Properties

Label 276.2.o.a.35.18
Level $276$
Weight $2$
Character 276.35
Analytic conductor $2.204$
Analytic rank $0$
Dimension $440$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [276,2,Mod(35,276)]
 
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, 11, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("276.35");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 276.o (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: \(440\)
Relative dimension: \(44\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 35.18
Character \(\chi\) \(=\) 276.35
Dual form 276.2.o.a.71.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.483159 - 1.32912i) q^{2} +(1.72667 + 0.136433i) q^{3} +(-1.53312 + 1.28435i) q^{4} +(-0.252117 - 0.858632i) q^{5} +(-0.652920 - 2.36087i) q^{6} +(1.92220 - 1.66560i) q^{7} +(2.44779 + 1.41715i) q^{8} +(2.96277 + 0.471148i) q^{9} +O(q^{10})\) \(q+(-0.483159 - 1.32912i) q^{2} +(1.72667 + 0.136433i) q^{3} +(-1.53312 + 1.28435i) q^{4} +(-0.252117 - 0.858632i) q^{5} +(-0.652920 - 2.36087i) q^{6} +(1.92220 - 1.66560i) q^{7} +(2.44779 + 1.41715i) q^{8} +(2.96277 + 0.471148i) q^{9} +(-1.01941 + 0.749950i) q^{10} +(-1.26700 - 0.814252i) q^{11} +(-2.82241 + 2.00848i) q^{12} +(-0.796709 + 0.919451i) q^{13} +(-3.14251 - 1.75009i) q^{14} +(-0.318177 - 1.51697i) q^{15} +(0.700885 - 3.93812i) q^{16} +(6.64432 - 3.03436i) q^{17} +(-0.805277 - 4.16552i) q^{18} +(-5.60653 - 2.56042i) q^{19} +(1.48931 + 0.992575i) q^{20} +(3.54625 - 2.61369i) q^{21} +(-0.470075 + 2.07741i) q^{22} +(-0.578761 + 4.76078i) q^{23} +(4.03318 + 2.78090i) q^{24} +(3.53258 - 2.27025i) q^{25} +(1.60700 + 0.614680i) q^{26} +(5.05145 + 1.21774i) q^{27} +(-0.807747 + 5.02234i) q^{28} +(-6.02903 + 2.75337i) q^{29} +(-1.86250 + 1.15583i) q^{30} +(-4.18222 + 0.601313i) q^{31} +(-5.57286 + 0.971175i) q^{32} +(-2.07660 - 1.57880i) q^{33} +(-7.24328 - 7.36501i) q^{34} +(-1.91476 - 1.23054i) q^{35} +(-5.14739 + 3.08291i) q^{36} +(5.30163 + 1.55670i) q^{37} +(-0.694255 + 8.68884i) q^{38} +(-1.50110 + 1.47889i) q^{39} +(0.599678 - 2.45904i) q^{40} +(1.90201 + 6.47765i) q^{41} +(-5.18731 - 3.45057i) q^{42} +(-5.31318 - 0.763921i) q^{43} +(2.98824 - 0.378932i) q^{44} +(-0.342423 - 2.66272i) q^{45} +(6.60728 - 1.53097i) q^{46} -0.483749 q^{47} +(1.74748 - 6.70420i) q^{48} +(-0.0755561 + 0.525504i) q^{49} +(-4.72423 - 3.59833i) q^{50} +(11.8865 - 4.33283i) q^{51} +(0.0405487 - 2.43288i) q^{52} +(-4.51572 + 3.91290i) q^{53} +(-0.822134 - 7.30233i) q^{54} +(-0.379710 + 1.29317i) q^{55} +(7.06556 - 1.35300i) q^{56} +(-9.33130 - 5.18591i) q^{57} +(6.57253 + 6.68299i) q^{58} +(-0.185128 + 0.213649i) q^{59} +(2.43613 + 1.91704i) q^{60} +(1.15091 + 8.00476i) q^{61} +(2.81989 + 5.26814i) q^{62} +(6.47980 - 4.02915i) q^{63} +(3.98339 + 6.93777i) q^{64} +(0.990335 + 0.452271i) q^{65} +(-1.09509 + 3.52286i) q^{66} +(2.83225 + 4.40707i) q^{67} +(-6.28932 + 13.1857i) q^{68} +(-1.64886 + 8.14133i) q^{69} +(-0.710403 + 3.13949i) q^{70} +(-6.21490 + 3.99407i) q^{71} +(6.58457 + 5.35196i) q^{72} +(-1.39548 + 3.05568i) q^{73} +(-0.492490 - 7.79863i) q^{74} +(6.40934 - 3.43801i) q^{75} +(11.8839 - 3.27534i) q^{76} +(-3.79165 + 0.545157i) q^{77} +(2.69089 + 1.28060i) q^{78} +(-4.79347 - 4.15356i) q^{79} +(-3.55810 + 0.391064i) q^{80} +(8.55604 + 2.79181i) q^{81} +(7.69060 - 5.65773i) q^{82} +(11.1296 + 3.26795i) q^{83} +(-2.07992 + 8.56172i) q^{84} +(-4.28054 - 4.94001i) q^{85} +(1.55177 + 7.43095i) q^{86} +(-10.7858 + 3.93159i) q^{87} +(-1.94744 - 3.78865i) q^{88} +(7.29656 + 1.04909i) q^{89} +(-3.37362 + 1.74164i) q^{90} +3.09437i q^{91} +(-5.22721 - 8.04216i) q^{92} +(-7.30335 + 0.467676i) q^{93} +(0.233727 + 0.642959i) q^{94} +(-0.784954 + 5.45948i) q^{95} +(-9.75499 + 0.916578i) q^{96} +(-7.46649 + 2.19236i) q^{97} +(0.734963 - 0.153479i) q^{98} +(-3.37020 - 3.00939i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(97\) \(139\) \(185\)
\(\chi(n)\) \(e\left(\frac{10}{11}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.483159 1.32912i −0.341645 0.939829i
\(3\) 1.72667 + 0.136433i 0.996893 + 0.0787695i
\(4\) −1.53312 + 1.28435i −0.766558 + 0.642175i
\(5\) −0.252117 0.858632i −0.112750 0.383992i 0.883712 0.468031i \(-0.155036\pi\)
−0.996463 + 0.0840385i \(0.973218\pi\)
\(6\) −0.652920 2.36087i −0.266553 0.963820i
\(7\) 1.92220 1.66560i 0.726525 0.629537i −0.210988 0.977489i \(-0.567668\pi\)
0.937513 + 0.347951i \(0.113123\pi\)
\(8\) 2.44779 + 1.41715i 0.865426 + 0.501037i
\(9\) 2.96277 + 0.471148i 0.987591 + 0.157049i
\(10\) −1.01941 + 0.749950i −0.322366 + 0.237155i
\(11\) −1.26700 0.814252i −0.382015 0.245506i 0.335513 0.942035i \(-0.391090\pi\)
−0.717528 + 0.696529i \(0.754727\pi\)
\(12\) −2.82241 + 2.00848i −0.814760 + 0.579799i
\(13\) −0.796709 + 0.919451i −0.220967 + 0.255010i −0.855400 0.517968i \(-0.826688\pi\)
0.634432 + 0.772978i \(0.281234\pi\)
\(14\) −3.14251 1.75009i −0.839871 0.467731i
\(15\) −0.318177 1.51697i −0.0821531 0.391680i
\(16\) 0.700885 3.93812i 0.175221 0.984529i
\(17\) 6.64432 3.03436i 1.61148 0.735940i 0.612952 0.790120i \(-0.289982\pi\)
0.998531 + 0.0541802i \(0.0172545\pi\)
\(18\) −0.805277 4.16552i −0.189806 0.981822i
\(19\) −5.60653 2.56042i −1.28623 0.587400i −0.349328 0.937001i \(-0.613590\pi\)
−0.936899 + 0.349600i \(0.886317\pi\)
\(20\) 1.48931 + 0.992575i 0.333020 + 0.221947i
\(21\) 3.54625 2.61369i 0.773856 0.570353i
\(22\) −0.470075 + 2.07741i −0.100220 + 0.442905i
\(23\) −0.578761 + 4.76078i −0.120680 + 0.992691i
\(24\) 4.03318 + 2.78090i 0.823270 + 0.567650i
\(25\) 3.53258 2.27025i 0.706516 0.454050i
\(26\) 1.60700 + 0.614680i 0.315158 + 0.120549i
\(27\) 5.05145 + 1.21774i 0.972151 + 0.234353i
\(28\) −0.807747 + 5.02234i −0.152650 + 0.949133i
\(29\) −6.02903 + 2.75337i −1.11956 + 0.511287i −0.887220 0.461347i \(-0.847366\pi\)
−0.232343 + 0.972634i \(0.574639\pi\)
\(30\) −1.86250 + 1.15583i −0.340045 + 0.211025i
\(31\) −4.18222 + 0.601313i −0.751149 + 0.107999i −0.507247 0.861801i \(-0.669337\pi\)
−0.243902 + 0.969800i \(0.578428\pi\)
\(32\) −5.57286 + 0.971175i −0.985153 + 0.171681i
\(33\) −2.07660 1.57880i −0.361490 0.274835i
\(34\) −7.24328 7.36501i −1.24221 1.26309i
\(35\) −1.91476 1.23054i −0.323653 0.207999i
\(36\) −5.14739 + 3.08291i −0.857899 + 0.513819i
\(37\) 5.30163 + 1.55670i 0.871582 + 0.255920i 0.686788 0.726858i \(-0.259020\pi\)
0.184794 + 0.982777i \(0.440838\pi\)
\(38\) −0.694255 + 8.68884i −0.112623 + 1.40952i
\(39\) −1.50110 + 1.47889i −0.240368 + 0.236812i
\(40\) 0.599678 2.45904i 0.0948174 0.388809i
\(41\) 1.90201 + 6.47765i 0.297044 + 1.01164i 0.963858 + 0.266415i \(0.0858393\pi\)
−0.666814 + 0.745224i \(0.732342\pi\)
\(42\) −5.18731 3.45057i −0.800419 0.532434i
\(43\) −5.31318 0.763921i −0.810253 0.116497i −0.275278 0.961365i \(-0.588770\pi\)
−0.534975 + 0.844868i \(0.679679\pi\)
\(44\) 2.98824 0.378932i 0.450495 0.0571261i
\(45\) −0.342423 2.66272i −0.0510454 0.396934i
\(46\) 6.60728 1.53097i 0.974190 0.225729i
\(47\) −0.483749 −0.0705620 −0.0352810 0.999377i \(-0.511233\pi\)
−0.0352810 + 0.999377i \(0.511233\pi\)
\(48\) 1.74748 6.70420i 0.252228 0.967668i
\(49\) −0.0755561 + 0.525504i −0.0107937 + 0.0750720i
\(50\) −4.72423 3.59833i −0.668107 0.508881i
\(51\) 11.8865 4.33283i 1.66445 0.606717i
\(52\) 0.0405487 2.43288i 0.00562309 0.337380i
\(53\) −4.51572 + 3.91290i −0.620282 + 0.537478i −0.907320 0.420442i \(-0.861875\pi\)
0.287037 + 0.957919i \(0.407330\pi\)
\(54\) −0.822134 7.30233i −0.111878 0.993722i
\(55\) −0.379710 + 1.29317i −0.0512001 + 0.174372i
\(56\) 7.06556 1.35300i 0.944175 0.180802i
\(57\) −9.33130 5.18591i −1.23596 0.686890i
\(58\) 6.57253 + 6.68299i 0.863015 + 0.877519i
\(59\) −0.185128 + 0.213649i −0.0241016 + 0.0278147i −0.767672 0.640842i \(-0.778585\pi\)
0.743571 + 0.668657i \(0.233131\pi\)
\(60\) 2.43613 + 1.91704i 0.314502 + 0.247489i
\(61\) 1.15091 + 8.00476i 0.147359 + 1.02490i 0.920520 + 0.390695i \(0.127765\pi\)
−0.773161 + 0.634210i \(0.781326\pi\)
\(62\) 2.81989 + 5.26814i 0.358127 + 0.669055i
\(63\) 6.47980 4.02915i 0.816378 0.507625i
