Properties

Label 690.2.w.a.373.5
Level $690$
Weight $2$
Character 690.373
Analytic conductor $5.510$
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] = [690,2,Mod(7,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([0, 11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), 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: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 373.5
Character \(\chi\) \(=\) 690.373
Dual form 690.2.w.a.37.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.877679 + 0.479249i) q^{2} +(-0.997452 + 0.0713392i) q^{3} +(0.540641 - 0.841254i) q^{4} +(2.11884 + 0.714499i) q^{5} +(0.841254 - 0.540641i) q^{6} +(0.271075 - 0.726780i) q^{7} +(-0.0713392 + 0.997452i) q^{8} +(0.989821 - 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 + 0.479249i) q^{2} +(-0.997452 + 0.0713392i) q^{3} +(0.540641 - 0.841254i) q^{4} +(2.11884 + 0.714499i) q^{5} +(0.841254 - 0.540641i) q^{6} +(0.271075 - 0.726780i) q^{7} +(-0.0713392 + 0.997452i) q^{8} +(0.989821 - 0.142315i) q^{9} +(-2.20209 + 0.388352i) q^{10} +(-1.66072 - 5.65588i) q^{11} +(-0.479249 + 0.877679i) q^{12} +(3.64999 - 1.36138i) q^{13} +(0.110392 + 0.767791i) q^{14} +(-2.16442 - 0.561523i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(-3.47850 - 0.756701i) q^{17} +(-0.800541 + 0.599278i) q^{18} +(-3.10501 - 1.99547i) q^{19} +(1.74661 - 1.39620i) q^{20} +(-0.218536 + 0.744266i) q^{21} +(4.16815 + 4.16815i) q^{22} +(0.782098 + 4.73163i) q^{23} -1.00000i q^{24} +(3.97898 + 3.02782i) q^{25} +(-2.55108 + 2.94411i) q^{26} +(-0.977147 + 0.212565i) q^{27} +(-0.464852 - 0.620969i) q^{28} +(-4.42134 - 6.87974i) q^{29} +(2.16877 - 0.544457i) q^{30} +(-0.455780 - 0.525998i) q^{31} +(0.800541 + 0.599278i) q^{32} +(2.05997 + 5.52300i) q^{33} +(3.41565 - 1.00293i) q^{34} +(1.09365 - 1.34625i) q^{35} +(0.415415 - 0.909632i) q^{36} +(3.93943 - 5.26246i) q^{37} +(3.68153 + 0.263308i) q^{38} +(-3.54357 + 1.61829i) q^{39} +(-0.863835 + 2.06247i) q^{40} +(0.0215894 - 0.150158i) q^{41} +(-0.164884 - 0.757960i) q^{42} +(-0.836505 - 11.6959i) q^{43} +(-5.65588 - 1.66072i) q^{44} +(2.19896 + 0.405684i) q^{45} +(-2.95406 - 3.77803i) q^{46} +(-0.875308 + 0.875308i) q^{47} +(0.479249 + 0.877679i) q^{48} +(4.83552 + 4.19000i) q^{49} +(-4.94335 - 0.750534i) q^{50} +(3.52362 + 0.506620i) q^{51} +(0.828071 - 3.80658i) q^{52} +(8.51077 + 3.17435i) q^{53} +(0.755750 - 0.654861i) q^{54} +(0.522329 - 13.1705i) q^{55} +(0.705590 + 0.322232i) q^{56} +(3.23946 + 1.76888i) q^{57} +(7.17763 + 3.91928i) q^{58} +(-11.6922 - 5.33967i) q^{59} +(-1.64255 + 1.51724i) q^{60} +(9.88231 - 8.56307i) q^{61} +(0.652113 + 0.243225i) q^{62} +(0.164884 - 0.757960i) q^{63} +(-0.989821 - 0.142315i) q^{64} +(8.70645 - 0.276624i) q^{65} +(-4.45489 - 3.86018i) q^{66} +(6.73221 + 12.3291i) q^{67} +(-2.51720 + 2.51720i) q^{68} +(-1.11766 - 4.66378i) q^{69} +(-0.314684 + 1.70570i) q^{70} +(7.40082 + 2.17308i) q^{71} +(0.0713392 + 0.997452i) q^{72} +(-0.107206 - 0.492818i) q^{73} +(-0.935524 + 6.50671i) q^{74} +(-4.18485 - 2.73625i) q^{75} +(-3.35739 + 1.53327i) q^{76} +(-4.56076 - 0.326192i) q^{77} +(2.33455 - 3.11860i) q^{78} +(6.48309 - 14.1960i) q^{79} +(-0.230267 - 2.22418i) q^{80} +(0.959493 - 0.281733i) q^{81} +(0.0530144 + 0.142137i) q^{82} +(2.80499 + 2.09979i) q^{83} +(0.507967 + 0.586225i) q^{84} +(-6.82972 - 4.08871i) q^{85} +(6.33941 + 9.86432i) q^{86} +(4.90087 + 6.54680i) q^{87} +(5.75995 - 1.25300i) q^{88} +(0.988512 - 1.14080i) q^{89} +(-2.12440 + 0.697788i) q^{90} -3.02177i q^{91} +(4.40333 + 1.90017i) q^{92} +(0.492143 + 0.492143i) q^{93} +(0.348749 - 1.18773i) q^{94} +(-5.15327 - 6.44662i) q^{95} +(-0.841254 - 0.540641i) q^{96} +(-3.94307 + 2.95174i) q^{97} +(-6.25209 - 1.36006i) q^{98} +(-2.44873 - 5.36197i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 24 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 24 q^{6} + 44 q^{10} - 16 q^{13} + 24 q^{16} + 44 q^{21} + 72 q^{23} + 16 q^{25} + 44 q^{28} - 16 q^{31} - 44 q^{33} - 24 q^{36} + 44 q^{37} + 88 q^{43} - 8 q^{46} + 48 q^{47} + 8 q^{50} - 16 q^{52} + 56 q^{55} + 44 q^{57} + 16 q^{58} + 88 q^{61} + 8 q^{62} + 88 q^{65} - 132 q^{67} + 56 q^{70} - 64 q^{71} + 16 q^{73} - 32 q^{75} - 16 q^{77} - 16 q^{78} + 24 q^{81} - 24 q^{82} + 92 q^{85} - 16 q^{87} - 44 q^{88} + 116 q^{92} - 80 q^{93} + 20 q^{95} + 24 q^{96} - 88 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{1}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 + 0.479249i −0.620613 + 0.338880i
\(3\) −0.997452 + 0.0713392i −0.575879 + 0.0411877i
\(4\) 0.540641 0.841254i 0.270320 0.420627i
\(5\) 2.11884 + 0.714499i 0.947575 + 0.319534i
\(6\) 0.841254 0.540641i 0.343440 0.220716i
\(7\) 0.271075 0.726780i 0.102457 0.274697i −0.875600 0.483037i \(-0.839534\pi\)
0.978056 + 0.208341i \(0.0668062\pi\)
\(8\) −0.0713392 + 0.997452i −0.0252222 + 0.352653i
\(9\) 0.989821 0.142315i 0.329940 0.0474383i
\(10\) −2.20209 + 0.388352i −0.696361 + 0.122808i
\(11\) −1.66072 5.65588i −0.500725 1.70531i −0.690366 0.723460i \(-0.742551\pi\)
0.189641 0.981853i \(-0.439268\pi\)
\(12\) −0.479249 + 0.877679i −0.138347 + 0.253364i
\(13\) 3.64999 1.36138i 1.01233 0.377578i 0.212081 0.977252i \(-0.431976\pi\)
0.800244 + 0.599674i \(0.204703\pi\)
\(14\) 0.110392 + 0.767791i 0.0295034 + 0.205201i
\(15\) −2.16442 0.561523i −0.558850 0.144985i
\(16\) −0.415415 0.909632i −0.103854 0.227408i
\(17\) −3.47850 0.756701i −0.843660 0.183527i −0.230092 0.973169i \(-0.573903\pi\)
−0.613568 + 0.789642i \(0.710266\pi\)
\(18\) −0.800541 + 0.599278i −0.188689 + 0.141251i
\(19\) −3.10501 1.99547i −0.712339 0.457792i 0.133626 0.991032i \(-0.457338\pi\)
−0.845964 + 0.533240i \(0.820974\pi\)
\(20\) 1.74661 1.39620i 0.390553 0.312199i
\(21\) −0.218536 + 0.744266i −0.0476885 + 0.162412i
\(22\) 4.16815 + 4.16815i 0.888653 + 0.888653i
\(23\) 0.782098 + 4.73163i 0.163079 + 0.986613i
\(24\) 1.00000i 0.204124i
\(25\) 3.97898 + 3.02782i 0.795796 + 0.605565i
\(26\) −2.55108 + 2.94411i −0.500308 + 0.577387i
\(27\) −0.977147 + 0.212565i −0.188052 + 0.0409082i
\(28\) −0.464852 0.620969i −0.0878487 0.117352i
\(29\) −4.42134 6.87974i −0.821023 1.27754i −0.957944 0.286954i \(-0.907357\pi\)
0.136922 0.990582i \(-0.456279\pi\)
\(30\) 2.16877 0.544457i 0.395962 0.0994038i
\(31\) −0.455780 0.525998i −0.0818605 0.0944721i 0.713342 0.700816i \(-0.247181\pi\)
−0.795202 + 0.606344i \(0.792635\pi\)
\(32\) 0.800541 + 0.599278i 0.141517 + 0.105938i
\(33\) 2.05997 + 5.52300i 0.358595 + 0.961431i
\(34\) 3.41565 1.00293i 0.585780 0.172000i
\(35\) 1.09365 1.34625i 0.184860 0.227557i
\(36\) 0.415415 0.909632i 0.0692358 0.151605i
\(37\) 3.93943 5.26246i 0.647638 0.865142i −0.349790 0.936828i \(-0.613747\pi\)
0.997427 + 0.0716858i \(0.0228379\pi\)
\(38\) 3.68153 + 0.263308i 0.597223 + 0.0427142i
\(39\) −3.54357 + 1.61829i −0.567426 + 0.259135i
\(40\) −0.863835 + 2.06247i −0.136584 + 0.326105i
\(41\) 0.0215894 0.150158i 0.00337170 0.0234507i −0.988066 0.154030i \(-0.950775\pi\)
0.991438 + 0.130580i \(0.0416838\pi\)
\(42\) −0.164884 0.757960i −0.0254422 0.116956i
\(43\) −0.836505 11.6959i −0.127566 1.78360i −0.510551 0.859848i \(-0.670558\pi\)
0.382985 0.923755i \(-0.374896\pi\)
\(44\) −5.65588 1.66072i −0.852657 0.250363i
\(45\) 2.19896 + 0.405684i 0.327801 + 0.0604758i
\(46\) −2.95406 3.77803i −0.435552 0.557040i
\(47\) −0.875308 + 0.875308i −0.127677 + 0.127677i −0.768058 0.640381i \(-0.778777\pi\)
0.640381 + 0.768058i \(0.278777\pi\)
\(48\) 0.479249 + 0.877679i 0.0691736 + 0.126682i
\(49\) 4.83552 + 4.19000i 0.690789 + 0.598572i
\(50\) −4.94335 0.750534i −0.699095 0.106142i
\(51\) 3.52362 + 0.506620i 0.493405 + 0.0709409i
\(52\) 0.828071 3.80658i 0.114833 0.527878i
\(53\) 8.51077 + 3.17435i 1.16904 + 0.436031i 0.857642 0.514247i \(-0.171929\pi\)
0.311402 + 0.950278i \(0.399201\pi\)
\(54\) 0.755750 0.654861i 0.102844 0.0891153i
\(55\) 0.522329 13.1705i 0.0704308 1.77591i
\(56\) 0.705590 + 0.322232i 0.0942884 + 0.0430601i
\(57\) 3.23946 + 1.76888i 0.429076 + 0.234293i
\(58\) 7.17763 + 3.91928i 0.942469 + 0.514627i
\(59\) −11.6922 5.33967i −1.52220 0.695166i −0.533601 0.845736i \(-0.679162\pi\)
