(0.616158\pi\)
\(18\) −0.299667 1.38210i −0.0706322 0.325764i
\(19\) 0.618827 4.30403i 0.141969 0.987413i −0.786920 0.617055i \(-0.788326\pi\)
0.928889 0.370359i \(-0.120765\pi\)
\(20\) −2.85758 3.30695i −0.638974 0.739457i
\(21\) −3.67415 + 3.18367i −0.801766 + 0.694734i
\(22\) −4.03037 + 3.01280i −0.859279 + 0.642331i
\(23\) 4.40930 + 1.88629i 0.919402 + 0.393319i
\(24\) −2.65212 + 0.982993i −0.541361 + 0.200653i
\(25\) −0.147067 0.169724i −0.0294134 0.0339449i
\(26\) 1.83113 0.129706i 0.359115 0.0254374i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 7.33959 + 6.37739i 1.38705 + 1.20521i
\(29\) −0.820726 5.70828i −0.152405 1.06000i −0.912173 0.409806i \(-0.865596\pi\)
0.759768 0.650195i \(-0.225313\pi\)
\(30\) 2.89633 1.07802i 0.528795 0.196818i
\(31\) −3.68171 5.72885i −0.661254 1.02893i −0.996234 0.0867066i \(-0.972366\pi\)
0.334979 0.942225i \(-0.391271\pi\)
\(32\) 2.69404 + 4.97415i 0.476244 + 0.879313i
\(33\) −1.00245 3.41402i −0.174504 0.594305i
\(34\) −5.65513 0.408351i −0.969846 0.0700317i
\(35\) −8.02903 6.95720i −1.35715 1.17598i
\(36\) 0.00273656 2.00000i 0.000456094 0.333333i
\(37\) −6.57344 + 3.00199i −1.08067 + 0.493524i −0.874516 0.484996i \(-0.838821\pi\)
−0.206151 + 0.978520i \(0.566094\pi\)
\(38\) 2.15294 5.76022i 0.349253 0.934431i
\(39\) −0.365703 + 1.24547i −0.0585593 + 0.199435i
\(40\) −2.95104 5.43090i −0.466601 0.858701i
\(41\) 5.12081 11.2130i 0.799736 1.75118i 0.153341 0.988173i \(-0.450997\pi\)
0.646394 0.763003i \(-0.276276\pi\)
\(42\) −6.03660 + 3.29087i −0.931467 + 0.507793i
\(43\) −5.98696 3.84759i −0.913003 0.586751i −0.00238346 0.999997i \(-0.500759\pi\)
−0.910620 + 0.413246i \(0.864395\pi\)
\(44\) −6.47726 + 2.94736i −0.976483 + 0.444331i
\(45\) 2.18527i 0.325761i
\(46\) 5.52345 + 3.93592i 0.814388 + 0.580320i
\(47\) 1.24439i 0.181512i 0.995873 + 0.0907561i \(0.0289284\pi\)
−0.995873 + 0.0907561i \(0.971072\pi\)
\(48\) −3.96083 + 0.558422i −0.571696 + 0.0806013i
\(49\) 13.9944 + 8.99366i 1.99920 + 1.28481i
\(50\) −0.152019 0.278855i −0.0214987 0.0394361i
\(51\) 1.66548 3.64689i 0.233214 0.510666i
\(52\) 2.56917 + 0.372979i 0.356279 + 0.0517229i
\(53\) −0.416712 + 1.41919i −0.0572398 + 0.194941i −0.983149 0.182805i \(-0.941482\pi\)
0.925909 + 0.377746i \(0.123301\pi\)
\(54\) 1.32471 + 0.495123i 0.180270 + 0.0673778i
\(55\) 7.07288 3.23007i 0.953706 0.435543i
\(56\) 8.21787 + 11.0249i 1.09816 + 1.47326i
\(57\) 3.28622 + 2.84753i 0.435271 + 0.377164i
\(58\) 0.587389 8.13456i 0.0771279 1.06812i
\(59\) 1.60544 + 5.46763i 0.209011 + 0.711825i 0.995546 + 0.0942793i \(0.0300547\pi\)
−0.786535 + 0.617546i \(0.788127\pi\)
\(60\) 4.32691 0.616074i 0.558602 0.0795348i
\(61\) −5.55993 8.65142i −0.711876 1.10770i −0.989150 0.146910i \(-0.953067\pi\)
0.277274 0.960791i \(-0.410569\pi\)
\(62\) −3.35939 9.02574i −0.426643 1.14627i
\(63\) −0.691878 4.81212i −0.0871685 0.606270i
\(64\) 2.22233 + 7.68513i 0.277792 + 0.960641i
\(65\) −2.80772 0.403690i −0.348255 0.0500715i
\(66\) −0.355544 5.01941i −0.0437644 0.617847i
\(67\) 7.73898 + 8.93126i 0.945467 + 1.09113i 0.995723 + 0.0923903i \(0.0294508\pi\)
−0.0502562 + 0.998736i \(0.516004\pi\)
\(68\) −7.69048 2.26956i −0.932608 0.275225i
\(69\) −3.97069 + 2.68953i −0.478015 + 0.323782i
\(70\) −8.99562 12.0339i −1.07518 1.43833i
\(71\) −3.30433 + 2.86322i −0.392152 + 0.339802i −0.828513 0.559970i \(-0.810813\pi\)
0.436361 + 0.899772i \(0.356267\pi\)
\(72\) 0.606897 2.76255i 0.0715235 0.325570i
\(73\) −0.0910248 + 0.633092i −0.0106537 + 0.0740978i −0.994455 0.105166i \(-0.966463\pi\)
0.983801 + 0.179264i \(0.0573716\pi\)
\(74\) −9.98772 + 2.16554i −1.16105 + 0.251739i
\(75\) 0.222292 0.0319607i 0.0256680 0.00369050i
\(76\) 4.71174 7.30959i 0.540473 0.838468i
\(77\) −14.5523 + 9.35218i −1.65839 + 1.06578i
\(78\) −0.880869 + 1.61057i −0.0997388 + 0.182361i
\(79\) −3.48038 + 1.02193i −0.391573 + 0.114976i −0.471592 0.881817i \(-0.656320\pi\)
0.0800183 + 0.996793i \(0.474502\pi\)
\(80\) −2.43969 8.39373i −0.272766 0.938447i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 10.4567 13.9487i 1.15475 1.54037i
\(83\) −2.11994 4.64203i −0.232694 0.509528i 0.756880 0.653554i \(-0.226723\pi\)
−0.989574 + 0.144025i \(0.953995\pi\)
\(84\) −9.33309 + 2.72658i −1.01832 + 0.297494i
\(85\) 8.40629 + 2.46831i 0.911790 + 0.267726i
\(86\) −7.11184 7.12158i −0.766890 0.767940i
\(87\) 5.24583 + 2.39569i 0.562412 + 0.256845i
\(88\) −9.83835 + 2.11906i −1.04877 + 0.225893i
\(89\) −2.01147 + 3.12990i −0.213215 + 0.331769i −0.931344 0.364141i \(-0.881363\pi\)
0.718129 + 0.695910i \(0.244999\pi\)
\(90\) −0.658987 + 3.01937i −0.0694633 + 0.318269i
\(91\) 6.31060 0.661531
\(92\) 6.44478 + 7.10386i 0.671914 + 0.740629i
\(93\) 6.80990 0.706154
\(94\) −0.375254 + 1.71935i −0.0387045 + 0.177338i
\(95\) −5.13728 + 7.99377i −0.527074 + 0.820144i
\(96\) −5.64103 0.422854i −0.575735 0.0431574i
\(97\) 6.15382 + 2.81035i 0.624825 + 0.285348i 0.702558 0.711626i \(-0.252041\pi\)
−0.0777332 + 0.996974i \(0.524768\pi\)
\(98\) 16.6238 + 16.6466i 1.67926 + 1.68156i
\(99\) 3.41402 + 1.00245i 0.343122 + 0.100750i
\(100\) −0.125952 0.431134i −0.0125952 0.0431134i
\(101\) 1.88634 + 4.13051i 0.187698 + 0.411002i 0.979964 0.199174i \(-0.0638260\pi\)
−0.792266 + 0.610176i \(0.791099\pi\)
\(102\) 3.40092 4.53662i 0.336741 0.449193i
\(103\) −9.14322 + 10.5518i −0.900908 + 1.03970i 0.0981002 + 0.995177i \(0.468723\pi\)
−0.999008 + 0.0445267i \(0.985822\pi\)
\(104\) 3.43731 + 1.29009i 0.337056 + 0.126504i
\(105\) 10.1936 2.99311i 0.994792 0.292097i
\(106\) −1.00374 + 1.83522i −0.0974914 + 0.178252i
\(107\) 0.296668 0.190657i 0.0286800 0.0184315i −0.526222 0.850347i \(-0.676392\pi\)
0.554902 + 0.831916i \(0.312756\pi\)
\(108\) 1.68103 + 1.08358i 0.161757 + 0.104268i
\(109\) −7.81895 + 1.12419i −0.748919 + 0.107678i −0.506197 0.862418i \(-0.668949\pi\)
−0.242722 + 0.970096i \(0.578040\pi\)
\(110\) 10.7466 2.33007i 1.02464 0.222164i
\(111\) 1.02844 7.15293i 0.0976148 0.678926i
\(112\) 8.02989 + 17.7111i 0.758754 + 1.67354i
\(113\) 5.81113 5.03538i 0.546666 0.473688i −0.337198 0.941434i \(-0.609479\pi\)
0.883863 + 0.467745i \(0.154934\pi\)
\(114\) 3.68184 + 4.92538i 0.344836 + 0.461304i
\(115\) −7.05242 7.75230i −0.657641 0.722906i
\(116\) 3.26463 11.0623i 0.303113 1.02711i
\(117\) −0.850042 0.981001i −0.0785864 0.0906936i
\(118\) 0.569411 + 8.03870i 0.0524186 + 0.740022i
\(119\) −19.2927 2.77387i −1.76856 0.254280i
\(120\) 6.16422 + 0.453592i 0.562714 + 0.0414071i
\(121\) −0.236306 1.64354i −0.0214823 0.149413i
\(122\) −5.07318 13.6302i −0.459304 1.23402i
\(123\) 6.66446 + 10.3701i 0.600914 + 0.935041i
\(124\) −1.91985 13.4838i −0.172408 1.21088i
\(125\) 3.21658 + 10.9547i 0.287699 + 0.979815i
\(126\) 0.495173 6.85749i 0.0441135 0.610914i
\(127\) 7.27697 + 6.30553i 0.645727 + 0.559525i 0.914957 0.403550i \(-0.132224\pi\)
−0.269231 + 0.963076i \(0.586769\pi\)
\(128\) 0.753059 + 11.2886i 0.0665616 + 0.997782i
\(129\) 6.47359 2.95639i 0.569968 0.260296i
\(130\) −3.75766 1.40446i −0.329569 0.123180i
\(131\) 0.181354 0.617634i 0.0158450 0.0539630i −0.951191 0.308603i \(-0.900139\pi\)
0.967036 + 0.254640i \(0.0819569\pi\)
\(132\) 1.02239 7.04248i 0.0889878 0.612969i
\(133\) 8.78174 19.2293i 0.761473 1.66739i
\(134\) 7.99956 + 14.6740i 0.691057 + 1.26764i
\(135\) −1.83837 1.18145i −0.158222 0.101683i
\(136\) −9.94144 5.45496i −0.852472 0.467759i
