Properties

Label 930.2.bo.a.179.16
Level $930$
Weight $2$
Character 930.179
Analytic conductor $7.426$
Analytic rank $0$
Dimension $256$
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] = [930,2,Mod(179,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 15, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.179");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bo (of order \(30\), degree \(8\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(32\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 179.16
Character \(\chi\) \(=\) 930.179
Dual form 930.2.bo.a.239.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.309017 + 0.951057i) q^{2} +(0.0869307 + 1.72987i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.09670 - 0.777090i) q^{5} +(-1.61834 + 0.617235i) q^{6} +(1.84852 - 4.15185i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.98489 + 0.300757i) q^{9} +O(q^{10})\) \(q+(0.309017 + 0.951057i) q^{2} +(0.0869307 + 1.72987i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.09670 - 0.777090i) q^{5} +(-1.61834 + 0.617235i) q^{6} +(1.84852 - 4.15185i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.98489 + 0.300757i) q^{9} +(0.0911422 - 2.23421i) q^{10} +(0.00758473 + 0.0721639i) q^{11} +(-1.08712 - 1.34840i) q^{12} +(0.108953 + 0.121004i) q^{13} +(4.51987 + 0.475057i) q^{14} +(1.16200 - 3.69456i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.262806 + 0.0276220i) q^{17} +(-1.20842 - 2.74586i) q^{18} +(4.45738 - 4.95042i) q^{19} +(2.15302 - 0.603727i) q^{20} +(7.34284 + 2.83678i) q^{21} +(-0.0662881 + 0.0295134i) q^{22} +(1.46149 - 2.01157i) q^{23} +(0.946462 - 1.45059i) q^{24} +(3.79226 + 3.25864i) q^{25} +(-0.0814136 + 0.141013i) q^{26} +(-0.779749 - 5.13731i) q^{27} +(0.944909 + 4.44545i) q^{28} +(2.35513 + 7.24834i) q^{29} +(3.87281 - 0.0365576i) q^{30} +(5.21801 - 1.94227i) q^{31} +1.00000 q^{32} +(-0.124175 + 0.0193938i) q^{33} +(0.0549414 + 0.258479i) q^{34} +(-7.10215 + 7.26869i) q^{35} +(2.23804 - 1.99779i) q^{36} +(-4.89369 - 8.47613i) q^{37} +(6.08553 + 2.70945i) q^{38} +(-0.199850 + 0.198993i) q^{39} +(1.23950 + 1.86109i) q^{40} +(1.24649 - 5.86426i) q^{41} +(-0.428871 + 7.86007i) q^{42} +(0.0456183 - 0.0506643i) q^{43} +(-0.0485530 - 0.0539236i) q^{44} +(6.49211 + 1.68893i) q^{45} +(2.36475 + 0.768352i) q^{46} +(1.96996 - 6.06292i) q^{47} +(1.67207 + 0.451883i) q^{48} +(-9.13689 - 10.1475i) q^{49} +(-1.92728 + 4.61363i) q^{50} +(-0.0249365 + 0.457021i) q^{51} +(-0.159269 - 0.0338537i) q^{52} +(1.51299 + 3.39824i) q^{53} +(4.64492 - 2.32910i) q^{54} +(0.0401750 - 0.157200i) q^{55} +(-3.93588 + 2.27238i) q^{56} +(8.95106 + 7.28033i) q^{57} +(-6.16581 + 4.47972i) q^{58} +(-1.22287 - 5.75315i) q^{59} +(1.23153 + 3.67197i) q^{60} +12.4819i q^{61} +(3.45966 + 4.36242i) q^{62} +(-4.26893 + 12.9488i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-0.134409 - 0.338375i) q^{65} +(-0.0568167 - 0.112104i) q^{66} +(-0.206705 - 0.119341i) q^{67} +(-0.228850 + 0.132127i) q^{68} +(3.60680 + 2.35332i) q^{69} +(-9.10762 - 4.50839i) q^{70} +(3.26437 + 7.33191i) q^{71} +(2.59160 + 1.51115i) q^{72} +(-1.07376 - 10.2161i) q^{73} +(6.54904 - 7.27345i) q^{74} +(-5.30736 + 6.84339i) q^{75} +(-0.696311 + 6.62495i) q^{76} +(0.313634 + 0.101906i) q^{77} +(-0.251010 - 0.128577i) q^{78} +(-12.2317 - 1.28560i) q^{79} +(-1.38697 + 1.75394i) q^{80} +(8.81909 - 1.79545i) q^{81} +(5.96243 - 0.626677i) q^{82} +(-0.405929 + 1.90975i) q^{83} +(-7.60790 + 2.02101i) q^{84} +(-0.529559 - 0.262139i) q^{85} +(0.0622814 + 0.0277295i) q^{86} +(-12.3339 + 4.70416i) q^{87} +(0.0362807 - 0.0628400i) q^{88} +(0.818323 - 0.594546i) q^{89} +(0.399906 + 6.69627i) q^{90} +(0.703793 - 0.228676i) q^{91} +2.48644i q^{92} +(3.81348 + 8.85762i) q^{93} +6.37493 q^{94} +(-13.1927 + 6.91574i) q^{95} +(0.0869307 + 1.72987i) q^{96} +(1.47470 + 2.02976i) q^{97} +(6.82744 - 11.8255i) q^{98} +(-0.0443434 - 0.213120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9} - 2 q^{10} + 20 q^{15} - 64 q^{16} - 6 q^{17} - 6 q^{18} - 4 q^{19} + 3 q^{20} + 20 q^{23} - 2 q^{25} + 42 q^{31} + 256 q^{32} + 8 q^{33} + 14 q^{34} - 16 q^{35} + 4 q^{36} + 36 q^{38} + 8 q^{39} + 3 q^{40} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 q^{60} + 2 q^{62} - 72 q^{63} - 64 q^{64} + 8 q^{66} - 6 q^{68} + 10 q^{69} - 16 q^{70} - 6 q^{72} - 2 q^{75} - 24 q^{76} + 100 q^{77} + 8 q^{78} + 40 q^{79} - 2 q^{80} + 12 q^{81} - 26 q^{83} - 30 q^{85} + 16 q^{87} - 49 q^{90} - 20 q^{91} - 22 q^{93} + 4 q^{94} + 56 q^{95} + 130 q^{98} + 102 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 + 0.951057i 0.218508 + 0.672499i
\(3\) 0.0869307 + 1.72987i 0.0501895 + 0.998740i
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) −2.09670 0.777090i −0.937671 0.347525i
\(6\) −1.61834 + 0.617235i −0.660684 + 0.251985i
\(7\) 1.84852 4.15185i 0.698676 1.56925i −0.118560 0.992947i \(-0.537828\pi\)
0.817235 0.576304i \(-0.195506\pi\)
\(8\) −0.809017 0.587785i −0.286031 0.207813i
\(9\) −2.98489 + 0.300757i −0.994962 + 0.100252i
\(10\) 0.0911422 2.23421i 0.0288217 0.706519i
\(11\) 0.00758473 + 0.0721639i 0.00228688 + 0.0217582i 0.995606 0.0936431i \(-0.0298513\pi\)
−0.993319 + 0.115401i \(0.963185\pi\)
\(12\) −1.08712 1.34840i −0.313824 0.389248i
\(13\) 0.108953 + 0.121004i 0.0302180 + 0.0335605i 0.758064 0.652180i \(-0.226145\pi\)