−0.988599 + 0.150571i \(0.951889\pi\)
\(60\) −1.64255 + 1.51724i −0.212053 + 0.195875i
\(61\) 9.88231 8.56307i 1.26530 1.09639i 0.274424 0.961609i \(-0.411513\pi\)
0.990876 0.134779i \(-0.0430326\pi\)
\(62\) 0.652113 + 0.243225i 0.0828184 + 0.0308897i
\(63\) 0.164884 0.757960i 0.0207734 0.0954940i
\(64\) −0.989821 0.142315i −0.123728 0.0177894i
\(65\) 8.70645 0.276624i 1.07990 0.0343110i
\(66\) −4.45489 3.86018i −0.548359 0.475155i
\(67\) 6.73221 + 12.3291i 0.822470 + 1.50624i 0.861934 + 0.507020i \(0.169253\pi\)
−0.0394640 + 0.999221i \(0.512565\pi\)
\(68\) −2.51720 + 2.51720i −0.305255 + 0.305255i
\(69\) −1.11766 4.66378i −0.134550 0.561453i
\(70\) −0.314684 + 1.70570i −0.0376119 + 0.203871i
\(71\) 7.40082 + 2.17308i 0.878316 + 0.257897i 0.689648 0.724144i \(-0.257765\pi\)
0.188667 + 0.982041i \(0.439583\pi\)
\(72\) 0.0713392 + 0.997452i 0.00840740 + 0.117551i
\(73\) −0.107206 0.492818i −0.0125475 0.0576800i 0.970447 0.241313i \(-0.0775779\pi\)
−0.982995 + 0.183633i \(0.941214\pi\)
\(74\) −0.935524 + 6.50671i −0.108752 + 0.756390i
\(75\) −4.18485 2.73625i −0.483224 0.315955i
\(76\) −3.35739 + 1.53327i −0.385119 + 0.175878i
\(77\) −4.56076 0.326192i −0.519747 0.0371730i
\(78\) 2.33455 3.11860i 0.264336 0.353111i
\(79\) 6.48309 14.1960i 0.729404 1.59717i −0.0708326 0.997488i \(-0.522566\pi\)
0.800237 0.599684i \(-0.204707\pi\)
\(80\) −0.230267 2.22418i −0.0257446 0.248671i
\(81\) 0.959493 0.281733i 0.106610 0.0313036i
\(82\) 0.0530144 + 0.142137i 0.00585446 + 0.0156964i
\(83\) 2.80499 + 2.09979i 0.307888 + 0.230482i 0.742037 0.670359i \(-0.233860\pi\)
−0.434149 + 0.900841i \(0.642951\pi\)
\(84\) 0.507967 + 0.586225i 0.0554237 + 0.0639624i
\(85\) −6.82972 4.08871i −0.740788 0.443483i
\(86\) 6.33941 + 9.86432i 0.683596 + 1.06370i
\(87\) 4.90087 + 6.54680i 0.525429 + 0.701890i
\(88\) 5.75995 1.25300i 0.614013 0.133570i
\(89\) 0.988512 1.14080i 0.104782 0.120925i −0.700936 0.713224i \(-0.747234\pi\)
0.805718 + 0.592299i \(0.201780\pi\)
\(90\) −2.12440 + 0.697788i −0.223932 + 0.0735533i
\(91\) 3.02177i 0.316768i
\(92\) 4.40333 + 1.90017i 0.459079 + 0.198106i
\(93\) 0.492143 + 0.492143i 0.0510328 + 0.0510328i
\(94\) 0.348749 1.18773i 0.0359707 0.122505i
\(95\) −5.15327 6.44662i −0.528714 0.661409i
\(96\) −0.841254 0.540641i −0.0858601 0.0551789i
\(97\) −3.94307 + 2.95174i −0.400358 + 0.299704i −0.780419 0.625257i \(-0.784994\pi\)
0.380061 + 0.924962i \(0.375903\pi\)
\(98\) −6.25209 1.36006i −0.631556 0.137387i
\(99\) −2.44873 5.36197i −0.246107 0.538898i
\(100\) 4.69837 1.71037i 0.469837 0.171037i
\(101\) 1.46023 + 10.1561i 0.145298 + 1.01057i 0.923786 + 0.382910i \(0.125078\pi\)
−0.778488 + 0.627660i \(0.784013\pi\)
\(102\) −3.33540 + 1.24404i −0.330254 + 0.123178i
\(103\) 7.76239 14.2158i 0.764851 1.40072i −0.146552 0.989203i \(-0.546817\pi\)
0.911402 0.411516i \(-0.135001\pi\)
\(104\) 1.09752 + 3.73781i 0.107621 + 0.366522i
\(105\) −0.994821 + 1.42084i −0.0970846 + 0.138660i
\(106\) −8.99103 + 1.29271i −0.873286 + 0.125560i
\(107\) −1.07578 + 15.0414i −0.104000 + 1.45411i 0.630863 + 0.775895i \(0.282701\pi\)
−0.734863 + 0.678216i \(0.762753\pi\)
\(108\) −0.349464 + 0.936950i −0.0336272 + 0.0901580i
\(109\) −10.2489 + 6.58658i −0.981668 + 0.630880i −0.929913 0.367780i \(-0.880118\pi\)
−0.0517554 + 0.998660i \(0.516482\pi\)
\(110\) 5.85351 + 11.8098i 0.558111 + 1.12602i
\(111\) −3.55397 + 5.53008i −0.337328 + 0.524892i
\(112\) −0.773710 + 0.0553369i −0.0731088 + 0.00522884i
\(113\) −10.2436 + 5.59343i −0.963636 + 0.526185i −0.882395 0.470509i \(-0.844070\pi\)
−0.0812413 + 0.996694i \(0.525888\pi\)
\(114\) −3.69094 −0.345688
\(115\) −1.72360 + 10.5844i −0.160727 + 0.986999i
\(116\) −8.17797 −0.759305
\(117\) 3.41909 1.86697i 0.316095 0.172601i
\(118\) 12.8211 0.916981i 1.18027 0.0844149i
\(119\) −1.49289 + 2.32298i −0.136853 + 0.212947i
\(120\) 0.714499 2.11884i 0.0652246 0.193423i
\(121\) −19.9773 + 12.8386i −1.81611 + 1.16715i
\(122\) −4.56965 + 12.2517i −0.413717 + 1.10922i
\(123\) −0.0108223 + 0.151315i −0.000975813 + 0.0136436i
\(124\) −0.688911 + 0.0990505i −0.0618660 + 0.00889499i
\(125\) 6.26745 + 9.25846i 0.560578 + 0.828102i
\(126\) 0.218536 + 0.744266i 0.0194688 + 0.0663045i
\(127\) −2.45876 + 4.50288i −0.218180 + 0.399566i −0.963728 0.266885i \(-0.914006\pi\)
0.745549 + 0.666451i \(0.232187\pi\)
\(128\) 0.936950 0.349464i 0.0828154 0.0308886i
\(129\) 1.66875 + 11.6064i 0.146925 + 1.02189i
\(130\) −7.50890 + 4.41535i −0.658574 + 0.387252i
\(131\) −4.19911 9.19477i −0.366878 0.803351i −0.999581 0.0289562i \(-0.990782\pi\)
0.632702 0.774395i \(-0.281946\pi\)
\(132\) 5.75995 + 1.25300i 0.501339 + 0.109060i
\(133\) −2.29196 + 1.71574i −0.198738 + 0.148773i
\(134\) −11.8174 7.59460i −1.02087 0.656074i
\(135\) −2.22230 0.247779i −0.191265 0.0213254i
\(136\) 1.00293 3.41565i 0.0860002 0.292890i
\(137\) −10.2686 10.2686i −0.877307 0.877307i 0.115948 0.993255i \(-0.463009\pi\)
−0.993255 + 0.115948i \(0.963009\pi\)
\(138\) 3.21606 + 3.55767i 0.273769 + 0.302849i
\(139\) 8.45001i 0.716721i −0.933583 0.358360i \(-0.883336\pi\)
0.933583 0.358360i \(-0.116664\pi\)
\(140\) −0.541265 1.64787i −0.0457453 0.139271i
\(141\) 0.810634 0.935521i 0.0682677 0.0787851i
\(142\) −7.53699 + 1.63957i −0.632490 + 0.137590i
\(143\) −13.7614 18.3831i −1.15079 1.53727i
\(144\) −0.540641 0.841254i −0.0450534 0.0701045i
\(145\) −4.45255 17.7361i −0.369764 1.47291i
\(146\) 0.330275 + 0.381158i 0.0273338 + 0.0315448i
\(147\) −5.12211 3.83436i −0.422465 0.316253i
\(148\) −2.29725 6.15915i −0.188832 0.506279i
\(149\) 18.8481 5.53431i 1.54410 0.453389i 0.604769 0.796401i \(-0.293265\pi\)
0.939331 + 0.343012i \(0.111447\pi\)
\(150\) 4.98430 + 0.395967i 0.406966 + 0.0323306i
\(151\) −3.70797 + 8.11933i −0.301751 + 0.660742i −0.998393 0.0566772i \(-0.981949\pi\)
0.696642 + 0.717419i \(0.254677\pi\)
\(152\) 2.21189 2.95475i 0.179408 0.239662i
\(153\) −3.55078 0.253957i −0.287064 0.0205312i
\(154\) 4.15921 1.89945i 0.335159 0.153062i
\(155\) −0.589900 1.44016i −0.0473819 0.115677i
\(156\) −0.554403 + 3.85596i −0.0443878 + 0.308724i
\(157\) 3.82423 + 17.5797i 0.305207 + 1.40301i 0.832827 + 0.553533i \(0.186721\pi\)
−0.527620 + 0.849480i \(0.676916\pi\)
\(158\) 1.11334 + 15.5665i 0.0885726 + 1.23841i
\(159\) −8.71554 2.55911i −0.691187 0.202951i
\(160\) 1.26804 + 1.84176i 0.100247 + 0.145604i
\(161\) 3.65086 + 0.714212i 0.287728 + 0.0562878i
\(162\) −0.707107 + 0.707107i −0.0555556 + 0.0555556i
\(163\) 5.51798 + 10.1054i 0.432202 + 0.791518i 0.999488 0.0320025i \(-0.0101885\pi\)
−0.567286 + 0.823521i \(0.692007\pi\)
\(164\) −0.114649 0.0993436i −0.00895255 0.00775743i
\(165\) 0.418575 + 13.1742i 0.0325860 + 1.02561i
\(166\) −3.46821 0.498653i −0.269185 0.0387030i
\(167\) −0.335639 + 1.54291i −0.0259726 + 0.119394i −0.988308 0.152471i \(-0.951277\pi\)
0.962335 + 0.271865i \(0.0876405\pi\)
\(168\) −0.726780 0.271075i −0.0560723 0.0209139i
\(169\) 1.64434 1.42483i 0.126488 0.109602i
\(170\) 7.95382 + 0.315440i 0.610030 + 0.0241932i
\(171\) −3.35739 1.53327i −0.256746 0.117252i
\(172\) −10.2914 5.61955i −0.784714 0.428487i
\(173\) −12.0382 6.57333i −0.915244 0.499761i −0.0486731 0.998815i \(-0.515499\pi\)
−0.866571 + 0.499054i \(0.833681\pi\)
\(174\) −7.43894 3.39725i −0.563945 0.257545i
\(175\) 3.27916 2.07108i 0.247881 0.156559i
\(176\) −4.45489 + 3.86018i −0.335800 + 0.290972i
\(177\) 12.0434 + 4.49195i 0.905236 + 0.337635i
\(178\) −0.320867 + 1.47500i −0.0240500 + 0.110556i
\(179\) −2.65863 0.382254i −0.198716 0.0285710i 0.0422382 0.999108i \(-0.486551\pi\)
−0.240954 + 0.970537i \(0.577460\pi\)
\(180\) 1.53013 1.63055i 0.114049 0.121534i
\(181\) 15.1217 + 13.1030i 1.12399 + 0.973941i 0.999832 0.0183213i \(-0.00583218\pi\)
0.124156 + 0.992263i \(0.460378\pi\)
\(182\) 1.44818 + 2.65215i 0.107346 + 0.196590i
\(183\) −9.24624 + 9.24624i −0.683502 + 0.683502i
\(184\) −4.77537 + 0.442555i −0.352045 + 0.0326256i
\(185\) 12.1070 8.33559i 0.890127 0.612845i
\(186\) −0.667803 0.196085i −0.0489657 0.0143776i
\(187\) 1.49699 + 20.9306i 0.109471 + 1.53060i
\(188\) 0.263129 + 1.20958i 0.0191906 + 0.0882179i