\(137\) 13.8017i 1.17916i −0.807709 0.589581i \(-0.799293\pi\)
0.807709 0.589581i \(-0.200707\pi\)
\(138\) −6.29731 + 2.51870i −0.536063 + 0.214406i
\(139\) 9.70102i 0.822830i 0.911448 + 0.411415i \(0.134965\pi\)
−0.911448 + 0.411415i \(0.865035\pi\)
\(140\) −8.80023 19.3398i −0.743755 1.63451i
\(141\) −1.04684 0.672766i −0.0881601 0.0566571i
\(142\) −5.42899 + 2.95963i −0.455591 + 0.248367i
\(143\) −1.91866 + 4.20128i −0.160446 + 0.351329i
\(144\) 1.67161 3.63397i 0.139301 0.302831i
\(145\) −3.55051 + 12.0919i −0.294854 + 1.00418i
\(146\) −0.316682 + 0.847286i −0.0262088 + 0.0701219i
\(147\) −15.1319 + 6.91050i −1.24806 + 0.569969i
\(148\) −14.4530 0.0197757i −1.18803 0.00162555i
\(149\) −5.09395 4.41393i −0.417312 0.361603i 0.420751 0.907176i \(-0.361767\pi\)
−0.838063 + 0.545573i \(0.816312\pi\)
\(150\) 0.316776 + 0.0228741i 0.0258646 + 0.00186766i
\(151\) 2.27095 + 7.73416i 0.184808 + 0.629397i 0.998821 + 0.0485504i \(0.0154602\pi\)
−0.814013 + 0.580846i \(0.802722\pi\)
\(152\) 8.71442 8.67872i 0.706833 0.703937i
\(153\) 2.16753 + 3.37274i 0.175235 + 0.272670i
\(154\) −22.9269 + 8.53344i −1.84750 + 0.687644i
\(155\) 2.11786 + 14.7300i 0.170110 + 1.18314i
\(156\) −1.70277 + 1.95967i −0.136330 + 0.156899i
\(157\) 2.55552 + 0.367429i 0.203953 + 0.0293240i 0.243534 0.969892i \(-0.421693\pi\)
−0.0395811 + 0.999216i \(0.512602\pi\)
\(158\) −5.11697 + 0.362455i −0.407084 + 0.0288353i
\(159\) −0.968609 1.11783i −0.0768157 0.0886500i
\(160\) −0.839696 12.3332i −0.0663838 0.975027i
\(161\) 17.9843 + 14.8382i 1.41736 + 1.16942i
\(162\) −1.13272 + 0.846732i −0.0889946 + 0.0665255i
\(163\) 14.3679 12.4499i 1.12538 0.975149i 0.125525 0.992090i \(-0.459938\pi\)
0.999856 + 0.0169415i \(0.00539289\pi\)
\(164\) 18.6543 16.1194i 1.45665 1.25871i
\(165\) −1.10657 + 7.69639i −0.0861467 + 0.599163i
\(166\) −1.52926 7.05312i −0.118694 0.547428i
\(167\) 0.293616 0.0422157i 0.0227207 0.00326675i −0.130945 0.991390i \(-0.541801\pi\)
0.153666 + 0.988123i \(0.450892\pi\)
\(168\) −13.7176 + 0.952810i −1.05834 + 0.0735109i
\(169\) −9.51884 + 6.11739i −0.732218 + 0.470568i
\(170\) 10.8705 + 5.94542i 0.833732 + 0.455993i
\(171\) −4.17216 + 1.22506i −0.319053 + 0.0936824i
\(172\) −7.67878 11.9844i −0.585502 0.913805i
\(173\) 10.3357 11.9280i 0.785806 0.906869i −0.211708 0.977333i \(-0.567903\pi\)
0.997514 + 0.0704641i \(0.0224480\pi\)
\(174\) 6.52566 + 4.89202i 0.494709 + 0.370863i
\(175\) −0.453553 0.993142i −0.0342854 0.0750745i
\(176\) −14.2326 0.0389484i −1.07282 0.00293584i
\(177\) −5.46763 1.60544i −0.410972 0.120672i
\(178\) −3.72307 + 3.71798i −0.279056 + 0.278674i
\(179\) 6.91533 + 3.15812i 0.516876 + 0.236049i 0.656734 0.754122i \(-0.271937\pi\)
−0.139858 + 0.990172i \(0.544665\pi\)
\(180\) −1.82103 + 3.97310i −0.135732 + 0.296138i
\(181\) 0.959915 1.49366i 0.0713499 0.111023i −0.803745 0.594974i \(-0.797162\pi\)
0.875095 + 0.483951i \(0.160799\pi\)
\(182\) 8.71929 + 1.90301i 0.646317 + 0.141061i
\(183\) 10.2840 0.760212
\(184\) 6.76245 + 11.7588i 0.498534 + 0.866870i
\(185\) 15.7918 1.16104
\(186\) 9.40916 + 2.05358i 0.689913 + 0.150576i
\(187\) 7.71241 12.0007i 0.563987 0.877581i
\(188\) −1.03697 + 2.26245i −0.0756288 + 0.165006i
\(189\) 4.42227 + 2.01958i 0.321673 + 0.146903i
\(190\) −9.50871 + 9.49571i −0.689834 + 0.688891i
\(191\) 14.8994 + 4.37487i 1.07809 + 0.316554i 0.772112 0.635486i \(-0.219200\pi\)
0.305973 + 0.952040i \(0.401018\pi\)
\(192\) −7.66663 2.28535i −0.553291 0.164931i
\(193\) 5.71297 + 12.5096i 0.411228 + 0.900464i 0.996007 + 0.0892717i \(0.0284539\pi\)
−0.584779 + 0.811193i \(0.698819\pi\)
\(194\) 7.65517 + 5.73876i 0.549609 + 0.412019i
\(195\) 1.85757 2.14376i 0.133024 0.153518i
\(196\) 17.9490 + 28.0134i 1.28207 + 2.00096i
\(197\) 2.17278 0.637984i 0.154804 0.0454545i −0.203412 0.979093i \(-0.565203\pi\)
0.358216 + 0.933639i \(0.383385\pi\)
\(198\) 4.41482 + 2.41460i 0.313747 + 0.171598i
\(199\) −21.9401 + 14.1000i −1.55529 + 0.999524i −0.571416 + 0.820660i \(0.693606\pi\)
−0.983874 + 0.178864i \(0.942758\pi\)
\(200\) −0.0440143 0.633674i −0.00311228 0.0448075i
\(201\) −11.6975 + 1.68184i −0.825075 + 0.118628i
\(202\) 1.36075 + 6.27593i 0.0957419 + 0.441573i
\(203\) 3.99004 27.7514i 0.280046 1.94776i
\(204\) 6.06707 5.24263i 0.424780 0.367057i
\(205\) −20.3582 + 17.6405i −1.42188 + 1.23207i
\(206\) −15.8151 + 11.8221i −1.10189 + 0.823687i
\(207\) −0.115859 4.79443i −0.00805276 0.333236i
\(208\) 4.36026 + 2.81906i 0.302330 + 0.195467i
\(209\) 10.1319 + 11.6929i 0.700840 + 0.808813i
\(210\) 14.9870 1.06158i 1.03420 0.0732562i
\(211\) 1.04451 + 0.150178i 0.0719073 + 0.0103387i 0.178175 0.983999i \(-0.442981\pi\)
−0.106267 + 0.994338i \(0.533890\pi\)
\(212\) −1.94027 + 2.23302i −0.133259 + 0.153364i
\(213\) −0.622238 4.32776i −0.0426350 0.296533i
\(214\) 0.467397 0.173966i 0.0319506 0.0118921i
\(215\) 8.40803 + 13.0832i 0.573423 + 0.892263i
\(216\) 1.99589 + 2.00410i 0.135803 + 0.136362i
\(217\) −9.32732 31.7659i −0.633180 2.15641i
\(218\) −11.1424 0.804579i −0.754656 0.0544930i
\(219\) −0.483379 0.418850i −0.0326637 0.0283033i
\(220\) 15.5511 + 0.0212782i 1.04845 + 0.00143458i
\(221\) −4.73384 + 2.16187i −0.318433 + 0.145423i
\(222\) 3.57800 9.57298i 0.240140 0.642497i
\(223\) 3.52775 12.0144i 0.236236 0.804545i −0.752976 0.658049i \(-0.771382\pi\)
0.989211 0.146496i \(-0.0467997\pi\)
\(224\) 5.75388 + 26.8927i 0.384447 + 1.79685i
\(225\) −0.0932929 + 0.204283i −0.00621952 + 0.0136189i
\(226\) 9.54763 5.20493i 0.635099 0.346227i
\(227\) −3.84031 2.46802i −0.254890 0.163808i 0.406956 0.913448i \(-0.366590\pi\)
−0.661846 + 0.749640i \(0.730227\pi\)
\(228\) 3.60187 + 7.91563i 0.238539 + 0.524225i
\(229\) 14.2639i 0.942586i 0.881977 + 0.471293i \(0.156213\pi\)
−0.881977 + 0.471293i \(0.843787\pi\)
\(230\) −7.40647 12.8380i −0.488368 0.846511i
\(231\) 17.2983i 1.13815i
\(232\) 7.84662 14.3002i 0.515156 0.938852i
\(233\) −24.5271 15.7626i −1.60682 1.03264i −0.963738 0.266849i \(-0.914018\pi\)
−0.643086 0.765794i \(-0.722346\pi\)
\(234\) −0.878664 1.61177i −0.0574401 0.105365i
\(235\) 1.12965 2.47358i 0.0736901 0.161359i
\(236\) −1.63738 + 11.2787i −0.106585 + 0.734180i
\(237\) 1.02193 3.48038i 0.0663816 0.226075i
\(238\) −25.8200 9.65049i −1.67366 0.625548i
\(239\) 4.11030 1.87711i 0.265873 0.121420i −0.278018 0.960576i \(-0.589678\pi\)
0.543892 + 0.839155i \(0.316950\pi\)
\(240\) 8.38025 + 2.48559i 0.540943 + 0.160444i
\(241\) −14.8207 12.8422i −0.954687 0.827241i 0.0303581 0.999539i \(-0.490335\pi\)
−0.985045 + 0.172298i \(0.944881\pi\)
\(242\) 0.169122 2.34212i 0.0108716 0.150557i
\(243\) −0.281733 0.959493i −0.0180732 0.0615515i
\(244\) −2.89926 20.3626i −0.185606 1.30358i
\(245\) −19.6536 30.5816i −1.25562 1.95379i
\(246\) 6.08102 + 16.3380i 0.387712 + 1.04167i
\(247\) −0.803268 5.58685i −0.0511107 0.355483i
\(248\) 1.41351 19.2094i 0.0897582 1.21980i
\(249\) 5.05125 + 0.726260i 0.320110 + 0.0460248i
\(250\) 1.14084 + 16.1059i 0.0721532 + 1.01863i
\(251\) −3.88343 4.48172i −0.245120 0.282884i 0.619836 0.784732i \(-0.287199\pi\)
−0.864956 + 0.501848i \(0.832654\pi\)
\(252\) 2.75211 9.32559i 0.173366 0.587457i
\(253\) −15.3464 + 7.46169i −0.964823 + 0.469112i
\(254\) 8.15302 + 10.9067i 0.511566 + 0.684348i
\(255\) −6.62126 + 5.73735i −0.414639 + 0.359287i
\(256\) −2.36368 + 15.8244i −0.147730 + 0.989028i
\(257\) 0.416025 2.89352i 0.0259509 0.180493i −0.972723 0.231968i \(-0.925483\pi\)