\(64\) 3.98339 + 6.93777i 0.497923 + 0.867221i
\(65\) 0.990335 + 0.452271i 0.122836 + 0.0560973i
\(66\) −1.09509 + 3.52286i −0.134796 + 0.433634i
\(67\) 2.83225 + 4.40707i 0.346014 + 0.538409i 0.970024 0.243007i \(-0.0781339\pi\)
−0.624010 + 0.781416i \(0.714498\pi\)
\(68\) −6.28932 + 13.1857i −0.762692 + 1.59900i
\(69\) −1.64886 + 8.14133i −0.198499 + 0.980101i
\(70\) −0.710403 + 3.13949i −0.0849094 + 0.375241i
\(71\) −6.21490 + 3.99407i −0.737573 + 0.474009i −0.854710 0.519106i \(-0.826265\pi\)
0.117137 + 0.993116i \(0.462628\pi\)
\(72\) 6.58457 + 5.35196i 0.775999 + 0.630734i
\(73\) −1.39548 + 3.05568i −0.163329 + 0.357640i −0.973546 0.228489i \(-0.926621\pi\)
0.810218 + 0.586129i \(0.199349\pi\)
\(74\) −0.492490 7.79863i −0.0572508 0.906572i
\(75\) 6.40934 3.43801i 0.740086 0.396988i
\(76\) 11.8839 3.27534i 1.36318 0.375707i
\(77\) −3.79165 + 0.545157i −0.432099 + 0.0621264i
\(78\) 2.69089 + 1.28060i 0.304683 + 0.144999i
\(79\) −4.79347 4.15356i −0.539307 0.467312i 0.342104 0.939662i \(-0.388860\pi\)
−0.881411 + 0.472350i \(0.843406\pi\)
\(80\) −3.55810 + 0.391064i −0.397808 + 0.0437223i
\(81\) 8.55604 + 2.79181i 0.950671 + 0.310201i
\(82\) 7.69060 5.65773i 0.849285 0.624792i
\(83\) 11.1296 + 3.26795i 1.22163 + 0.358704i 0.828086 0.560601i \(-0.189430\pi\)
0.393547 + 0.919305i \(0.371248\pi\)
\(84\) −2.07992 + 8.56172i −0.226938 + 0.934160i
\(85\) −4.28054 4.94001i −0.464290 0.535819i
\(86\) 1.55177 + 7.43095i 0.167332 + 0.801300i
\(87\) −10.7858 + 3.93159i −1.15636 + 0.421511i
\(88\) −1.94744 3.78865i −0.207598 0.403871i
\(89\) 7.29656 + 1.04909i 0.773434 + 0.111203i 0.517721 0.855550i \(-0.326781\pi\)
0.255713 + 0.966753i \(0.417690\pi\)
\(90\) −3.37362 + 1.74164i −0.355611 + 0.183584i
\(91\) 3.09437i 0.324378i
\(92\) −5.22721 8.04216i −0.544974 0.838453i
\(93\) −7.30335 + 0.467676i −0.757322 + 0.0484958i
\(94\) 0.233727 + 0.642959i 0.0241071 + 0.0663162i
\(95\) −0.784954 + 5.45948i −0.0805346 + 0.560130i
\(96\) −9.75499 + 0.916578i −0.995615 + 0.0935478i
\(97\) −7.46649 + 2.19236i −0.758107 + 0.222600i −0.637869 0.770145i \(-0.720184\pi\)
−0.120238 + 0.992745i \(0.538366\pi\)
\(98\) 0.734963 0.153479i 0.0742425 0.0155037i
\(99\) −3.37020 3.00939i −0.338718 0.302455i
\(100\) −2.50005 + 8.01763i −0.250005 + 0.801763i
\(101\) 3.58738 12.2175i 0.356958 1.21569i −0.563918 0.825831i \(-0.690706\pi\)
0.920876 0.389856i \(-0.127475\pi\)
\(102\) −11.5019 13.7052i −1.13886 1.35701i
\(103\) 3.64636 5.67385i 0.359287 0.559061i −0.613811 0.789453i \(-0.710364\pi\)
0.973098 + 0.230392i \(0.0740007\pi\)
\(104\) −3.25318 + 1.12157i −0.319000 + 0.109979i
\(105\) −3.13827 2.38597i −0.306264 0.232847i
\(106\) 7.38252 + 4.11138i 0.717053 + 0.399333i
\(107\) 0.939439 + 6.53395i 0.0908190 + 0.631660i 0.983491 + 0.180954i \(0.0579186\pi\)
−0.892672 + 0.450706i \(0.851172\pi\)
\(108\) −9.30845 + 4.62090i −0.895706 + 0.444646i
\(109\) −5.11245 11.1947i −0.489684 1.07226i −0.979686 0.200537i \(-0.935731\pi\)
0.490002 0.871721i \(-0.336996\pi\)
\(110\) 1.90224 0.120128i 0.181372 0.0114538i
\(111\) 8.94177 + 3.41122i 0.848715 + 0.323778i
\(112\) −5.21208 8.73726i −0.492495 0.825593i
\(113\) 1.98229 + 3.08450i 0.186478 + 0.290165i 0.921888 0.387458i \(-0.126647\pi\)
−0.735410 + 0.677623i \(0.763010\pi\)
\(114\) −2.38419 + 14.9080i −0.223300 + 1.39626i
\(115\) 4.23368 0.703332i 0.394792 0.0655860i
\(116\) 5.70691 11.9646i 0.529873 1.11089i
\(117\) −2.79367 + 2.34876i −0.258274 + 0.217143i
\(118\) 0.373411 + 0.142831i 0.0343752 + 0.0131486i
\(119\) 7.71771 16.8994i 0.707481 1.54917i
\(120\) 1.37094 4.16414i 0.125149 0.380132i
\(121\) −3.62728 7.94264i −0.329753 0.722058i
\(122\) 10.0832 5.39727i 0.912891 0.488646i
\(123\) 2.40038 + 11.4443i 0.216435 + 1.03189i
\(124\) 5.63953 6.29332i 0.506445 0.565157i
\(125\) −6.22147 5.39093i −0.556465 0.482180i
\(126\) −8.48599 6.66571i −0.755992 0.593828i
\(127\) −11.3815 + 17.7100i −1.00995 + 1.57151i −0.204477 + 0.978871i \(0.565549\pi\)
−0.805470 + 0.592637i \(0.798087\pi\)
\(128\) 7.29651 8.64644i 0.644927 0.764244i
\(129\) −9.06989 2.04393i −0.798559 0.179958i
\(130\) 0.122633 1.53479i 0.0107556 0.134610i
\(131\) −13.0644 15.0771i −1.14144 1.31729i −0.941318 0.337520i \(-0.890412\pi\)
−0.200121 0.979771i \(-0.564134\pi\)
\(132\) 5.21141 0.246595i 0.453595 0.0214634i
\(133\) −15.0415 + 4.41659i −1.30427 + 0.382967i
\(134\) 4.48909 5.89371i 0.387798 0.509139i
\(135\) −0.227969 4.64435i −0.0196204 0.399722i
\(136\) 20.5640 + 1.98850i 1.76335 + 0.170512i
\(137\) 19.0753i 1.62971i −0.579662 0.814857i \(-0.696815\pi\)
0.579662 0.814857i \(-0.303185\pi\)
\(138\) 11.6175 1.74203i 0.988944 0.148291i
\(139\) 12.2140i 1.03598i 0.855388 + 0.517988i \(0.173319\pi\)
−0.855388 + 0.517988i \(0.826681\pi\)
\(140\) 4.51599 0.572661i 0.381671 0.0483987i
\(141\) −0.835274 0.0659991i −0.0703427 0.00555813i
\(142\) 8.31138 + 6.33057i 0.697476 + 0.531250i
\(143\) 1.75810 0.516224i 0.147019 0.0431688i
\(144\) 3.93200 11.3375i 0.327667 0.944793i
\(145\) 3.88415 + 4.48255i 0.322561 + 0.372255i
\(146\) 4.73559 + 0.378383i 0.391921 + 0.0313152i
\(147\) −0.202156 + 0.897063i −0.0166736 + 0.0739885i
\(148\) −10.1274 + 4.42255i −0.832463 + 0.363532i
\(149\) −0.114192 + 0.177686i −0.00935495 + 0.0145566i −0.845900 0.533342i \(-0.820936\pi\)
0.836545 + 0.547899i \(0.184572\pi\)
\(150\) −7.66626 6.85766i −0.625947 0.559926i
\(151\) −8.38713 7.26749i −0.682535 0.591420i 0.243025 0.970020i \(-0.421860\pi\)
−0.925560 + 0.378600i \(0.876406\pi\)
\(152\) −10.0951 14.2127i −0.818824 1.15280i
\(153\) 21.1152 5.85965i 1.70707 0.473725i
\(154\) 2.55655 + 4.77616i 0.206013 + 0.384874i
\(155\) 1.57072 + 3.43939i 0.126163 + 0.276258i
\(156\) 0.401938 4.19524i 0.0321808 0.335888i
\(157\) 1.67861 3.67565i 0.133968 0.293349i −0.830745 0.556654i \(-0.812085\pi\)
0.964713 + 0.263304i \(0.0848124\pi\)
\(158\) −3.20457 + 8.37792i −0.254942 + 0.666511i
\(159\) −8.33101 + 6.14019i −0.660692 + 0.486948i
\(160\) 2.23890 + 4.54019i 0.177000 + 0.358934i
\(161\) 6.81706 + 10.1152i 0.537259 + 0.797188i
\(162\) −0.423276 12.7209i −0.0332557 0.999447i
\(163\) −6.30664 9.81332i −0.493974 0.768639i 0.501349 0.865245i \(-0.332837\pi\)
−0.995323 + 0.0966068i \(0.969201\pi\)
\(164\) −11.2356 7.48814i −0.877352 0.584726i
\(165\) −0.832066 + 2.18108i −0.0647762 + 0.169797i
\(166\) −1.03387 16.3715i −0.0802443 1.27068i
\(167\) −8.32163 18.2218i −0.643947 1.41005i −0.896753 0.442531i \(-0.854081\pi\)
0.252806 0.967517i \(-0.418646\pi\)
\(168\) 12.3845 1.37220i 0.955483 0.105868i
\(169\) 1.63945 + 11.4026i 0.126111 + 0.877124i
\(170\) −4.49768 + 8.07616i −0.344956 + 0.619413i
\(171\) −15.4045 10.2274i −1.17801 0.782112i
\(172\) 9.12687 5.65281i 0.695917 0.431023i
\(173\) −7.98798 + 12.4295i −0.607315 + 0.945001i 0.392368 + 0.919808i \(0.371656\pi\)
−0.999683 + 0.0251920i \(0.991980\pi\)
\(174\) 10.4368 + 12.4360i 0.791212 + 0.942772i
\(175\) 3.00901 10.2478i 0.227460 0.774657i
\(176\) −4.09464 + 4.41890i −0.308645 + 0.333087i
\(177\) −0.348803 + 0.343643i −0.0262176 + 0.0258298i
\(178\) −2.13104 10.2049i −0.159728 0.764888i
\(179\) 11.7452 3.44870i 0.877878 0.257768i 0.188415 0.982089i \(-0.439665\pi\)
0.689463 + 0.724321i \(0.257847\pi\)
\(180\) 3.94484 + 3.64246i 0.294031 + 0.271493i
\(181\) −0.701366 + 4.87811i −0.0521321 + 0.362587i 0.947011 + 0.321201i \(0.104086\pi\)
−0.999143 + 0.0413861i \(0.986823\pi\)
\(182\) 4.11279 1.49507i 0.304860 0.110822i
\(183\) 0.895131 + 13.9786i 0.0661700 + 1.03333i
\(184\) −8.16342 + 10.8332i −0.601815 + 0.798635i
\(185\) 4.94462i 0.363536i
\(186\) 4.15027 + 9.48106i 0.304313 + 0.695185i
\(187\) −10.8891 1.56561i −0.796289 0.114489i
\(188\) 0.741642 0.621303i 0.0540898 0.0453132i
\(189\) 11.7382 6.07295i 0.853827 0.441742i
\(190\) 7.63555 1.59450i 0.553941 0.115677i
\(191\) 11.5586 + 13.3393i 0.836350 + 0.965200i 0.999772 0.0213564i \(-0.00679848\pi\)
−0.163421 + 0.986556i \(0.552253\pi\)
\(192\) 5.93145 + 12.5227i 0.428066 + 0.903748i
\(193\) −0.269554 0.0791481i −0.0194029 0.00569720i 0.272017 0.962293i \(-0.412309\pi\)