\(189\) −0.110392 + 0.767791i −0.00802982 + 0.0558486i
\(190\) 7.61245 + 3.18836i 0.552265 + 0.231308i
\(191\) −4.93363 + 2.25311i −0.356985 + 0.163030i −0.585831 0.810433i \(-0.699232\pi\)
0.228846 + 0.973463i \(0.426505\pi\)
\(192\) 0.997452 + 0.0713392i 0.0719849 + 0.00514846i
\(193\) −9.20060 + 12.2906i −0.662273 + 0.884694i −0.998366 0.0571350i \(-0.981803\pi\)
0.336093 + 0.941829i \(0.390894\pi\)
\(194\) 2.04613 4.48039i 0.146903 0.321674i
\(195\) −8.66454 + 0.897031i −0.620480 + 0.0642377i
\(196\) 6.13913 1.80261i 0.438510 0.128758i
\(197\) −4.91167 13.1687i −0.349942 0.938232i −0.986023 0.166609i \(-0.946718\pi\)
0.636081 0.771623i \(-0.280555\pi\)
\(198\) 4.71892 + 3.53254i 0.335359 + 0.251047i
\(199\) −0.953648 1.10057i −0.0676023 0.0780172i 0.720941 0.692996i \(-0.243710\pi\)
−0.788543 + 0.614979i \(0.789164\pi\)
\(200\) −3.30397 + 3.75284i −0.233626 + 0.265366i
\(201\) −7.59460 11.8174i −0.535682 0.833538i
\(202\) −6.14891 8.21399i −0.432636 0.577934i
\(203\) −6.19857 + 1.34842i −0.435054 + 0.0946403i
\(204\) 2.33121 2.69036i 0.163217 0.188363i
\(205\) 0.153032 0.302735i 0.0106882 0.0211439i
\(206\) 16.1970i 1.12850i
\(207\) 1.44752 + 4.57216i 0.100610 + 0.317787i
\(208\) −2.75461 2.75461i −0.190998 0.190998i
\(209\) −6.12960 + 20.8755i −0.423993 + 1.44399i
\(210\) 0.192199 1.72381i 0.0132630 0.118954i
\(211\) 6.60190 + 4.24278i 0.454493 + 0.292085i 0.747789 0.663937i \(-0.231116\pi\)
−0.293295 + 0.956022i \(0.594752\pi\)
\(212\) 7.27170 5.44353i 0.499423 0.373863i
\(213\) −7.53699 1.63957i −0.516426 0.112342i
\(214\) −6.26440 13.7171i −0.428226 0.937683i
\(215\) 6.58427 25.3794i 0.449043 1.73086i
\(216\) −0.142315 0.989821i −0.00968330 0.0673488i
\(217\) −0.505835 + 0.188667i −0.0343383 + 0.0128075i
\(218\) 5.83865 10.6927i 0.395443 0.724200i
\(219\) 0.142090 + 0.483915i 0.00960156 + 0.0326999i
\(220\) −10.7973 7.55992i −0.727957 0.509690i
\(221\) −13.7266 + 1.97359i −0.923354 + 0.132758i
\(222\) 0.468957 6.55687i 0.0314743 0.440069i
\(223\) 0.0782052 0.209676i 0.00523701 0.0140410i −0.934305 0.356475i \(-0.883979\pi\)
0.939542 + 0.342434i \(0.111251\pi\)
\(224\) 0.652549 0.419368i 0.0436003 0.0280202i
\(225\) 4.36938 + 2.43074i 0.291292 + 0.162049i
\(226\) 6.30994 9.81847i 0.419731 0.653115i
\(227\) −0.593085 + 0.0424182i −0.0393644 + 0.00281540i −0.0910075 0.995850i \(-0.529009\pi\)
0.0516431 + 0.998666i \(0.483554\pi\)
\(228\) 3.23946 1.76888i 0.214538 0.117147i
\(229\) 0.358862 0.0237143 0.0118571 0.999930i \(-0.496226\pi\)
0.0118571 + 0.999930i \(0.496226\pi\)
\(230\) −3.55978 10.1157i −0.234725 0.667011i
\(231\) 4.57241 0.300842
\(232\) 7.17763 3.91928i 0.471234 0.257313i
\(233\) 16.4286 1.17500i 1.07628 0.0769767i 0.478072 0.878321i \(-0.341336\pi\)
0.598204 + 0.801344i \(0.295881\pi\)
\(234\) −2.10613 + 3.27720i −0.137682 + 0.214237i
\(235\) −2.48005 + 1.22923i −0.161780 + 0.0801862i
\(236\) −10.8133 + 6.94930i −0.703887 + 0.452361i
\(237\) −5.45384 + 14.6223i −0.354265 + 0.949821i
\(238\) 0.196991 2.75429i 0.0127690 0.178534i
\(239\) 18.4280 2.64954i 1.19201 0.171385i 0.482380 0.875962i \(-0.339773\pi\)
0.709627 + 0.704577i \(0.248863\pi\)
\(240\) 0.388352 + 2.20209i 0.0250680 + 0.142144i
\(241\) −0.249155 0.848545i −0.0160495 0.0546596i 0.951079 0.308948i \(-0.0999769\pi\)
−0.967128 + 0.254288i \(0.918159\pi\)
\(242\) 11.3807 20.8423i 0.731581 1.33979i
\(243\) −0.936950 + 0.349464i −0.0601054 + 0.0224181i
\(244\) −1.86093 12.9431i −0.119134 0.828595i
\(245\) 7.25195 + 12.3329i 0.463310 + 0.787922i
\(246\) −0.0630192 0.137993i −0.00401796 0.00879810i
\(247\) −14.0498 3.05636i −0.893971 0.194471i
\(248\) 0.557173 0.417094i 0.0353805 0.0264855i
\(249\) −2.94764 1.89433i −0.186799 0.120049i
\(250\) −9.93792 5.12228i −0.628529 0.323962i
\(251\) −0.916603 + 3.12166i −0.0578555 + 0.197038i −0.983349 0.181725i \(-0.941832\pi\)
0.925494 + 0.378762i \(0.123650\pi\)
\(252\) −0.548493 0.548493i −0.0345518 0.0345518i
\(253\) 25.4627 12.2814i 1.60083 0.772122i
\(254\) 5.13045i 0.321913i
\(255\) 7.10401 + 3.59107i 0.444870 + 0.224881i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −10.0141 + 2.17844i −0.624663 + 0.135887i −0.513746 0.857943i \(-0.671742\pi\)
−0.110917 + 0.993830i \(0.535379\pi\)
\(258\) −7.02697 9.38694i −0.437480 0.584405i
\(259\) −2.75677 4.28961i −0.171297 0.266544i
\(260\) 4.47435 7.47389i 0.277488 0.463511i
\(261\) −5.35543 6.18049i −0.331493 0.382563i
\(262\) 8.09206 + 6.05764i 0.499929 + 0.374242i
\(263\) 3.79624 + 10.1781i 0.234086 + 0.627610i 0.999880 0.0154761i \(-0.00492641\pi\)
−0.765794 + 0.643086i \(0.777654\pi\)
\(264\) −5.65588 + 1.66072i −0.348096 + 0.102210i
\(265\) 15.7649 + 12.8069i 0.968430 + 0.786721i
\(266\) 1.18934 2.60429i 0.0729229 0.159679i
\(267\) −0.904610 + 1.20842i −0.0553612 + 0.0739539i
\(268\) 14.0116 + 1.00213i 0.855896 + 0.0612149i
\(269\) 0.155333 0.0709382i 0.00947083 0.00432518i −0.410674 0.911782i \(-0.634707\pi\)
0.420145 + 0.907457i \(0.361979\pi\)
\(270\) 2.06921 0.847564i 0.125928 0.0515811i
\(271\) −3.24048 + 22.5380i −0.196845 + 1.36909i 0.616523 + 0.787337i \(0.288541\pi\)
−0.813368 + 0.581750i \(0.802368\pi\)
\(272\) 0.756701 + 3.47850i 0.0458817 + 0.210915i
\(273\) 0.215571 + 3.01407i 0.0130469 + 0.182420i
\(274\) 13.9338 + 4.09132i 0.841770 + 0.247166i
\(275\) 10.5171 27.5330i 0.634202 1.66030i
\(276\) −4.52767 1.58120i −0.272534 0.0951769i
\(277\) −0.179460 + 0.179460i −0.0107827 + 0.0107827i −0.712478 0.701695i \(-0.752427\pi\)
0.701695 + 0.712478i \(0.252427\pi\)
\(278\) 4.04966 + 7.41640i 0.242882 + 0.444806i
\(279\) −0.525998 0.455780i −0.0314907 0.0272868i
\(280\) 1.26480 + 1.18690i 0.0755861 + 0.0709310i
\(281\) −0.142098 0.0204307i −0.00847688 0.00121879i 0.138075 0.990422i \(-0.455908\pi\)
−0.146552 + 0.989203i \(0.546818\pi\)
\(282\) −0.263129 + 1.20958i −0.0156691 + 0.0720296i
\(283\) −30.2609 11.2867i −1.79883 0.670928i −0.997338 0.0729171i \(-0.976769\pi\)
−0.801488 0.598010i \(-0.795958\pi\)
\(284\) 5.82929 5.05111i 0.345905 0.299728i
\(285\) 5.60003 + 6.06256i 0.331717 + 0.359115i
\(286\) 20.8881 + 9.53930i 1.23514 + 0.564070i
\(287\) −0.103279 0.0563947i −0.00609638 0.00332888i
\(288\) 0.877679 + 0.479249i 0.0517177 + 0.0282400i
\(289\) −3.93639 1.79769i −0.231553 0.105747i
\(290\) 12.4079 + 13.4327i 0.728619 + 0.788798i
\(291\) 3.72245 3.22552i 0.218214 0.189083i
\(292\) −0.472545 0.176250i −0.0276536 0.0103143i
\(293\) 1.08344 4.98049i 0.0632952 0.290963i −0.934609 0.355678i \(-0.884250\pi\)
0.997904 + 0.0647144i \(0.0206136\pi\)
\(294\) 6.33318 + 0.910574i 0.369359 + 0.0531058i
\(295\) −20.9588 19.6680i −1.22027 1.14512i
\(296\) 4.96801 + 4.30481i 0.288760 + 0.250212i
\(297\) 2.82501 + 5.17362i 0.163924 + 0.300204i
\(298\) −13.8903 + 13.8903i −0.804644 + 0.804644i
\(299\) 9.29618 + 16.2057i 0.537612 + 0.937198i
\(300\) −4.56438 + 2.04119i −0.263525 + 0.117848i
\(301\) −8.72707 2.56250i −0.503020 0.147700i
\(302\) −0.636770 8.90321i −0.0366420 0.512322i
\(303\) −2.18103 10.0261i −0.125297 0.575982i
\(304\) −0.525275 + 3.65337i −0.0301266 + 0.209535i
\(305\) 27.0573 11.0829i 1.54930 0.634604i
\(306\) 3.23815 1.47882i 0.185113 0.0845383i
\(307\) 12.4573 + 0.890962i 0.710974 + 0.0508499i 0.422142 0.906530i \(-0.361278\pi\)
0.288833 + 0.957380i \(0.406733\pi\)
\(308\) −2.74014 + 3.66040i −0.156134 + 0.208571i
\(309\) −6.72847 + 14.7333i −0.382769 + 0.838148i
\(310\) 1.20794 + 0.981290i 0.0686063 + 0.0557335i
\(311\) 5.80163 1.70351i 0.328980 0.0965974i −0.113071 0.993587i \(-0.536069\pi\)
0.442052 + 0.896989i \(0.354251\pi\)
\(312\) −1.36138 3.64999i −0.0770727 0.206640i
\(313\) −4.96472 3.71654i −0.280622 0.210071i 0.449690 0.893185i \(-0.351535\pi\)
−0.730312 + 0.683113i \(0.760625\pi\)
\(314\) −11.7815 13.5966i −0.664869 0.767299i
\(315\) 0.890925 1.48819i 0.0501980 0.0838499i
\(316\) −8.43740 13.1288i −0.474641 0.738555i
\(317\) 8.02425 + 10.7191i 0.450687 + 0.602047i 0.967133 0.254273i \(-0.0818361\pi\)
−0.516446 + 0.856320i \(0.672745\pi\)
\(318\) 8.87590 1.93083i 0.497736 0.108276i
\(319\) −31.5684 + 36.4319i −1.76749 + 2.03980i
\(320\) −1.99559 1.00877i −0.111557 0.0563919i