−0.727846 + 0.685740i \(0.759479\pi\)
\(14\) 4.51987 + 0.475057i 1.20799 + 0.126964i
\(15\) 1.16200 3.69456i 0.300026 0.953931i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 0.262806 + 0.0276220i 0.0637398 + 0.00669932i 0.136345 0.990661i \(-0.456465\pi\)
−0.0726049 + 0.997361i \(0.523131\pi\)
\(18\) −1.20842 2.74586i −0.284827 0.647205i
\(19\) 4.45738 4.95042i 1.02259 1.13570i 0.0319131 0.999491i \(-0.489840\pi\)
0.990680 0.136214i \(-0.0434933\pi\)
\(20\) 2.15302 0.603727i 0.481431 0.134998i
\(21\) 7.34284 + 2.83678i 1.60234 + 0.619035i
\(22\) −0.0662881 + 0.0295134i −0.0141327 + 0.00629227i
\(23\) 1.46149 2.01157i 0.304742 0.419442i −0.628990 0.777413i \(-0.716531\pi\)
0.933733 + 0.357971i \(0.116531\pi\)
\(24\) 0.946462 1.45059i 0.193196 0.296100i
\(25\) 3.79226 + 3.25864i 0.758452 + 0.651728i
\(26\) −0.0814136 + 0.141013i −0.0159665 + 0.0276548i
\(27\) −0.779749 5.13731i −0.150063 0.988676i
\(28\) 0.944909 + 4.44545i 0.178571 + 0.840111i
\(29\) 2.35513 + 7.24834i 0.437336 + 1.34598i 0.890673 + 0.454644i \(0.150233\pi\)
−0.453337 + 0.891339i \(0.649767\pi\)
\(30\) 3.87281 0.0365576i 0.707075 0.00667447i
\(31\) 5.21801 1.94227i 0.937182 0.348842i
\(32\) 1.00000 0.176777
\(33\) −0.124175 + 0.0193938i −0.0216160 + 0.00337603i
\(34\) 0.0549414 + 0.258479i 0.00942237 + 0.0443288i
\(35\) −7.10215 + 7.26869i −1.20048 + 1.22863i
\(36\) 2.23804 1.99779i 0.373007 0.332965i
\(37\) −4.89369 8.47613i −0.804518 1.39347i −0.916616 0.399769i \(-0.869090\pi\)
0.112098 0.993697i \(-0.464243\pi\)
\(38\) 6.08553 + 2.70945i 0.987204 + 0.439532i
\(39\) −0.199850 + 0.198993i −0.0320016 + 0.0318644i
\(40\) 1.23950 + 1.86109i 0.195982 + 0.294263i
\(41\) 1.24649 5.86426i 0.194669 0.915844i −0.767004 0.641643i \(-0.778253\pi\)
0.961672 0.274201i \(-0.0884135\pi\)
\(42\) −0.428871 + 7.86007i −0.0661762 + 1.21284i
\(43\) 0.0456183 0.0506643i 0.00695673 0.00772623i −0.739656 0.672985i \(-0.765012\pi\)
0.746613 + 0.665258i \(0.231679\pi\)
\(44\) −0.0485530 0.0539236i −0.00731965 0.00812929i
\(45\) 6.49211 + 1.68893i 0.967787 + 0.251771i
\(46\) 2.36475 + 0.768352i 0.348663 + 0.113287i
\(47\) 1.96996 6.06292i 0.287348 0.884367i −0.698337 0.715769i \(-0.746076\pi\)
0.985685 0.168598i \(-0.0539238\pi\)
\(48\) 1.67207 + 0.451883i 0.241342 + 0.0652236i
\(49\) −9.13689 10.1475i −1.30527 1.44965i
\(50\) −1.92728 + 4.61363i −0.272559 + 0.652466i
\(51\) −0.0249365 + 0.457021i −0.00349181 + 0.0639957i
\(52\) −0.159269 0.0338537i −0.0220867 0.00469466i
\(53\) 1.51299 + 3.39824i 0.207826 + 0.466784i 0.987142 0.159847i \(-0.0511000\pi\)
−0.779316 + 0.626631i \(0.784433\pi\)
\(54\) 4.64492 2.32910i 0.632094 0.316951i
\(55\) 0.0401750 0.157200i 0.00541719 0.0211968i
\(56\) −3.93588 + 2.27238i −0.525954 + 0.303660i
\(57\) 8.95106 + 7.28033i 1.18560 + 0.964303i
\(58\) −6.16581 + 4.47972i −0.809610 + 0.588216i
\(59\) −1.22287 5.75315i −0.159204 0.748996i −0.983219 0.182428i \(-0.941604\pi\)
0.824015 0.566568i \(-0.191729\pi\)
\(60\) 1.23153 + 3.67197i 0.158990 + 0.474049i
\(61\) 12.4819i 1.59815i 0.601233 + 0.799073i \(0.294676\pi\)
−0.601233 + 0.799073i \(0.705324\pi\)
\(62\) 3.45966 + 4.36242i 0.439377 + 0.554028i
\(63\) −4.26893 + 12.9488i −0.537834 + 1.63139i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −0.134409 0.338375i −0.0166714 0.0419703i
\(66\) −0.0568167 0.112104i −0.00699365 0.0137991i
\(67\) −0.206705 0.119341i −0.0252531 0.0145799i 0.487320 0.873223i \(-0.337974\pi\)
−0.512573 + 0.858643i \(0.671308\pi\)
\(68\) −0.228850 + 0.132127i −0.0277522 + 0.0160227i
\(69\) 3.60680 + 2.35332i 0.434208 + 0.283307i
\(70\) −9.10762 4.50839i −1.08857 0.538856i
\(71\) 3.26437 + 7.33191i 0.387410 + 0.870137i 0.996999 + 0.0774192i \(0.0246680\pi\)
−0.609589 + 0.792718i \(0.708665\pi\)
\(72\) 2.59160 + 1.51115i 0.305424 + 0.178091i
\(73\) −1.07376 10.2161i −0.125674 1.19571i −0.857598 0.514321i \(-0.828044\pi\)
0.731924 0.681386i \(-0.238623\pi\)
\(74\) 6.54904 7.27345i 0.761310 0.845521i
\(75\) −5.30736 + 6.84339i −0.612841 + 0.790206i
\(76\) −0.696311 + 6.62495i −0.0798723 + 0.759934i
\(77\) 0.313634 + 0.101906i 0.0357419 + 0.0116133i
\(78\) −0.251010 0.128577i −0.0284213 0.0145584i
\(79\) −12.2317 1.28560i −1.37617 0.144642i −0.612615 0.790381i \(-0.709883\pi\)
−0.763558 + 0.645740i \(0.776549\pi\)
\(80\) −1.38697 + 1.75394i −0.155068 + 0.196097i
\(81\) 8.81909 1.79545i 0.979899 0.199495i
\(82\) 5.96243 0.626677i 0.658441 0.0692049i
\(83\) −0.405929 + 1.90975i −0.0445565 + 0.209622i −0.994794 0.101904i \(-0.967507\pi\)
0.950238 + 0.311526i \(0.100840\pi\)
\(84\) −7.60790 + 2.02101i −0.830090 + 0.220511i
\(85\) −0.529559 0.262139i −0.0574388 0.0284330i
\(86\) 0.0622814 + 0.0277295i 0.00671598 + 0.00299015i
\(87\) −12.3339 + 4.70416i −1.32234 + 0.504339i
\(88\) 0.0362807 0.0628400i 0.00386753 0.00669877i
\(89\) 0.818323 0.594546i 0.0867420 0.0630218i −0.543569 0.839364i \(-0.682927\pi\)
0.630311 + 0.776343i \(0.282927\pi\)
\(90\) 0.399906 + 6.69627i 0.0421538 + 0.705849i
\(91\) 0.703793 0.228676i 0.0737775 0.0239718i
\(92\) 2.48644i 0.259229i
\(93\) 3.81348 + 8.85762i 0.395439 + 0.918492i
\(94\) 6.37493 0.657523
\(95\) −13.1927 + 6.91574i −1.35354 + 0.709540i
\(96\) 0.0869307 + 1.72987i 0.00887233 + 0.176554i