−0.291420 + 0.956595i \(0.594128\pi\)
\(194\) 6.52141 + 8.86460i 0.468210 + 0.636441i
\(195\) 1.64828 + 0.916036i 0.118035 + 0.0655987i
\(196\) −0.559096 0.902699i −0.0399354 0.0644785i
\(197\) −16.1860 14.0252i −1.15320 0.999255i −0.999939 0.0110696i \(-0.996476\pi\)
−0.153263 0.988185i \(-0.548978\pi\)
\(198\) −2.37149 + 5.93341i −0.168535 + 0.421669i
\(199\) 6.76489 0.972645i 0.479551 0.0689490i 0.101699 0.994815i \(-0.467572\pi\)
0.377851 + 0.925866i \(0.376663\pi\)
\(200\) 11.8643 0.550920i 0.838934 0.0389559i
\(201\) 4.28909 + 7.99596i 0.302529 + 0.563991i
\(202\) −17.9718 + 1.13493i −1.26449 + 0.0798537i
\(203\) −7.00302 + 15.3345i −0.491516 + 1.07627i
\(204\) −12.6585 + 21.9092i −0.886275 + 1.53395i
\(205\) 5.08239 3.26626i 0.354970 0.228125i
\(206\) −9.30300 2.10508i −0.648171 0.146668i
\(207\) −3.95777 + 13.8324i −0.275084 + 0.961420i
\(208\) 3.06250 + 3.78196i 0.212346 + 0.262232i
\(209\) 5.01866 + 7.80918i 0.347148 + 0.540172i
\(210\) −1.65496 + 5.32394i −0.114203 + 0.367386i
\(211\) 14.6613 + 6.69561i 1.00933 + 0.460945i 0.850282 0.526327i \(-0.176431\pi\)
0.159045 + 0.987271i \(0.449158\pi\)
\(212\) 1.89759 11.7987i 0.130327 0.810338i
\(213\) −11.2760 + 6.04853i −0.772619 + 0.414438i
\(214\) 8.23049 4.40556i 0.562625 0.301158i
\(215\) 0.683618 + 4.75467i 0.0466224 + 0.324266i
\(216\) 10.6392 + 10.1394i 0.723905 + 0.689900i
\(217\) −7.03754 + 8.12175i −0.477739 + 0.551340i
\(218\) −12.4090 + 12.2039i −0.840442 + 0.826551i
\(219\) −2.82643 + 5.08575i −0.190992 + 0.343663i
\(220\) −1.07875 2.47027i −0.0727294 0.166545i
\(221\) −2.50364 + 8.52662i −0.168413 + 0.573563i
\(222\) 0.213621 13.5328i 0.0143373 0.908265i
\(223\) 6.92303 5.99884i 0.463600 0.401712i −0.391497 0.920179i \(-0.628043\pi\)
0.855097 + 0.518467i \(0.173497\pi\)
\(224\) −9.09460 + 11.1490i −0.607658 + 0.744921i
\(225\) 11.5359 5.06187i 0.769057 0.337458i
\(226\) 3.14191 4.12500i 0.208997 0.274391i
\(227\) 3.23806 22.5212i 0.214918 1.49479i −0.541502 0.840699i \(-0.682144\pi\)
0.756420 0.654086i \(-0.226947\pi\)
\(228\) 20.9665 4.03407i 1.38854 0.267163i
\(229\) 15.4954 1.02397 0.511983 0.858995i \(-0.328911\pi\)
0.511983 + 0.858995i \(0.328911\pi\)
\(230\) −2.98035 5.28724i −0.196518 0.348630i
\(231\) −6.62131 + 0.424001i −0.435650 + 0.0278972i
\(232\) −18.6597 1.80435i −1.22507 0.118462i
\(233\) 14.5695 + 2.09478i 0.954479 + 0.137233i 0.601920 0.798556i \(-0.294403\pi\)
0.352559 + 0.935790i \(0.385312\pi\)
\(234\) 4.47156 + 2.57829i 0.292315 + 0.168548i
\(235\) 0.121961 + 0.415362i 0.00795588 + 0.0270952i
\(236\) 0.00942212 0.565317i 0.000613328 0.0367990i
\(237\) −7.71005 7.82581i −0.500821 0.508341i
\(238\) −26.1902 2.09265i −1.69766 0.135646i
\(239\) 4.90891 + 1.44139i 0.317531 + 0.0932355i 0.436614 0.899649i \(-0.356177\pi\)
−0.119083 + 0.992884i \(0.537996\pi\)
\(240\) −6.19701 + 0.189797i −0.400016 + 0.0122514i
\(241\) −1.20704 0.775718i −0.0777523 0.0499684i 0.501187 0.865339i \(-0.332897\pi\)
−0.578939 + 0.815371i \(0.696533\pi\)
\(242\) −8.80416 + 8.65864i −0.565953 + 0.556599i
\(243\) 14.3926 + 5.98786i 0.923283 + 0.384121i
\(244\) −12.0454 10.7940i −0.771128 0.691018i
\(245\) 0.470264 0.0676137i 0.0300441 0.00431968i
\(246\) 14.0510 8.71978i 0.895860 0.555953i
\(247\) 6.82095 3.11503i 0.434007 0.198204i
\(248\) −11.0894 4.45494i −0.704175 0.282889i
\(249\) 18.7713 + 7.16110i 1.18958 + 0.453817i
\(250\) −4.15923 + 10.8737i −0.263053 + 0.687716i
\(251\) −15.1964 + 9.76612i −0.959187 + 0.616432i −0.923773 0.382941i \(-0.874911\pi\)
−0.0354141 + 0.999373i \(0.511275\pi\)
\(252\) −4.75944 + 14.4995i −0.299816 + 0.913382i
\(253\) 4.60977 5.56066i 0.289814 0.349595i
\(254\) 29.0378 + 6.57066i 1.82199 + 0.412280i
\(255\) −6.71710 9.11377i −0.420641 0.570726i
\(256\) −15.0175 5.52033i −0.938595 0.345021i
\(257\) 1.35868 + 0.620488i 0.0847520 + 0.0387050i 0.457340 0.889292i \(-0.348802\pi\)
−0.372588 + 0.927997i \(0.621530\pi\)
\(258\) 1.66557 + 13.0425i 0.103694 + 0.811991i
\(259\) 12.7836 5.83810i 0.794337 0.362762i
\(260\) −2.09917 + 0.578554i −0.130185 + 0.0358804i
\(261\) −19.1599 + 5.31703i −1.18597 + 0.329116i
\(262\) −13.7271 + 24.6487i −0.848062 + 1.52280i
\(263\) 17.6809 20.4048i 1.09025 1.25822i 0.126341 0.991987i \(-0.459677\pi\)
0.963910 0.266229i \(-0.0857778\pi\)
\(264\) −2.84569 6.80744i −0.175140 0.418969i
\(265\) 4.49823 + 2.89084i 0.276324 + 0.177583i
\(266\) 13.1376 + 17.8581i 0.805520 + 1.09495i
\(267\) 12.4556 + 2.80692i 0.762271 + 0.171780i
\(268\) −10.0024 3.11894i −0.610993 0.190520i
\(269\) −19.9009 + 17.2443i −1.21338 + 1.05140i −0.216202 + 0.976349i \(0.569367\pi\)
−0.997180 + 0.0750520i \(0.976088\pi\)
\(270\) −6.06275 + 2.54696i −0.368967 + 0.155003i
\(271\) 0.989518 + 3.36999i 0.0601089 + 0.204712i 0.984072 0.177769i \(-0.0568879\pi\)
−0.923963 + 0.382481i \(0.875070\pi\)
\(272\) −7.29275 28.2928i −0.442188 1.71550i
\(273\) −0.422174 + 5.34296i −0.0255511 + 0.323370i
\(274\) −25.3534 + 9.21641i −1.53165 + 0.556783i
\(275\) −6.32434 −0.381372
\(276\) −7.92844 14.5993i −0.477236 0.878775i
\(277\) 23.2924 1.39950 0.699752 0.714386i \(-0.253294\pi\)
0.699752 + 0.714386i \(0.253294\pi\)
\(278\) 16.2338 5.90129i 0.973641 0.353936i
\(279\) −12.6743 0.188894i −0.758789 0.0113088i
\(280\) −2.94308 5.72560i −0.175882 0.342170i
\(281\) −4.53568 15.4471i −0.270576 0.921498i −0.976916 0.213625i \(-0.931473\pi\)
0.706340 0.707873i \(-0.250345\pi\)
\(282\) 0.315849 + 1.14207i 0.0188085 + 0.0680091i
\(283\) 20.0340 17.3595i 1.19090 1.03192i 0.192174 0.981361i \(-0.438446\pi\)
0.998721 0.0505561i \(-0.0160994\pi\)
\(284\) 4.39837 14.1055i 0.260995 0.837007i
\(285\) −2.10021 + 9.31962i −0.124406 + 0.552046i
\(286\) −1.53556 2.08730i −0.0907997 0.123425i
\(287\) 14.4452 + 9.28339i 0.852675 + 0.547981i
\(288\) −16.9687 + 0.251726i −0.999890 + 0.0148331i
\(289\) 23.8070 27.4747i 1.40041 1.61616i
\(290\) 4.08118 7.32828i 0.239655 0.430332i
\(291\) −13.1913 + 2.76681i −0.773286 + 0.162193i
\(292\) −1.78513 6.47699i −0.104467 0.379037i
\(293\) 2.87530 1.31311i 0.167977 0.0767125i −0.329652 0.944103i \(-0.606931\pi\)
0.497629 + 0.867390i \(0.334204\pi\)
\(294\) 1.28998 0.164734i 0.0752330 0.00960749i
\(295\) 0.230120 + 0.105092i 0.0133981 + 0.00611870i
\(296\) 10.7712 + 11.3237i 0.626064 + 0.658174i
\(297\) −5.40864 5.65602i −0.313841 0.328196i
\(298\) 0.291338 + 0.0659240i 0.0168768 + 0.00381887i
\(299\) −3.91620 4.32510i −0.226480 0.250127i
\(300\) −5.41063 + 13.5027i −0.312383 + 0.779579i
\(301\) −11.4854 + 7.38123i −0.662008 + 0.425447i
\(302\) −5.60705 + 14.6588i −0.322649 + 0.843522i
\(303\) 7.86109 20.6062i 0.451608 1.18379i
\(304\) −14.0128 + 20.2846i −0.803687 + 1.16340i
\(305\) 6.58298 3.00635i 0.376940 0.172143i
\(306\) −17.9902 25.2335i −1.02843 1.44250i
\(307\) −23.9785 + 3.44759i −1.36853 + 0.196764i −0.787095 0.616832i \(-0.788416\pi\)
−0.581431 + 0.813596i \(0.697507\pi\)
\(308\) 5.11287 5.70560i 0.291333 0.325107i
\(309\) 7.07016 9.29938i 0.402207 0.529023i
\(310\) 3.81245 3.74944i 0.216533 0.212954i
\(311\) 29.4574 + 18.9311i 1.67038 + 1.07349i 0.899992 + 0.435906i \(0.143572\pi\)
0.770384 + 0.637580i \(0.220064\pi\)
\(312\) −5.77018 + 1.49274i −0.326672 + 0.0845100i
\(313\) −14.9268 4.38289i −0.843711 0.247736i −0.168814 0.985648i \(-0.553994\pi\)
−0.674897 + 0.737912i \(0.735812\pi\)
\(314\) −5.69642 0.455155i −0.321468 0.0256859i
\(315\) −5.09323 4.54795i −0.286971 0.256248i
\(316\) 12.6836 + 0.211397i 0.713506 + 0.0118920i
\(317\) 3.54627 + 12.0775i 0.199179 + 0.678340i 0.997136 + 0.0756264i \(0.0240957\pi\)
−0.797958 + 0.602714i \(0.794086\pi\)
\(318\) 12.1862 + 8.10622i 0.683370 + 0.454574i
\(319\) 9.88072 + 1.42063i 0.553214 + 0.0795402i
\(320\) 4.95271 5.16939i 0.276865 0.288978i
\(321\) 0.730657 + 11.4101i 0.0407813 + 0.636851i
\(322\) 10.1506 13.9479i 0.565668 0.777287i
\(323\) −45.0208 −2.50502
\(324\) −16.7031 + 6.70879i −0.927948 + 0.372711i
\(325\) −0.727053 + 5.05677i −0.0403297 + 0.280499i
\(326\) −9.99597 + 13.1237i −0.553625 + 0.726853i
\(327\) −7.30019 20.0271i −0.403701 1.10750i