\(321\) 15.0799i 0.841676i
\(322\) −3.54657 + 1.12282i −0.197642 + 0.0625724i
\(323\) 9.29080 + 9.29080i 0.516954 + 0.516954i
\(324\) 0.281733 0.959493i 0.0156518 0.0533052i
\(325\) 18.6452 + 5.63463i 1.03425 + 0.312553i
\(326\) −9.68603 6.22483i −0.536460 0.344762i
\(327\) 9.75292 7.30095i 0.539338 0.403743i
\(328\) 0.148235 + 0.0322465i 0.00818491 + 0.00178052i
\(329\) 0.398882 + 0.873429i 0.0219911 + 0.0481537i
\(330\) −6.68110 11.3621i −0.367783 0.625465i
\(331\) 1.61451 + 11.2292i 0.0887416 + 0.617212i 0.984854 + 0.173385i \(0.0554704\pi\)
−0.896113 + 0.443827i \(0.853621\pi\)
\(332\) 3.28295 1.22448i 0.180175 0.0672019i
\(333\) 3.15040 5.76953i 0.172641 0.316168i
\(334\) −0.444854 1.51503i −0.0243413 0.0828990i
\(335\) 5.45533 + 30.9336i 0.298057 + 1.69008i
\(336\) 0.767791 0.110392i 0.0418865 0.00602236i
\(337\) −1.68486 + 23.5574i −0.0917803 + 1.28326i 0.717801 + 0.696248i \(0.245149\pi\)
−0.809581 + 0.587008i \(0.800306\pi\)
\(338\) −0.760355 + 2.03859i −0.0413579 + 0.110885i
\(339\) 9.81847 6.30994i 0.533266 0.342709i
\(340\) −7.13207 + 3.53500i −0.386791 + 0.191712i
\(341\) −2.21806 + 3.45137i −0.120115 + 0.186902i
\(342\) 3.68153 0.263308i 0.199074 0.0142381i
\(343\) 9.12162 4.98078i 0.492521 0.268937i
\(344\) 11.7257 0.632209
\(345\) 0.964132 10.6804i 0.0519071 0.575012i
\(346\) 13.7159 0.737371
\(347\) 11.4087 6.22962i 0.612451 0.334424i −0.142907 0.989736i \(-0.545645\pi\)
0.755358 + 0.655313i \(0.227463\pi\)
\(348\) 8.15713 0.583409i 0.437268 0.0312740i
\(349\) 7.40403 11.5209i 0.396329 0.616699i −0.584541 0.811364i \(-0.698726\pi\)
0.980870 + 0.194665i \(0.0623619\pi\)
\(350\) −1.88549 + 3.38927i −0.100784 + 0.181164i
\(351\) −3.27720 + 2.10613i −0.174924 + 0.112417i
\(352\) 2.05997 5.52300i 0.109797 0.294377i
\(353\) 1.53683 21.4877i 0.0817971 1.14367i −0.776361 0.630288i \(-0.782937\pi\)
0.858158 0.513385i \(-0.171609\pi\)
\(354\) −12.7230 + 1.82929i −0.676219 + 0.0972256i
\(355\) 14.1285 + 9.89229i 0.749863 + 0.525028i
\(356\) −0.425275 1.44835i −0.0225395 0.0767626i
\(357\) 1.32336 2.42356i 0.0700399 0.128268i
\(358\) 2.51662 0.938652i 0.133008 0.0496093i
\(359\) 3.24093 + 22.5412i 0.171050 + 1.18968i 0.876672 + 0.481088i \(0.159758\pi\)
−0.705622 + 0.708588i \(0.749333\pi\)
\(360\) −0.561523 + 2.16442i −0.0295948 + 0.114075i
\(361\) −2.23369 4.89109i −0.117562 0.257426i
\(362\) −19.5516 4.25320i −1.02761 0.223543i
\(363\) 19.0105 14.2311i 0.997790 0.746937i
\(364\) −2.54208 1.63369i −0.133241 0.0856288i
\(365\) 0.124966 1.12080i 0.00654101 0.0586655i
\(366\) 3.68398 12.5465i 0.192565 0.655815i
\(367\) −17.0929 17.0929i −0.892242 0.892242i 0.102492 0.994734i \(-0.467318\pi\)
−0.994734 + 0.102492i \(0.967318\pi\)
\(368\) 3.97915 2.67701i 0.207427 0.139549i
\(369\) 0.151702i 0.00789728i
\(370\) −6.63127 + 13.1183i −0.344743 + 0.681986i
\(371\) 4.61411 5.32497i 0.239553 0.276458i
\(372\) 0.680090 0.147944i 0.0352610 0.00767056i
\(373\) 3.32475 + 4.44134i 0.172149 + 0.229964i 0.878315 0.478082i \(-0.158668\pi\)
−0.706166 + 0.708046i \(0.749577\pi\)
\(374\) −11.3449 17.6530i −0.586629 0.912813i
\(375\) −6.91198 8.78775i −0.356933 0.453798i
\(376\) −0.810634 0.935521i −0.0418052 0.0482458i
\(377\) −25.5038 19.0919i −1.31351 0.983282i
\(378\) −0.271075 0.726780i −0.0139426 0.0373815i
\(379\) 12.7300 3.73787i 0.653897 0.192001i 0.0620764 0.998071i \(-0.480228\pi\)
0.591820 + 0.806070i \(0.298410\pi\)
\(380\) −8.20930 + 0.849901i −0.421128 + 0.0435990i
\(381\) 2.13126 4.66682i 0.109188 0.239088i
\(382\) 3.25034 4.34195i 0.166302 0.222154i
\(383\) −6.43509 0.460246i −0.328817 0.0235175i −0.0940453 0.995568i \(-0.529980\pi\)
−0.234772 + 0.972050i \(0.575434\pi\)
\(384\) −0.909632 + 0.415415i −0.0464195 + 0.0211991i
\(385\) −9.43046 3.94981i −0.480621 0.201301i
\(386\) 2.18493 15.1965i 0.111210 0.773484i
\(387\) −2.49248 11.4578i −0.126700 0.582431i
\(388\) 0.351381 + 4.91295i 0.0178387 + 0.249417i
\(389\) −21.1877 6.22126i −1.07426 0.315430i −0.303678 0.952775i \(-0.598215\pi\)
−0.770579 + 0.637344i \(0.780033\pi\)
\(390\) 7.17478 4.93978i 0.363309 0.250135i
\(391\) 0.859901 17.0508i 0.0434871 0.862295i
\(392\) −4.52429 + 4.52429i −0.228511 + 0.228511i
\(393\) 4.84436 + 8.87179i 0.244366 + 0.447522i
\(394\) 10.6220 + 9.20398i 0.535127 + 0.463690i
\(395\) 23.8797 25.4469i 1.20152 1.28037i
\(396\) −5.83466 0.838898i −0.293203 0.0421562i
\(397\) 3.48642 16.0268i 0.174979 0.804363i −0.803053 0.595907i \(-0.796793\pi\)
0.978032 0.208456i \(-0.0668438\pi\)
\(398\) 1.36444 + 0.508911i 0.0683934 + 0.0255094i
\(399\) 2.16372 1.87487i 0.108321 0.0938610i
\(400\) 1.10128 4.87721i 0.0550638 0.243861i
\(401\) 22.6478 + 10.3429i 1.13098 + 0.516501i 0.890876 0.454247i \(-0.150092\pi\)
0.240103 + 0.970747i \(0.422819\pi\)
\(402\) 12.3291 + 6.73221i 0.614920 + 0.335772i
\(403\) −2.37967 1.29940i −0.118540 0.0647277i
\(404\) 9.33332 + 4.26238i 0.464350 + 0.212061i
\(405\) 2.23431 + 0.0886105i 0.111024 + 0.00440309i
\(406\) 4.79413 4.15414i 0.237929 0.206166i
\(407\) −36.3061 13.5415i −1.79963 0.671226i
\(408\) −0.756701 + 3.47850i −0.0374623 + 0.172211i
\(409\) 5.08236 + 0.730732i 0.251306 + 0.0361324i 0.266817 0.963747i \(-0.414028\pi\)
−0.0155103 + 0.999880i \(0.504937\pi\)
\(410\) 0.0107722 + 0.339045i 0.000532002 + 0.0167442i
\(411\) 10.9750 + 9.50989i 0.541357 + 0.469088i
\(412\) −7.76239 14.2158i −0.382425 0.700360i
\(413\) −7.05023 + 7.05023i −0.346919 + 0.346919i
\(414\) −3.46166 3.31917i −0.170131 0.163128i
\(415\) 4.44304 + 6.45329i 0.218100 + 0.316780i
\(416\) 3.73781 + 1.09752i 0.183261 + 0.0538103i
\(417\) 0.602817 + 8.42848i 0.0295201 + 0.412745i
\(418\) −4.62474 21.2596i −0.226204 1.03984i
\(419\) 3.22085 22.4015i 0.157349 1.09439i −0.746144 0.665784i \(-0.768097\pi\)
0.903493 0.428602i \(-0.140994\pi\)
\(420\) 0.657444 + 1.60506i 0.0320800 + 0.0783189i
\(421\) −0.0852494 + 0.0389321i −0.00415480 + 0.00189743i −0.417491 0.908681i \(-0.637091\pi\)
0.413337 + 0.910578i \(0.364363\pi\)
\(422\) −7.82769 0.559848i −0.381046 0.0272530i
\(423\) −0.741829 + 0.990967i −0.0360690 + 0.0481825i
\(424\) −3.77342 + 8.26263i −0.183253 + 0.401269i
\(425\) −11.5497 13.5432i −0.560244 0.656940i
\(426\) 7.40082 2.17308i 0.358571 0.105286i
\(427\) −3.54462 9.50349i −0.171536 0.459906i
\(428\) 12.0720 + 9.03702i 0.583525 + 0.436821i
\(429\) 15.0378 + 17.3545i 0.726030 + 0.837883i
\(430\) 6.38416 + 25.4304i 0.307872 + 1.22636i
\(431\) −0.836111 1.30101i −0.0402740 0.0626676i 0.820533 0.571599i \(-0.193677\pi\)
−0.860807 + 0.508932i \(0.830041\pi\)
\(432\) 0.599278 + 0.800541i 0.0288328 + 0.0385161i
\(433\) −3.53880 + 0.769818i −0.170064 + 0.0369951i −0.296791 0.954943i \(-0.595916\pi\)
0.126727 + 0.991938i \(0.459553\pi\)
\(434\) 0.353543 0.408010i 0.0169706 0.0195851i
\(435\) 5.70649 + 17.3733i 0.273605 + 0.832986i
\(436\) 12.1829i 0.583456i
\(437\) 7.01340 16.2524i 0.335496 0.777459i
\(438\) −0.356625 0.356625i −0.0170402 0.0170402i
\(439\) −0.567656 + 1.93326i −0.0270928 + 0.0922695i −0.971930 0.235272i \(-0.924402\pi\)
0.944837 + 0.327541i \(0.106220\pi\)
\(440\) 13.0997 + 1.46057i 0.624503 + 0.0696300i
\(441\) 5.38260 + 3.45919i 0.256314 + 0.164723i
\(442\) 11.1017 8.31066i 0.528056 0.395298i
\(443\) −5.41278 1.17748i −0.257169 0.0559437i 0.0821323 0.996621i \(-0.473827\pi\)
−0.339301 + 0.940678i \(0.610191\pi\)
\(444\) 2.73078 + 5.97958i 0.129597 + 0.283778i
\(445\) 2.90960 1.71089i 0.137928 0.0811040i
\(446\) 0.0318481 + 0.221508i 0.00150805 + 0.0104887i
\(447\) −18.4053 + 6.86482i −0.870541 + 0.324695i
\(448\) −0.371747 + 0.680804i −0.0175634 + 0.0321650i
\(449\) −3.06691 10.4450i −0.144737 0.492928i 0.854930 0.518743i \(-0.173600\pi\)
−0.999667 + 0.0258155i \(0.991782\pi\)
\(450\) −4.99984 0.0393825i −0.235695 0.00185651i
\(451\) −0.885129 + 0.127262i −0.0416791 + 0.00599255i
\(452\) −0.832616 + 11.6415i −0.0391630 + 0.547570i
\(453\) 3.11930 8.36317i 0.146558 0.392936i
\(454\) 0.500209 0.321465i 0.0234760 0.0150871i
\(455\) 2.15906 6.40266i 0.101218 0.300161i
\(456\) −1.99547 + 3.10501i −0.0934465 + 0.145406i
\(457\) 15.0313 1.07506i 0.703132 0.0502890i 0.284805 0.958585i \(-0.408071\pi\)