\(97\) 1.47470 + 2.02976i 0.149734 + 0.206091i 0.877294 0.479953i \(-0.159346\pi\)
−0.727561 + 0.686043i \(0.759346\pi\)
\(98\) 6.82744 11.8255i 0.689675 1.19455i
\(99\) −0.0443434 0.213120i −0.00445668 0.0214193i
\(100\) −4.98339 0.407261i −0.498339 0.0407261i
\(101\) 5.61268 7.72520i 0.558483 0.768686i −0.432650 0.901562i \(-0.642421\pi\)
0.991133 + 0.132876i \(0.0424213\pi\)
\(102\) −0.442358 + 0.117511i −0.0438000 + 0.0116353i
\(103\) 0.170495 0.802118i 0.0167994 0.0790350i −0.968949 0.247259i \(-0.920470\pi\)
0.985749 + 0.168224i \(0.0538033\pi\)
\(104\) −0.0170201 0.161935i −0.00166896 0.0158791i
\(105\) −13.1913 11.6539i −1.28734 1.13730i
\(106\) −2.76438 + 2.48906i −0.268500 + 0.241759i
\(107\) 1.51173 14.3831i 0.146144 1.39047i −0.638070 0.769979i \(-0.720267\pi\)
0.784214 0.620491i \(-0.213067\pi\)
\(108\) 3.65047 + 3.69785i 0.351266 + 0.355826i
\(109\) −1.93218 + 5.94664i −0.185069 + 0.569585i −0.999950 0.0100446i \(-0.996803\pi\)
0.814880 + 0.579629i \(0.196803\pi\)
\(110\) 0.161921 0.0103687i 0.0154385 0.000988617i
\(111\) 14.2372 9.20228i 1.35133 0.873442i
\(112\) −3.37742 3.04104i −0.319136 0.287351i
\(113\) −1.83506 17.4594i −0.172628 1.64244i −0.647267 0.762263i \(-0.724088\pi\)
0.474639 0.880181i \(-0.342579\pi\)
\(114\) −4.15798 + 10.7627i −0.389430 + 1.00802i
\(115\) −4.62748 + 3.08194i −0.431515 + 0.287393i
\(116\) −6.16581 4.47972i −0.572481 0.415932i
\(117\) −0.361604 0.328416i −0.0334303 0.0303620i
\(118\) 5.09368 2.94084i 0.468912 0.270726i
\(119\) 0.600485 1.04007i 0.0550464 0.0953431i
\(120\) −3.11168 + 2.30596i −0.284056 + 0.210504i
\(121\) 10.7545 2.28593i 0.977679 0.207812i
\(122\) −11.8710 + 3.85713i −1.07475 + 0.349208i
\(123\) 10.2528 + 1.64647i 0.924460 + 0.148458i
\(124\) −3.07982 + 4.63840i −0.276576 + 0.416540i
\(125\) −5.41896 9.77931i −0.484686 0.874688i
\(126\) −13.6342 0.0586080i −1.21463 0.00522122i
\(127\) 5.45341 1.15916i 0.483912 0.102859i 0.0405057 0.999179i \(-0.487103\pi\)
0.443407 + 0.896321i \(0.353770\pi\)
\(128\) −0.809017 + 0.587785i −0.0715077 + 0.0519534i
\(129\) 0.0916081 + 0.0745094i 0.00806564 + 0.00656018i
\(130\) 0.280279 0.232395i 0.0245821 0.0203824i
\(131\) −7.14042 + 16.0376i −0.623861 + 1.40122i 0.274341 + 0.961632i \(0.411540\pi\)
−0.898202 + 0.439583i \(0.855126\pi\)
\(132\) 0.0890600 0.0886780i 0.00775168 0.00771843i
\(133\) −12.3138 27.6573i −1.06774 2.39819i
\(134\) 0.0496249 0.233467i 0.00428694 0.0201685i
\(135\) −2.35726 + 11.3773i −0.202881 + 0.979203i
\(136\) −0.196379 0.176820i −0.0168393 0.0151622i
\(137\) −7.33817 + 6.60732i −0.626942 + 0.564501i −0.920159 0.391545i \(-0.871941\pi\)
0.293217 + 0.956046i \(0.405274\pi\)
\(138\) −1.12358 + 4.15749i −0.0956454 + 0.353909i
\(139\) −0.0334136 0.0108567i −0.00283410 0.000920856i 0.307600 0.951516i \(-0.400474\pi\)
−0.310434 + 0.950595i \(0.600474\pi\)
\(140\) 1.47333 10.0550i 0.124519 0.849805i
\(141\) 10.6593 + 2.88072i 0.897674 + 0.242600i
\(142\) −5.96431 + 5.37029i −0.500514 + 0.450665i
\(143\) −0.00790576 + 0.00878024i −0.000661113 + 0.000734240i
\(144\) −0.636343 + 2.93173i −0.0530286 + 0.244311i
\(145\) 0.694627 17.0277i 0.0576856 1.41407i
\(146\) 9.38430 4.17816i 0.776651 0.345787i
\(147\) 16.7596 16.6878i 1.38231 1.37638i
\(148\) 8.94122 + 3.98089i 0.734964 + 0.327227i
\(149\) −8.28563 + 4.78371i −0.678786 + 0.391897i −0.799397 0.600803i \(-0.794848\pi\)
0.120612 + 0.992700i \(0.461514\pi\)
\(150\) −8.14851 2.93287i −0.665323 0.239468i
\(151\) 8.16904 + 11.2437i 0.664787 + 0.915001i 0.999628 0.0272739i \(-0.00868264\pi\)
−0.334841 + 0.942275i \(0.608683\pi\)
\(152\) −6.51588 + 1.38499i −0.528508 + 0.112338i
\(153\) −0.792754 0.00340774i −0.0640903 0.000275500i
\(154\) 0.329774i 0.0265740i
\(155\) −12.4499 + 0.0174883i −0.999999 + 0.00140469i
\(156\) 0.0447170 0.278457i 0.00358023 0.0222944i
\(157\) −9.23840 + 3.00174i −0.737304 + 0.239565i −0.653509 0.756918i \(-0.726704\pi\)
−0.0837949 + 0.996483i \(0.526704\pi\)
\(158\) −2.55712 12.0303i −0.203434 0.957080i
\(159\) −5.74698 + 2.91269i −0.455765 + 0.230992i
\(160\) −2.09670 0.777090i −0.165758 0.0614344i
\(161\) −5.65014 9.78633i −0.445294 0.771271i
\(162\) 4.43283 + 7.83263i 0.348276 + 0.615389i
\(163\) 13.1873 18.1508i 1.03291 1.42168i 0.130171 0.991492i \(-0.458447\pi\)
0.902739 0.430188i \(-0.141553\pi\)
\(164\) 2.43850 + 5.47696i 0.190415 + 0.427678i
\(165\) 0.275427 + 0.0558319i 0.0214420 + 0.00434651i
\(166\) −1.94172 + 0.204083i −0.150706 + 0.0158399i
\(167\) 12.0091 + 10.8131i 0.929295 + 0.836741i 0.986856 0.161601i \(-0.0516657\pi\)
−0.0575611 + 0.998342i \(0.518332\pi\)
\(168\) −4.27307 6.61101i −0.329674 0.510051i
\(169\) 1.35610 12.9024i 0.104315 0.992494i
\(170\) 0.0856661 0.584646i 0.00657029 0.0448403i
\(171\) −11.8159 + 16.1170i −0.903584 + 1.23250i
\(172\) −0.00712628 + 0.0678020i −0.000543374 + 0.00516986i
\(173\) −0.574261 0.637781i −0.0436602 0.0484896i 0.720919 0.693019i \(-0.243720\pi\)
−0.764579 + 0.644530i \(0.777053\pi\)
\(174\) −8.28532 10.2766i −0.628109 0.779067i
\(175\) 20.5395 9.72122i 1.55264 0.734855i
\(176\) 0.0709757 + 0.0150864i 0.00535000 + 0.00113718i
\(177\) 9.84589 2.61553i 0.740062 0.196595i
\(178\) 0.818323 + 0.594546i 0.0613359 + 0.0445631i
\(179\) 11.1759 + 4.97582i 0.835324 + 0.371910i 0.779401 0.626525i \(-0.215523\pi\)
0.0559227 + 0.998435i \(0.482190\pi\)