0.998674 + 0.0514758i \(0.0163925\pi\)
\(258\) 9.83601 2.13265i 0.612363 0.132773i
\(259\) −34.7747 + 4.99985i −2.16079 + 0.310675i
\(260\) −4.76839 3.07369i −0.295723 0.190622i
\(261\) −4.85149 + 3.11786i −0.300300 + 0.192991i
\(262\) 0.436827 0.798690i 0.0269873 0.0493432i
\(263\) −0.307580 + 0.0903137i −0.0189662 + 0.00556898i −0.291202 0.956662i \(-0.594055\pi\)
0.272236 + 0.962231i \(0.412237\pi\)
\(264\) 3.53634 9.42220i 0.217647 0.579896i
\(265\) 2.11668 2.44277i 0.130026 0.150058i
\(266\) 17.9324 23.9207i 1.09950 1.46667i
\(267\) −1.54556 3.38431i −0.0945868 0.207116i
\(268\) 6.62785 + 22.6872i 0.404860 + 1.38584i
\(269\) 9.18479 + 2.69690i 0.560007 + 0.164433i 0.549473 0.835512i \(-0.314829\pi\)
0.0105341 + 0.999945i \(0.496647\pi\)
\(270\) −2.18378 2.18677i −0.132901 0.133082i
\(271\) −22.9216 10.4680i −1.39239 0.635884i −0.428833 0.903384i \(-0.641075\pi\)
−0.963558 + 0.267500i \(0.913802\pi\)
\(272\) −12.0910 10.5350i −0.733124 0.638776i
\(273\) −3.41177 + 5.30882i −0.206490 + 0.321304i
\(274\) 4.16202 19.0697i 0.251437 1.15204i
\(275\) 0.799081 0.0481864
\(276\) −9.46046 + 1.58105i −0.569453 + 0.0951683i
\(277\) 4.67285 0.280764 0.140382 0.990097i \(-0.455167\pi\)
0.140382 + 0.990097i \(0.455167\pi\)
\(278\) −2.92542 + 13.4038i −0.175455 + 0.803906i
\(279\) −3.68171 + 5.72885i −0.220418 + 0.342977i
\(280\) −6.32710 29.3754i −0.378117 1.75551i
\(281\) 29.2208 + 13.3447i 1.74317 + 0.796077i 0.990473 + 0.137705i \(0.0439725\pi\)
0.752692 + 0.658372i \(0.228755\pi\)
\(282\) −1.24353 1.24524i −0.0740514 0.0741528i
\(283\) 11.8074 + 3.46696i 0.701876 + 0.206089i 0.613150 0.789967i \(-0.289902\pi\)
0.0887262 + 0.996056i \(0.471720\pi\)
\(284\) −8.39367 + 2.45213i −0.498073 + 0.145507i
\(285\) −3.94736 8.64352i −0.233822 0.511998i
\(286\) −3.91792 + 5.22627i −0.231671 + 0.309036i
\(287\) 39.2450 45.2912i 2.31656 2.67345i
\(288\) 3.40550 4.51692i 0.200671 0.266162i
\(289\) −0.888873 + 0.260997i −0.0522867 + 0.0153527i
\(290\) −8.55212 + 15.6366i −0.502198 + 0.918213i
\(291\) −5.69122 + 3.65753i −0.333625 + 0.214408i
\(292\) −0.693061 + 1.07519i −0.0405584 + 0.0629206i
\(293\) −28.8338 + 4.14568i −1.68449 + 0.242193i −0.917005 0.398875i \(-0.869401\pi\)
−0.767484 + 0.641068i \(0.778492\pi\)
\(294\) −22.9915 + 4.98502i −1.34089 + 0.290732i
\(295\) 1.77220 12.3259i 0.103182 0.717644i
\(296\) −19.9635 4.38573i −1.16036 0.254915i
\(297\) −2.68907 + 2.33009i −0.156036 + 0.135206i
\(298\) −5.70719 7.63479i −0.330609 0.442272i
\(299\) 6.18147 + 0.736824i 0.357484 + 0.0426116i
\(300\) 0.430788 + 0.127131i 0.0248715 + 0.00733992i
\(301\) −22.6573 26.1479i −1.30594 1.50714i
\(302\) 0.805453 + 11.3710i 0.0463486 + 0.654329i
\(303\) −4.49464 0.646232i −0.258211 0.0371251i
\(304\) 14.6577 9.36338i 0.840679 0.537027i
\(305\) 3.19828 + 22.2445i 0.183133 + 1.27372i
\(306\) 1.97777 + 5.31372i 0.113062 + 0.303765i
\(307\) 2.22455 + 3.46146i 0.126962 + 0.197556i 0.898915 0.438123i \(-0.144357\pi\)
−0.771953 + 0.635679i \(0.780720\pi\)
\(308\) −34.2512 + 4.87675i −1.95164 + 0.277879i
\(309\) −3.93357 13.3965i −0.223773 0.762101i
\(310\) −1.51574 + 20.9910i −0.0860881 + 1.19221i
\(311\) −12.1082 10.4918i −0.686594 0.594937i 0.240102 0.970748i \(-0.422819\pi\)
−0.926697 + 0.375810i \(0.877364\pi\)
\(312\) −2.94365 + 2.19417i −0.166651 + 0.124221i
\(313\) 22.9230 10.4686i 1.29568 0.591719i 0.356231 0.934398i \(-0.384062\pi\)
0.939453 + 0.342679i \(0.111334\pi\)
\(314\) 3.42013 + 1.27831i 0.193009 + 0.0721392i
\(315\) −2.99311 + 10.1936i −0.168643 + 0.574344i
\(316\) −7.17936 1.04226i −0.403871 0.0586320i
\(317\) −10.2526 + 22.4501i −0.575845 + 1.26093i 0.367781 + 0.929912i \(0.380118\pi\)
−0.943626 + 0.331013i \(0.892610\pi\)
\(318\) −1.00122 1.83659i −0.0561458 0.102991i
\(319\) 17.2623 + 11.0938i 0.966505 + 0.621135i
\(320\) 2.55899 17.2939i 0.143052 0.966758i
\(321\) 0.352650i 0.0196830i
\(322\) 20.3742 + 25.9251i 1.13541 + 1.44475i
\(323\) 17.4331i 0.970005i
\(324\) −1.82040 + 0.828340i −0.101133 + 0.0460189i
\(325\) −0.245236 0.157604i −0.0136033 0.00874228i
\(326\) 23.6063 12.8691i 1.30743 0.712752i
\(327\) 3.28151 7.18550i 0.181468 0.397359i
\(328\) 30.6353 16.6466i 1.69155 0.919156i
\(329\) −1.70440 + 5.80465i −0.0939666 + 0.320021i
\(330\) −3.84985 + 10.3003i −0.211927 + 0.567014i
\(331\) 14.8069 6.76210i 0.813863 0.371679i 0.0354032 0.999373i \(-0.488728\pi\)
0.778460 + 0.627694i \(0.216001\pi\)
\(332\) 0.0139652 10.2064i 0.000766440 0.560147i
\(333\) 5.46141 + 4.73234i 0.299283 + 0.259331i
\(334\) 0.418417 + 0.0302135i 0.0228947 + 0.00165321i
\(335\) −7.27575 24.7789i −0.397517 1.35382i
\(336\) −19.2408 2.82018i −1.04967 0.153853i
\(337\) −5.29794 8.24376i −0.288597 0.449066i 0.666437 0.745561i \(-0.267819\pi\)
−0.955034 + 0.296495i \(0.904182\pi\)
\(338\) −14.9968 + 5.58184i −0.815719 + 0.303612i
\(339\) 1.09429 + 7.61097i 0.0594338 + 0.413371i
\(340\) 13.2268 + 11.4928i 0.717324 + 0.623285i
\(341\) 23.9840 + 3.44838i 1.29881 + 0.186740i
\(342\) −6.13405 + 0.434498i −0.331691 + 0.0234950i
\(343\) 30.6752 + 35.4011i 1.65631 + 1.91148i
\(344\) −6.99568 18.8744i −0.377182 1.01764i
\(345\) 10.3345 1.74166i 0.556389 0.0937678i
\(346\) 17.8777 13.3640i 0.961109 0.718452i
\(347\) −21.6036 + 18.7196i −1.15974 + 1.00492i −0.159901 + 0.987133i \(0.551118\pi\)
−0.999842 + 0.0177902i \(0.994337\pi\)
\(348\) 7.54120 + 8.72711i 0.404251 + 0.467822i
\(349\) 2.02738 14.1007i 0.108523 0.754794i −0.860789 0.508961i \(-0.830030\pi\)
0.969312 0.245832i \(-0.0790613\pi\)
\(350\) −0.327179 1.50899i −0.0174884 0.0806587i
\(351\) 1.28484 0.184732i 0.0685796 0.00986025i
\(352\) −19.6532 4.34576i −1.04752 0.231630i
\(353\) −17.6425 + 11.3382i −0.939017 + 0.603470i −0.918116 0.396312i \(-0.870290\pi\)
−0.0209014 + 0.999782i \(0.506654\pi\)
\(354\) −7.07043 3.86703i −0.375789 0.205530i
\(355\) 9.16756 2.69184i 0.486564 0.142868i
\(356\) −6.26531 + 4.01437i −0.332061 + 0.212761i
\(357\) 12.7639 14.7304i 0.675540 0.779614i
\(358\) 8.60247 + 6.44892i 0.454655 + 0.340836i
\(359\) −0.557281 1.22028i −0.0294122 0.0644037i 0.894356 0.447356i \(-0.147634\pi\)
−0.923768 + 0.382953i \(0.874907\pi\)
\(360\) −3.71422 + 4.94044i −0.195756 + 0.260384i
\(361\) 0.0886028 + 0.0260161i 0.00466331 + 0.00136927i
\(362\) 1.77673 1.77430i 0.0933827 0.0932550i
\(363\) 1.51039 + 0.689772i 0.0792750 + 0.0362037i
\(364\) 11.4735 + 5.25874i 0.601373 + 0.275633i
\(365\) 0.755656 1.17582i 0.0395529 0.0615455i
\(366\) 14.2092 + 3.10121i 0.742728 + 0.162103i
\(367\) −22.6640 −1.18305 −0.591527 0.806285i \(-0.701475\pi\)
−0.591527 + 0.806285i \(0.701475\pi\)
\(368\) 5.79763 + 18.2863i 0.302223 + 0.953237i
\(369\) −12.3270 −0.641716
\(370\) 21.8194 + 4.76216i 1.13434 + 0.247573i
\(371\) −3.88765 + 6.04931i −0.201837 + 0.314064i
\(372\) 12.3812 + 5.67481i 0.641938 + 0.294225i
\(373\) −6.32217 2.88724i −0.327349 0.149495i 0.244960 0.969533i \(-0.421225\pi\)
−0.572309 + 0.820038i \(0.693952\pi\)
\(374\) 14.2751 14.2555i 0.738146 0.737136i
\(375\) −10.9547 3.21658i −0.565696 0.166103i
\(376\) −2.11503 + 2.81329i −0.109074 + 0.145085i
\(377\) −3.10972 6.80934i −0.160159 0.350699i
\(378\) 5.50118 + 4.12400i 0.282950 + 0.212116i
\(379\) −3.16948 + 3.65777i −0.162805 + 0.187887i −0.831291 0.555838i \(-0.812397\pi\)
0.668485 + 0.743725i \(0.266943\pi\)
\(380\) −16.0016 + 10.2527i −0.820864 + 0.525952i