\(328\) −4.52406 + 18.5514i −0.249800 + 1.02433i
\(329\) −0.929864 + 0.805731i −0.0512650 + 0.0444214i
\(330\) 3.30094 + 0.0521064i 0.181711 + 0.00286836i
\(331\) −3.55143 + 12.0950i −0.195204 + 0.664804i 0.802473 + 0.596688i \(0.203517\pi\)
−0.997677 + 0.0681159i \(0.978301\pi\)
\(332\) −21.2602 + 9.28418i −1.16680 + 0.509536i
\(333\) 14.9741 + 7.10999i 0.820574 + 0.389625i
\(334\) −20.1983 + 19.8645i −1.10520 + 1.08694i
\(335\) 3.06999 3.54296i 0.167732 0.193573i
\(336\) −7.80749 15.7975i −0.425934 0.861822i
\(337\) −0.974611 6.77857i −0.0530905 0.369252i −0.998996 0.0448089i \(-0.985732\pi\)
0.945905 0.324443i \(-0.105177\pi\)
\(338\) 14.3633 7.68829i 0.781261 0.418188i
\(339\) 3.00193 + 5.59636i 0.163042 + 0.303952i
\(340\) 12.9073 + 2.07589i 0.699995 + 0.112581i
\(341\) 5.78850 + 2.64352i 0.313465 + 0.143155i
\(342\) −6.15065 + 25.4160i −0.332589 + 1.37434i
\(343\) 10.3557 + 16.1137i 0.559153 + 0.870059i
\(344\) −11.9230 9.39949i −0.642844 0.506786i
\(345\) 7.40612 0.636809i 0.398732 0.0342846i
\(346\) 20.3798 + 4.61154i 1.09563 + 0.247918i
\(347\) −23.6115 + 15.1742i −1.26753 + 0.814593i −0.989296 0.145920i \(-0.953386\pi\)
−0.278235 + 0.960513i \(0.589749\pi\)
\(348\) 11.4863 19.8803i 0.615731 1.06570i
\(349\) 10.2308 22.4024i 0.547645 1.19917i −0.410229 0.911983i \(-0.634551\pi\)
0.957873 0.287192i \(-0.0927216\pi\)
\(350\) −15.0743 + 0.951956i −0.805756 + 0.0508842i
\(351\) −5.14418 + 3.67438i −0.274576 + 0.196124i
\(352\) 7.85161 + 3.30724i 0.418492 + 0.176276i
\(353\) −7.08525 + 1.01870i −0.377110 + 0.0542202i −0.328264 0.944586i \(-0.606463\pi\)
−0.0488460 + 0.998806i \(0.515554\pi\)
\(354\) 0.625270 + 0.297566i 0.0332327 + 0.0158155i
\(355\) 4.99632 + 4.32934i 0.265177 + 0.229778i
\(356\) −12.5339 + 7.76297i −0.664294 + 0.411437i
\(357\) 15.6316 28.1268i 0.827310 1.48863i
\(358\) −10.2585 13.9445i −0.542181 0.736990i
\(359\) 15.8738 + 4.66096i 0.837786 + 0.245996i 0.672358 0.740226i \(-0.265281\pi\)
0.165428 + 0.986222i \(0.447100\pi\)
\(360\) 2.93528 7.00304i 0.154703 0.369093i
\(361\) 12.4351 + 14.3509i 0.654480 + 0.755310i
\(362\) 6.82246 1.42470i 0.358580 0.0748806i
\(363\) −5.17948 14.2092i −0.271852 0.745789i
\(364\) −3.97426 4.74403i −0.208308 0.248655i
\(365\) 2.97553 + 0.427816i 0.155746 + 0.0223929i
\(366\) 18.1467 7.94362i 0.948545 0.415219i
\(367\) 0.0283362i 0.00147914i −1.00000 0.000739568i \(-0.999765\pi\)
1.00000 0.000739568i \(-0.000235412\pi\)
\(368\) 18.3429 + 5.61599i 0.956188 + 0.292754i
\(369\) 2.58329 + 20.0879i 0.134481 + 1.04574i
\(370\) −6.57199 + 2.38904i −0.341661 + 0.124200i
\(371\) −2.16282 + 15.0428i −0.112288 + 0.780982i
\(372\) 10.5962 10.0971i 0.549388 0.523509i
\(373\) −16.2386 + 4.76807i −0.840801 + 0.246882i −0.673651 0.739050i \(-0.735275\pi\)
−0.167151 + 0.985931i \(0.553457\pi\)
\(374\) 3.18027 + 15.2293i 0.164448 + 0.787490i
\(375\) −10.0069 10.1572i −0.516755 0.524514i
\(376\) −1.18412 0.685543i −0.0610661 0.0353542i
\(377\) 2.27180 7.73703i 0.117003 0.398477i
\(378\) −13.7431 12.6672i −0.706868 0.651532i
\(379\) 9.71366 15.1148i 0.498957 0.776393i −0.496853 0.867835i \(-0.665511\pi\)
0.995810 + 0.0914418i \(0.0291476\pi\)
\(380\) −5.80846 9.37816i −0.297968 0.481090i
\(381\) −22.0683 + 29.0265i −1.13060 + 1.48707i
\(382\) 12.1449 21.8078i 0.621388 1.11578i
\(383\) 0.754662 + 5.24879i 0.0385614 + 0.268201i 0.999976 0.00690243i \(-0.00219713\pi\)
−0.961415 + 0.275103i \(0.911288\pi\)
\(384\) 13.7783 13.9341i 0.703122 0.711069i
\(385\) 1.42403 + 3.11819i 0.0725753 + 0.158918i
\(386\) 0.0250399 + 0.396510i 0.00127450 + 0.0201818i
\(387\) −15.3818 4.76662i −0.781903 0.242301i
\(388\) 8.63123 12.9507i 0.438184 0.657474i
\(389\) −4.03413 6.27723i −0.204539 0.318268i 0.723796 0.690014i \(-0.242396\pi\)
−0.928335 + 0.371746i \(0.878759\pi\)
\(390\) 0.421142 2.63335i 0.0213254 0.133345i
\(391\) 10.6004 + 33.3883i 0.536087 + 1.68852i
\(392\) −0.929663 + 1.17925i −0.0469550 + 0.0595612i
\(393\) −20.5008 27.8156i −1.03413 1.40311i
\(394\) −10.8208 + 28.2895i −0.545144 + 1.42520i
\(395\) −2.35787 + 5.16301i −0.118637 + 0.259779i
\(396\) 9.03202 + 0.285218i 0.453876 + 0.0143328i
\(397\) 3.95821 + 8.66727i 0.198657 + 0.434998i 0.982575 0.185866i \(-0.0595091\pi\)
−0.783918 + 0.620864i \(0.786782\pi\)
\(398\) −4.56128 8.52141i −0.228636 0.427140i
\(399\) −26.5743 + 5.57384i −1.33038 + 0.279041i
\(400\) −6.46458 15.5029i −0.323229 0.775145i
\(401\) 11.1679 + 9.67704i 0.557699 + 0.483249i 0.887504 0.460800i \(-0.152438\pi\)
−0.329805 + 0.944049i \(0.606983\pi\)
\(402\) 8.55527 9.56403i 0.426698 0.477010i
\(403\) 2.77914 4.32442i 0.138439 0.215415i
\(404\) 10.1917 + 23.3383i 0.507056 + 1.16112i
\(405\) 0.240014 8.05035i 0.0119264 0.400025i
\(406\) 23.7649 + 1.89886i 1.17943 + 0.0942390i
\(407\) −5.44962 6.28920i −0.270128 0.311744i
\(408\) 35.2360 + 6.23908i 1.74444 + 0.308881i
\(409\) 16.1986 4.75634i 0.800970 0.235186i 0.144467 0.989510i \(-0.453853\pi\)
0.656503 + 0.754324i \(0.272035\pi\)
\(410\) −6.79685 5.17699i −0.335672 0.255673i
\(411\) 2.60250 32.9368i 0.128372 1.62465i
\(412\) 1.69692 + 13.3819i 0.0836014 + 0.659278i
\(413\) 0.719025i 0.0353809i
\(414\) 20.2972 1.42291i 0.997552 0.0699321i
\(415\) 10.3801i 0.509541i
\(416\) 3.54700 5.89772i 0.173906 0.289160i
\(417\) −1.66639 + 21.0895i −0.0816033 + 1.03276i
\(418\) 7.95453 10.4435i 0.389069 0.510807i
\(419\) 7.24752 2.12806i 0.354064 0.103963i −0.0998634 0.995001i \(-0.531841\pi\)
0.453928 + 0.891038i \(0.350022\pi\)
\(420\) 7.87575 0.372668i 0.384297 0.0181843i
\(421\) −10.1793 11.7476i −0.496111 0.572543i 0.451377 0.892333i \(-0.350933\pi\)
−0.947488 + 0.319791i \(0.896387\pi\)
\(422\) 1.81551 22.7217i 0.0883775 1.10608i
\(423\) −1.43324 0.227917i −0.0696864 0.0110817i
\(424\) −16.5987 + 3.17852i −0.806105 + 0.154362i
\(425\) 16.5828 25.8034i 0.804385 1.25165i
\(426\) 13.4873 + 12.0647i 0.653462 + 0.584539i
\(427\) 15.5450 + 13.4698i 0.752276 + 0.651851i
\(428\) −9.83215 8.81072i −0.475255 0.425882i
\(429\) 3.10608 0.651485i 0.149963 0.0314540i
\(430\) 5.98923 3.20587i 0.288826 0.154601i
\(431\) −12.5112 27.3957i −0.602643 1.31960i −0.927494 0.373839i \(-0.878041\pi\)
0.324851 0.945765i \(-0.394686\pi\)
\(432\) 8.33607 19.0397i 0.401069 0.916048i
\(433\) −11.8115 + 25.8636i −0.567624 + 1.24292i 0.380429 + 0.924810i \(0.375777\pi\)
−0.948053 + 0.318113i \(0.896951\pi\)
\(434\) 14.1950 + 5.42963i 0.681383 + 0.260631i
\(435\) 6.09508 + 8.26980i 0.292237 + 0.396507i
\(436\) 22.2159 + 10.5966i 1.06395 + 0.507485i
\(437\) 15.4344 25.2096i 0.738329 1.20594i
\(438\) 8.12518 + 1.29943i 0.388236 + 0.0620893i
\(439\) −1.88020 2.92565i −0.0897370 0.139634i 0.793483 0.608593i \(-0.208266\pi\)
−0.883220 + 0.468959i \(0.844629\pi\)
\(440\) −2.76207 + 2.62732i −0.131677 + 0.125253i
\(441\) −0.471446 + 1.52135i −0.0224498 + 0.0724453i
\(442\) 12.5426 0.792073i 0.596589 0.0376751i
\(443\) −9.42060 20.6282i −0.447586 0.980077i −0.990143 0.140058i \(-0.955271\pi\)
0.542557 0.840019i \(-0.317456\pi\)
\(444\) −18.0900 + 6.25458i −0.858512 + 0.296829i
\(445\) −0.938808 6.52956i −0.0445038 0.309531i
\(446\) −11.3181 6.30314i −0.535927 0.298462i
\(447\) −0.221413 + 0.291225i −0.0104725 + 0.0137745i
\(448\) 19.2124 + 6.70108i 0.907702 + 0.316596i
\(449\) −0.151898 + 0.236358i −0.00716852 + 0.0111544i −0.844819 0.535052i \(-0.820292\pi\)
0.837651 + 0.546206i \(0.183928\pi\)
\(450\) −12.3015 12.8868i −0.579897 0.607492i
\(451\) 2.86459 9.75591i 0.134888 0.459388i
\(452\) −7.00065 2.18294i −0.329283 0.102677i
\(453\) −13.4903 13.6928i −0.633829 0.643345i
\(454\) −31.4979 + 6.57755i −1.47827 + 0.308700i
\(455\) 2.65693 0.780144i 0.124559 0.0365737i
\(456\) −15.4919 25.9179i −0.725475 1.21372i
\(457\) 4.82992 33.5929i 0.225934 1.57141i −0.489043 0.872260i \(-0.662654\pi\)
0.714977 0.699148i \(-0.246437\pi\)
\(458\) −7.48675 20.5953i −0.349833 0.962354i
\(459\) 37.2585 7.23687i 1.73908 0.337788i
\(460\) −5.58739 + 6.51581i −0.260513 + 0.303801i
\(461\) 14.0254i 0.653227i 0.945158 + 0.326614i \(0.105908\pi\)
−0.945158 + 0.326614i \(0.894092\pi\)