\(180\) −6.24496 + 2.44960i −0.465472 + 0.182582i
\(181\) 17.0595 + 9.84928i 1.26802 + 0.732091i 0.974613 0.223896i \(-0.0718777\pi\)
0.293407 + 0.955988i \(0.405211\pi\)
\(182\) 0.434968 + 0.598682i 0.0322420 + 0.0443773i
\(183\) −21.5921 + 1.08506i −1.59613 + 0.0802102i
\(184\) −2.36475 + 0.768352i −0.174331 + 0.0566437i
\(185\) 3.67387 + 21.5747i 0.270108 + 1.58620i
\(186\) −7.24567 + 6.36399i −0.531278 + 0.466630i
\(187\) 0.0191746i 0.00140219i
\(188\) 1.96996 + 6.06292i 0.143674 + 0.442184i
\(189\) −22.7707 6.25904i −1.65633 0.455278i
\(190\) −10.6540 10.4099i −0.772924 0.755214i
\(191\) −20.5554 11.8677i −1.48734 0.858716i −0.487444 0.873154i \(-0.662071\pi\)
−0.999896 + 0.0144384i \(0.995404\pi\)
\(192\) −1.61834 + 0.617235i −0.116794 + 0.0445451i
\(193\) 1.05561 2.37093i 0.0759842 0.170663i −0.871559 0.490290i \(-0.836891\pi\)
0.947544 + 0.319627i \(0.103558\pi\)
\(194\) −1.47470 + 2.02976i −0.105878 + 0.145728i
\(195\) 0.573660 0.261926i 0.0410806 0.0187569i
\(196\) 13.3565 + 2.83901i 0.954035 + 0.202786i
\(197\) −17.7513 + 1.86574i −1.26473 + 0.132929i −0.713042 0.701122i \(-0.752683\pi\)
−0.551689 + 0.834050i \(0.686016\pi\)
\(198\) 0.188986 0.108031i 0.0134307 0.00767741i
\(199\) 15.0678 13.5672i 1.06813 0.961750i 0.0687754 0.997632i \(-0.478091\pi\)
0.999356 + 0.0358823i \(0.0114242\pi\)
\(200\) −1.15262 4.86533i −0.0815027 0.344031i
\(201\) 0.188476 0.367947i 0.0132941 0.0259530i
\(202\) 9.08151 + 2.95076i 0.638973 + 0.207615i
\(203\) 34.4475 + 3.62058i 2.41774 + 0.254115i
\(204\) −0.248456 0.384395i −0.0173954 0.0269130i
\(205\) −7.17057 + 11.3269i −0.500814 + 0.791108i
\(206\) 0.815545 0.0857173i 0.0568217 0.00597221i
\(207\) −3.75740 + 6.44387i −0.261157 + 0.447880i
\(208\) 0.148750 0.0662278i 0.0103140 0.00459207i
\(209\) 0.391049 + 0.284114i 0.0270495 + 0.0196526i
\(210\) 7.00719 16.1469i 0.483542 1.11424i
\(211\) 6.76877 + 11.7239i 0.465981 + 0.807103i 0.999245 0.0388457i \(-0.0123681\pi\)
−0.533264 + 0.845949i \(0.679035\pi\)
\(212\) −3.22148 1.85992i −0.221252 0.127740i
\(213\) −12.3995 + 6.28430i −0.849597 + 0.430593i
\(214\) 14.1463 3.00689i 0.967022 0.205547i
\(215\) −0.135018 + 0.0707780i −0.00920818 + 0.00482702i
\(216\) −2.38881 + 4.61450i −0.162538 + 0.313977i
\(217\) 1.58159 25.2547i 0.107365 1.71440i
\(218\) −6.25267 −0.423484
\(219\) 17.5792 2.74556i 1.18789 0.185527i
\(220\) 0.0598974 + 0.150791i 0.00403828 + 0.0101664i
\(221\) 0.0252910 + 0.0348101i 0.00170126 + 0.00234158i
\(222\) 13.1514 + 10.6967i 0.882665 + 0.717915i
\(223\) 3.00327 + 5.20182i 0.201114 + 0.348340i 0.948888 0.315614i \(-0.102210\pi\)
−0.747774 + 0.663954i \(0.768877\pi\)
\(224\) 1.84852 4.15185i 0.123510 0.277407i
\(225\) −12.2995 8.58613i −0.819969 0.572408i
\(226\) 16.0378 7.14050i 1.06682 0.474979i
\(227\) 1.64248 + 0.349120i 0.109015 + 0.0231719i 0.262096 0.965042i \(-0.415586\pi\)
−0.153081 + 0.988214i \(0.548920\pi\)
\(228\) −11.5208 0.628613i −0.762985 0.0416309i
\(229\) 0.784128 + 0.706032i 0.0518166 + 0.0466559i 0.694632 0.719365i \(-0.255567\pi\)
−0.642816 + 0.766021i \(0.722234\pi\)
\(230\) −4.36107 3.44862i −0.287561 0.227395i
\(231\) −0.149019 + 0.551404i −0.00980475 + 0.0362797i
\(232\) 2.35513 7.24834i 0.154622 0.475877i
\(233\) 4.38679 13.5012i 0.287388 0.884491i −0.698284 0.715821i \(-0.746053\pi\)
0.985673 0.168670i \(-0.0539472\pi\)
\(234\) 0.200600 0.445392i 0.0131136 0.0291162i
\(235\) −8.84184 + 11.1812i −0.576778 + 0.729384i
\(236\) 4.37094 + 3.93561i 0.284524 + 0.256186i
\(237\) 1.16061 21.2710i 0.0753899 1.38170i
\(238\) 1.17473 + 0.249696i 0.0761462 + 0.0161854i
\(239\) −16.8221 + 7.48969i −1.08813 + 0.484468i −0.870804 0.491631i \(-0.836401\pi\)
−0.217329 + 0.976098i \(0.569734\pi\)
\(240\) −3.15466 2.24681i −0.203632 0.145031i
\(241\) −4.47691 + 10.0553i −0.288383 + 0.647719i −0.998405 0.0564609i \(-0.982018\pi\)
0.710022 + 0.704180i \(0.248685\pi\)
\(242\) 5.49737 + 9.52172i 0.353384 + 0.612079i
\(243\) 3.87255 + 15.0998i 0.248424 + 0.968651i
\(244\) −7.33669 10.0981i −0.469684 0.646464i
\(245\) 11.2717 + 28.3765i 0.720124 + 1.81291i
\(246\) 1.60239 + 10.2597i 0.102164 + 0.654137i
\(247\) 1.08467 0.0690156
\(248\) −5.36309 1.49574i −0.340557 0.0949794i
\(249\) −3.33890 0.536188i −0.211594 0.0339796i
\(250\) 7.62613 8.17571i 0.482319 0.517077i
\(251\) −20.4939 + 4.35611i −1.29356 + 0.274956i −0.802754 0.596311i \(-0.796633\pi\)
−0.490810 + 0.871266i \(0.663299\pi\)
\(252\) −4.15745 12.9850i −0.261895 0.817976i
\(253\) 0.156248 + 0.0902098i 0.00982322 + 0.00567144i
\(254\) 2.78762 + 4.82831i 0.174911 + 0.302955i
\(255\) 0.407431 0.938856i 0.0255143 0.0587934i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −9.56527 + 4.25873i −0.596665 + 0.265652i −0.682770 0.730634i \(-0.739225\pi\)
0.0861045 + 0.996286i \(0.472558\pi\)
\(258\) −0.0425541 + 0.110149i −0.00264931 + 0.00685759i
\(259\) −44.2377 + 4.64957i −2.74880 + 0.288910i
\(260\) 0.307631 + 0.194747i 0.0190785 + 0.0120777i
\(261\) −9.20978 20.9271i −0.570071 1.29536i
\(262\) −17.4592 1.83504i −1.07863 0.113369i
\(263\) −3.67477 1.19400i −0.226596 0.0736255i 0.193518 0.981097i \(-0.438010\pi\)
−0.420114 + 0.907471i \(0.638010\pi\)
\(264\) 0.111859 + 0.0572981i 0.00688443 + 0.00352645i
\(265\) −0.531549 8.30081i −0.0326528 0.509915i
\(266\) 22.4985 20.2577i 1.37947 1.24208i