\(381\) −9.23878 + 2.71275i −0.473317 + 0.138978i
\(382\) 19.2671 + 10.5377i 0.985790 + 0.539158i
\(383\) 20.5546 13.2096i 1.05029 0.674980i 0.102779 0.994704i \(-0.467226\pi\)
0.947511 + 0.319724i \(0.103590\pi\)
\(384\) −9.90372 5.46957i −0.505397 0.279118i
\(385\) 37.4168 5.37972i 1.90694 0.274176i
\(386\) 4.12115 + 19.0072i 0.209761 + 0.967442i
\(387\) −1.01281 + 7.04428i −0.0514842 + 0.358081i
\(388\) 8.84649 + 10.2377i 0.449112 + 0.519739i
\(389\) −14.6589 + 12.7020i −0.743234 + 0.644016i −0.941839 0.336064i \(-0.890904\pi\)
0.198605 + 0.980080i \(0.436359\pi\)
\(390\) 3.21306 2.40184i 0.162699 0.121622i
\(391\) −18.5740 4.96972i −0.939329 0.251329i
\(392\) 16.3523 + 44.1184i 0.825914 + 2.22832i
\(393\) 0.421540 + 0.486483i 0.0212639 + 0.0245398i
\(394\) 3.19449 0.226278i 0.160936 0.0113997i
\(395\) 7.84599 + 1.12808i 0.394774 + 0.0567600i
\(396\) 5.37176 + 4.66754i 0.269941 + 0.234553i
\(397\) 4.59381 + 31.9507i 0.230557 + 1.60356i 0.695706 + 0.718326i \(0.255091\pi\)
−0.465149 + 0.885232i \(0.653999\pi\)
\(398\) −34.5663 + 12.8656i −1.73265 + 0.644896i
\(399\) 11.4290 + 17.7838i 0.572164 + 0.890305i
\(400\) 0.130276 0.888813i 0.00651378 0.0444407i
\(401\) −6.91549 23.5520i −0.345343 1.17613i −0.930831 0.365450i \(-0.880915\pi\)
0.585488 0.810681i \(-0.300903\pi\)
\(402\) −16.6694 1.20368i −0.831395 0.0600343i
\(403\) −6.68052 5.78870i −0.332780 0.288356i
\(404\) −0.0124264 + 9.08172i −0.000618234 + 0.451832i
\(405\) 1.98780 0.907796i 0.0987743 0.0451087i
\(406\) 13.8816 37.1405i 0.688935 1.84325i
\(407\) 7.24417 24.6714i 0.359080 1.22291i
\(408\) 9.96375 5.41410i 0.493279 0.268038i
\(409\) −2.09372 + 4.58462i −0.103528 + 0.226695i −0.954306 0.298830i \(-0.903404\pi\)
0.850778 + 0.525525i \(0.176131\pi\)
\(410\) −33.4484 + 18.2345i −1.65190 + 0.900537i
\(411\) 11.6108 + 7.46178i 0.572716 + 0.368062i
\(412\) −25.4166 + 11.5653i −1.25218 + 0.569784i
\(413\) 27.7036i 1.36321i
\(414\) 1.28572 6.65935i 0.0631896 0.327289i
\(415\) 11.1519i 0.547424i
\(416\) 5.17441 + 5.20993i 0.253696 + 0.255438i
\(417\) −8.16102 5.24477i −0.399647 0.256837i
\(418\) 10.4731 + 19.2113i 0.512256 + 0.939654i
\(419\) −8.49411 + 18.5995i −0.414965 + 0.908646i 0.580567 + 0.814213i \(0.302831\pi\)
−0.995531 + 0.0944329i \(0.969896\pi\)
\(420\) 21.0274 + 3.05266i 1.02603 + 0.148955i
\(421\) 2.90149 9.88156i 0.141410 0.481598i −0.858081 0.513515i \(-0.828343\pi\)
0.999491 + 0.0319171i \(0.0101613\pi\)
\(422\) 1.39791 + 0.522481i 0.0680490 + 0.0254340i
\(423\) 1.13193 0.516936i 0.0550365 0.0251343i
\(424\) −3.35424 + 2.50023i −0.162896 + 0.121422i
\(425\) 0.680457 + 0.589619i 0.0330070 + 0.0286007i
\(426\) 0.445332 6.16725i 0.0215764 0.298804i
\(427\) −14.0856 47.9713i −0.681652 2.32149i
\(428\) 0.698257 0.0994193i 0.0337515 0.00480561i
\(429\) −2.49704 3.88546i −0.120558 0.187592i
\(430\) 7.67195 + 20.6123i 0.369974 + 0.994016i
\(431\) 2.16681 + 15.0705i 0.104371 + 0.725919i 0.973059 + 0.230558i \(0.0740551\pi\)
−0.868687 + 0.495361i \(0.835036\pi\)
\(432\) 2.15335 + 3.37092i 0.103603 + 0.162183i
\(433\) 24.8694 + 3.57568i 1.19515 + 0.171836i 0.711027 0.703165i \(-0.248231\pi\)
0.484121 + 0.875001i \(0.339140\pi\)
\(434\) −3.30818 46.7034i −0.158798 2.24183i
\(435\) −8.25283 9.52428i −0.395693 0.456654i
\(436\) −15.1526 4.47174i −0.725680 0.214158i
\(437\) 10.8472 17.8105i 0.518894 0.851991i
\(438\) −0.541571 0.724487i −0.0258773 0.0346173i
\(439\) −6.22747 + 5.39613i −0.297221 + 0.257543i −0.790685 0.612223i \(-0.790276\pi\)
0.493465 + 0.869766i \(0.335730\pi\)
\(440\) 21.4803 + 4.71895i 1.02403 + 0.224967i
\(441\) 2.36743 16.4659i 0.112735 0.784088i
\(442\) −7.19262 + 1.55951i −0.342118 + 0.0741782i
\(443\) 28.2064 4.05547i 1.34013 0.192681i 0.565317 0.824874i \(-0.308754\pi\)
0.774811 + 0.632193i \(0.217845\pi\)
\(444\) 7.83049 12.1479i 0.371619 0.576514i
\(445\) 6.83970 4.39561i 0.324233 0.208372i
\(446\) 8.49730 15.5364i 0.402359 0.735668i
\(447\) 6.46723 1.89895i 0.305889 0.0898172i
\(448\) −0.159649 + 38.8925i −0.00754268 + 1.83750i
\(449\) −7.90101 + 9.11825i −0.372872 + 0.430317i −0.910911 0.412603i \(-0.864620\pi\)
0.538039 + 0.842920i \(0.319165\pi\)
\(450\) −0.190505 + 0.254122i −0.00898048 + 0.0119794i
\(451\) 18.2206 + 39.8976i 0.857975 + 1.87870i
\(452\) 14.7614 4.31242i 0.694320 0.202839i
\(453\) −7.73416 2.27095i −0.363382 0.106699i
\(454\) −4.56186 4.56811i −0.214099 0.214392i
\(455\) −12.5442 5.72874i −0.588081 0.268567i
\(456\) 2.58963 + 12.0231i 0.121271 + 0.563033i
\(457\) 15.4191 23.9926i 0.721275 1.12233i −0.266104 0.963944i \(-0.585736\pi\)
0.987378 0.158381i \(-0.0506273\pi\)
\(458\) −4.30140 + 19.7083i −0.200991 + 0.920908i
\(459\) −4.00919 −0.187133
\(460\) −6.36204 19.9716i −0.296632 0.931179i
\(461\) −1.15061 −0.0535891 −0.0267945 0.999641i \(-0.508530\pi\)
−0.0267945 + 0.999641i \(0.508530\pi\)
\(462\) 5.21645 23.9009i 0.242691 1.11197i
\(463\) −22.4042 + 34.8616i −1.04121 + 1.62016i −0.293711 + 0.955894i \(0.594890\pi\)
−0.747500 + 0.664262i \(0.768746\pi\)
\(464\) 15.1539 17.3922i 0.703503 0.807410i
\(465\) −13.5367 6.18200i −0.627749 0.286683i
\(466\) −29.1355 29.1754i −1.34967 1.35152i
\(467\) 30.4924 + 8.95338i 1.41102 + 0.414313i 0.896454 0.443137i \(-0.146135\pi\)
0.514567 + 0.857450i \(0.327953\pi\)
\(468\) −0.727997 2.49194i −0.0336517 0.115190i
\(469\) 23.8669 + 52.2613i 1.10207 + 2.41320i
\(470\) 2.30675 3.07707i 0.106402 0.141935i
\(471\) −1.69072 + 1.95119i −0.0779043 + 0.0899063i
\(472\) −5.66353 + 15.0899i −0.260685 + 0.694567i
\(473\) 24.2966 7.13413i 1.11716 0.328028i
\(474\) 2.46153 4.50063i 0.113062 0.206721i
\(475\) −0.821508 + 0.527951i −0.0376934 + 0.0242241i
\(476\) −32.7650 21.1202i −1.50178 0.968043i
\(477\) 1.46405 0.210499i 0.0670343 0.00963808i
\(478\) 6.24522 1.35409i 0.285650 0.0619346i
\(479\) −3.61765 + 25.1613i −0.165294 + 1.14965i 0.723159 + 0.690682i \(0.242689\pi\)
−0.888454 + 0.458967i \(0.848220\pi\)
\(480\) 10.8293 + 5.96145i 0.494290 + 0.272102i
\(481\) −7.08918 + 6.14281i −0.323239 + 0.280088i
\(482\) −16.6049 22.2133i −0.756334 1.01179i
\(483\) −22.2058 + 7.10724i −1.01040 + 0.323391i
\(484\) 0.939960 3.18508i 0.0427255 0.144776i
\(485\) −9.68130 11.1728i −0.439605 0.507331i
\(486\) −0.0999238 1.41068i −0.00453263 0.0639897i
\(487\) 13.1047 + 1.88417i 0.593829 + 0.0853797i 0.432676 0.901550i \(-0.357570\pi\)
0.161153 + 0.986929i \(0.448479\pi\)
\(488\) 2.13462 29.0090i 0.0966296 1.31318i
\(489\) 2.70561 + 18.8180i 0.122352 + 0.850978i
\(490\) −17.9330 48.1809i −0.810131 2.17659i
\(491\) 11.8790 + 18.4841i 0.536091 + 0.834174i 0.998625 0.0524278i \(-0.0166960\pi\)
−0.462534 + 0.886602i \(0.653060\pi\)
\(492\) 3.47523 + 24.4078i 0.156675 + 1.10039i
\(493\) 6.51391 + 22.1843i 0.293372 + 0.999132i
\(494\) 0.574894 7.96152i 0.0258657 0.358206i
\(495\) −5.87636 5.09189i −0.264123 0.228864i
\(496\) 7.74577 26.1151i 0.347796 1.17260i
\(497\) −19.3353 + 8.83014i −0.867307 + 0.396086i
\(498\) 6.76024 + 2.52671i 0.302934 + 0.113225i
\(499\) 10.1200 34.4654i 0.453031 1.54288i −0.344014 0.938964i \(-0.611787\pi\)
0.797046 0.603919i \(-0.206395\pi\)
\(500\) −3.28058 + 22.5974i −0.146712 + 1.01059i
\(501\) −0.123227 + 0.269829i −0.00550537 + 0.0120551i
\(502\) −4.01420 7.36342i −0.179162 0.328646i
\(503\) −10.2743 6.60288i −0.458107 0.294408i 0.291161 0.956674i \(-0.405958\pi\)
−0.749269 + 0.662266i \(0.769595\pi\)