\(462\) 3.76269 + 8.59565i 0.175056 + 0.399906i
\(463\) 7.89428 + 1.13503i 0.366878 + 0.0527491i 0.323289 0.946300i \(-0.395212\pi\)
0.0435896 + 0.999050i \(0.486121\pi\)
\(464\) 6.61742 + 25.6728i 0.307206 + 1.19183i
\(465\) 2.24286 + 6.15298i 0.104010 + 0.285338i
\(466\) −4.25517 20.3767i −0.197117 0.943932i
\(467\) −10.6309 12.2687i −0.491937 0.567726i 0.454445 0.890775i \(-0.349838\pi\)
−0.946382 + 0.323049i \(0.895292\pi\)
\(468\) 1.26638 7.18896i 0.0585386 0.332310i
\(469\) 12.7846 + 3.75389i 0.590337 + 0.173339i
\(470\) 0.493139 0.362787i 0.0227468 0.0167341i
\(471\) 3.39989 6.11762i 0.156659 0.281885i
\(472\) −0.755926 + 0.260615i −0.0347943 + 0.0119958i
\(473\) 6.10979 + 5.29416i 0.280928 + 0.243426i
\(474\) −6.67626 + 14.0287i −0.306651 + 0.644359i
\(475\) −25.6183 + 3.68336i −1.17545 + 0.169004i
\(476\) 9.87266 + 35.8210i 0.452512 + 1.64185i
\(477\) −15.2226 + 9.46545i −0.696996 + 0.433393i
\(478\) −0.456009 7.22095i −0.0208574 0.330278i
\(479\) −15.9635 + 34.9552i −0.729392 + 1.59715i 0.0708636 + 0.997486i \(0.477424\pi\)
−0.800255 + 0.599659i \(0.795303\pi\)
\(480\) 3.24640 + 8.14487i 0.148177 + 0.371761i
\(481\) −5.65516 + 3.63435i −0.257853 + 0.165712i
\(482\) −0.447829 + 1.97910i −0.0203981 + 0.0901453i
\(483\) 10.3908 + 18.3956i 0.472796 + 0.837030i
\(484\) 15.7622 + 7.51828i 0.716462 + 0.341740i
\(485\) 3.76486 + 5.85824i 0.170954 + 0.266009i
\(486\) 1.00469 22.0225i 0.0455735 0.998961i
\(487\) −10.0628 4.59553i −0.455989 0.208243i 0.174160 0.984717i \(-0.444279\pi\)
−0.630149 + 0.776474i \(0.717006\pi\)
\(488\) −8.52674 + 21.2250i −0.385987 + 0.960811i
\(489\) −9.55062 17.8048i −0.431894 0.805160i
\(490\) −0.317079 0.592368i −0.0143242 0.0267605i
\(491\) 2.11883 + 14.7368i 0.0956212 + 0.665060i 0.980104 + 0.198487i \(0.0636026\pi\)
−0.884482 + 0.466574i \(0.845488\pi\)
\(492\) −18.3785 14.4624i −0.828567 0.652017i
\(493\) −31.7041 + 36.5885i −1.42788 + 1.64786i
\(494\) −7.43584 7.56081i −0.334554 0.340177i
\(495\) −1.73427 + 3.65248i −0.0779498 + 0.164167i
\(496\) −0.563217 + 16.8915i −0.0252892 + 0.758452i
\(497\) −5.29378 + 18.0290i −0.237459 + 0.808710i
\(498\) 0.448449 28.4092i 0.0200955 1.27305i
\(499\) 8.61943 7.46878i 0.385859 0.334348i −0.440234 0.897883i \(-0.645104\pi\)
0.826092 + 0.563535i \(0.190559\pi\)
\(500\) 16.4621 + 0.274373i 0.736206 + 0.0122703i
\(501\) −11.8826 32.5984i −0.530878 1.45639i
\(502\) 20.3226 + 15.4792i 0.907042 + 0.690871i
\(503\) 3.35735 23.3509i 0.149697 1.04117i −0.767019 0.641625i \(-0.778261\pi\)
0.916716 0.399541i \(-0.130830\pi\)
\(504\) 21.5711 0.679694i 0.960853 0.0302760i
\(505\) −11.3948 −0.507061
\(506\) −9.61802 3.44025i −0.427573 0.152938i
\(507\) 1.27509 + 19.9122i 0.0566289 + 0.884332i
\(508\) −5.29666 41.7693i −0.235001 1.85321i
\(509\) −3.51588 0.505508i −0.155839 0.0224062i 0.0639538 0.997953i \(-0.479629\pi\)
−0.219793 + 0.975547i \(0.570538\pi\)
\(510\) −8.86786 + 13.3312i −0.392675 + 0.590317i
\(511\) 2.40713 + 8.19794i 0.106485 + 0.362656i
\(512\) −0.0813357 + 22.6273i −0.00359456 + 0.999994i
\(513\) −25.2032 19.7611i −1.11275 0.872474i
\(514\) 0.168245 2.10564i 0.00742096 0.0928758i
\(515\) −5.79106 1.70041i −0.255185 0.0749290i
\(516\) 16.5303 8.51534i 0.727706 0.374867i
\(517\) 0.612910 + 0.393893i 0.0269557 + 0.0173234i
\(518\) −13.9361 14.1703i −0.612315 0.622606i
\(519\) −15.4884 + 20.3719i −0.679865 + 0.894226i
\(520\) 1.78320 + 2.51052i 0.0781985 + 0.110093i
\(521\) −32.8173 + 4.71842i −1.43775 + 0.206718i −0.816705 0.577056i \(-0.804202\pi\)
−0.621047 + 0.783773i \(0.713292\pi\)
\(522\) 16.3242 + 22.8968i 0.714492 + 1.00217i
\(523\) −6.44512 + 2.94339i −0.281826 + 0.128705i −0.551313 0.834298i \(-0.685873\pi\)
0.269487 + 0.963004i \(0.413146\pi\)
\(524\) 39.3935 + 6.33568i 1.72091 + 0.276775i
\(525\) 6.59370 17.2840i 0.287773 0.754334i
\(526\) −35.6631 13.6412i −1.55499 0.594786i
\(527\) −25.9634 + 16.6857i −1.13098 + 0.726839i
\(528\) −7.67297 + 7.07133i −0.333923 + 0.307740i
\(529\) −22.3301 5.51071i −0.970873 0.239596i
\(530\) 1.66891 7.37542i 0.0724927 0.320368i
\(531\) −0.649152 + 0.545770i −0.0281708 + 0.0236844i
\(532\) 17.3880 26.0898i 0.753863 1.13113i
\(533\) −7.47124 3.41200i −0.323615 0.147790i
\(534\) −2.28731 17.9112i −0.0989818 0.775093i
\(535\) 5.37341 2.45395i 0.232313 0.106094i
\(536\) 0.687299 + 14.8013i 0.0296868 + 0.639319i
\(537\) 20.7506 4.35234i 0.895455 0.187817i
\(538\) 32.5350 + 18.1190i 1.40268 + 0.781165i
\(539\) 0.523622 0.604292i 0.0225540 0.0260287i
\(540\) 6.31448 + 6.82753i 0.271732 + 0.293810i
\(541\) −23.8046 15.2983i −1.02344 0.657724i −0.0826016 0.996583i \(-0.526323\pi\)
−0.940837 + 0.338858i \(0.889959\pi\)
\(542\) 4.00102 2.94343i 0.171859 0.126431i
\(543\) −1.87656 + 8.32719i −0.0805309 + 0.357354i
\(544\) −34.0810 + 23.3629i −1.46121 + 1.00167i
\(545\) −8.32320 + 7.21209i −0.356527 + 0.308932i
\(546\) 7.30540 2.02038i 0.312642 0.0864641i
\(547\) 1.19561 + 4.07189i 0.0511207 + 0.174101i 0.981096 0.193520i \(-0.0619904\pi\)
−0.929976 + 0.367621i \(0.880172\pi\)
\(548\) 24.4994 + 29.2447i 1.04656 + 1.24927i
\(549\) −0.361543 + 24.2585i −0.0154303 + 1.03533i
\(550\) 3.05566 + 8.40580i 0.130294 + 0.358425i
\(551\) 40.8517 1.74034
\(552\) −15.5735 + 17.5916i −0.662853 + 0.748749i
\(553\) −16.1322 −0.686011
\(554\) −11.2539 30.9583i −0.478133 1.31529i
\(555\) 0.674608 8.53772i 0.0286355 0.362406i
\(556\) −15.6870 18.7254i −0.665279 0.794136i
\(557\) 5.26734 + 17.9389i 0.223184 + 0.760096i 0.992609 + 0.121358i \(0.0387249\pi\)
−0.769424 + 0.638738i \(0.779457\pi\)
\(558\) 5.87262 + 16.9369i 0.248608 + 0.716996i
\(559\) 4.93545 4.27659i 0.208747 0.180881i
\(560\) −6.18804 + 6.67807i −0.261492 + 0.282200i
\(561\) −18.5882 4.18893i −0.784796 0.176857i
\(562\) −18.3396 + 13.4919i −0.773609 + 0.569120i
\(563\) 27.1735 + 17.4633i 1.14523 + 0.735991i 0.968683 0.248302i \(-0.0798724\pi\)
0.176542 + 0.984293i \(0.443509\pi\)
\(564\) 1.36534 0.971600i 0.0574911 0.0409118i
\(565\) 2.14868 2.47971i 0.0903957 0.104322i
\(566\) −32.7525 18.2401i −1.37669 0.766689i
\(567\) 21.0965 8.88450i 0.885969 0.373114i
\(568\) −20.8730 + 0.969238i −0.875811 + 0.0406683i
\(569\) −0.615380 + 0.281035i −0.0257981 + 0.0117816i −0.428272 0.903650i \(-0.640878\pi\)
0.402474 + 0.915431i \(0.368150\pi\)
\(570\) 13.4016 1.71143i 0.561332 0.0716838i
\(571\) 32.8804 + 15.0160i 1.37600 + 0.628399i 0.959752 0.280851i \(-0.0906165\pi\)
0.416251 + 0.909250i \(0.363344\pi\)
\(572\) −2.03235 + 3.04944i −0.0849769 + 0.127504i
\(573\) 18.1379 + 24.6096i 0.757724 + 1.02808i
\(574\) 5.35939 23.6848i 0.223697 0.988584i
\(575\) 8.76365 + 18.1318i 0.365470 + 0.756147i
\(576\) 8.53315 + 22.4318i 0.355548 + 0.934658i
\(577\) −25.1184 + 16.1426i −1.04569 + 0.672026i −0.946388 0.323031i \(-0.895298\pi\)
−0.0993047 + 0.995057i \(0.531662\pi\)
\(578\) −48.0197 18.3677i −1.99736 0.763994i
\(579\) −0.454631 0.173438i −0.0188938 0.00720786i
\(580\) −11.7120 1.88365i −0.486315 0.0782144i
\(581\) 26.8365 12.2558i 1.11336 0.508456i
\(582\) 10.0509 + 16.1960i 0.416623 + 0.671344i
\(583\) 8.90751 1.28071i 0.368911 0.0530414i
\(584\) −7.74619 + 5.50206i −0.320540 + 0.227677i
\(585\) 2.72105 + 1.80657i 0.112502 + 0.0746925i
\(586\) −3.13450 3.18718i −0.129485 0.131661i
\(587\) 12.8654 + 8.26810i 0.531013 + 0.341261i 0.778515 0.627626i \(-0.215973\pi\)
−0.247502 + 0.968887i \(0.579610\pi\)
\(588\) −0.842215 1.63494i −0.0347324 0.0674238i
\(589\) 24.9874 + 7.33695i 1.02959 + 0.302314i
\(590\) 0.0284956 0.356633i 0.00117315 0.0146823i
\(591\) −26.0343 26.4252i −1.07091 1.08699i
\(592\) 9.84629 19.7874i 0.404680 0.813255i
\(593\) 4.46501 + 15.2064i 0.183356 + 0.624453i 0.998949 + 0.0458275i \(0.0145925\pi\)
−0.815593 + 0.578625i \(0.803589\pi\)
\(594\) −4.90430 + 9.92149i −0.201226 + 0.407084i
\(595\) −16.4562 2.36604i −0.674637 0.0969981i
\(596\) −0.0531418 0.419075i −0.00217677 0.0171660i
\(597\) 11.8134 0.756483i 0.483492 0.0309608i
\(598\) −3.85643 + 7.29481i −0.157701 + 0.298307i
\(599\) −27.9464 −1.14186 −0.570929 0.821000i \(-0.693417\pi\)