0.418327 + 0.908296i \(0.362617\pi\)
\(458\) −0.314966 + 0.171984i −0.0147174 + 0.00803630i
\(459\) 3.55985 0.166160
\(460\) 7.97230 + 7.17234i 0.371710 + 0.334412i
\(461\) −20.1085 −0.936547 −0.468274 0.883584i \(-0.655124\pi\)
−0.468274 + 0.883584i \(0.655124\pi\)
\(462\) −4.01311 + 2.19132i −0.186707 + 0.101950i
\(463\) −15.4499 + 1.10500i −0.718017 + 0.0513536i −0.425567 0.904927i \(-0.639925\pi\)
−0.292451 + 0.956281i \(0.594471\pi\)
\(464\) −4.42134 + 6.87974i −0.205256 + 0.319384i
\(465\) 0.691137 + 1.39441i 0.0320507 + 0.0646642i
\(466\) −13.8559 + 8.90468i −0.641864 + 0.412501i
\(467\) −4.71479 + 12.6409i −0.218175 + 0.584949i −0.999218 0.0395273i \(-0.987415\pi\)
0.781044 + 0.624476i \(0.214688\pi\)
\(468\) 0.277910 3.88568i 0.0128464 0.179616i
\(469\) 10.7855 1.55072i 0.498027 0.0716055i
\(470\) 1.58758 2.26743i 0.0732294 0.104589i
\(471\) −5.06861 17.2621i −0.233549 0.795395i
\(472\) 6.16018 11.2815i 0.283545 0.519274i
\(473\) −64.7612 + 24.1547i −2.97773 + 1.11063i
\(474\) −2.22101 15.4474i −0.102014 0.709524i
\(475\) −6.31285 17.3414i −0.289654 0.795676i
\(476\) 1.14710 + 2.51179i 0.0525771 + 0.115128i
\(477\) 8.87590 + 1.93083i 0.406399 + 0.0884068i
\(478\) −14.9041 + 11.1570i −0.681696 + 0.510311i
\(479\) 23.0458 + 14.8106i 1.05299 + 0.676714i 0.948166 0.317777i \(-0.102936\pi\)
0.104822 + 0.994491i \(0.466573\pi\)
\(480\) −1.39620 1.74661i −0.0637273 0.0797214i
\(481\) 7.21468 24.5710i 0.328961 1.12034i
\(482\) 0.625343 + 0.625343i 0.0284836 + 0.0284836i
\(483\) −3.69251 0.451943i −0.168015 0.0205641i
\(484\) 23.7470i 1.07941i
\(485\) −10.4638 + 3.43696i −0.475135 + 0.156064i
\(486\) 0.654861 0.755750i 0.0297051 0.0342815i
\(487\) 1.49402 0.325004i 0.0677005 0.0147274i −0.178587 0.983924i \(-0.557153\pi\)
0.246288 + 0.969197i \(0.420789\pi\)
\(488\) 7.83625 + 10.4680i 0.354731 + 0.473864i
\(489\) −6.22483 9.68603i −0.281497 0.438018i
\(490\) −12.2754 7.34886i −0.554547 0.331988i
\(491\) 11.0808 + 12.7879i 0.500069 + 0.577111i 0.948528 0.316693i \(-0.102572\pi\)
−0.448459 + 0.893803i \(0.648027\pi\)
\(492\) 0.121444 + 0.0909115i 0.00547510 + 0.00409861i
\(493\) 10.1737 + 27.2768i 0.458201 + 1.22849i
\(494\) 13.7960 4.05088i 0.620712 0.182257i
\(495\) −1.35735 13.1108i −0.0610082 0.589286i
\(496\) −0.289127 + 0.633100i −0.0129822 + 0.0284270i
\(497\) 3.58552 4.78970i 0.160833 0.214847i
\(498\) 3.49494 + 0.249963i 0.156612 + 0.0112011i
\(499\) −11.8295 + 5.40235i −0.529561 + 0.241843i −0.662207 0.749321i \(-0.730380\pi\)
0.132646 + 0.991164i \(0.457653\pi\)
\(500\) 11.1772 0.267018i 0.499857 0.0119414i
\(501\) 0.224714 1.56292i 0.0100395 0.0698262i
\(502\) −0.691571 3.17910i −0.0308663 0.141890i
\(503\) 2.05131 + 28.6811i 0.0914634 + 1.27883i 0.811279 + 0.584660i \(0.198772\pi\)
−0.719815 + 0.694166i \(0.755773\pi\)
\(504\) 0.744266 + 0.218536i 0.0331522 + 0.00973438i
\(505\) −4.16254 + 22.5625i −0.185231 + 1.00402i
\(506\) −16.4623 + 22.9821i −0.731837 + 1.02168i
\(507\) −1.53851 + 1.53851i −0.0683274 + 0.0683274i
\(508\) 2.45876 + 4.50288i 0.109090 + 0.199783i
\(509\) 25.7347 + 22.2992i 1.14067 + 0.988396i 0.999999 0.00166013i \(-0.000528435\pi\)
0.140671 + 0.990056i \(0.455074\pi\)
\(510\) −7.95605 + 0.252782i −0.352300 + 0.0111934i
\(511\) −0.387231 0.0556754i −0.0171301 0.00246294i
\(512\) 0.212565 0.977147i 0.00939415 0.0431842i
\(513\) 3.45822 + 1.28985i 0.152684 + 0.0569483i
\(514\) 7.74516 6.71122i 0.341624 0.296019i
\(515\) 26.6044 24.5747i 1.17233 1.08289i
\(516\) 10.6661 + 4.87105i 0.469549 + 0.214436i
\(517\) 6.40428 + 3.49700i 0.281660 + 0.153798i
\(518\) 4.47535 + 2.44373i 0.196636 + 0.107371i
\(519\) 12.4764 + 5.69779i 0.547654 + 0.250105i
\(520\) −0.345192 + 8.70401i −0.0151377 + 0.381696i
\(521\) 33.1732 28.7448i 1.45334 1.25933i 0.546772 0.837282i \(-0.315856\pi\)
0.906573 0.422049i \(-0.138689\pi\)
\(522\) 7.66234 + 2.85791i 0.335372 + 0.125087i
\(523\) −4.58828 + 21.0920i −0.200631 + 0.922287i 0.761173 + 0.648549i \(0.224624\pi\)
−0.961804 + 0.273738i \(0.911740\pi\)
\(524\) −10.0053 1.43855i −0.437086 0.0628434i
\(525\) −3.12306 + 2.29973i −0.136301 + 0.100369i
\(526\) −8.20974 7.11378i −0.357962 0.310176i
\(527\) 1.18741 + 2.17457i 0.0517242 + 0.0947259i
\(528\) 4.16815 4.16815i 0.181396 0.181396i
\(529\) −21.7766 + 7.40120i −0.946811 + 0.321791i
\(530\) −19.9742 3.68503i −0.867624 0.160067i
\(531\) −12.3331 3.62134i −0.535213 0.157153i
\(532\) 0.204245 + 2.85571i 0.00885513 + 0.123811i
\(533\) −0.125620 0.577466i −0.00544120 0.0250128i
\(534\) 0.214824 1.49414i 0.00929635 0.0646576i
\(535\) −13.0265 + 31.1018i −0.563185 + 1.34465i
\(536\) −12.7780 + 5.83551i −0.551924 + 0.252055i
\(537\) 2.67913 + 0.191615i 0.115613 + 0.00826881i
\(538\) −0.102336 + 0.136704i −0.00441200 + 0.00589374i
\(539\) 15.6677 34.3076i 0.674857 1.47773i
\(540\) −1.40991 + 1.73556i −0.0606728 + 0.0746864i
\(541\) −32.8758 + 9.65320i −1.41344 + 0.415023i −0.897277 0.441467i \(-0.854458\pi\)
−0.516163 + 0.856491i \(0.672640\pi\)
\(542\) −7.95722 21.3341i −0.341792 0.916379i
\(543\) −16.0179 11.9909i −0.687396 0.514578i
\(544\) −2.33121 2.69036i −0.0999497 0.115348i
\(545\) −26.4219 + 6.63307i −1.13179 + 0.284130i
\(546\) −1.63369 2.54208i −0.0699156 0.108791i
\(547\) 11.4158 + 15.2497i 0.488104 + 0.652031i 0.975202 0.221316i \(-0.0710353\pi\)
−0.487098 + 0.873348i \(0.661944\pi\)
\(548\) −14.1901 + 3.08688i −0.606173 + 0.131865i
\(549\) 8.56307 9.88231i 0.365463 0.421767i
\(550\) 3.96457 + 29.2054i 0.169050 + 1.24532i
\(551\) 30.1843i 1.28590i
\(552\) 4.73163 0.782098i 0.201392 0.0332883i
\(553\) −8.55995 8.55995i −0.364006 0.364006i
\(554\) 0.0715024 0.243515i 0.00303785 0.0103460i
\(555\) −11.4815 + 9.17806i −0.487364 + 0.389587i
\(556\) −7.10860 4.56842i −0.301472 0.193744i
\(557\) 29.1644 21.8322i 1.23573 0.925059i 0.236816 0.971554i \(-0.423896\pi\)
0.998919 + 0.0464950i \(0.0148052\pi\)
\(558\) 0.680090 + 0.147944i 0.0287905 + 0.00626299i
\(559\) −18.9757 41.5510i −0.802587 1.75742i
\(560\) −1.67891 0.435566i −0.0709468 0.0184060i
\(561\) −2.98635 20.7705i −0.126084 0.876932i
\(562\) 0.134508 0.0501689i 0.00567388 0.00211625i
\(563\) −2.29063 + 4.19497i −0.0965383 + 0.176797i −0.921485 0.388414i \(-0.873023\pi\)
0.824947 + 0.565210i \(0.191205\pi\)
\(564\) −0.348749 1.18773i −0.0146850 0.0500124i
\(565\) −25.7011 + 4.53254i −1.08125 + 0.190685i
\(566\) 31.9686 4.59638i 1.34374 0.193200i
\(567\) 0.0553369 0.773710i 0.00232393 0.0324928i
\(568\) −2.69551 + 7.22694i −0.113101 + 0.303236i
\(569\) 13.9007 8.93343i 0.582747 0.374509i −0.215803 0.976437i \(-0.569237\pi\)
0.798550 + 0.601928i \(0.205601\pi\)
\(570\) −7.82051 2.63717i −0.327565 0.110459i
\(571\) 3.88753 6.04912i 0.162688 0.253148i −0.750333 0.661060i \(-0.770107\pi\)
0.913021 + 0.407913i \(0.133743\pi\)
\(572\) −22.9048 + 1.63818i −0.957697 + 0.0684959i
\(573\) 4.76033 2.59934i 0.198866 0.108589i
\(574\) 0.117673 0.00491158
\(575\) −11.2146 + 21.1951i −0.467680 + 0.883898i
\(576\) −1.00000 −0.0416667
\(577\) 12.5969 6.87840i 0.524414 0.286352i −0.195155 0.980772i \(-0.562521\pi\)
0.719569 + 0.694421i \(0.244339\pi\)
\(578\) 4.31643 0.308717i 0.179540 0.0128409i
\(579\) 8.30036 12.9156i 0.344951 0.536754i
\(580\) −17.3278 5.84315i −0.719498 0.242624i
\(581\) 2.28645 1.46941i 0.0948578 0.0609614i
\(582\) −1.72129 + 4.61495i −0.0713496 + 0.191296i
\(583\) 3.81979 53.4076i 0.158199 2.21192i
\(584\) 0.499211 0.0717757i 0.0206575 0.00297010i
\(585\) 8.57847 1.51287i 0.354676 0.0625493i
\(586\) 1.43598 + 4.89051i 0.0593199 + 0.202025i
\(587\) −8.88271 + 16.2675i −0.366629 + 0.671431i −0.994249 0.107089i \(-0.965847\pi\)
0.627621 + 0.778519i \(0.284029\pi\)
\(588\) −5.99489 + 2.23598i −0.247225 + 0.0922103i
\(589\) 0.365589 + 2.54273i 0.0150638 + 0.104771i
\(590\) 27.8210 + 7.21771i 1.14537 + 0.297148i
\(591\) 5.83861 + 12.7848i 0.240168 + 0.525895i
\(592\) −6.42339 1.39732i −0.264000 0.0574297i
\(593\) −21.0093 + 15.7274i −0.862749 + 0.645846i −0.936206 0.351452i \(-0.885688\pi\)
0.0734565 + 0.997298i \(0.476597\pi\)
\(594\) −4.95890 3.18689i −0.203466 0.130760i