\(504\) 6.61476 12.0551i 0.294645 0.536979i
\(505\) 9.92303i 0.441569i
\(506\) −23.4541 + 5.68188i −1.04266 + 0.252590i
\(507\) 11.3151i 0.502520i
\(508\) 7.97593 + 17.5283i 0.353875 + 0.777692i
\(509\) 15.9988 + 10.2818i 0.709133 + 0.455732i 0.844841 0.535017i \(-0.179695\pi\)
−0.135708 + 0.990749i \(0.543331\pi\)
\(510\) −10.8787 + 5.93054i −0.481715 + 0.262609i
\(511\) −1.29173 + 2.82849i −0.0571427 + 0.125125i
\(512\) −8.03786 + 21.1517i −0.355227 + 0.934780i
\(513\) 1.22506 4.17216i 0.0540875 0.184205i
\(514\) 1.44738 3.87248i 0.0638412 0.170808i
\(515\) 27.7538 12.6747i 1.22298 0.558515i
\(516\) 14.2334 + 0.0194753i 0.626591 + 0.000857354i
\(517\) −3.34624 2.89954i −0.147168 0.127521i
\(518\) −49.5555 3.57836i −2.17734 0.157224i
\(519\) 4.44659 + 15.1437i 0.195183 + 0.664734i
\(520\) −5.66153 5.68482i −0.248275 0.249296i
\(521\) 2.91162 + 4.53057i 0.127560 + 0.198488i 0.899159 0.437622i \(-0.144179\pi\)
−0.771599 + 0.636109i \(0.780543\pi\)
\(522\) −7.64346 + 2.84491i −0.334545 + 0.124518i
\(523\) −1.59811 11.1151i −0.0698804 0.486029i −0.994466 0.105056i \(-0.966498\pi\)
0.924586 0.380974i \(-0.124411\pi\)
\(524\) 0.844410 0.971811i 0.0368882 0.0424538i
\(525\) 1.08069 + 0.155380i 0.0471653 + 0.00678135i
\(526\) −0.452215 + 0.0320321i −0.0197175 + 0.00139667i
\(527\) 17.8791 + 20.6336i 0.778827 + 0.898814i
\(528\) 7.72746 11.9521i 0.336295 0.520150i
\(529\) 15.8838 + 16.6344i 0.690601 + 0.723236i
\(530\) 3.66122 2.73685i 0.159033 0.118881i
\(531\) 4.30661 3.73170i 0.186891 0.161942i
\(532\) 31.9905 27.6433i 1.38696 1.19849i
\(533\) 2.27718 15.8382i 0.0986357 0.686026i
\(534\) −1.11492 5.14214i −0.0482473 0.222522i
\(535\) −0.762792 + 0.109673i −0.0329784 + 0.00474158i
\(536\) 2.31612 + 33.3453i 0.100041 + 1.44030i
\(537\) −6.39549 + 4.11013i −0.275986 + 0.177365i
\(538\) 11.8773 + 6.49602i 0.512065 + 0.280063i
\(539\) −56.7928 + 16.6759i −2.44624 + 0.718281i
\(540\) −2.35786 3.67997i −0.101466 0.158361i
\(541\) 15.3887 17.7595i 0.661611 0.763540i −0.321428 0.946934i \(-0.604163\pi\)
0.983040 + 0.183394i \(0.0587083\pi\)
\(542\) −28.5139 21.3757i −1.22478 0.918164i
\(543\) 0.737575 + 1.61506i 0.0316524 + 0.0693090i
\(544\) −13.5291 18.2022i −0.580054 0.780412i
\(545\) 16.5630 + 4.86334i 0.709481 + 0.208322i
\(546\) −6.31492 + 6.30628i −0.270254 + 0.269884i
\(547\) −32.2879 14.7454i −1.38053 0.630468i −0.419716 0.907655i \(-0.637870\pi\)
−0.960816 + 0.277187i \(0.910598\pi\)
\(548\) 11.5012 25.0933i 0.491309 1.07193i
\(549\) −5.55993 + 8.65142i −0.237292 + 0.369234i
\(550\) 1.10408 + 0.240969i 0.0470782 + 0.0102750i
\(551\) −25.0765 −1.06829
\(552\) −13.5482 0.668353i −0.576649 0.0284470i
\(553\) −17.6345 −0.749897
\(554\) 6.45642 + 1.40913i 0.274307 + 0.0598684i
\(555\) −8.53772 + 13.2849i −0.362406 + 0.563914i
\(556\) −8.08404 + 17.6377i −0.342840 + 0.748004i
\(557\) 25.2905 + 11.5498i 1.07159 + 0.489379i 0.871499 0.490397i \(-0.163148\pi\)
0.200093 + 0.979777i \(0.435876\pi\)
\(558\) −6.81456 + 6.80524i −0.288483 + 0.288089i
\(559\) −8.86365 2.60260i −0.374893 0.110078i
\(560\) 0.116292 42.4956i 0.00491424 1.79577i
\(561\) 5.92602 + 12.9762i 0.250197 + 0.547855i
\(562\) 36.3498 + 27.2500i 1.53332 + 1.14947i
\(563\) −15.8814 + 18.3281i −0.669320 + 0.772437i −0.984270 0.176672i \(-0.943467\pi\)
0.314950 + 0.949108i \(0.398012\pi\)
\(564\) −1.34267 2.09553i −0.0565364 0.0882376i
\(565\) −16.1224 + 4.73397i −0.678276 + 0.199160i
\(566\) 15.2686 + 8.35087i 0.641788 + 0.351013i
\(567\) −4.08984 + 2.62838i −0.171757 + 0.110382i
\(568\) −12.3369 + 0.856906i −0.517645 + 0.0359550i
\(569\) 17.8392 2.56489i 0.747857 0.107526i 0.242160 0.970236i \(-0.422144\pi\)
0.505698 + 0.862711i \(0.331235\pi\)
\(570\) −2.84750 13.1330i −0.119269 0.550081i
\(571\) 2.39197 16.6365i 0.100101 0.696216i −0.876539 0.481331i \(-0.840153\pi\)
0.976639 0.214885i \(-0.0689375\pi\)
\(572\) −6.98937 + 6.03960i −0.292240 + 0.252528i
\(573\) −11.7356 + 10.1690i −0.490262 + 0.424815i
\(574\) 67.8823 50.7436i 2.83335 2.11800i
\(575\) −0.328313 1.02578i −0.0136916 0.0427778i
\(576\) 6.06745 5.21402i 0.252810 0.217251i
\(577\) 20.6813 + 23.8675i 0.860973 + 0.993616i 0.999994 + 0.00332668i \(0.00105892\pi\)
−0.139021 + 0.990289i \(0.544396\pi\)
\(578\) −1.30685 + 0.0925693i −0.0543579 + 0.00385037i
\(579\) −13.6124 1.95717i −0.565714 0.0813374i
\(580\) −16.5317 + 19.0259i −0.686442 + 0.790009i
\(581\) −3.53079 24.5572i −0.146482 1.01880i
\(582\) −8.96645 + 3.33733i −0.371671 + 0.138337i
\(583\) −2.84533 4.42742i −0.117842 0.183365i
\(584\) −1.28183 + 1.27658i −0.0530424 + 0.0528251i
\(585\) 0.799161 + 2.72169i 0.0330412 + 0.112528i
\(586\) −41.0895 2.96704i −1.69739 0.122567i
\(587\) −19.3706 16.7847i −0.799511 0.692780i 0.155993 0.987758i \(-0.450142\pi\)
−0.955504 + 0.294978i \(0.904688\pi\)
\(588\) −33.2703 0.0455232i −1.37204 0.00187734i
\(589\) −26.9355 + 12.3010i −1.10986 + 0.506855i
\(590\) 6.16562 16.4962i 0.253835 0.679137i
\(591\) −0.637984 + 2.17278i −0.0262432 + 0.0893760i
\(592\) −26.2608 12.0799i −1.07931 0.496479i
\(593\) 0.389988 0.853955i 0.0160149 0.0350677i −0.901456 0.432872i \(-0.857500\pi\)
0.917470 + 0.397804i \(0.130228\pi\)
\(594\) −4.41812 + 2.40855i −0.181278 + 0.0988241i
\(595\) 35.8318 + 23.0277i 1.46896 + 0.944044i
\(596\) −5.58322 12.2700i −0.228698 0.502597i
\(597\) 26.0802i 1.06739i
\(598\) 8.31867 + 2.88213i 0.340176 + 0.117859i
\(599\) 27.6798i 1.13096i −0.824760 0.565482i \(-0.808690\pi\)
0.824760 0.565482i \(-0.191310\pi\)
\(600\) 0.556877 + 0.305563i 0.0227344 + 0.0124746i
\(601\) −39.4520 25.3543i −1.60928 1.03422i −0.962402 0.271628i \(-0.912438\pi\)
−0.646878 0.762594i \(-0.723926\pi\)
\(602\) −23.4202 42.9607i −0.954536 1.75095i
\(603\) 4.90927 10.7498i 0.199921 0.437766i
\(604\) −2.31614 + 15.9541i −0.0942423 + 0.649163i
\(605\) −1.02227 + 3.48154i −0.0415613 + 0.141545i
\(606\) −6.01532 2.24829i −0.244356 0.0913304i
\(607\) −14.9222 + 6.81475i −0.605675 + 0.276602i −0.694555 0.719440i \(-0.744399\pi\)
0.0888800 + 0.996042i \(0.471671\pi\)
\(608\) 23.0760 8.51712i 0.935857 0.345415i
\(609\) 21.1888 + 18.3602i 0.858612 + 0.743991i
\(610\) −2.28899 + 31.6995i −0.0926785 + 1.28347i
\(611\) 0.455075 + 1.54984i 0.0184104 + 0.0627000i
\(612\) 1.13027 + 7.93832i 0.0456886 + 0.320887i
\(613\) −15.0169 23.3668i −0.606528 0.943776i −0.999704 0.0243129i \(-0.992260\pi\)
0.393176 0.919463i \(-0.371376\pi\)
\(614\) 2.02980 + 5.45349i 0.0819160 + 0.220085i
\(615\) −3.83365 26.6636i −0.154588 1.07518i
\(616\) −48.7951 3.59057i −1.96601 0.144668i
\(617\) 1.29068 + 0.185572i 0.0519609 + 0.00747085i 0.168246 0.985745i \(-0.446190\pi\)
−0.116285 + 0.993216i \(0.537099\pi\)
\(618\) −1.39514 19.6960i −0.0561209 0.792290i
\(619\) −6.19914 7.15419i −0.249164 0.287551i 0.617365 0.786677i \(-0.288200\pi\)
−0.866530 + 0.499126i \(0.833655\pi\)
\(620\) −8.42427 + 28.5459i −0.338327 + 1.14643i
\(621\) 4.09597 + 2.49460i 0.164366 + 0.100105i
\(622\) −13.5659 18.1478i −0.543943 0.727660i
\(623\) −13.6698 + 11.8449i −0.547668 + 0.474557i
\(624\) −4.72888 + 2.14399i −0.189307 + 0.0858281i
\(625\) 3.39089 23.5842i 0.135636 0.943366i
\(626\) 34.8293 7.55170i 1.39206 0.301827i
\(627\) −15.3144 + 2.20188i −0.611598 + 0.0879346i
\(628\) 4.34007 + 2.79759i 0.173188 + 0.111636i
\(629\) 24.3731 15.6636i 0.971818 0.624550i
\(630\) −7.20950 + 13.1818i −0.287233 + 0.525174i