−0.570929 + 0.821000i \(0.693417\pi\)
\(600\) 20.5609 + 0.667424i 0.839395 + 0.0272475i
\(601\) 2.97472 20.6896i 0.121341 0.843948i −0.834698 0.550709i \(-0.814358\pi\)
0.956039 0.293240i \(-0.0947334\pi\)
\(602\) 15.3598 + 11.6992i 0.626019 + 0.476823i
\(603\) 6.31493 + 14.3915i 0.257164 + 0.586069i
\(604\) 22.1924 + 0.369881i 0.902998 + 0.0150502i
\(605\) −5.90530 + 5.11698i −0.240085 + 0.208035i
\(606\) −31.1862 0.492285i −1.26685 0.0199977i
\(607\) 5.93201 20.2026i 0.240773 0.819997i −0.747097 0.664715i \(-0.768553\pi\)
0.987870 0.155282i \(-0.0496287\pi\)
\(608\) 33.7311 + 8.82393i 1.36798 + 0.357858i
\(609\) −14.1840 + 25.5221i −0.574766 + 1.03421i
\(610\) −7.17642 7.29703i −0.290565 0.295448i
\(611\) 0.385407 0.444783i 0.0155919 0.0179940i
\(612\) −24.8462 + 36.1029i −1.00435 + 1.45937i
\(613\) −1.52458 10.6037i −0.0615772 0.428279i −0.997169 0.0751948i \(-0.976042\pi\)
0.935592 0.353084i \(-0.114867\pi\)
\(614\) 16.1677 + 30.2046i 0.652475 + 1.21896i
\(615\) 9.22124 4.94634i 0.371836 0.199456i
\(616\) −10.0538 4.03890i −0.405077 0.162732i
\(617\) −33.9727 15.5148i −1.36769 0.624603i −0.409915 0.912124i \(-0.634442\pi\)
−0.957774 + 0.287521i \(0.907169\pi\)
\(618\) −15.7760 4.90401i −0.634604 0.197268i
\(619\) −3.57908 5.56916i −0.143856 0.223844i 0.761847 0.647757i \(-0.224293\pi\)
−0.905703 + 0.423913i \(0.860656\pi\)
\(620\) −6.82547 3.25563i −0.274118 0.130749i
\(621\) −8.72096 + 23.3441i −0.349960 + 0.936765i
\(622\) 10.9291 48.2991i 0.438218 1.93662i
\(623\) 15.7728 10.1366i 0.631926 0.406114i
\(624\) 4.77195 + 6.94802i 0.191031 + 0.278144i
\(625\) 5.66174 12.3975i 0.226470 0.495899i
\(626\) 1.38661 + 21.9571i 0.0554200 + 0.877582i
\(627\) 7.60013 + 14.1686i 0.303520 + 0.565839i
\(628\) 2.14732 + 7.79113i 0.0856874 + 0.310900i
\(629\) 39.9493 5.74384i 1.59288 0.229022i
\(630\) −3.58393 + 8.96688i −0.142787 + 0.357249i
\(631\) −27.9037 24.1787i −1.11083 0.962538i −0.111317 0.993785i \(-0.535507\pi\)
−0.999512 + 0.0312466i \(0.990052\pi\)
\(632\) −5.84721 16.9601i −0.232589 0.674637i
\(633\) 24.4018 + 13.5614i 0.969883 + 0.539017i
\(634\) 14.3390 10.5488i 0.569475 0.418945i
\(635\) 18.0759 + 5.30755i 0.717318 + 0.210624i
\(636\) 4.88624 20.1135i 0.193752 0.797554i
\(637\) −0.422979 0.488144i −0.0167590 0.0193410i
\(638\) −2.88577 13.8190i −0.114249 0.547101i
\(639\) −20.2951 + 8.90539i −0.802863 + 0.352292i
\(640\) −9.26369 4.08511i −0.366179 0.161478i
\(641\) −43.6092 6.27005i −1.72246 0.247652i −0.791083 0.611709i \(-0.790482\pi\)
−0.931377 + 0.364057i \(0.881391\pi\)
\(642\) 14.8124 6.48403i 0.584599 0.255904i
\(643\) 42.1685i 1.66296i 0.555553 + 0.831481i \(0.312506\pi\)
−0.555553 + 0.831481i \(0.687494\pi\)
\(644\) −23.4428 6.75224i −0.923775 0.266076i
\(645\) 0.531690 + 8.30301i 0.0209353 + 0.326931i
\(646\) 21.7522 + 59.8380i 0.855829 + 2.35429i
\(647\) 2.84386 19.7795i 0.111804 0.777612i −0.854360 0.519682i \(-0.826050\pi\)
0.966164 0.257930i \(-0.0830405\pi\)
\(648\) 16.9870 + 18.9589i 0.667313 + 0.744778i
\(649\) 0.408521 0.119953i 0.0160358 0.00470855i
\(650\) 7.07233 1.47688i 0.277399 0.0579280i
\(651\) −13.2596 + 13.0634i −0.519684 + 0.511996i
\(652\) 22.2726 + 6.94502i 0.872260 + 0.271988i
\(653\) 0.199242 0.678557i 0.00779695 0.0265540i −0.955503 0.294983i \(-0.904686\pi\)
0.963300 + 0.268429i \(0.0865043\pi\)
\(654\) −23.0912 + 19.3791i −0.902937 + 0.757781i
\(655\) −9.65192 + 15.0187i −0.377132 + 0.586829i
\(656\) 26.8428 2.95025i 1.04804 0.115188i
\(657\) −5.57417 + 8.39579i −0.217469 + 0.327551i
\(658\) 1.52018 + 0.846603i 0.0592630 + 0.0330040i
\(659\) −1.83098 12.7347i −0.0713247 0.496074i −0.993902 0.110263i \(-0.964831\pi\)
0.922578 0.385811i \(-0.126078\pi\)
\(660\) −1.52562 4.41251i −0.0593847 0.171757i
\(661\) −3.16875 6.93859i −0.123250 0.269880i 0.837942 0.545759i \(-0.183758\pi\)
−0.961192 + 0.275879i \(0.911031\pi\)
\(662\) 17.7917 1.12356i 0.691492 0.0436683i
\(663\) −5.48627 + 14.3811i −0.213069 + 0.558515i
\(664\) 22.6118 + 23.7715i 0.877508 + 0.922515i
\(665\) 7.58446 + 11.8016i 0.294113 + 0.457648i
\(666\) 2.21517 23.3376i 0.0858362 0.904313i
\(667\) −9.61880 30.2964i −0.372441 1.17308i
\(668\) 36.1612 + 17.2483i 1.39912 + 0.667356i
\(669\) 12.7722 9.41348i 0.493803 0.363946i
\(670\) −6.19231 2.36857i −0.239230 0.0915060i
\(671\) 5.05969 11.0792i 0.195327 0.427707i
\(672\) −17.2244 + 18.0098i −0.664447 + 0.694742i
\(673\) 13.9697 + 30.5894i 0.538493 + 1.17913i 0.961952 + 0.273219i \(0.0880885\pi\)
−0.423459 + 0.905915i \(0.639184\pi\)
\(674\) −8.53864 + 4.57050i −0.328896 + 0.176049i
\(675\) 20.6092 7.16631i 0.793249 0.275831i
\(676\) −17.1584 15.3759i −0.659939 0.591380i
\(677\) −7.55804 6.54908i −0.290479 0.251702i 0.497414 0.867513i \(-0.334283\pi\)
−0.787894 + 0.615811i \(0.788828\pi\)
\(678\) 5.98782 6.69385i 0.229961 0.257076i
\(679\) −10.7005 + 16.6503i −0.410649 + 0.638982i
\(680\) −3.47716 18.1583i −0.133343 0.696339i
\(681\) 8.66369 38.4449i 0.331993 1.47321i
\(682\) 0.716788 8.97084i 0.0274472 0.343511i
\(683\) −2.01654 2.32721i −0.0771607 0.0890482i 0.715857 0.698247i \(-0.246036\pi\)
−0.793017 + 0.609199i \(0.791491\pi\)
\(684\) 36.7526 4.10499i 1.40527 0.156958i
\(685\) −16.3787 + 4.80922i −0.625797 + 0.183751i
\(686\) 16.4136 21.5494i 0.626675 0.822760i
\(687\) 26.7555 + 2.11408i 1.02079 + 0.0806573i
\(688\) −6.73234 + 20.3885i −0.256668 + 0.777305i
\(689\) 7.26943i 0.276943i
\(690\) −4.42472 9.53593i −0.168446 0.363027i
\(691\) 34.1984i 1.30097i −0.759519 0.650485i \(-0.774566\pi\)
0.759519 0.650485i \(-0.225434\pi\)
\(692\) −3.71740 29.3153i −0.141314 1.11440i
\(693\) −11.4907 0.171254i −0.436494 0.00650539i
\(694\) 31.5764 + 24.0509i 1.19862 + 0.912961i
\(695\) 10.4873 3.07936i 0.397807 0.116807i
\(696\) −31.9730 5.66132i −1.21193 0.214592i
\(697\) 32.2931 + 37.2682i 1.22319 + 1.41163i
\(698\) −34.7186 2.77408i −1.31412 0.105001i
\(699\) 24.8709 + 5.60474i 0.940703 + 0.211991i
\(700\) 8.54855 + 19.5756i 0.323105 + 0.739889i
\(701\) 7.87469 12.2533i 0.297423 0.462799i −0.660091 0.751186i \(-0.729482\pi\)
0.957514 + 0.288386i \(0.0931187\pi\)
\(702\) 7.36914 + 5.06192i 0.278130 + 0.191050i
\(703\) −25.7379 22.3021i −0.970725 0.841138i
\(704\) 0.602139 12.0336i 0.0226940 0.453535i
\(705\) 0.153918 + 0.733833i 0.00579688 + 0.0276377i
\(706\) 4.77728 + 8.92494i 0.179795 + 0.335895i
\(707\) −13.4538 29.4597i −0.505982 1.10795i
\(708\) 0.0933966 0.974830i 0.00351006 0.0366364i
\(709\) 2.69486 5.90093i 0.101208 0.221614i −0.852254 0.523128i \(-0.824765\pi\)
0.953462 + 0.301514i \(0.0974921\pi\)
\(710\) 3.34019 8.73247i 0.125355 0.327724i
\(711\) −12.2450 14.5645i −0.459224 0.546211i
\(712\) 16.3738 + 12.9083i 0.613633 + 0.483757i
\(713\) −0.442210 20.2587i −0.0165609 0.758693i
\(714\) −44.9364 7.18652i −1.68170 0.268949i
\(715\) −0.886493 1.37941i −0.0331529 0.0515870i
\(716\) −13.5774 + 20.3722i −0.507412 + 0.761346i
\(717\) 8.27941 + 3.15853i 0.309200 + 0.117958i
\(718\) −1.47458 23.3501i −0.0550309 0.871419i
\(719\) 12.0750 + 26.4406i 0.450323 + 0.986070i 0.989587 + 0.143933i \(0.0459750\pi\)
−0.539265 + 0.842136i \(0.681298\pi\)
\(720\) −10.7261 0.517758i −0.399738 0.0192957i
\(721\) −2.44131 16.9797i −0.0909191 0.632357i
\(722\) 13.0659 23.4615i 0.486263 0.873147i
\(723\) −1.97833 1.50409i −0.0735748 0.0559376i
\(724\) −5.18993 8.37950i −0.192882 0.311422i
\(725\) −15.0472 + 23.4139i −0.558839 + 0.869571i
\(726\) −16.3832 + 13.7494i −0.608037 + 0.510289i
\(727\) −6.61631 + 22.5331i −0.245385 + 0.835706i 0.741035 + 0.671466i \(0.234335\pi\)
−0.986421 + 0.164239i \(0.947483\pi\)
\(728\) −4.38518 + 7.57438i −0.162526 + 0.280725i
\(729\) 24.0342 + 12.3027i 0.890157 + 0.455654i
\(730\) −0.869033 4.16153i −0.0321643 0.154025i
\(731\) −37.6205 + 11.0464i −1.39144 + 0.408565i
\(732\) −19.3258 20.2811i −0.714301 0.749612i
\(733\) −3.65831 + 25.4441i −0.135123 + 0.939800i 0.803610 + 0.595156i \(0.202910\pi\)
−0.938733 + 0.344644i \(0.887999\pi\)
\(734\) −0.0376621 + 0.0136909i −0.00139013 + 0.000505339i
\(735\) 0.821215 0.0525872i 0.0302910 0.00193971i