\(267\) 1.09962 + 1.36391i 0.0672959 + 0.0834697i
\(268\) 0.237375 0.0249491i 0.0145000 0.00152401i
\(269\) −11.2439 2.38995i −0.685550 0.145718i −0.148047 0.988980i \(-0.547299\pi\)
−0.537502 + 0.843262i \(0.680632\pi\)
\(270\) −11.5489 + 1.27390i −0.702844 + 0.0775269i
\(271\) −12.4167 + 17.0901i −0.754261 + 1.03815i 0.243409 + 0.969924i \(0.421734\pi\)
−0.997670 + 0.0682276i \(0.978266\pi\)
\(272\) 0.107482 0.241408i 0.00651703 0.0146375i
\(273\) 0.456761 + 1.19759i 0.0276444 + 0.0724814i
\(274\) −8.55155 4.93724i −0.516618 0.298270i
\(275\) −0.206393 + 0.298380i −0.0124460 + 0.0179930i
\(276\) −4.30121 + 0.216148i −0.258903 + 0.0130106i
\(277\) 2.34624 + 7.22097i 0.140972 + 0.433866i 0.996471 0.0839377i \(-0.0267497\pi\)
−0.855499 + 0.517804i \(0.826750\pi\)
\(278\) 0.0351331i 0.00210715i
\(279\) −14.9910 + 7.36681i −0.897488 + 0.441039i
\(280\) 10.0182 1.70596i 0.598701 0.101950i
\(281\) 8.68650 2.82242i 0.518193 0.168371i −0.0382320 0.999269i \(-0.512173\pi\)
0.556425 + 0.830898i \(0.312173\pi\)
\(282\) 0.554177 + 11.0278i 0.0330008 + 0.656695i
\(283\) 11.3242 + 15.5865i 0.673157 + 0.926520i 0.999827 0.0186179i \(-0.00592661\pi\)
−0.326670 + 0.945138i \(0.605927\pi\)
\(284\) −6.95052 4.01288i −0.412437 0.238121i
\(285\) −13.1102 22.2204i −0.776579 1.31622i
\(286\) −0.0107935 0.00480558i −0.000638234 0.000284160i
\(287\) −22.0434 16.0154i −1.30118 0.945362i
\(288\) −2.98489 + 0.300757i −0.175886 + 0.0177223i
\(289\) −16.5602 3.51998i −0.974130 0.207058i
\(290\) 16.4090 4.60122i 0.963567 0.270193i
\(291\) −3.38301 + 2.72749i −0.198316 + 0.159888i
\(292\) 6.87358 + 7.63388i 0.402246 + 0.446739i
\(293\) 1.24150 11.8121i 0.0725290 0.690067i −0.896487 0.443070i \(-0.853889\pi\)
0.969016 0.246998i \(-0.0794440\pi\)
\(294\) 21.0500 + 10.7826i 1.22766 + 0.628852i
\(295\) −1.90673 + 13.0129i −0.111014 + 0.757639i
\(296\) −1.02306 + 9.73377i −0.0594642 + 0.565764i
\(297\) 0.364814 0.0952348i 0.0211687 0.00552609i
\(298\) −7.10998 6.40186i −0.411870 0.370850i
\(299\) 0.402643 0.0423194i 0.0232854 0.00244740i
\(300\) 0.271299 8.65600i 0.0156635 0.499755i
\(301\) −0.126024 0.283054i −0.00726390 0.0163150i
\(302\) −8.16904 + 11.2437i −0.470075 + 0.647003i
\(303\) 13.8515 + 9.03764i 0.795747 + 0.519199i
\(304\) −3.33072 5.76898i −0.191030 0.330874i
\(305\) 9.69958 26.1708i 0.555396 1.49854i
\(306\) −0.241733 0.755006i −0.0138190 0.0431608i
\(307\) 4.24748 + 19.9828i 0.242417 + 1.14048i 0.915940 + 0.401315i \(0.131447\pi\)
−0.673523 + 0.739166i \(0.735220\pi\)
\(308\) −0.313634 + 0.101906i −0.0178710 + 0.00580663i
\(309\) 1.40238 + 0.225206i 0.0797786 + 0.0128115i
\(310\) −3.86386 11.8351i −0.219452 0.672191i
\(311\) 21.3003i 1.20783i 0.797050 + 0.603913i \(0.206393\pi\)
−0.797050 + 0.603913i \(0.793607\pi\)
\(312\) 0.278647 0.0435197i 0.0157753 0.00246382i
\(313\) −22.3425 + 4.74905i −1.26287 + 0.268432i −0.790224 0.612818i \(-0.790036\pi\)
−0.472650 + 0.881250i \(0.656703\pi\)
\(314\) −5.70964 7.85865i −0.322214 0.443489i
\(315\) 19.0130 23.8322i 1.07126 1.34279i
\(316\) 10.6513 6.14953i 0.599183 0.345938i
\(317\) 24.1763 + 10.7640i 1.35788 + 0.604566i 0.951078 0.308952i \(-0.0999782\pi\)
0.406799 + 0.913518i \(0.366645\pi\)
\(318\) −4.54605 4.56564i −0.254930 0.256028i
\(319\) −0.505205 + 0.224932i −0.0282861 + 0.0125938i
\(320\) 0.0911422 2.23421i 0.00509500 0.124896i
\(321\) 25.0123 + 1.36475i 1.39605 + 0.0761731i
\(322\) 7.56137 8.39775i 0.421378 0.467988i
\(323\) 1.30817 1.17788i 0.0727883 0.0655389i
\(324\) −6.07945 + 6.63628i −0.337747 + 0.368682i
\(325\) 0.0188677 + 0.813918i 0.00104659 + 0.0451480i
\(326\) 21.3375 + 6.93298i 1.18178 + 0.383982i
\(327\) −10.4549 2.82547i −0.578155 0.156249i
\(328\) −4.45536 + 4.01162i −0.246006 + 0.221505i
\(329\) −21.5308 19.3864i −1.18703 1.06881i
\(330\) 0.0320124 + 0.279200i 0.00176222 + 0.0153694i
\(331\) 2.12032 9.97531i 0.116543 0.548292i −0.880673 0.473725i \(-0.842909\pi\)
0.997216 0.0745674i \(-0.0237576\pi\)
\(332\) −0.794118 1.78362i −0.0435829 0.0978887i
\(333\) 17.1564 + 23.8285i 0.940164 + 1.30579i
\(334\) −6.57282 + 14.7628i −0.359649 + 0.807784i
\(335\) 0.340659 + 0.410851i 0.0186122 + 0.0224472i
\(336\) 4.96700 6.10685i 0.270972 0.333156i
\(337\) −14.6049 + 10.6111i −0.795580 + 0.578023i −0.909614 0.415454i \(-0.863623\pi\)
0.114034 + 0.993477i \(0.463623\pi\)
\(338\) 12.6900 2.69734i 0.690244 0.146716i
\(339\) 30.0430 4.69217i 1.63171 0.254844i
\(340\) 0.582504 0.0991923i 0.0315907 0.00537946i
\(341\) 0.179739 + 0.361820i 0.00973341 + 0.0195936i
\(342\) −18.9795 6.25714i −1.02629 0.338348i
\(343\) −28.7645 + 9.34617i −1.55314 + 0.504646i
\(344\) −0.0666857 + 0.0141745i −0.00359545 + 0.000764237i
\(345\) −5.73363 7.73701i −0.308688 0.416547i
\(346\) 0.429109 0.743239i 0.0230691 0.0399568i
\(347\) 1.30160 0.751480i 0.0698737 0.0403416i −0.464656 0.885491i \(-0.653822\pi\)
0.534530 + 0.845150i \(0.320489\pi\)
\(348\) 7.21333 11.0555i 0.386675 0.592635i
\(349\) 26.5667 + 19.3018i 1.42208 + 1.03320i 0.991423 + 0.130689i \(0.0417189\pi\)
0.430659 + 0.902515i \(0.358281\pi\)
\(350\) 15.5925 + 16.5302i 0.833453 + 0.883575i
\(351\) 0.536681 0.654077i 0.0286459 0.0349121i
\(352\) 0.00758473 + 0.0721639i 0.000404267 + 0.00384635i
\(353\) −1.58385 1.42611i −0.0843000 0.0759040i 0.625903 0.779901i \(-0.284730\pi\)