\(631\) −13.1603 + 3.86422i −0.523905 + 0.153832i −0.532982 0.846126i \(-0.678929\pi\)
0.00907732 + 0.999959i \(0.497111\pi\)
\(632\) −9.60534 3.60508i −0.382080 0.143402i
\(633\) −0.691045 + 0.797509i −0.0274666 + 0.0316981i
\(634\) −20.9360 + 27.9273i −0.831473 + 1.10914i
\(635\) −8.74100 19.1401i −0.346876 0.759552i
\(636\) −0.829540 2.83952i −0.0328934 0.112594i
\(637\) 20.7186 + 6.08353i 0.820901 + 0.241038i
\(638\) 20.5057 + 20.5338i 0.811830 + 0.812941i
\(639\) 3.97715 + 1.81630i 0.157334 + 0.0718518i
\(640\) 8.75083 23.1231i 0.345907 0.914020i
\(641\) −2.17973 + 3.39173i −0.0860942 + 0.133965i −0.881630 0.471942i \(-0.843553\pi\)
0.795536 + 0.605907i \(0.207190\pi\)
\(642\) −0.106344 + 0.487252i −0.00419708 + 0.0192303i
\(643\) 43.3224 1.70847 0.854235 0.519887i \(-0.174026\pi\)
0.854235 + 0.519887i \(0.174026\pi\)
\(644\) 20.3328 + 41.9644i 0.801225 + 1.65363i
\(645\) −15.5520 −0.612358
\(646\) −5.25710 + 24.0872i −0.206838 + 0.947697i
\(647\) 5.29520 8.23950i 0.208176 0.323928i −0.721427 0.692490i \(-0.756514\pi\)
0.929603 + 0.368562i \(0.120150\pi\)
\(648\) −2.76502 + 0.595552i −0.108620 + 0.0233955i
\(649\) −18.4437 8.42295i −0.723978 0.330630i
\(650\) −0.291313 0.291712i −0.0114262 0.0114419i
\(651\) 31.7659 + 9.32732i 1.24501 + 0.365567i
\(652\) 36.4974 10.6624i 1.42935 0.417571i
\(653\) −18.6361 40.8073i −0.729285 1.59691i −0.800416 0.599445i \(-0.795388\pi\)
0.0711307 0.997467i \(-0.477339\pi\)
\(654\) 6.70087 8.93856i 0.262025 0.349525i
\(655\) −0.921180 + 1.06310i −0.0359935 + 0.0415387i
\(656\) 47.3484 13.7621i 1.84864 0.537320i
\(657\) 0.613693 0.180197i 0.0239425 0.00703014i
\(658\) −4.10539 + 7.50624i −0.160045 + 0.292624i
\(659\) −7.25489 + 4.66243i −0.282610 + 0.181623i −0.674265 0.738490i \(-0.735539\pi\)
0.391654 + 0.920112i \(0.371903\pi\)
\(660\) −8.42544 + 13.0709i −0.327960 + 0.508783i
\(661\) 13.5592 1.94952i 0.527392 0.0758276i 0.126524 0.991963i \(-0.459618\pi\)
0.400868 + 0.916136i \(0.368709\pi\)
\(662\) 22.4977 4.87797i 0.874400 0.189588i
\(663\) 0.740625 5.15116i 0.0287635 0.200054i
\(664\) 3.09711 14.0978i 0.120191 0.547101i
\(665\) −34.9126 + 30.2519i −1.35385 + 1.17312i
\(666\) 6.11889 + 8.18555i 0.237102 + 0.317184i
\(667\) 7.14864 26.7176i 0.276796 1.03451i
\(668\) 0.569011 + 0.167923i 0.0220157 + 0.00649712i
\(669\) 8.19993 + 9.46322i 0.317027 + 0.365869i
\(670\) −2.58053 36.4308i −0.0996947 1.40744i
\(671\) 36.2194 + 5.20757i 1.39824 + 0.201036i
\(672\) −25.7344 9.69883i −0.992725 0.374141i
\(673\) −5.21988 36.3050i −0.201211 1.39946i −0.800696 0.599070i \(-0.795537\pi\)
0.599485 0.800386i \(-0.295372\pi\)
\(674\) −4.83413 12.9879i −0.186204 0.500277i
\(675\) −0.121416 0.188927i −0.00467329 0.00727179i
\(676\) −22.4042 + 3.18995i −0.861699 + 0.122690i
\(677\) 6.90171 + 23.5051i 0.265254 + 0.903373i 0.979153 + 0.203124i \(0.0651095\pi\)
−0.713899 + 0.700249i \(0.753072\pi\)
\(678\) −0.783178 + 10.8460i −0.0300778 + 0.416537i
\(679\) 24.8563 + 21.5381i 0.953896 + 0.826556i
\(680\) 14.8096 + 19.8681i 0.567921 + 0.761908i
\(681\) 4.15246 1.89636i 0.159123 0.0726688i
\(682\) 32.0985 + 11.9972i 1.22912 + 0.459395i
\(683\) 3.91512 13.3337i 0.149808 0.510199i −0.850056 0.526692i \(-0.823432\pi\)
0.999864 + 0.0164931i \(0.00525015\pi\)
\(684\) −8.60637 1.24943i −0.329073 0.0477732i
\(685\) −12.5292 + 27.4350i −0.478714 + 1.04824i
\(686\) 31.7081 + 58.1637i 1.21062 + 2.22070i
\(687\) −11.9996 7.71166i −0.457812 0.294218i
\(688\) −3.97413 28.1881i −0.151512 1.07466i
\(689\) 1.91995i 0.0731444i
\(690\) 14.8042 + 0.710012i 0.563588 + 0.0270297i
\(691\) 8.50130i 0.323405i −0.986840 0.161702i \(-0.948302\pi\)
0.986840 0.161702i \(-0.0516984\pi\)
\(692\) 28.7314 13.0737i 1.09220 0.496987i
\(693\) 14.5523 + 9.35218i 0.552795 + 0.355260i
\(694\) −35.4945 + 19.3500i −1.34735 + 0.734515i
\(695\) 8.80654 19.2836i 0.334051 0.731470i
\(696\) 7.78786 + 14.3322i 0.295198 + 0.543263i
\(697\) −13.9235 + 47.4192i −0.527392 + 1.79613i
\(698\) 7.05339 18.8714i 0.266975 0.714294i
\(699\) 26.5207 12.1116i 1.00311 0.458103i
\(700\) 0.00298780 2.18361i 0.000112928 0.0825327i
\(701\) 24.9280 + 21.6003i 0.941518 + 0.815830i 0.983056 0.183307i \(-0.0586801\pi\)
−0.0415373 + 0.999137i \(0.513226\pi\)
\(702\) 1.83095 + 0.132211i 0.0691049 + 0.00499000i
\(703\) 8.85284 + 30.1500i 0.333891 + 1.13713i
\(704\) −25.8441 11.9311i −0.974037 0.449669i
\(705\) 1.47018 + 2.28764i 0.0553701 + 0.0861575i
\(706\) −27.7956 + 10.3456i −1.04610 + 0.389361i
\(707\) 3.14172 + 21.8512i 0.118157 + 0.821798i
\(708\) −8.60299 7.47517i −0.323320 0.280934i
\(709\) 24.8581 + 3.57405i 0.933564 + 0.134226i 0.592279 0.805733i \(-0.298229\pi\)
0.341286 + 0.939960i \(0.389138\pi\)
\(710\) 13.4785 0.954730i 0.505838 0.0358304i
\(711\) 2.37538 + 2.74134i 0.0890838 + 0.102808i
\(712\) −9.86727 + 3.65725i −0.369791 + 0.137061i
\(713\) −5.42748 32.2050i −0.203261 1.20609i
\(714\) 22.0779 16.5037i 0.826243 0.617636i
\(715\) 7.62781 6.60953i 0.285264 0.247182i
\(716\) 9.94121 + 11.5045i 0.371520 + 0.429945i
\(717\) −0.643070 + 4.47265i −0.0240159 + 0.167034i
\(718\) −0.402005 1.85409i −0.0150027 0.0691941i
\(719\) −30.4793 + 4.38227i −1.13669 + 0.163431i −0.684860 0.728674i \(-0.740137\pi\)
−0.451827 + 0.892105i \(0.649228\pi\)
\(720\) −6.62172 + 5.70610i −0.246777 + 0.212654i
\(721\) −57.1027 + 36.6977i −2.12661 + 1.36669i
\(722\) 0.114576 + 0.0626651i 0.00426408 + 0.00233215i
\(723\) 18.8163 5.52495i 0.699784 0.205475i
\(724\) 2.98994 1.91574i 0.111120 0.0711979i
\(725\) −0.848132 + 0.978796i −0.0314988 + 0.0363516i
\(726\) 1.87888 + 1.40852i 0.0697319 + 0.0522751i
\(727\) −2.74061 6.00110i −0.101644 0.222568i 0.851977 0.523579i \(-0.175403\pi\)
−0.953621 + 0.301010i \(0.902676\pi\)
\(728\) 14.2669 + 10.7259i 0.528768 + 0.397527i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 1.39866 1.39675i 0.0517668 0.0516960i
\(731\) 25.9539 + 11.8527i 0.959938 + 0.438389i
\(732\) 18.6975 + 8.56981i 0.691081 + 0.316749i
\(733\) −0.837040 + 1.30246i −0.0309168 + 0.0481075i −0.856368 0.516366i \(-0.827284\pi\)
0.825451 + 0.564474i \(0.190921\pi\)
\(734\) −31.3146 6.83452i −1.15584 0.252267i
\(735\) 36.3524 1.34088
\(736\) 2.49615 + 27.0142i 0.0920095 + 0.995758i
\(737\) −42.0493 −1.54891
\(738\) −17.0320 3.71730i −0.626957 0.136836i
\(739\) 5.44821 8.47758i 0.200416 0.311853i −0.726469 0.687199i \(-0.758840\pi\)
0.926885 + 0.375346i \(0.122476\pi\)
\(740\) 28.7116 + 13.1596i 1.05546 + 0.483758i
\(741\) 5.13424 + 2.34473i 0.188611 + 0.0861357i
\(742\) −7.19574 + 7.18591i −0.264164 + 0.263803i
\(743\) −11.9600 3.51178i −0.438771 0.128835i 0.0548837 0.998493i \(-0.482521\pi\)
−0.493655 + 0.869658i \(0.664339\pi\)
\(744\) 15.3957 + 11.5745i 0.564435 + 0.424341i
\(745\) 6.11877 + 13.3982i 0.224175 + 0.490874i
\(746\) −7.86459 5.89576i −0.287943 0.215859i
\(747\) −3.34188 + 3.85673i −0.122273 + 0.141111i
\(748\) 24.0226 15.3920i 0.878352 0.562786i
\(749\) 1.64500 0.483014i 0.0601068 0.0176490i
\(750\) −14.1659 7.74777i −0.517267 0.282909i
\(751\) −27.2303 + 17.4999i −0.993648 + 0.638579i −0.933112 0.359587i \(-0.882918\pi\)
−0.0605366 + 0.998166i \(0.519281\pi\)
\(752\) −3.77068 + 3.24929i −0.137503 + 0.118489i
\(753\) 5.86981 0.843951i 0.213908 0.0307553i
\(754\) −2.24326 10.3462i −0.0816946 0.376785i
\(755\) 2.50684 17.4355i 0.0912334 0.634542i
\(756\) 6.35728 + 7.35701i 0.231212 + 0.267572i