\(736\) −1.39820 27.0933i −0.0515382 0.998671i
\(737\) 7.88992i 0.290629i
\(738\) 25.4511 13.1392i 0.936869 0.483659i
\(739\) −24.0773 3.46180i −0.885699 0.127344i −0.315572 0.948901i \(-0.602197\pi\)
−0.570126 + 0.821557i \(0.693106\pi\)
\(740\) 6.35063 + 7.58067i 0.233454 + 0.278671i
\(741\) 12.2025 4.44802i 0.448271 0.163402i
\(742\) 21.0386 4.39340i 0.772352 0.161287i
\(743\) −16.4886 19.0288i −0.604907 0.698100i 0.367861 0.929881i \(-0.380090\pi\)
−0.972768 + 0.231781i \(0.925545\pi\)
\(744\) −18.5399 9.20515i −0.679704 0.337477i
\(745\) 0.181356 + 0.0532511i 0.00664439 + 0.00195097i
\(746\) 14.1831 + 19.2793i 0.519282 + 0.705864i
\(747\) 31.4348 + 14.9259i 1.15014 + 0.546109i
\(748\) 18.7050 11.5851i 0.683923 0.423595i
\(749\) 12.6887 + 10.9948i 0.463636 + 0.401743i
\(750\) −8.66516 + 18.2079i −0.316407 + 0.664859i
\(751\) 10.2521 1.47403i 0.374105 0.0537881i 0.0473018 0.998881i \(-0.484938\pi\)
0.326803 + 0.945093i \(0.394029\pi\)
\(752\) −0.339052 + 1.90506i −0.0123640 + 0.0694703i
\(753\) −27.5715 + 14.7896i −1.00476 + 0.538962i
\(754\) −11.3811 + 0.718725i −0.414474 + 0.0261744i
\(755\) −4.12556 + 9.03372i −0.150145 + 0.328771i
\(756\) −10.1962 + 24.3865i −0.370831 + 0.886927i
\(757\) −17.4925 + 11.2418i −0.635776 + 0.408589i −0.818444 0.574586i \(-0.805163\pi\)
0.182668 + 0.983175i \(0.441527\pi\)
\(758\) −24.7826 5.60779i −0.900143 0.203684i
\(759\) 8.71820 8.97249i 0.316451 0.325681i
\(760\) −9.65829 + 12.2513i −0.350343 + 0.444400i
\(761\) 20.0730 + 31.2342i 0.727646 + 1.13224i 0.986090 + 0.166213i \(0.0531540\pi\)
−0.258444 + 0.966026i \(0.583210\pi\)
\(762\) 49.2422 + 15.3071i 1.78386 + 0.554516i
\(763\) −28.4731 13.0032i −1.03079 0.470748i
\(764\) −34.8530 5.60544i −1.26094 0.202798i
\(765\) −10.3548 16.6529i −0.374379 0.602087i
\(766\) 6.61164 3.53903i 0.238888 0.127870i
\(767\) −0.0489467 0.340432i −0.00176736 0.0122923i
\(768\) −25.1771 11.5807i −0.908502 0.417881i
\(769\) 26.3502 30.4098i 0.950214 1.09660i −0.0450103 0.998987i \(-0.514332\pi\)
0.995224 0.0976185i \(-0.0311225\pi\)
\(770\) 3.45642 3.39929i 0.124561 0.122502i
\(771\) 2.26133 + 1.25675i 0.0814399 + 0.0452606i
\(772\) 0.514911 0.224858i 0.0185320 0.00809283i
\(773\) 7.98788 27.2042i 0.287304 0.978468i −0.681743 0.731592i \(-0.738778\pi\)
0.969047 0.246876i \(-0.0794041\pi\)
\(774\) 1.09646 + 22.7473i 0.0394115 + 0.817636i
\(775\) −13.4089 + 11.6189i −0.481662 + 0.417363i
\(776\) −21.3833 5.21468i −0.767617 0.187196i
\(777\) 22.8696 8.33635i 0.820444 0.299065i
\(778\) −6.39406 + 8.39474i −0.229238 + 0.300966i
\(779\) 5.92181 41.1871i 0.212171 1.47568i
\(780\) −3.70351 + 0.712576i −0.132607 + 0.0255143i
\(781\) 11.1265 0.398136
\(782\) 39.2553 30.2211i 1.40377 1.08070i
\(783\) −33.8082 + 6.56671i −1.20821 + 0.234675i
\(784\) 2.01654 + 0.665867i 0.0720193 + 0.0237810i
\(785\) −3.57924 0.514617i −0.127749 0.0183675i
\(786\) −27.0650 + 40.6874i −0.965377 + 1.45127i
\(787\) 2.30422 + 7.84746i 0.0821367 + 0.279732i 0.990312 0.138857i \(-0.0443429\pi\)
−0.908176 + 0.418589i \(0.862525\pi\)
\(788\) 42.8282 + 0.713817i 1.52569 + 0.0254287i
\(789\) 33.3129 32.8202i 1.18597 1.16843i
\(790\) 8.00148 + 0.639334i 0.284680 + 0.0227465i
\(791\) 8.94790 + 2.62734i 0.318151 + 0.0934175i
\(792\) −3.98481 12.1424i −0.141594 0.431463i
\(793\) −8.27693 5.31926i −0.293922 0.188892i
\(794\) 9.60739 9.44860i 0.340954 0.335318i
\(795\) 7.37255 + 5.60523i 0.261477 + 0.198797i
\(796\) −9.12215 + 10.1797i −0.323326 + 0.360809i
\(797\) −16.5836 + 2.38435i −0.587420 + 0.0844582i −0.429615 0.903012i \(-0.641351\pi\)
−0.157805 + 0.987470i \(0.550442\pi\)
\(798\) 20.2479 + 32.6274i 0.716768 + 1.15500i
\(799\) −3.21418 + 1.46787i −0.113709 + 0.0519294i
\(800\) −17.4818 + 16.0826i −0.618074 + 0.568604i
\(801\) 21.1238 + 6.54597i 0.746372 + 0.231290i
\(802\) 7.46607 19.5190i 0.263636 0.689241i
\(803\) 4.25616 2.73527i 0.150197 0.0965256i
\(804\) −16.8453 6.75003i −0.594088 0.238055i
\(805\) 6.96652 8.40356i 0.245538 0.296186i
\(806\) −7.09043 1.60442i −0.249750 0.0565133i
\(807\) −36.7150 + 27.0600i −1.29243 + 0.952557i
\(808\) 26.0952 24.8221i 0.918025 0.873238i
\(809\) −20.8546 9.52397i −0.733208 0.334845i 0.0135793 0.999908i \(-0.495677\pi\)
−0.746787 + 0.665063i \(0.768405\pi\)
\(810\) −10.8158 + 3.57059i −0.380030 + 0.125458i
\(811\) 10.3706 4.73609i 0.364160 0.166306i −0.224927 0.974376i \(-0.572214\pi\)
0.589088 + 0.808069i \(0.299487\pi\)
\(812\) −8.95841 32.5039i −0.314379 1.14066i
\(813\) 1.24879 + 5.95386i 0.0437971 + 0.208811i
\(814\) −5.72606 + 10.2819i −0.200698 + 0.360380i
\(815\) −6.83602 + 7.88919i −0.239455 + 0.276346i
\(816\) −8.73210 49.8473i −0.305685 1.74501i
\(817\) 27.8326 + 17.8869i 0.973739 + 0.625784i
\(818\) −14.1482 19.2318i −0.494682 0.672425i
\(819\) −1.45791 + 9.16792i −0.0509434 + 0.320353i
\(820\) −3.59688 + 11.5351i −0.125608 + 0.402824i
\(821\) 35.6784 30.9155i 1.24518 1.07896i 0.251371 0.967891i \(-0.419119\pi\)
0.993813 0.111067i \(-0.0354267\pi\)
\(822\) −45.0343 + 12.4547i −1.57075 + 0.434406i
\(823\) 3.77705 + 12.8635i 0.131660 + 0.448392i 0.998762 0.0497377i \(-0.0158385\pi\)
−0.867103 + 0.498130i \(0.834020\pi\)
\(824\) 16.9662 8.72098i 0.591047 0.303810i
\(825\) −10.9200 0.862847i −0.380187 0.0300405i
\(826\) 0.955670 0.347403i 0.0332520 0.0120877i
\(827\) 32.8908 1.14373 0.571863 0.820349i \(-0.306221\pi\)
0.571863 + 0.820349i \(0.306221\pi\)
\(828\) −11.6980 26.2899i −0.406533 0.913636i
\(829\) 23.5541 0.818066 0.409033 0.912520i \(-0.365866\pi\)
0.409033 + 0.912520i \(0.365866\pi\)
\(830\) −13.7964 + 5.01526i −0.478882 + 0.174082i
\(831\) 40.2182 + 3.17784i 1.39515 + 0.110238i
\(832\) −9.55254 1.86485i −0.331175 0.0646522i
\(833\) 1.09255 + 3.72088i 0.0378546 + 0.128921i
\(834\) 28.8356 7.97475i 0.998495 0.276143i
\(835\) −13.5478 + 11.7393i −0.468842 + 0.406254i
\(836\) −17.7239 5.52666i −0.612994 0.191144i
\(837\) −21.8585 2.05534i −0.755541 0.0710431i
\(838\) −6.33015 8.60462i −0.218671 0.297242i
\(839\) −10.5978 6.81077i −0.365875 0.235134i 0.344765 0.938689i \(-0.387958\pi\)
−0.710641 + 0.703555i \(0.751595\pi\)
\(840\) −4.30056 10.2878i −0.148383 0.354961i
\(841\) 9.77721 11.2835i 0.337145 0.389086i
\(842\) −10.6957 + 19.2055i −0.368599 + 0.661866i
\(843\) −5.72413 27.2909i −0.197150 0.939948i
\(844\) −31.0770 + 8.56516i −1.06972 + 0.294825i
\(845\) 9.37732 4.28248i 0.322589 0.147322i
\(846\) 0.389552 + 2.01506i 0.0133931 + 0.0692793i
\(847\) −20.2016 9.22577i −0.694136 0.317001i
\(848\) 12.2444 + 20.5259i 0.420476 + 0.704864i
\(849\) 36.9604 27.2409i 1.26848 0.934904i
\(850\) −42.3079 9.57343i −1.45115 0.328366i
\(851\) −10.4795 + 24.3389i −0.359232 + 0.834328i
\(852\) 9.51897 23.7554i 0.326115 0.813848i
\(853\) 41.5108 26.6774i 1.42130 0.913415i 0.421323 0.906911i \(-0.361566\pi\)
0.999979 0.00650434i \(-0.00207041\pi\)
\(854\) 10.3923 27.1692i 0.355617 0.929712i
\(855\) −4.89786 + 15.8054i −0.167503 + 0.540532i
\(856\) −6.96001 + 17.3251i −0.237888 + 0.592159i
\(857\) 19.3900 8.85510i 0.662348 0.302484i −0.0557308 0.998446i \(-0.517749\pi\)
0.718079 + 0.695961i \(0.245022\pi\)
\(858\) −2.36663 3.81358i −0.0807955 0.130193i
\(859\) 26.4229 3.79904i 0.901538 0.129622i 0.324068 0.946034i \(-0.394949\pi\)
0.577470 + 0.816412i \(0.304040\pi\)
\(860\) −7.15473 6.41145i −0.243974 0.218629i
\(861\) 23.6756 + 18.0001i 0.806862 + 0.613443i
\(862\) −30.3672 + 29.8653i −1.03431 + 1.01722i
\(863\) 10.9390 + 7.03006i 0.372368 + 0.239306i 0.713418 0.700739i \(-0.247146\pi\)
−0.341050 + 0.940045i \(0.610783\pi\)
\(864\) −29.3337 1.88044i −0.997952 0.0639738i
\(865\) 12.6863 + 3.72504i 0.431348 + 0.126655i
\(866\) 40.0826 + 3.20268i 1.36206 + 0.108831i
\(867\) 44.8552 44.1917i 1.52336 1.50083i
\(868\) 0.358177 21.4903i 0.0121573 0.729427i
\(869\) 2.69128 + 9.16566i 0.0912954 + 0.310924i
\(870\) 8.04667 12.0967i 0.272808 0.410117i
\(871\) −6.30856 0.907034i −0.213757 0.0307337i
\(872\) 3.35033 34.6474i 0.113456 1.17331i
\(873\) −23.1544 + 2.97764i −0.783659 + 0.100778i
\(874\) −40.9638 8.33396i −1.38562 0.281900i