\(595\) −4.82296 + 3.85536i −0.197722 + 0.158054i
\(596\) 5.53431 18.8481i 0.226694 0.772050i
\(597\) 1.02973 + 1.02973i 0.0421441 + 0.0421441i
\(598\) −15.9256 9.76820i −0.651247 0.399451i
\(599\) 31.8778i 1.30249i 0.758867 + 0.651245i \(0.225753\pi\)
−0.758867 + 0.651245i \(0.774247\pi\)
\(600\) 3.02782 3.97898i 0.123610 0.162441i
\(601\) −8.96436 + 10.3454i −0.365664 + 0.421998i −0.908529 0.417821i \(-0.862794\pi\)
0.542866 + 0.839820i \(0.317339\pi\)
\(602\) 8.88764 1.93339i 0.362233 0.0787990i
\(603\) 8.41830 + 11.2455i 0.342820 + 0.457953i
\(604\) 4.82573 + 7.50899i 0.196356 + 0.305536i
\(605\) −51.5018 + 12.9292i −2.09385 + 0.525648i
\(606\) 6.71923 + 7.75440i 0.272950 + 0.315001i
\(607\) 13.2885 + 9.94765i 0.539364 + 0.403763i 0.833932 0.551868i \(-0.186085\pi\)
−0.294568 + 0.955631i \(0.595176\pi\)
\(608\) −1.28985 3.45822i −0.0523103 0.140249i
\(609\) 6.08658 1.78718i 0.246641 0.0724203i
\(610\) −18.4362 + 22.6944i −0.746460 + 0.918870i
\(611\) −2.00324 + 4.38649i −0.0810425 + 0.177458i
\(612\) −2.13334 + 2.84981i −0.0862351 + 0.115197i
\(613\) 42.3009 + 3.02542i 1.70852 + 0.122195i 0.891087 0.453833i \(-0.149944\pi\)
0.817429 + 0.576029i \(0.195398\pi\)
\(614\) −11.3605 + 5.18816i −0.458472 + 0.209377i
\(615\) −0.131045 + 0.312881i −0.00528426 + 0.0126166i
\(616\) 0.650722 4.52587i 0.0262183 0.182352i
\(617\) 1.09836 + 5.04907i 0.0442182 + 0.203268i 0.993956 0.109778i \(-0.0350141\pi\)
−0.949738 + 0.313046i \(0.898650\pi\)
\(618\) −1.15548 16.1557i −0.0464802 0.649878i
\(619\) −28.5794 8.39167i −1.14870 0.337290i −0.348670 0.937245i \(-0.613367\pi\)
−0.800033 + 0.599956i \(0.795185\pi\)
\(620\) −1.53046 0.282354i −0.0614650 0.0113396i
\(621\) −1.77001 4.45725i −0.0710279 0.178863i
\(622\) −4.27557 + 4.27557i −0.171435 + 0.171435i
\(623\) −0.561152 1.02767i −0.0224821 0.0411729i
\(624\) 2.94411 + 2.55108i 0.117859 + 0.102125i
\(625\) 6.66458 + 24.0953i 0.266583 + 0.963812i
\(626\) 6.13858 + 0.882594i 0.245347 + 0.0352755i
\(627\) 4.62474 21.2596i 0.184694 0.849026i
\(628\) 16.8565 + 6.28716i 0.672649 + 0.250885i
\(629\) −17.6854 + 15.3245i −0.705163 + 0.611027i
\(630\) −0.0687340 + 1.73313i −0.00273843 + 0.0690494i
\(631\) 3.31772 + 1.51515i 0.132076 + 0.0603173i 0.480357 0.877073i \(-0.340507\pi\)
−0.348281 + 0.937390i \(0.613234\pi\)
\(632\) 13.6973 + 7.47930i 0.544850 + 0.297510i
\(633\) −6.88775 3.76100i −0.273764 0.149486i
\(634\) −12.1799 5.56236i −0.483724 0.220909i
\(635\) −8.42703 + 7.78412i −0.334417 + 0.308903i
\(636\) −6.86484 + 5.94842i −0.272209 + 0.235870i
\(637\) 23.3538 + 8.71051i 0.925310 + 0.345123i
\(638\) 10.2470 47.1047i 0.405682 1.86489i
\(639\) 7.63475 + 1.09771i 0.302026 + 0.0434248i
\(640\) 2.23494 0.0710092i 0.0883438 0.00280689i
\(641\) 3.76074 + 3.25870i 0.148540 + 0.128711i 0.725961 0.687736i \(-0.241395\pi\)
−0.577421 + 0.816447i \(0.695941\pi\)
\(642\) 7.22701 + 13.2353i 0.285227 + 0.522355i
\(643\) −31.9392 + 31.9392i −1.25956 + 1.25956i −0.308254 + 0.951304i \(0.599745\pi\)
−0.951304 + 0.308254i \(0.900255\pi\)
\(644\) 2.57464 2.68517i 0.101455 0.105810i
\(645\) −4.75695 + 25.7844i −0.187305 + 1.01526i
\(646\) −12.6070 3.70173i −0.496014 0.145643i
\(647\) −1.73282 24.2280i −0.0681243 0.952502i −0.910473 0.413569i \(-0.864282\pi\)
0.842348 0.538933i \(-0.181173\pi\)
\(648\) 0.212565 + 0.977147i 0.00835035 + 0.0383860i
\(649\) −10.7830 + 74.9976i −0.423271 + 2.94392i
\(650\) −19.0649 + 3.99032i −0.747788 + 0.156513i
\(651\) 0.491087 0.224272i 0.0192472 0.00878991i
\(652\) 11.4845 + 0.821386i 0.449767 + 0.0321679i
\(653\) 10.8204 14.4544i 0.423436 0.565645i −0.537199 0.843455i \(-0.680518\pi\)
0.960636 + 0.277810i \(0.0896087\pi\)
\(654\) −5.06096 + 11.0820i −0.197899 + 0.433339i
\(655\) −2.32759 22.4825i −0.0909466 0.878465i
\(656\) −0.145557 + 0.0427393i −0.00568304 + 0.00166869i
\(657\) −0.176250 0.472545i −0.00687618 0.0184357i
\(658\) −0.768680 0.575427i −0.0299663 0.0224325i
\(659\) 28.8820 + 33.3316i 1.12508 + 1.29841i 0.949436 + 0.313962i \(0.101656\pi\)
0.175647 + 0.984453i \(0.443798\pi\)
\(660\) 11.3092 + 6.77039i 0.440208 + 0.263537i
\(661\) 21.1067 + 32.8427i 0.820956 + 1.27743i 0.957972 + 0.286863i \(0.0926125\pi\)
−0.137016 + 0.990569i \(0.543751\pi\)
\(662\) −6.79860 9.08186i −0.264235 0.352977i
\(663\) 13.5509 2.94781i 0.526272 0.114483i
\(664\) −2.29455 + 2.64805i −0.0890457 + 0.102764i
\(665\) −6.08219 + 1.99777i −0.235857 + 0.0774704i
\(666\) 6.57362i 0.254723i
\(667\) 29.0945 26.3008i 1.12654 1.01837i
\(668\) 1.11652 + 1.11652i 0.0431994 + 0.0431994i
\(669\) −0.0630478 + 0.214721i −0.00243757 + 0.00830160i
\(670\) −19.6129 24.5353i −0.757714 0.947882i
\(671\) −64.8434 41.6723i −2.50325 1.60874i
\(672\) −0.620969 + 0.464852i −0.0239544 + 0.0179320i
\(673\) −20.1841 4.39079i −0.778042 0.169253i −0.194027 0.980996i \(-0.562155\pi\)
−0.584014 + 0.811744i \(0.698519\pi\)
\(674\) −9.81111 21.4833i −0.377910 0.827507i
\(675\) −4.53166 2.11283i −0.174424 0.0813230i
\(676\) −0.309645 2.15363i −0.0119094 0.0828319i
\(677\) −26.6235 + 9.93007i −1.02323 + 0.381644i −0.804380 0.594116i \(-0.797502\pi\)
−0.218847 + 0.975759i \(0.570229\pi\)
\(678\) −5.59343 + 10.2436i −0.214814 + 0.393403i
\(679\) 1.07640 + 3.66588i 0.0413085 + 0.140684i
\(680\) 4.56552 6.52064i 0.175080 0.250055i
\(681\) 0.588547 0.0846203i 0.0225532 0.00324266i
\(682\) 0.292680 4.09220i 0.0112073 0.156699i
\(683\) −13.2463 + 35.5146i −0.506854 + 1.35893i 0.391711 + 0.920088i \(0.371883\pi\)
−0.898565 + 0.438841i \(0.855389\pi\)
\(684\) −3.10501 + 1.99547i −0.118723 + 0.0762987i
\(685\) −14.4206 29.0945i −0.550985 1.11164i
\(686\) −5.61882 + 8.74306i −0.214528 + 0.333811i
\(687\) −0.357948 + 0.0256009i −0.0136566 + 0.000976737i
\(688\) −10.2914 + 5.61955i −0.392357 + 0.214243i
\(689\) 35.3857 1.34809
\(690\) 4.27236 + 9.83600i 0.162646 + 0.374450i
\(691\) 18.6399 0.709094 0.354547 0.935038i \(-0.384635\pi\)
0.354547 + 0.935038i \(0.384635\pi\)
\(692\) −12.0382 + 6.57333i −0.457622 + 0.249881i
\(693\) −4.56076 + 0.326192i −0.173249 + 0.0123910i
\(694\) −7.02764 + 10.9352i −0.266765 + 0.415095i
\(695\) 6.03753 17.9042i 0.229017 0.679146i
\(696\) −6.87974 + 4.42134i −0.260776 + 0.167591i
\(697\) −0.188723 + 0.505987i −0.00714840 + 0.0191656i
\(698\) −0.976984 + 13.6600i −0.0369794 + 0.517039i
\(699\) −16.3029 + 2.34401i −0.616634 + 0.0886586i
\(700\) 0.0305485 3.87831i 0.00115462 0.146586i
\(701\) −7.96685 27.1326i −0.300904 1.02478i −0.961674 0.274196i \(-0.911588\pi\)
0.660770 0.750588i \(-0.270230\pi\)
\(702\) 1.86697 3.41909i 0.0704641 0.129045i
\(703\) −22.7330 + 8.47898i −0.857393 + 0.319791i
\(704\) 0.838898 + 5.83466i 0.0316171 + 0.219902i
\(705\) 2.38603 1.40302i 0.0898632 0.0528409i
\(706\) 8.94910 + 19.5958i 0.336804 + 0.737498i
\(707\) 7.77708 + 1.69180i 0.292487 + 0.0636267i
\(708\) 10.2900 7.70300i 0.386722 0.289497i
\(709\) 16.0724 + 10.3291i 0.603613 + 0.387919i 0.806457 0.591292i \(-0.201382\pi\)
−0.202844 + 0.979211i \(0.565018\pi\)
\(710\) −17.1412 1.91118i −0.643296 0.0717254i
\(711\) 4.39680 14.9741i 0.164893 0.561573i
\(712\) 1.06738 + 1.06738i 0.0400017 + 0.0400017i
\(713\) 2.13236 2.56796i 0.0798576 0.0961710i
\(714\) 2.76133i 0.103340i
\(715\) −16.0235 48.7833i −0.599246 1.82439i
\(716\) −1.75894 + 2.02992i −0.0657346 + 0.0758618i
\(717\) −18.1920 + 3.95743i −0.679393 + 0.147793i
\(718\) −13.6473 18.2307i −0.509313 0.680363i
\(719\) −8.17149 12.7151i −0.304745 0.474193i 0.654778 0.755821i \(-0.272762\pi\)
−0.959524 + 0.281628i \(0.909126\pi\)
\(720\) −0.544457 2.16877i −0.0202907 0.0808253i
\(721\) −8.22753 9.49508i −0.306409 0.353615i
\(722\) 4.30451 + 3.22232i 0.160197 + 0.119922i
\(723\) 0.309055 + 0.828609i 0.0114939 + 0.0308163i
\(724\) 19.1984 5.63716i 0.713503 0.209503i
\(725\) 3.23820 40.7614i 0.120264 1.51384i
\(726\) −9.86487 + 21.6010i −0.366119 + 0.801690i
\(727\) −24.8952 + 33.2561i −0.923313 + 1.23340i 0.0487807 + 0.998810i \(0.484466\pi\)
−0.972094 + 0.234592i \(0.924624\pi\)
\(728\) 3.01407 + 0.215571i 0.111709 + 0.00798959i
\(729\) 0.909632 0.415415i 0.0336901 0.0153857i
\(730\) 0.427464 + 1.04359i 0.0158211 + 0.0386252i