\(757\) 37.2021 32.2358i 1.35213 1.17163i 0.383383 0.923590i \(-0.374759\pi\)
0.968750 0.248040i \(-0.0797864\pi\)
\(758\) −5.48226 + 4.09812i −0.199125 + 0.148850i
\(759\) 2.01975 16.9443i 0.0733121 0.615041i
\(760\) −25.2010 + 9.34061i −0.914136 + 0.338819i
\(761\) 2.57358 + 2.97007i 0.0932923 + 0.107665i 0.800476 0.599365i \(-0.204580\pi\)
−0.707184 + 0.707030i \(0.750035\pi\)
\(762\) −13.5832 + 0.962147i −0.492066 + 0.0348549i
\(763\) −38.0126 5.46539i −1.37615 0.197860i
\(764\) 23.4434 + 20.3700i 0.848152 + 0.736962i
\(765\) −1.24685 8.67200i −0.0450798 0.313537i
\(766\) 32.3835 12.0532i 1.17006 0.435499i
\(767\) 3.99906 + 6.22265i 0.144398 + 0.224687i
\(768\) −12.0345 10.5438i −0.434256 0.380466i
\(769\) −7.17231 24.4267i −0.258640 0.880848i −0.981760 0.190125i \(-0.939111\pi\)
0.723120 0.690723i \(-0.242707\pi\)
\(770\) 53.3207 + 3.85024i 1.92154 + 0.138753i
\(771\) 2.20926 + 1.91434i 0.0795646 + 0.0689431i
\(772\) −0.0376344 + 27.5048i −0.00135449 + 0.989921i
\(773\) 3.92077 1.79055i 0.141020 0.0644018i −0.343655 0.939096i \(-0.611665\pi\)
0.484675 + 0.874694i \(0.338938\pi\)
\(774\) −3.52365 + 9.42757i −0.126655 + 0.338867i
\(775\) −0.430868 + 1.46740i −0.0154772 + 0.0527106i
\(776\) 9.13584 + 16.8130i 0.327958 + 0.603551i
\(777\) 14.5945 31.9574i 0.523574 1.14647i
\(778\) −24.0844 + 13.1297i −0.863466 + 0.470722i
\(779\) −45.0923 28.9790i −1.61560 1.03828i
\(780\) 5.16373 2.34967i 0.184891 0.0841315i
\(781\) 15.5572i 0.556679i
\(782\) −24.1649 12.4678i −0.864134 0.445846i
\(783\) 5.76698i 0.206095i
\(784\) 9.28946 + 65.8891i 0.331766 + 2.35318i
\(785\) −4.74630 3.05026i −0.169403 0.108869i
\(786\) 0.435734 + 0.799287i 0.0155421 + 0.0285096i
\(787\) −9.52703 + 20.8613i −0.339602 + 0.743624i −0.999973 0.00731478i \(-0.997672\pi\)
0.660371 + 0.750939i \(0.270399\pi\)
\(788\) 4.48202 + 0.650678i 0.159665 + 0.0231794i
\(789\) 0.0903137 0.307580i 0.00321525 0.0109501i
\(790\) 10.5005 + 3.92468i 0.373592 + 0.139634i
\(791\) 34.0039 15.5290i 1.20904 0.552149i
\(792\) 6.01457 + 8.06899i 0.213718 + 0.286719i
\(793\) −10.0886 8.74180i −0.358256 0.310430i
\(794\) −3.28776 + 45.5312i −0.116678 + 1.61584i
\(795\) 0.910631 + 3.10132i 0.0322967 + 0.109993i
\(796\) −51.6396 + 7.35255i −1.83032 + 0.260604i
\(797\) −7.43048 11.5621i −0.263201 0.409549i 0.684350 0.729154i \(-0.260086\pi\)
−0.947551 + 0.319605i \(0.896450\pi\)
\(798\) 10.4284 + 28.0182i 0.369162 + 0.991834i
\(799\) −0.710006 4.93820i −0.0251182 0.174701i
\(800\) 0.448029 1.18878i 0.0158402 0.0420296i
\(801\) 3.68265 + 0.529486i 0.130120 + 0.0187085i
\(802\) −2.45276 34.6270i −0.0866099 1.22272i
\(803\) −1.49033 1.71993i −0.0525927 0.0606952i
\(804\) −22.6690 6.68991i −0.799472 0.235935i
\(805\) −22.2791 45.8214i −0.785235 1.61499i
\(806\) −7.48476 10.0127i −0.263639 0.352684i
\(807\) −7.23445 + 6.26869i −0.254665 + 0.220668i
\(808\) −2.75583 + 12.5444i −0.0969499 + 0.441309i
\(809\) 0.767162 5.33573i 0.0269720 0.187594i −0.971881 0.235471i \(-0.924337\pi\)
0.998853 + 0.0478773i \(0.0152457\pi\)
\(810\) 3.02027 0.654855i 0.106121 0.0230093i
\(811\) 4.22034 0.606794i 0.148196 0.0213074i −0.0678174 0.997698i \(-0.521604\pi\)
0.216014 + 0.976390i \(0.430694\pi\)
\(812\) 30.3801 47.1305i 1.06613 1.65396i
\(813\) 21.1986 13.6235i 0.743467 0.477797i
\(814\) 17.4490 31.9036i 0.611588 1.11822i
\(815\) −39.8624 + 11.7047i −1.39632 + 0.409996i
\(816\) 15.3995 4.47595i 0.539089 0.156690i
\(817\) −20.2650 + 23.3871i −0.708984 + 0.818211i
\(818\) −4.27540 + 5.70313i −0.149486 + 0.199405i
\(819\) −2.62152 5.74033i −0.0916033 0.200583i
\(820\) −51.7140 + 15.1078i −1.80593 + 0.527586i
\(821\) 9.19090 + 2.69869i 0.320765 + 0.0941850i 0.438151 0.898901i \(-0.355633\pi\)
−0.117386 + 0.993086i \(0.537452\pi\)
\(822\) 13.7923 + 13.8112i 0.481061 + 0.481720i
\(823\) 16.8747 + 7.70640i 0.588214 + 0.268628i 0.687209 0.726460i \(-0.258836\pi\)
−0.0989952 + 0.995088i \(0.531563\pi\)
\(824\) −38.6054 + 8.31514i −1.34488 + 0.289672i
\(825\) −0.432016 + 0.672229i −0.0150409 + 0.0234040i
\(826\) −8.35425 + 38.2778i −0.290682 + 1.33185i
\(827\) 32.3665 1.12549 0.562747 0.826629i \(-0.309745\pi\)
0.562747 + 0.826629i \(0.309745\pi\)
\(828\) 3.78464 8.81343i 0.131525 0.306288i
\(829\) 40.6649 1.41235 0.706175 0.708037i \(-0.250419\pi\)
0.706175 + 0.708037i \(0.250419\pi\)
\(830\) −3.36294 + 15.4084i −0.116729 + 0.534834i
\(831\) −2.52633 + 3.93105i −0.0876375 + 0.136367i
\(832\) 5.57832 + 8.75889i 0.193394 + 0.303660i
\(833\) −60.6666 27.7055i −2.10197 0.959939i
\(834\) −9.69438 9.70765i −0.335689 0.336149i
\(835\) −0.621972 0.182628i −0.0215242 0.00632009i
\(836\) 8.67724 + 29.7022i 0.300108 + 1.02727i
\(837\) −2.82893 6.19450i −0.0977823 0.214113i
\(838\) −17.3450 + 23.1373i −0.599175 + 0.799263i
\(839\) 2.17494 2.51002i 0.0750873 0.0866554i −0.716963 0.697111i \(-0.754468\pi\)
0.792050 + 0.610456i \(0.209014\pi\)
\(840\) 28.1328 + 10.5588i 0.970674 + 0.364314i
\(841\) −4.08553 + 1.19962i −0.140880 + 0.0413662i
\(842\) 6.98882 12.7783i 0.240851 0.440368i
\(843\) −27.0242 + 17.3674i −0.930763 + 0.598165i
\(844\) 1.77391 + 1.14346i 0.0610605 + 0.0393594i
\(845\) 24.4748 3.51895i 0.841960 0.121056i
\(846\) 1.71986 0.372902i 0.0591302 0.0128206i
\(847\) 1.14882 7.99024i 0.0394740 0.274548i
\(848\) −5.38848 + 2.44304i −0.185041 + 0.0838942i
\(849\) −9.30014 + 8.05862i −0.319180 + 0.276571i
\(850\) 0.762375 + 1.01987i 0.0261493 + 0.0349812i
\(851\) −34.6469 + 0.837254i −1.18768 + 0.0287007i
\(852\) 2.47509 8.38693i 0.0847953 0.287331i
\(853\) −34.1206 39.3773i −1.16827 1.34825i −0.925764 0.378102i \(-0.876577\pi\)
−0.242504 0.970151i \(-0.577969\pi\)
\(854\) −4.99584 70.5290i −0.170954 2.41345i
\(855\) 9.40549 + 1.35231i 0.321661 + 0.0462479i
\(856\) 0.994755 + 0.0731987i 0.0340000 + 0.00250188i
\(857\) −3.68455 25.6266i −0.125862 0.875388i −0.950721 0.310049i \(-0.899654\pi\)
0.824859 0.565339i \(-0.191255\pi\)
\(858\) −2.27843 6.12150i −0.0777844 0.208985i
\(859\) 10.5955 + 16.4869i 0.361512 + 0.562524i 0.973599 0.228267i \(-0.0733058\pi\)
−0.612086 + 0.790791i \(0.709669\pi\)
\(860\) 4.38442 + 30.7934i 0.149508 + 1.05005i
\(861\) 16.8839 + 57.5013i 0.575402 + 1.95964i
\(862\) −1.55077 + 21.4761i −0.0528194 + 0.731479i
\(863\) −1.68893 1.46347i −0.0574920 0.0498171i 0.625641 0.780111i \(-0.284838\pi\)
−0.683133 + 0.730294i \(0.739383\pi\)
\(864\) 1.95873 + 5.30692i 0.0666372 + 0.180545i
\(865\) −31.3734 + 14.3277i −1.06673 + 0.487158i
\(866\) 33.2835 + 12.4400i 1.13102 + 0.422730i
\(867\) 0.260997 0.888873i 0.00886391 0.0301877i
\(868\) 9.51291 65.5271i 0.322889 2.22414i
\(869\) 5.36156 11.7402i 0.181879 0.398258i
\(870\) −8.53072 15.6483i −0.289218 0.530527i
\(871\) 12.9049 + 8.29344i 0.437264 + 0.281013i
\(872\) −19.5877 10.7480i −0.663324 0.363972i
\(873\) 6.76517i 0.228966i
\(874\) 20.3584 21.3375i 0.688633 0.721750i
\(875\) 55.5056i 1.87643i
\(876\) −0.529808 1.16433i −0.0179005 0.0393391i
\(877\) 0.0327853 + 0.0210698i 0.00110708 + 0.000711477i 0.541194 0.840898i \(-0.317972\pi\)
−0.540087 + 0.841609i \(0.681609\pi\)
\(878\) −10.2317 + 5.57783i −0.345302 + 0.188243i
\(879\) 12.1012 26.4979i 0.408162 0.893751i
\(880\) 28.2560 + 12.9977i 0.952511 + 0.438151i
\(881\) −1.64743 + 5.61065i −0.0555035 + 0.189027i −0.982578 0.185849i \(-0.940497\pi\)
0.927075 + 0.374876i \(0.122315\pi\)
\(882\) 8.23646 22.0368i 0.277336 0.742016i