\(875\) −20.9381 −0.707836
\(876\) −2.19865 11.4272i −0.0742855 0.386088i
\(877\) 6.58241 45.7817i 0.222272 1.54594i −0.507140 0.861864i \(-0.669297\pi\)
0.729412 0.684074i \(-0.239794\pi\)
\(878\) −2.98010 + 3.91256i −0.100573 + 0.132043i
\(879\) 5.14385 1.87502i 0.173498 0.0632427i
\(880\) 4.82654 + 2.40171i 0.162703 + 0.0809617i
\(881\) −6.99947 + 6.06508i −0.235818 + 0.204338i −0.764751 0.644326i \(-0.777138\pi\)
0.528933 + 0.848664i \(0.322592\pi\)
\(882\) 2.24984 0.108446i 0.0757560 0.00365157i
\(883\) −4.42183 + 15.0594i −0.148806 + 0.506788i −0.999832 0.0183366i \(-0.994163\pi\)
0.851026 + 0.525124i \(0.175981\pi\)
\(884\) −7.11281 16.2879i −0.239230 0.547820i
\(885\) 0.383002 + 0.212855i 0.0128745 + 0.00715505i
\(886\) −22.8657 + 22.4878i −0.768190 + 0.755493i
\(887\) 7.37544 8.51171i 0.247643 0.285795i −0.618295 0.785946i \(-0.712176\pi\)
0.865939 + 0.500150i \(0.166722\pi\)
\(888\) 17.0534 + 21.0218i 0.572275 + 0.705444i
\(889\) 7.62015 + 52.9993i 0.255572 + 1.77754i
\(890\) −8.22496 + 4.40260i −0.275701 + 0.147575i
\(891\) −8.56727 10.5040i −0.287014 0.351897i
\(892\) −2.90919 + 18.0885i −0.0974068 + 0.605648i
\(893\) 2.71215 + 1.23860i 0.0907587 + 0.0414481i
\(894\) 0.494051 + 0.153577i 0.0165235 + 0.00513638i
\(895\) −5.92234 9.21534i −0.197962 0.308035i
\(896\) −0.376113 28.7733i −0.0125650 0.961248i
\(897\) −6.17190 8.00231i −0.206074 0.267189i
\(898\) 0.387539 + 0.0876922i 0.0129323 + 0.00292633i
\(899\) 23.5591 15.1405i 0.785740 0.504964i
\(900\) −11.1846 + 22.5765i −0.372819 + 0.752551i
\(901\) −18.1308 + 39.7008i −0.604023 + 1.32263i
\(902\) −14.3508 + 0.906267i −0.477830 + 0.0301754i
\(903\) −20.8385 + 11.1779i −0.693463 + 0.371979i
\(904\) 0.481039 + 10.3594i 0.0159991 + 0.344549i
\(905\) 4.36533 0.627639i 0.145108 0.0208634i
\(906\) −11.6815 + 24.5460i −0.388090 + 0.815486i
\(907\) 27.8499 + 24.1321i 0.924740 + 0.801292i 0.980371 0.197160i \(-0.0631718\pi\)
−0.0556316 + 0.998451i \(0.517717\pi\)
\(908\) 23.9608 + 38.6864i 0.795168 + 1.28385i
\(909\) 16.3849 34.5075i 0.543451 1.14454i
\(910\) −2.32062 3.15444i −0.0769279 0.104569i
\(911\) 12.7033 + 3.73003i 0.420880 + 0.123582i 0.485313 0.874340i \(-0.338706\pi\)
−0.0644329 + 0.997922i \(0.520524\pi\)
\(912\) −26.9629 + 33.1130i −0.892830 + 1.09648i
\(913\) −11.4403 13.2028i −0.378618 0.436949i
\(914\) −46.9825 + 9.81114i −1.55404 + 0.324524i
\(915\) 11.7768 4.29283i 0.389329 0.141917i
\(916\) −23.7563 + 19.9016i −0.784930 + 0.657567i
\(917\) −50.2248 7.22123i −1.65857 0.238466i
\(918\) −27.6204 46.0244i −0.911609 1.51903i
\(919\) 52.5903i 1.73479i −0.497617 0.867397i \(-0.665792\pi\)
0.497617 0.867397i \(-0.334208\pi\)
\(920\) 11.3599 + 4.27813i 0.374524 + 0.141046i
\(921\) −41.8733 + 2.68139i −1.37977 + 0.0883549i
\(922\) 18.6414 6.77648i 0.613922 0.223172i
\(923\) 1.27911 8.89641i 0.0421025 0.292829i
\(924\) 9.60666 9.15412i 0.316036 0.301149i
\(925\) 22.2625 6.53687i 0.731987 0.214931i
\(926\) −2.30560 11.0408i −0.0757669 0.362824i
\(927\) 13.4766 15.0924i 0.442629 0.495698i
\(928\) 30.9250 21.1994i 1.01516 0.695904i
\(929\) −8.54254 + 29.0932i −0.280272 + 0.954518i 0.692241 + 0.721667i \(0.256624\pi\)
−0.972512 + 0.232851i \(0.925195\pi\)
\(930\) 7.09439 5.95390i 0.232634 0.195236i
\(931\) 1.76912 2.75280i 0.0579805 0.0902194i
\(932\) −25.0271 + 15.5008i −0.819791 + 0.507746i
\(933\) 48.2804 + 36.7067i 1.58063 + 1.20173i
\(934\) −11.1701 + 20.0574i −0.365498 + 0.656298i
\(935\) 1.40104 + 9.74444i 0.0458189 + 0.318677i
\(936\) −10.1668 + 1.79023i −0.332314 + 0.0585157i
\(937\) −15.4701 33.8748i −0.505386 1.10664i −0.974681 0.223600i \(-0.928219\pi\)
0.469295 0.883042i \(-0.344508\pi\)
\(938\) −1.18761 18.8059i −0.0387769 0.614036i
\(939\) −25.1756 9.60431i −0.821575 0.313425i
\(940\) −0.720452 0.480157i −0.0234985 0.0156610i
\(941\) −7.55222 11.7515i −0.246195 0.383087i 0.696060 0.717984i \(-0.254935\pi\)
−0.942255 + 0.334897i \(0.891299\pi\)
\(942\) −9.77373 1.56308i −0.318445 0.0509279i
\(943\) −31.9395 + 5.30604i −1.04009 + 0.172788i
\(944\) 0.711620 + 0.878798i 0.0231613 + 0.0286024i
\(945\) −8.17383 8.54768i −0.265895 0.278056i
\(946\) 4.08457 10.6786i 0.132801 0.347190i
\(947\) 10.3291 22.6176i 0.335651 0.734973i −0.664271 0.747492i \(-0.731258\pi\)
0.999922 + 0.0125191i \(0.00398507\pi\)
\(948\) 21.8715 + 2.09547i 0.710353 + 0.0680576i
\(949\) −1.69775 3.71756i −0.0551114 0.120677i
\(950\) 17.2733 + 32.2702i 0.560421 + 1.04698i
\(951\) 4.47548 + 21.3377i 0.145127 + 0.691922i
\(952\) 42.8403 30.4292i 1.38846 0.986215i
\(953\) −27.8415 24.1248i −0.901876 0.781480i 0.0745762 0.997215i \(-0.476240\pi\)
−0.976452 + 0.215736i \(0.930785\pi\)
\(954\) 19.9356 + 15.6594i 0.645440 + 0.506990i
\(955\) 8.53946 13.2877i 0.276330 0.429978i
\(956\) −9.37717 + 4.09495i −0.303279 + 0.132440i
\(957\) 16.8669 + 3.80102i 0.545230 + 0.122869i
\(958\) 54.1726 + 4.32849i 1.75024 + 0.139847i
\(959\) −31.7718 36.6667i −1.02597 1.18403i
\(960\) 9.25697 8.25012i 0.298767 0.266272i
\(961\) −12.6149 + 3.70406i −0.406932 + 0.119486i
\(962\) 7.56283 + 5.76041i 0.243835 + 0.185723i
\(963\) −0.295112 + 19.8012i −0.00950986 + 0.638085i
\(964\) 2.84683 0.360999i 0.0916901 0.0116270i
\(965\) 0.251402i 0.00809292i
\(966\) 19.4296 22.6986i 0.625137 0.730315i
\(967\) 5.27841i 0.169742i −0.996392 0.0848711i \(-0.972952\pi\)
0.996392 0.0848711i \(-0.0270478\pi\)
\(968\) 2.37705 24.5823i 0.0764014 0.790106i
\(969\) −77.7360 6.14231i −2.49724 0.197319i
\(970\) 5.96727 7.83441i 0.191598 0.251548i
\(971\) −35.4402 + 10.4062i −1.13733 + 0.333950i −0.795584 0.605843i \(-0.792836\pi\)
−0.341745 + 0.939793i \(0.611018\pi\)
\(972\) −29.7560 + 9.30502i −0.954423 + 0.298458i
\(973\) 20.3436 + 23.4778i 0.652186 + 0.752663i
\(974\) −1.24607 + 15.5950i −0.0399268 + 0.499697i
\(975\) −1.94529 + 8.63217i −0.0622991 + 0.276451i
\(976\) 32.3303 + 1.07800i 1.03487 + 0.0345058i
\(977\) −8.95434 + 13.9332i −0.286475 + 0.445763i −0.954429 0.298439i \(-0.903534\pi\)
0.667954 + 0.744203i \(0.267170\pi\)
\(978\) −19.0502 + 21.2965i −0.609159 + 0.680985i
\(979\) −8.39053 7.27043i −0.268162 0.232364i
\(980\) −0.634129 + 0.707643i −0.0202565 + 0.0226048i
\(981\) −9.87266 35.5761i −0.315210 1.13586i
\(982\) 18.5632 9.93636i 0.592375 0.317082i
\(983\) 25.1195 + 55.0039i 0.801186 + 1.75435i 0.641407 + 0.767200i \(0.278351\pi\)
0.159779 + 0.987153i \(0.448922\pi\)
\(984\) −10.3426 + 31.4149i −0.329709 + 1.00147i
\(985\) −7.96174 + 17.4338i −0.253682 + 0.555487i
\(986\) 63.9485 + 24.4605i 2.03654 + 0.778980i
\(987\) −1.71549 + 1.26437i −0.0546048 + 0.0402453i
\(988\) −6.45652 + 13.5362i −0.205409 + 0.430644i
\(989\) 6.71192 24.8528i 0.213427 0.790272i
\(990\) 5.69251 + 0.540326i 0.180920 + 0.0171727i
\(991\) 16.2294 + 25.2535i 0.515544 + 0.802202i 0.997248 0.0741315i \(-0.0236184\pi\)
−0.481704 + 0.876334i \(0.659982\pi\)
\(992\) 22.7230 7.41270i 0.721455 0.235354i
\(993\) −7.78230 + 20.3996i −0.246964 + 0.647362i
\(994\) 26.5204 1.67478i 0.841175 0.0531210i
\(995\) −2.54069 5.56334i −0.0805453 0.176370i
\(996\) −37.9759 + 13.1301i −1.20331 + 0.416044i
\(997\) 8.73142 + 60.7283i 0.276527 + 1.92329i 0.372762 + 0.927927i \(0.378411\pi\)
−0.0962351 + 0.995359i \(0.530680\pi\)
\(998\) −14.0914 7.84764i −0.446057 0.248413i
\(999\) 24.8852 + 14.3196i 0.787334 + 0.453051i
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.o.a.35.18 yes 440
3.2 odd 2 inner 276.2.o.a.35.27 yes 440
4.3 odd 2 inner 276.2.o.a.35.11 440
12.11 even 2 inner 276.2.o.a.35.34 yes 440
23.2 even 11 inner 276.2.o.a.71.34 yes 440
69.2 odd 22 inner 276.2.o.a.71.11 yes 440
92.71 odd 22 inner 276.2.o.a.71.27 yes 440
276.71 even 22 inner 276.2.o.a.71.18 yes 440
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
276.2.o.a.35.11 440 4.3 odd 2 inner
276.2.o.a.35.18 yes 440 1.1 even 1 trivial
276.2.o.a.35.27 yes 440 3.2 odd 2 inner
276.2.o.a.35.34 yes 440 12.11 even 2 inner
276.2.o.a.71.11 yes 440 69.2 odd 22 inner
276.2.o.a.71.18 yes 440 276.71 even 22 inner
276.2.o.a.71.27 yes 440 92.71 odd 22 inner
276.2.o.a.71.34 yes 440 23.2 even 11 inner