\(731\) −5.94049 + 41.3170i −0.219717 + 1.52816i
\(732\) 2.77954 + 12.7773i 0.102735 + 0.472264i
\(733\) 0.00668141 + 0.0934183i 0.000246783 + 0.00345048i 0.997574 0.0696138i \(-0.0221767\pi\)
−0.997327 + 0.0730643i \(0.976722\pi\)
\(734\) 23.1938 + 6.81032i 0.856100 + 0.251374i
\(735\) −8.11329 11.7842i −0.299263 0.434665i
\(736\) −2.20946 + 4.25656i −0.0814417 + 0.156899i
\(737\) 58.5518 58.5518i 2.15678 2.15678i
\(738\) 0.0727030 + 0.133146i 0.00267623 + 0.00490115i
\(739\) −4.45183 3.85753i −0.163763 0.141902i 0.569124 0.822252i \(-0.307282\pi\)
−0.732887 + 0.680350i \(0.761828\pi\)
\(740\) −0.466788 14.6917i −0.0171595 0.540076i
\(741\) 14.2321 + 2.04627i 0.522829 + 0.0751714i
\(742\) −1.49772 + 6.88492i −0.0549831 + 0.252753i
\(743\) 29.9011 + 11.1525i 1.09696 + 0.409147i 0.831811 0.555059i \(-0.187304\pi\)
0.265154 + 0.964206i \(0.414577\pi\)
\(744\) −0.525998 + 0.455780i −0.0192840 + 0.0167097i
\(745\) 43.8905 + 1.74065i 1.60802 + 0.0637726i
\(746\) −5.04657 2.30469i −0.184768 0.0843807i
\(747\) 3.07527 + 1.67923i 0.112518 + 0.0614397i
\(748\) 18.4173 + 10.0566i 0.673404 + 0.367706i
\(749\) 10.6402 + 4.85921i 0.388784 + 0.177552i
\(750\) 10.2780 + 4.40027i 0.375300 + 0.160675i
\(751\) 27.2940 23.6504i 0.995971 0.863014i 0.00539620 0.999985i \(-0.498282\pi\)
0.990575 + 0.136971i \(0.0437369\pi\)
\(752\) 1.15982 + 0.432592i 0.0422944 + 0.0157750i
\(753\) 0.691571 3.17910i 0.0252022 0.115853i
\(754\) 31.5339 + 4.53389i 1.14840 + 0.165115i
\(755\) −13.6579 + 14.5542i −0.497061 + 0.529683i
\(756\) 0.586225 + 0.507967i 0.0213208 + 0.0184746i
\(757\) −3.90241 7.14673i −0.141836 0.259752i 0.797099 0.603849i \(-0.206367\pi\)
−0.938934 + 0.344097i \(0.888185\pi\)
\(758\) −9.38149 + 9.38149i −0.340751 + 0.340751i
\(759\) −24.5217 + 14.0666i −0.890081 + 0.510584i
\(760\) 6.79782 4.68024i 0.246583 0.169770i
\(761\) −20.3172 5.96568i −0.736499 0.216256i −0.108093 0.994141i \(-0.534474\pi\)
−0.628406 + 0.777885i \(0.716292\pi\)
\(762\) 0.366002 + 5.11737i 0.0132588 + 0.185383i
\(763\) 2.00877 + 9.23416i 0.0727223 + 0.334299i
\(764\) −0.771883 + 5.36856i −0.0279257 + 0.194228i
\(765\) −7.34209 3.07513i −0.265454 0.111181i
\(766\) 5.86851 2.68006i 0.212038 0.0968345i
\(767\) −49.9459 3.57220i −1.80344 0.128985i
\(768\) 0.599278 0.800541i 0.0216246 0.0288870i
\(769\) −9.11070 + 19.9496i −0.328540 + 0.719403i −0.999761 0.0218547i \(-0.993043\pi\)
0.671221 + 0.741257i \(0.265770\pi\)
\(770\) 10.1699 1.05288i 0.366496 0.0379430i
\(771\) 9.83318 2.88728i 0.354133 0.103983i
\(772\) 5.36526 + 14.3848i 0.193100 + 0.517721i
\(773\) −16.7379 12.5298i −0.602020 0.450667i 0.254290 0.967128i \(-0.418158\pi\)
−0.856311 + 0.516461i \(0.827249\pi\)
\(774\) 7.67873 + 8.86172i 0.276006 + 0.318528i
\(775\) −0.220911 3.47296i −0.00793535 0.124752i
\(776\) −2.66293 4.14360i −0.0955935 0.148746i
\(777\) 3.05576 + 4.08202i 0.109625 + 0.146442i
\(778\) 21.5775 4.69390i 0.773591 0.168284i
\(779\) −0.366671 + 0.423161i −0.0131373 + 0.0151613i
\(780\) −3.92977 + 7.77404i −0.140708 + 0.278355i
\(781\) 45.4670i 1.62694i
\(782\) 7.41685 + 15.3772i 0.265226 + 0.549888i
\(783\) 5.78269 + 5.78269i 0.206657 + 0.206657i
\(784\) 1.80261 6.13913i 0.0643790 0.219255i
\(785\) −4.45775 + 39.9810i −0.159104 + 1.42698i
\(786\) −8.50359 5.46492i −0.303313 0.194927i
\(787\) 5.84079 4.37236i 0.208202 0.155858i −0.490088 0.871673i \(-0.663036\pi\)
0.698290 + 0.715815i \(0.253945\pi\)
\(788\) −13.7337 2.98758i −0.489242 0.106428i
\(789\) −4.51267 9.88137i −0.160655 0.351786i
\(790\) −8.76328 + 33.7785i −0.311784 + 1.20178i
\(791\) 1.28841 + 8.96107i 0.0458105 + 0.318619i
\(792\) 5.52300 2.05997i 0.196251 0.0731979i
\(793\) 24.4128 44.7086i 0.866923 1.58765i
\(794\) 4.62088 + 15.7373i 0.163989 + 0.558495i
\(795\) −16.6384 11.6496i −0.590102 0.413169i
\(796\) −1.44144 + 0.207248i −0.0510904 + 0.00734569i
\(797\) 0.963146 13.4665i 0.0341164 0.477009i −0.951459 0.307774i \(-0.900416\pi\)
0.985576 0.169235i \(-0.0541297\pi\)
\(798\) −1.00052 + 2.68250i −0.0354180 + 0.0949593i
\(799\) 3.70710 2.38241i 0.131148 0.0842836i
\(800\) 1.37083 + 4.80841i 0.0484662 + 0.170003i
\(801\) 0.816097 1.26987i 0.0288354 0.0448687i
\(802\) −24.8344 + 1.77619i −0.876932 + 0.0627194i
\(803\) −2.60928 + 1.42478i −0.0920796 + 0.0502793i
\(804\) −14.0474 −0.495414
\(805\) 7.22529 + 4.12184i 0.254658 + 0.145276i
\(806\) 2.71133 0.0955024
\(807\) −0.149877 + 0.0818388i −0.00527591 + 0.00288086i
\(808\) −10.2344 + 0.731979i −0.360045 + 0.0257509i
\(809\) 12.2478 19.0580i 0.430611 0.670044i −0.556360 0.830941i \(-0.687802\pi\)
0.986971 + 0.160897i \(0.0514388\pi\)
\(810\) −2.00347 + 0.993020i −0.0703949 + 0.0348912i
\(811\) 40.9462 26.3145i 1.43782 0.924028i 0.438131 0.898911i \(-0.355641\pi\)
0.999685 0.0251166i \(-0.00799570\pi\)
\(812\) −2.21684 + 5.94358i −0.0777958 + 0.208579i
\(813\) 1.62438 22.7118i 0.0569694 0.796536i
\(814\) 38.3549 5.51460i 1.34434 0.193286i
\(815\) 4.47141 + 25.3544i 0.156627 + 0.888126i
\(816\) −1.00293 3.41565i −0.0351094 0.119572i
\(817\) −20.7414 + 37.9850i −0.725649 + 1.32893i
\(818\) −4.81088 + 1.79437i −0.168208 + 0.0627385i
\(819\) −0.430043 2.99102i −0.0150269 0.104515i
\(820\) −0.171941 0.292410i −0.00600445 0.0102114i
\(821\) 14.1816 + 31.0534i 0.494942 + 1.08377i 0.978080 + 0.208228i \(0.0667697\pi\)
−0.483138 + 0.875544i \(0.660503\pi\)
\(822\) −14.1901 3.08688i −0.494938 0.107667i
\(823\) 13.2111 9.88972i 0.460511 0.344734i −0.343699 0.939080i \(-0.611680\pi\)
0.804209 + 0.594346i \(0.202589\pi\)
\(824\) 13.6258 + 8.75675i 0.474676 + 0.305056i
\(825\) −8.52607 + 28.2131i −0.296840 + 0.982256i
\(826\) 2.80902 9.56666i 0.0977385 0.332867i
\(827\) −15.7934 15.7934i −0.549192 0.549192i 0.377015 0.926207i \(-0.376950\pi\)
−0.926207 + 0.377015i \(0.876950\pi\)
\(828\) 4.62894 + 1.25417i 0.160867 + 0.0435854i
\(829\) 36.4542i 1.26611i −0.774108 0.633053i \(-0.781802\pi\)
0.774108 0.633053i \(-0.218198\pi\)
\(830\) −6.99229 3.53460i −0.242706 0.122688i
\(831\) 0.166201 0.191806i 0.00576544 0.00665367i
\(832\) −3.80658 + 0.828071i −0.131970 + 0.0287082i
\(833\) −13.6498 18.2340i −0.472936 0.631769i
\(834\) −4.56842 7.10860i −0.158191 0.246151i
\(835\) −1.81357 + 3.02937i −0.0627613 + 0.104836i
\(836\) 14.2477 + 16.4427i 0.492766 + 0.568683i
\(837\) 0.557173 + 0.417094i 0.0192587 + 0.0144169i
\(838\) 7.90903 + 21.2049i 0.273213 + 0.732512i
\(839\) 24.4642 7.18333i 0.844597 0.247996i 0.169321 0.985561i \(-0.445843\pi\)
0.675276 + 0.737565i \(0.264024\pi\)
\(840\) −1.34625 1.09365i −0.0464500 0.0377344i
\(841\) −15.7356 + 34.4561i −0.542605 + 1.18814i
\(842\) 0.0561634 0.0750256i 0.00193552 0.00258555i
\(843\) 0.143194 + 0.0102414i 0.00493186 + 0.000352733i
\(844\) 7.13851 3.26005i 0.245718 0.112215i
\(845\) 4.50214 1.84411i 0.154878 0.0634392i
\(846\) 0.176168 1.22527i 0.00605676 0.0421257i
\(847\) 3.91550 + 17.9993i 0.134538 + 0.618463i
\(848\) −0.648008 9.06034i −0.0222527 0.311133i
\(849\) 30.9890 + 9.09920i 1.06354 + 0.312284i
\(850\) 16.6275 + 6.35137i 0.570318 + 0.217850i
\(851\) 27.9810 + 14.5241i 0.959177 + 0.497881i
\(852\) −5.45410 + 5.45410i −0.186854 + 0.186854i
\(853\) 2.39310 + 4.38263i 0.0819380 + 0.150058i 0.915435 0.402465i \(-0.131847\pi\)
−0.833497 + 0.552524i \(0.813665\pi\)
\(854\) 7.66557 + 6.64226i 0.262311 + 0.227293i
\(855\) −6.01826 5.64761i −0.205820 0.193144i
\(856\) −14.9264 2.14609i −0.510173 0.0733518i
\(857\) 0.672070 3.08946i 0.0229575 0.105534i −0.964242 0.265022i \(-0.914621\pi\)
0.987200 + 0.159488i \(0.0509844\pi\)
\(858\) −21.5155 8.02485i −0.734525 0.273964i
\(859\) 32.1182 27.8306i 1.09586 0.949567i 0.0969051 0.995294i \(-0.469106\pi\)
0.998954 + 0.0457263i \(0.0145602\pi\)
\(860\) −17.7908 19.2602i −0.606660 0.656766i
\(861\) 0.107039 + 0.0488832i 0.00364789 + 0.00166593i
\(862\) 1.35735 + 0.741167i 0.0462314 + 0.0252443i
\(863\) 14.6225 + 7.98452i 0.497757 + 0.271796i 0.708456 0.705755i \(-0.249392\pi\)
−0.210699 + 0.977551i \(0.567574\pi\)
\(864\) −0.909632 0.415415i −0.0309463 0.0141327i
\(865\) −20.8103 22.5291i −0.707572 0.766013i
\(866\) 2.73699 2.37162i 0.0930068 0.0805909i