−0.710203 + 0.703996i \(0.751397\pi\)
\(354\) 5.53006 + 8.55575i 0.293919 + 0.454733i
\(355\) −1.14685 17.9095i −0.0608683 0.950537i
\(356\) −0.312571 + 0.961996i −0.0165663 + 0.0509857i
\(357\) 1.85139 + 0.948346i 0.0979857 + 0.0501918i
\(358\) −1.27875 + 12.1665i −0.0675841 + 0.643020i
\(359\) 8.65010 7.78859i 0.456535 0.411066i −0.408515 0.912752i \(-0.633953\pi\)
0.865050 + 0.501686i \(0.167287\pi\)
\(360\) −4.25950 5.18234i −0.224495 0.273133i
\(361\) −2.65240 25.2359i −0.139600 1.32820i
\(362\) −4.09556 + 19.2681i −0.215258 + 1.01271i
\(363\) 4.88926 + 18.4051i 0.256619 + 0.966017i
\(364\) −0.434968 + 0.598682i −0.0227985 + 0.0313795i
\(365\) −5.68751 + 22.2545i −0.297698 + 1.16485i
\(366\) −7.70428 20.2000i −0.402709 1.05587i
\(367\) −12.6683 + 21.9422i −0.661282 + 1.14537i 0.318997 + 0.947756i \(0.396654\pi\)
−0.980279 + 0.197619i \(0.936679\pi\)
\(368\) −1.46149 2.01157i −0.0761856 0.104860i
\(369\) −1.95690 + 17.8791i −0.101872 + 0.930746i
\(370\) −19.3835 + 10.1610i −1.00770 + 0.528245i
\(371\) 16.9058 0.877705
\(372\) −8.29154 4.92446i −0.429897 0.255321i
\(373\) 33.5243i 1.73582i 0.496722 + 0.867910i \(0.334537\pi\)
−0.496722 + 0.867910i \(0.665463\pi\)
\(374\) −0.0182361 + 0.00592528i −0.000942968 + 0.000306389i
\(375\) 16.4458 10.2242i 0.849259 0.527976i
\(376\) −5.15742 + 3.74709i −0.265974 + 0.193241i
\(377\) −0.620482 + 1.07471i −0.0319565 + 0.0553502i
\(378\) −1.08384 23.5904i −0.0557469 1.21336i
\(379\) 8.57513 + 3.81789i 0.440475 + 0.196112i 0.614977 0.788545i \(-0.289165\pi\)
−0.174503 + 0.984657i \(0.555832\pi\)
\(380\) 6.60814 13.3494i 0.338990 0.684811i
\(381\) 2.47926 + 9.33292i 0.127016 + 0.478140i
\(382\) 4.93486 23.2167i 0.252490 1.18787i
\(383\) 24.2875 2.55272i 1.24104 0.130438i 0.538831 0.842414i \(-0.318866\pi\)
0.702204 + 0.711976i \(0.252199\pi\)
\(384\) −1.08712 1.34840i −0.0554768 0.0688100i
\(385\) −0.578405 0.457387i −0.0294782 0.0233106i
\(386\) 2.58109 + 0.271283i 0.131374 + 0.0138080i
\(387\) −0.120928 + 0.164947i −0.00614711 + 0.00838473i
\(388\) −2.38612 0.775298i −0.121137 0.0393598i
\(389\) −2.82049 + 26.8351i −0.143004 + 1.36060i 0.653942 + 0.756545i \(0.273114\pi\)
−0.796946 + 0.604051i \(0.793552\pi\)
\(390\) 0.426377 + 0.464644i 0.0215904 + 0.0235281i
\(391\) 0.439653 0.488284i 0.0222342 0.0246936i
\(392\) 1.42732 + 13.5801i 0.0720907 + 0.685897i
\(393\) −28.3637 10.9578i −1.43076 0.552749i
\(394\) −7.25989 16.3060i −0.365748 0.821483i
\(395\) 24.6471 + 12.2006i 1.24013 + 0.613881i
\(396\) 0.161143 + 0.146353i 0.00809775 + 0.00735452i
\(397\) 1.60133 0.924528i 0.0803684 0.0464007i −0.459277 0.888293i \(-0.651892\pi\)
0.539646 + 0.841892i \(0.318558\pi\)
\(398\) 17.5593 + 10.1379i 0.880171 + 0.508167i
\(399\) 46.7731 23.7056i 2.34158 1.18676i
\(400\) 4.27103 2.59968i 0.213551 0.129984i
\(401\) −3.59973 11.0788i −0.179762 0.553251i 0.820057 0.572282i \(-0.193942\pi\)
−0.999819 + 0.0190312i \(0.993942\pi\)
\(402\) 0.408181 + 0.0655491i 0.0203582 + 0.00326929i
\(403\) 0.803539 + 0.419785i 0.0400271 + 0.0209110i
\(404\) 9.54887i 0.475074i
\(405\) −19.8862 3.08871i −0.988152 0.153479i
\(406\) 7.20149 + 33.8803i 0.357404 + 1.68145i
\(407\) 0.574553 0.417437i 0.0284795 0.0206916i
\(408\) 0.288804 0.355080i 0.0142979 0.0175791i
\(409\) −13.1975 + 7.61960i −0.652576 + 0.376765i −0.789443 0.613825i \(-0.789630\pi\)
0.136866 + 0.990590i \(0.456297\pi\)
\(410\) −12.9884 3.31940i −0.641451 0.163933i
\(411\) −12.0677 12.1197i −0.595256 0.597820i
\(412\) 0.333539 + 0.749142i 0.0164323 + 0.0369076i
\(413\) −26.1467 5.55765i −1.28660 0.273474i
\(414\) −7.28958 1.58223i −0.358264 0.0777624i
\(415\) 2.33516 3.68872i 0.114628 0.181072i
\(416\) 0.108953 + 0.121004i 0.00534185 + 0.00593272i
\(417\) 0.0158761 0.0587449i 0.000777454 0.00287675i
\(418\) −0.149368 + 0.459706i −0.00730581 + 0.0224850i
\(419\) −10.0797 3.27508i −0.492424 0.159998i 0.0522704 0.998633i \(-0.483354\pi\)
−0.544694 + 0.838635i \(0.683354\pi\)
\(420\) 17.5220 + 1.67457i 0.854984 + 0.0817107i
\(421\) −4.55143 5.05487i −0.221823 0.246359i 0.621953 0.783054i \(-0.286339\pi\)
−0.843776 + 0.536695i \(0.819673\pi\)
\(422\) −9.05838 + 10.0604i −0.440955 + 0.489730i
\(423\) −4.05664 + 18.6896i −0.197241 + 0.908719i
\(424\) 0.773398 3.63855i 0.0375595 0.176704i
\(425\) 0.906619 + 0.961141i 0.0439775 + 0.0466222i
\(426\) −9.80837 9.85062i −0.475217 0.477264i
\(427\) 51.8231 + 23.0731i 2.50789 + 1.11659i
\(428\) 7.23118 + 12.5248i 0.349532 + 0.605407i
\(429\) −0.0158759 0.0129126i −0.000766496 0.000623429i
\(430\) −0.109037 0.106539i −0.00525822 0.00513774i
\(431\) 1.37102 + 6.45015i 0.0660398 + 0.310693i 0.998753 0.0499265i \(-0.0158987\pi\)
−0.932713 + 0.360619i \(0.882565\pi\)
\(432\) −5.12683 0.845932i −0.246665 0.0406999i
\(433\) 40.0164 1.92307 0.961533 0.274689i \(-0.0885749\pi\)
0.961533 + 0.274689i \(0.0885749\pi\)
\(434\) 24.5074 6.29995i 1.17639 0.302407i
\(435\) 29.5161 0.278618i 1.41519 0.0133587i
\(436\) −1.93218 5.94664i −0.0925346 0.284792i
\(437\) −3.44370 16.2013i −0.164735 0.775015i
\(438\) 8.04345 + 15.8704i 0.384331 + 0.758317i
\(439\) 14.2659 24.7092i 0.680872 1.17930i −0.293843 0.955854i \(-0.594934\pi\)
0.974715 0.223451i \(-0.0717323\pi\)
\(440\) −0.124902 + 0.103563i −0.00595446 + 0.00493717i