\(883\) −16.4554 + 7.51492i −0.553768 + 0.252897i −0.672586 0.740019i \(-0.734817\pi\)
0.118819 + 0.992916i \(0.462089\pi\)
\(884\) −10.4082 0.0142414i −0.350067 0.000478991i
\(885\) 9.41112 + 8.15478i 0.316351 + 0.274120i
\(886\) 40.1955 + 2.90248i 1.35039 + 0.0975106i
\(887\) 11.6225 + 39.5826i 0.390246 + 1.32905i 0.887243 + 0.461303i \(0.152618\pi\)
−0.496997 + 0.867752i \(0.665564\pi\)
\(888\) 14.4826 14.4233i 0.486004 0.484013i
\(889\) 25.3082 + 39.3803i 0.848809 + 1.32077i
\(890\) 10.7759 4.01079i 0.361208 0.134442i
\(891\) −0.506378 3.52193i −0.0169643 0.117989i
\(892\) 16.4257 18.9040i 0.549974 0.632952i
\(893\) 5.35588 + 0.770059i 0.179228 + 0.0257690i
\(894\) 9.50834 0.673512i 0.318006 0.0225256i
\(895\) −10.8793 12.5554i −0.363656 0.419681i
\(896\) −11.9489 + 53.6892i −0.399186 + 1.79363i
\(897\) −3.96181 + 4.80183i −0.132281 + 0.160328i
\(898\) −13.6664 + 10.2160i −0.456054 + 0.340911i
\(899\) −29.6802 + 25.7180i −0.989890 + 0.857744i
\(900\) −0.339851 + 0.293669i −0.0113284 + 0.00978897i
\(901\) 0.843929 5.86966i 0.0281154 0.195547i
\(902\) 13.1438 + 60.6206i 0.437640 + 2.01844i
\(903\) 34.2465 4.92390i 1.13965 0.163857i
\(904\) 21.6962 1.50699i 0.721604 0.0501217i
\(905\) −3.26405 + 2.09768i −0.108501 + 0.0697291i
\(906\) −10.0014 5.47005i −0.332273 0.181730i
\(907\) 10.9137 3.20455i 0.362383 0.106405i −0.0954718 0.995432i \(-0.530436\pi\)
0.457855 + 0.889027i \(0.348618\pi\)
\(908\) −4.92552 7.68737i −0.163459 0.255114i
\(909\) 2.97363 3.43176i 0.0986292 0.113824i
\(910\) −15.6046 11.6981i −0.517288 0.387789i
\(911\) 8.61297 + 18.8598i 0.285360 + 0.624852i 0.996975 0.0777176i \(-0.0247633\pi\)
−0.711615 + 0.702570i \(0.752036\pi\)
\(912\) −0.0475975 + 17.3931i −0.00157611 + 0.575943i
\(913\) 17.4224 + 5.11568i 0.576597 + 0.169304i
\(914\) 28.5395 28.5005i 0.944004 0.942713i
\(915\) −20.4424 9.33573i −0.675805 0.308630i
\(916\) −11.8864 + 25.9336i −0.392737 + 0.856870i
\(917\) 1.69191 2.63267i 0.0558719 0.0869383i
\(918\) −5.53945 1.20900i −0.182829 0.0399031i
\(919\) 45.5289 1.50186 0.750930 0.660382i \(-0.229606\pi\)
0.750930 + 0.660382i \(0.229606\pi\)
\(920\) −2.76777 29.5130i −0.0912508 0.973015i
\(921\) −4.11465 −0.135582
\(922\) −1.58978 0.346974i −0.0523566 0.0114270i
\(923\) −3.06836 + 4.77446i −0.100996 + 0.157153i
\(924\) 14.4150 31.4505i 0.474219 1.03465i
\(925\) 1.47625 + 0.674179i 0.0485387 + 0.0221669i
\(926\) −41.4684 + 41.4117i −1.36274 + 1.36087i
\(927\) 13.3965 + 3.93357i 0.439999 + 0.129195i
\(928\) 26.1827 19.4608i 0.859490 0.638830i
\(929\) −3.38063 7.40255i −0.110915 0.242870i 0.846032 0.533131i \(-0.178985\pi\)
−0.956947 + 0.290262i \(0.906258\pi\)
\(930\) −16.8392 12.6237i −0.552181 0.413947i
\(931\) 47.3691 54.6669i 1.55246 1.79163i
\(932\) −31.4581 49.0973i −1.03044 1.60824i
\(933\) 15.3725 4.51377i 0.503273 0.147774i
\(934\) 39.4310 + 21.5660i 1.29022 + 0.705661i
\(935\) −26.2249 + 16.8537i −0.857646 + 0.551176i
\(936\) −0.254401 3.66262i −0.00831535 0.119716i
\(937\) −40.9784 + 5.89180i −1.33871 + 0.192477i −0.774194 0.632948i \(-0.781844\pi\)
−0.564511 + 0.825425i \(0.690935\pi\)
\(938\) 17.2168 + 79.4060i 0.562150 + 2.59270i
\(939\) −3.58637 + 24.9438i −0.117037 + 0.814010i
\(940\) 4.11512 3.55593i 0.134221 0.115982i
\(941\) −40.7187 + 35.2829i −1.32739 + 1.15019i −0.350473 + 0.936573i \(0.613979\pi\)
−0.976917 + 0.213617i \(0.931476\pi\)
\(942\) −2.92445 + 2.18609i −0.0952836 + 0.0712267i
\(943\) 43.7301 39.7821i 1.42405 1.29548i
\(944\) −12.3757 + 19.1416i −0.402795 + 0.623006i
\(945\) −6.95720 8.02903i −0.226318 0.261184i
\(946\) 35.7217 2.53030i 1.16141 0.0822673i
\(947\) −2.77447 0.398909i −0.0901583 0.0129628i 0.0970880 0.995276i \(-0.469047\pi\)
−0.187246 + 0.982313i \(0.559956\pi\)
\(948\) 4.75826 5.47617i 0.154541 0.177858i
\(949\) 0.118155 + 0.821785i 0.00383547 + 0.0266763i
\(950\) −1.29428 + 0.481732i −0.0419919 + 0.0156294i
\(951\) −13.3433 20.7625i −0.432685 0.673271i
\(952\) −38.9021 39.0621i −1.26082 1.26601i
\(953\) −7.32043 24.9311i −0.237132 0.807598i −0.988953 0.148230i \(-0.952642\pi\)
0.751821 0.659367i \(-0.229176\pi\)
\(954\) 2.08634 + 0.150653i 0.0675478 + 0.00487756i
\(955\) −25.6455 22.2220i −0.829870 0.719086i
\(956\) 9.03728 + 0.0123656i 0.292287 + 0.000399931i
\(957\) −18.6654 + 8.52422i −0.603368 + 0.275549i
\(958\) −12.5860 + 33.6741i −0.406637 + 1.08796i
\(959\) 18.9038 64.3806i 0.610437 2.07896i
\(960\) 13.1651 + 11.5025i 0.424900 + 0.371243i
\(961\) −6.38689 + 13.9853i −0.206029 + 0.451140i
\(962\) −11.6475 + 6.34965i −0.375529 + 0.204721i
\(963\) −0.296668 0.190657i −0.00955999 0.00614383i
\(964\) −16.2443 35.6992i −0.523193 1.14979i
\(965\) 30.0528i 0.967435i
\(966\) −32.8247 + 3.12367i −1.05612 + 0.100502i
\(967\) 13.1467i 0.422769i 0.977403 + 0.211384i \(0.0677972\pi\)
−0.977403 + 0.211384i \(0.932203\pi\)
\(968\) 2.25922 4.11734i 0.0726140 0.132336i
\(969\) −14.6657 9.42506i −0.471130 0.302777i
\(970\) −10.0073 18.3568i −0.321315 0.589402i
\(971\) −12.6281 + 27.6517i −0.405255 + 0.887384i 0.591456 + 0.806338i \(0.298553\pi\)
−0.996710 + 0.0810464i \(0.974174\pi\)
\(972\) 0.287338 1.97925i 0.00921637 0.0634845i
\(973\) −13.2872 + 45.2521i −0.425968 + 1.45072i
\(974\) 17.5384 + 6.55515i 0.561966 + 0.210040i
\(975\) 0.265169 0.121099i 0.00849222 0.00387827i
\(976\) 11.6973 39.4377i 0.374421 1.26237i
\(977\) 6.42228 + 5.56494i 0.205467 + 0.178038i 0.751516 0.659715i \(-0.229323\pi\)
−0.546049 + 0.837754i \(0.683869\pi\)
\(978\) −1.93639 + 26.8165i −0.0619190 + 0.857496i
\(979\) −3.72963 12.7019i −0.119199 0.405956i
\(980\) −10.2485 71.9789i −0.327376 2.29928i
\(981\) 4.27071 + 6.64536i 0.136353 + 0.212170i
\(982\) 10.8390 + 29.1214i 0.345888 + 0.929302i
\(983\) −2.32772 16.1896i −0.0742426 0.516369i −0.992677 0.120796i \(-0.961455\pi\)
0.918435 0.395573i \(-0.129454\pi\)
\(984\) −2.55868 + 34.7719i −0.0815677 + 1.10849i
\(985\) −4.89819 0.704254i −0.156069 0.0224394i
\(986\) 2.31033 + 32.6162i 0.0735758 + 1.03871i
\(987\) −3.96172 4.57206i −0.126103 0.145530i
\(988\) 3.19518 10.8270i 0.101652 0.344452i
\(989\) −19.1406 28.2583i −0.608637 0.898562i
\(990\) −6.58379 8.80747i −0.209247 0.279920i
\(991\) 20.6134 17.8616i 0.654805 0.567392i −0.262817 0.964846i \(-0.584652\pi\)
0.917622 + 0.397454i \(0.130106\pi\)
\(992\) 18.5775 33.7471i 0.589835 1.07147i
\(993\) −2.31659 + 16.1123i −0.0735149 + 0.511307i
\(994\) −29.3782 + 6.36979i −0.931819 + 0.202037i
\(995\) 56.4123 8.11086i 1.78839 0.257132i
\(996\) 8.57860 + 5.52973i 0.271823 + 0.175216i
\(997\) 33.6857 21.6485i 1.06684 0.685614i 0.115356 0.993324i \(-0.463199\pi\)
0.951480 + 0.307710i \(0.0995628\pi\)
\(998\) 24.3759 44.5687i 0.771607 1.41080i
\(999\) −6.93376 + 2.03594i −0.219374 + 0.0644141i
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 276.2.m.a.79.23 yes 240
3.2 odd 2 828.2.u.c.631.2 240
4.3 odd 2 inner 276.2.m.a.79.13 yes 240
12.11 even 2 828.2.u.c.631.12 240
23.7 odd 22 inner 276.2.m.a.7.13 240
69.53 even 22 828.2.u.c.559.12 240
92.7 even 22 inner 276.2.m.a.7.23 yes 240
276.191 odd 22 828.2.u.c.559.2 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
276.2.m.a.7.13 240 23.7 odd 22 inner
276.2.m.a.7.23 yes 240 92.7 even 22 inner
276.2.m.a.79.13 yes 240 4.3 odd 2 inner
276.2.m.a.79.23 yes 240 1.1 even 1 trivial
828.2.u.c.559.2 240 276.191 odd 22
828.2.u.c.559.12 240 69.53 even 22
828.2.u.c.631.2 240 3.2 odd 2
828.2.u.c.631.12 240 12.11 even 2