\(867\) 4.05461 + 1.51229i 0.137702 + 0.0513601i
\(868\) −0.114759 + 0.527537i −0.00389516 + 0.0179058i
\(869\) −91.0574 13.0921i −3.08891 0.444118i
\(870\) −13.3346 12.5134i −0.452085 0.424242i
\(871\) 41.3571 + 35.8361i 1.40133 + 1.21426i
\(872\) −5.83865 10.6927i −0.197722 0.362100i
\(873\) −3.48286 + 3.48286i −0.117877 + 0.117877i
\(874\) 1.63344 + 17.6256i 0.0552520 + 0.596194i
\(875\) 8.42781 2.04532i 0.284912 0.0691445i
\(876\) 0.483915 + 0.142090i 0.0163500 + 0.00480078i
\(877\) −2.91302 40.7293i −0.0983656 1.37533i −0.771697 0.635990i \(-0.780592\pi\)
0.673332 0.739341i \(-0.264863\pi\)
\(878\) −0.428293 1.96883i −0.0144542 0.0664448i
\(879\) −0.725375 + 5.04509i −0.0244663 + 0.170167i
\(880\) −12.1973 + 4.99610i −0.411171 + 0.168418i
\(881\) 30.3191 13.8463i 1.02148 0.466492i 0.166985 0.985959i \(-0.446597\pi\)
0.854490 + 0.519467i \(0.173870\pi\)
\(882\) −6.38201 0.456450i −0.214893 0.0153695i
\(883\) 21.6961 28.9827i 0.730133 0.975344i −0.269789 0.962919i \(-0.586954\pi\)
0.999923 0.0124247i \(-0.00395501\pi\)
\(884\) −5.76089 + 12.6146i −0.193760 + 0.424274i
\(885\) 22.3085 + 18.1227i 0.749893 + 0.609188i
\(886\) 5.31499 1.56062i 0.178561 0.0524301i
\(887\) 8.24706 + 22.1112i 0.276909 + 0.742422i 0.998732 + 0.0503440i \(0.0160318\pi\)
−0.721823 + 0.692078i \(0.756696\pi\)
\(888\) −5.26246 3.93943i −0.176596 0.132198i
\(889\) 2.60610 + 3.00759i 0.0874057 + 0.100871i
\(890\) −1.73376 + 2.89604i −0.0581156 + 0.0970754i
\(891\) −3.18689 4.95890i −0.106765 0.166130i
\(892\) −0.134110 0.179150i −0.00449033 0.00599838i
\(893\) 4.46449 0.971191i 0.149398 0.0324997i
\(894\) 12.8640 14.8458i 0.430236 0.496519i
\(895\) −5.36011 2.70953i −0.179169 0.0905696i
\(896\) 0.775687i 0.0259139i
\(897\) −10.4286 15.5012i −0.348201 0.517570i
\(898\) 7.69750 + 7.69750i 0.256869 + 0.256869i
\(899\) −1.60357 + 5.46127i −0.0534821 + 0.182143i
\(900\) 4.40713 2.36161i 0.146904 0.0787202i
\(901\) −27.2027 17.4821i −0.906252 0.582413i
\(902\) 0.715869 0.535893i 0.0238358 0.0178433i
\(903\) 8.88764 + 1.93339i 0.295762 + 0.0643391i
\(904\) −4.84840 10.6165i −0.161256 0.353100i
\(905\) 22.6784 + 38.5677i 0.753856 + 1.28203i
\(906\) 1.27030 + 8.83510i 0.0422027 + 0.293526i
\(907\) 0.554797 0.206928i 0.0184217 0.00687094i −0.340236 0.940340i \(-0.610507\pi\)
0.358658 + 0.933469i \(0.383234\pi\)
\(908\) −0.284961 + 0.521868i −0.00945677 + 0.0173188i
\(909\) 2.89073 + 9.84492i 0.0958794 + 0.326535i
\(910\) 1.17351 + 6.65420i 0.0389015 + 0.220585i
\(911\) 31.6222 4.54659i 1.04769 0.150635i 0.403094 0.915158i \(-0.367935\pi\)
0.644596 + 0.764523i \(0.277026\pi\)
\(912\) 0.263308 3.68153i 0.00871901 0.121908i
\(913\) 7.21787 19.3519i 0.238877 0.640453i
\(914\) −12.6774 + 8.14727i −0.419331 + 0.269488i
\(915\) −26.1978 + 12.9849i −0.866071 + 0.429267i
\(916\) 0.194016 0.301894i 0.00641045 0.00997486i
\(917\) −7.82085 + 0.559358i −0.258267 + 0.0184716i
\(918\) −3.12441 + 1.70606i −0.103121 + 0.0563082i
\(919\) −8.30582 −0.273984 −0.136992 0.990572i \(-0.543743\pi\)
−0.136992 + 0.990572i \(0.543743\pi\)
\(920\) −10.4345 2.47429i −0.344014 0.0815751i
\(921\) −12.4891 −0.411530
\(922\) 17.6488 9.63699i 0.581233 0.317377i
\(923\) 29.9713 2.14359i 0.986517 0.0705571i
\(924\) 2.47203 3.84656i 0.0813239 0.126542i
\(925\) 31.6087 9.01133i 1.03929 0.296291i
\(926\) 13.0305 8.37418i 0.428208 0.275193i
\(927\) 5.66026 15.1758i 0.185907 0.498437i
\(928\) 0.583409 8.15713i 0.0191514 0.267771i
\(929\) −5.60739 + 0.806221i −0.183972 + 0.0264512i −0.233685 0.972312i \(-0.575079\pi\)
0.0497127 + 0.998764i \(0.484169\pi\)
\(930\) −1.27487 0.892617i −0.0418045 0.0292701i
\(931\) −6.65332 22.6591i −0.218054 0.742623i
\(932\) 7.89352 14.4559i 0.258561 0.473519i
\(933\) −5.66532 + 2.11306i −0.185474 + 0.0691784i
\(934\) −1.92004 13.3542i −0.0628256 0.436962i
\(935\) −11.7831 + 45.4183i −0.385347 + 1.48534i
\(936\) 1.61829 + 3.54357i 0.0528956 + 0.115825i
\(937\) −33.0997 7.20041i −1.08132 0.235227i −0.363598 0.931556i \(-0.618452\pi\)
−0.717723 + 0.696329i \(0.754816\pi\)
\(938\) −8.72301 + 6.52996i −0.284816 + 0.213211i
\(939\) 5.21720 + 3.35289i 0.170257 + 0.109418i
\(940\) −0.306718 + 2.75092i −0.0100040 + 0.0897251i
\(941\) −4.42364 + 15.0655i −0.144206 + 0.491122i −0.999641 0.0267887i \(-0.991472\pi\)
0.855435 + 0.517911i \(0.173290\pi\)
\(942\) 12.7215 + 12.7215i 0.414487 + 0.414487i
\(943\) 0.727376 0.0152850i 0.0236866 0.000497747i
\(944\) 12.8538i 0.418356i
\(945\) −0.782489 + 1.54795i −0.0254544 + 0.0503549i
\(946\) 45.2635 52.2368i 1.47164 1.69837i
\(947\) 53.3466 11.6048i 1.73353 0.377107i 0.768624 0.639700i \(-0.220942\pi\)
0.964906 + 0.262594i \(0.0845779\pi\)
\(948\) 9.35250 + 12.4935i 0.303755 + 0.405769i
\(949\) −1.06221 1.65283i −0.0344809 0.0536533i
\(950\) 13.8515 + 12.1947i 0.449402 + 0.395649i
\(951\) −8.76850 10.1194i −0.284338 0.328144i
\(952\) −2.21056 1.65480i −0.0716446 0.0536325i
\(953\) 1.17209 + 3.14249i 0.0379676 + 0.101795i 0.954550 0.298051i \(-0.0963364\pi\)
−0.916582 + 0.399846i \(0.869064\pi\)
\(954\) −8.71554 + 2.55911i −0.282176 + 0.0828544i
\(955\) −12.0634 + 1.24892i −0.390364 + 0.0404140i
\(956\) 7.73398 16.9351i 0.250135 0.547719i
\(957\) 28.8890 38.5911i 0.933848 1.24747i
\(958\) −27.3247 1.95430i −0.882823 0.0631407i
\(959\) −10.2466 + 4.67946i −0.330879 + 0.151108i
\(960\) 2.06247 + 0.863835i 0.0665660 + 0.0278802i
\(961\) 4.34282 30.2050i 0.140091 0.974354i
\(962\) 5.44343 + 25.0230i 0.175503 + 0.806775i
\(963\) 1.07578 + 15.0414i 0.0346667 + 0.484704i
\(964\) −0.848545 0.249155i −0.0273298 0.00802475i
\(965\) −28.2762 + 19.4679i −0.910243 + 0.626695i
\(966\) 3.45743 1.37297i 0.111241 0.0441746i
\(967\) −29.4286 + 29.4286i −0.946361 + 0.946361i −0.998633 0.0522719i \(-0.983354\pi\)
0.0522719 + 0.998633i \(0.483354\pi\)
\(968\) −11.3807 20.8423i −0.365791 0.669895i
\(969\) −9.92993 8.60433i −0.318995 0.276411i
\(970\) 7.53666 8.03129i 0.241988 0.257869i
\(971\) 33.3860 + 4.80018i 1.07141 + 0.154045i 0.655374 0.755305i \(-0.272511\pi\)
0.416032 + 0.909350i \(0.363420\pi\)
\(972\) −0.212565 + 0.977147i −0.00681803 + 0.0313420i
\(973\) −6.14130 2.29058i −0.196881 0.0734328i
\(974\) −1.15551 + 1.00126i −0.0370250 + 0.0320824i
\(975\) −18.9997 4.29014i −0.608478 0.137394i
\(976\) −11.8945 5.43203i −0.380734 0.173875i
\(977\) 5.87086 + 3.20573i 0.187826 + 0.102561i 0.570410 0.821360i \(-0.306784\pi\)
−0.382585 + 0.923920i \(0.624966\pi\)
\(978\) 10.1054 + 5.51798i 0.323136 + 0.176446i
\(979\) −8.09389 3.69636i −0.258682 0.118136i
\(980\) 14.2958 + 0.566958i 0.456663 + 0.0181108i
\(981\) −9.20723 + 7.97811i −0.293964 + 0.254721i
\(982\) −15.8540 5.91323i −0.505921 0.188699i
\(983\) −2.10335 + 9.66896i −0.0670865 + 0.308392i −0.998447 0.0557061i \(-0.982259\pi\)
0.931361 + 0.364098i \(0.118623\pi\)
\(984\) −0.150158 0.0215894i −0.00478685 0.000688246i
\(985\) −0.998025 31.4118i −0.0317997 1.00086i
\(986\) −22.0016 19.0645i −0.700675 0.607138i
\(987\) −0.460175 0.842748i −0.0146475 0.0268250i
\(988\) −10.1671 + 10.1671i −0.323458 + 0.323458i
\(989\) 54.6863 13.1053i 1.73892 0.416726i
\(990\) 7.47464 + 10.8566i 0.237560 + 0.345044i
\(991\) −45.6319 13.3987i −1.44954 0.425625i −0.540154 0.841566i \(-0.681634\pi\)
−0.909391 + 0.415942i \(0.863452\pi\)
\(992\) −0.0496517 0.694222i −0.00157644 0.0220416i
\(993\) −2.41148 11.0854i −0.0765260 0.351784i
\(994\) −0.851480 + 5.92217i −0.0270073 + 0.187840i
\(995\) −1.23427 3.01331i −0.0391291 0.0955284i
\(996\) −3.18723 + 1.45556i −0.100991 + 0.0461212i
\(997\) 18.9383 + 1.35450i 0.599783 + 0.0428974i 0.367930 0.929853i \(-0.380067\pi\)
0.231853 + 0.972751i \(0.425521\pi\)
\(998\) 7.79344 10.4108i 0.246697 0.329548i
\(999\) −2.73078 + 5.97958i −0.0863981 + 0.189185i
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 690.2.w.a.373.5 yes 240
5.2 odd 4 inner 690.2.w.a.97.6 yes 240
23.14 odd 22 inner 690.2.w.a.313.6 yes 240
115.37 even 44 inner 690.2.w.a.37.5 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.w.a.37.5 240 115.37 even 44 inner
690.2.w.a.97.6 yes 240 5.2 odd 4 inner
690.2.w.a.313.6 yes 240 23.14 odd 22 inner
690.2.w.a.373.5 yes 240 1.1 even 1 trivial