\(441\) 30.3245 + 27.5413i 1.44403 + 1.31149i
\(442\) −0.0252910 + 0.0348101i −0.00120297 + 0.00165575i
\(443\) −30.6643 + 13.6526i −1.45691 + 0.648657i −0.973904 0.226962i \(-0.927121\pi\)
−0.483003 + 0.875619i \(0.660454\pi\)
\(444\) −6.10914 + 15.8132i −0.289927 + 0.750461i
\(445\) −2.17779 + 0.610672i −0.103237 + 0.0289486i
\(446\) −4.01917 + 4.46374i −0.190313 + 0.211364i
\(447\) −8.99547 13.9172i −0.425471 0.658261i
\(448\) 4.51987 + 0.475057i 0.213544 + 0.0224443i
\(449\) 3.56295 10.9656i 0.168146 0.517500i −0.831108 0.556111i \(-0.812293\pi\)
0.999254 + 0.0386103i \(0.0122931\pi\)
\(450\) 4.36513 14.3508i 0.205774 0.676504i
\(451\) 0.432642 + 0.0454725i 0.0203723 + 0.00214122i
\(452\) 11.7470 + 13.0463i 0.552532 + 0.613649i
\(453\) −18.7400 + 15.1088i −0.880482 + 0.709873i
\(454\) 0.175522 + 1.66998i 0.00823764 + 0.0783759i
\(455\) −1.65334 0.0674463i −0.0775098 0.00316193i
\(456\) −2.96228 11.1512i −0.138722 0.522203i
\(457\) −18.5904 13.5067i −0.869623 0.631818i 0.0608626 0.998146i \(-0.480615\pi\)
−0.930486 + 0.366328i \(0.880615\pi\)
\(458\) −0.429167 + 0.963926i −0.0200537 + 0.0450413i
\(459\) −0.0630197 1.37166i −0.00294151 0.0640234i
\(460\) 1.93219 5.21331i 0.0900888 0.243072i
\(461\) 13.6546 9.92068i 0.635960 0.462052i −0.222500 0.974933i \(-0.571422\pi\)
0.858460 + 0.512880i \(0.171422\pi\)
\(462\) −0.570466 + 0.0286675i −0.0265405 + 0.00133373i
\(463\) 3.16844 + 9.75146i 0.147250 + 0.453189i 0.997293 0.0735236i \(-0.0234244\pi\)
−0.850043 + 0.526713i \(0.823424\pi\)
\(464\) 7.62136 0.353813
\(465\) −1.11253 21.5351i −0.0515924 0.998668i
\(466\) 14.1960 0.657615
\(467\) −3.92012 12.0649i −0.181401 0.558296i 0.818466 0.574554i \(-0.194825\pi\)
−0.999868 + 0.0162583i \(0.994825\pi\)
\(468\) 0.485582 + 0.0531481i 0.0224460 + 0.00245677i
\(469\) −0.877586 + 0.637604i −0.0405232 + 0.0294418i
\(470\) −13.3663 4.95389i −0.616540 0.228506i
\(471\) −5.99571 15.7203i −0.276268 0.724351i
\(472\) −2.39229 + 5.37318i −0.110114 + 0.247321i
\(473\) 0.00400213 + 0.00290772i 0.000184018 + 0.000133697i
\(474\) 20.5885 5.46928i 0.945663 0.251213i
\(475\) 33.0352 4.24829i 1.51576 0.194925i
\(476\) 0.125536 + 1.19439i 0.00575391 + 0.0547448i
\(477\) −5.53816 9.68832i −0.253575 0.443598i
\(478\) −12.3214 13.6843i −0.563570 0.625908i
\(479\) 16.9420 + 1.78068i 0.774101 + 0.0813613i 0.483338 0.875434i \(-0.339424\pi\)
0.290763 + 0.956795i \(0.406091\pi\)
\(480\) 1.16200 3.69456i 0.0530376 0.168633i
\(481\) 0.492466 1.51565i 0.0224545 0.0691079i
\(482\) −10.9466 1.15053i −0.498604 0.0524054i
\(483\) 16.4379 10.6247i 0.747950 0.483442i
\(484\) −7.35691 + 8.17068i −0.334405 + 0.371395i
\(485\) −1.51470 5.40176i −0.0687791 0.245281i
\(486\) −13.1641 + 8.34910i −0.597134 + 0.378723i
\(487\) −21.6221 + 9.62678i −0.979791 + 0.436231i −0.833203 0.552967i \(-0.813496\pi\)
−0.146588 + 0.989198i \(0.546829\pi\)
\(488\) 7.33669 10.0981i 0.332116 0.457119i
\(489\) 32.5448 + 21.2345i 1.47173 + 0.960255i
\(490\) −23.5045 + 19.4889i −1.06183 + 0.880417i
\(491\) 12.6187 21.8562i 0.569473 0.986356i −0.427145 0.904183i \(-0.640481\pi\)
0.996618 0.0821729i \(-0.0261860\pi\)
\(492\) −9.26243 + 4.69440i −0.417583 + 0.211640i
\(493\) 0.418728 + 1.96996i 0.0188586 + 0.0887226i
\(494\) 0.335180 + 1.03158i 0.0150805 + 0.0464129i
\(495\) −0.0726387 + 0.481306i −0.00326487 + 0.0216331i
\(496\) −0.234756 5.56281i −0.0105409 0.249778i
\(497\) 36.4752 1.63614
\(498\) −0.521831 3.34117i −0.0233838 0.149722i
\(499\) 0.575626 + 2.70811i 0.0257685 + 0.121231i 0.989152 0.146896i \(-0.0469284\pi\)
−0.963383 + 0.268128i \(0.913595\pi\)
\(500\) 10.1322 + 4.72644i 0.453124 + 0.211373i
\(501\) −17.6612 + 21.7142i −0.789046 + 0.970119i
\(502\) −10.4759 18.1448i −0.467561 0.809840i
\(503\) −21.6821 9.65351i −0.966758 0.430429i −0.138245 0.990398i \(-0.544146\pi\)
−0.828513 + 0.559969i \(0.810813\pi\)
\(504\) 11.0647 7.96655i 0.492862 0.354858i
\(505\) −17.7713 + 11.8358i −0.790811 + 0.526687i
\(506\) −0.0375113 + 0.176477i −0.00166758 + 0.00784536i
\(507\) 22.4374 + 1.22425i 0.996478 + 0.0543711i
\(508\) −3.73057 + 4.14322i −0.165517 + 0.183825i
\(509\) 29.4524 + 32.7102i 1.30545 + 1.44985i 0.816266 + 0.577677i \(0.196041\pi\)
0.489189 + 0.872178i \(0.337293\pi\)
\(510\) 1.01881 + 0.0973673i 0.0451136 + 0.00431150i
\(511\) −44.4007 14.4267i −1.96417 0.638198i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) −28.9075 19.0389i −1.27630 0.840586i
\(514\) −7.00613 7.78109i −0.309027 0.343209i
\(515\) −0.980795 + 1.54931i −0.0432190 + 0.0682706i
\(516\) −0.117908 0.00643344i −0.00519061 0.000283216i
\(517\) 0.452465 + 0.0961744i 0.0198994 + 0.00422975i
\(518\) −18.0922 40.6357i −0.794926 1.78543i
\(519\) 1.05336 1.04884i 0.0462372 0.0460389i
\(520\) −0.0901524 + 0.352755i −0.00395344 + 0.0154693i
\(521\) −24.8794 + 14.3641i −1.08999 + 0.629303i −0.933573 0.358388i \(-0.883326\pi\)
−0.156413 + 0.987692i \(0.549993\pi\)
\(522\) 17.0569 15.2259i 0.746561 0.666418i
\(523\) 25.1706 18.2875i 1.10063 0.799658i 0.119471 0.992838i \(-0.461880\pi\)
0.981163 + 0.193180i \(0.0618800\pi\)
\(524\) −3.64997 17.1718i −0.159450 0.750152i
\(525\) 18.6019 + 34.6855i 0.811855 + 1.51380i
\(526\) 3.86388i 0.168473i
\(527\) 1.42497 0.366308i 0.0620728 0.0159566i
\(528\) −0.0199274 + 0.124090i −0.000867230 + 0.00540033i
\(529\) 5.19693 + 15.9945i 0.225953 + 0.695413i
\(530\) 7.73028 3.07062i 0.335782 0.133379i
\(531\) 5.38043 + 16.8047i 0.233491 + 0.729262i
\(532\) 26.2187 + 15.1374i 1.13672 + 0.656287i
\(533\) 0.845409 0.488097i 0.0366187 0.0211418i
\(534\) −0.957349 + 1.46727i −0.0414285 + 0.0634952i
\(535\) −14.3466 + 28.9823i −0.620258 + 1.25301i
\(536\) 0.0970810 + 0.218048i 0.00419326 + 0.00941822i
\(537\) −7.63598 + 19.7653i −0.329517 + 0.852937i
\(538\) −1.20156 11.4321i −0.0518029 0.492872i
\(539\) 0.662986 0.736320i 0.0285568 0.0317156i
\(540\) −4.78036 10.5900i −0.205714 0.455721i
\(541\) 0.311358 2.96237i 0.0133863 0.127362i −0.985788 0.167995i \(-0.946271\pi\)
0.999174 + 0.0406329i \(0.0129374\pi\)
\(542\) −20.0907 6.52785i −0.862967 0.280395i
\(543\) −15.5550 + 30.3668i −0.667527 + 1.30316i
\(544\) 0.262806 + 0.0276220i 0.0112677 + 0.00118428i
\(545\) 8.67227 10.9668i 0.371479 0.469767i
\(546\) −0.997829 + 0.804481i −0.0427031 + 0.0344286i
\(547\) 31.7661 3.33875i 1.35822 0.142755i 0.602746 0.797933i \(-0.294073\pi\)
0.755475 + 0.655178i \(0.227406\pi\)
\(548\) 2.05302 9.65870i 0.0877007 0.412599i
\(549\) −3.75403 37.2571i −0.160218 1.59010i
\(550\) −0.347555 0.104087i −0.0148198 0.00443828i
\(551\) 46.3800 + 20.6497i 1.97586 + 0.879707i
\(552\) −1.53472 4.02390i −0.0653219 0.171269i
\(553\) −27.9482 + 48.4077i −1.18848 + 2.05850i
\(554\) −6.14253 + 4.46281i −0.260971 + 0.189607i
\(555\) −37.0020 + 8.23081i −1.57065 + 0.349379i
\(556\) 0.0334136 0.0108567i 0.00141705 0.000460428i
\(557\) 27.6742i 1.17259i −0.810096 0.586297i \(-0.800585\pi\)
0.810096 0.586297i \(-0.199415\pi\)
\(558\) −11.6387 11.9808i −0.492707 0.507189i
\(559\) 0.0111008 0.000469515
\(560\) 4.71825 + 9.00069i 0.199383 + 0.380349i
\(561\) −0.0331695 + 0.00166686i −0.00140042 + 7.03750e-5i
\(562\) 5.36855 + 7.38918i 0.226459 + 0.311694i
\(563\) −14.5481 + 25.1980i −0.613128 + 1.06197i 0.377582 + 0.925976i \(0.376756\pi\)
−0.990710 + 0.135993i \(0.956578\pi\)
\(564\) −10.3168 + 3.93483i −0.434415 + 0.165686i
\(565\) −9.71998 + 38.0331i −0.408923 + 1.60006i
\(566\) −11.3242 + 15.5865i −0.475994 + 0.655149i
\(567\) 8.84783 39.9345i 0.371574 1.67709i
\(568\) 1.66865 7.85039i 0.0700151 0.329395i
\(569\) −3.12072 29.6917i −0.130828 1.24474i −0.841126 0.540840i \(-0.818107\pi\)
0.710298 0.703901i \(-0.248560\pi\)
\(570\) 17.0816 19.3350i 0.715470 0.809854i
\(571\) 0.627875 0.565342i 0.0262758 0.0236588i −0.655888 0.754858i \(-0.727706\pi\)
0.682164 + 0.731199i \(0.261039\pi\)
\(572\) 0.00123500 0.0117502i 5.16380e−5 0.000491303i
\(573\) 18.7426 36.5899i 0.782985 1.52856i
\(574\) 8.41982 25.9135i 0.351437 1.08161i
\(575\) 12.0974 2.86593i 0.504495 0.119517i
\(576\) −1.20842 2.74586i −0.0503507 0.114411i
\(577\) −23.7970 21.4269i −0.990682 0.892014i 0.00347089 0.999994i \(-0.498895\pi\)
−0.994153 + 0.107980i \(0.965562\pi\)
\(578\) −1.76968 16.8374i −0.0736092 0.700345i
\(579\) 4.19316 + 1.61995i 0.174262 + 0.0673229i
\(580\) 9.44667 + 14.1840i 0.392252 + 0.588958i
\(581\) 7.17861 + 5.21557i 0.297819 + 0.216378i
\(582\) −3.63941 2.37460i −0.150858 0.0984302i
\(583\) −0.233755 + 0.134958i −0.00968113 + 0.00558940i
\(584\) −5.13620 + 8.89616i −0.212537 + 0.368126i
\(585\) 0.502966 + 0.969587i 0.0207951 + 0.0400875i
\(586\) 11.6176 2.46939i 0.479917 0.102010i
\(587\) −13.6483 + 4.43460i −0.563325 + 0.183036i −0.576817 0.816873i \(-0.695705\pi\)
0.0134915 + 0.999909i \(0.495705\pi\)
\(588\) −3.75002 + 23.3517i −0.154648 + 0.963010i
\(589\) 13.6436 34.4888i 0.562174 1.42108i
\(590\) −12.9652 + 2.20779i −0.533769 + 0.0908934i
\(591\) −4.77062 30.5453i −0.196237 1.25647i
\(592\) −9.57351 + 2.03491i −0.393469 + 0.0836344i
\(593\) 18.0773 13.1340i 0.742348 0.539347i −0.151098 0.988519i \(-0.548281\pi\)
0.893445 + 0.449172i \(0.148281\pi\)
\(594\) 0.203308 + 0.317530i 0.00834181 + 0.0130284i
\(595\) −2.06726 + 1.71408i −0.0847495 + 0.0702704i
\(596\) 3.89142 8.74028i 0.159399 0.358016i
\(597\) 24.7792 + 24.8860i 1.01415 + 1.01852i
\(598\) 0.164672 + 0.369858i 0.00673392 + 0.0151246i
\(599\) −6.21895 + 29.2579i −0.254100 + 1.19544i 0.647225 + 0.762299i \(0.275930\pi\)
−0.901324 + 0.433145i \(0.857404\pi\)
\(600\) 8.31618 2.41683i 0.339507 0.0986667i
\(601\) −5.80495 5.22680i −0.236789 0.213206i 0.542190 0.840256i \(-0.317595\pi\)
−0.778979 + 0.627050i \(0.784262\pi\)
\(602\) 0.230257 0.207324i 0.00938458 0.00844991i
\(603\) 0.652885 + 0.294052i 0.0265875 + 0.0119747i
\(604\) −13.2178 4.29472i −0.537824 0.174750i
\(605\) −24.3252 3.56429i −0.988961 0.144909i
\(606\) −4.31497 + 15.9663i −0.175284 + 0.648588i
\(607\) −8.62663 + 7.76745i −0.350144 + 0.315271i −0.825370 0.564593i \(-0.809033\pi\)
0.475225 + 0.879864i \(0.342367\pi\)
\(608\) 4.45738 4.95042i 0.180771 0.200766i
\(609\) −3.26858 + 59.9044i −0.132449 + 2.42745i
\(610\) 27.8872 + 1.13763i 1.12912 + 0.0460613i
\(611\) 0.948271 0.422198i 0.0383629 0.0170803i
\(612\) 0.643354 0.463212i 0.0260060 0.0187242i
\(613\) −27.3788 12.1898i −1.10582 0.492343i −0.229129 0.973396i \(-0.573588\pi\)
−0.876692 + 0.481053i \(0.840254\pi\)
\(614\) −17.6923 + 10.2146i −0.714002 + 0.412229i
\(615\) −20.2175 11.4195i −0.815247 0.460478i
\(616\) −0.193836 0.266793i −0.00780989 0.0107494i
\(617\) 25.9520 5.51626i 1.04479 0.222076i 0.346616 0.938007i \(-0.387331\pi\)
0.698171 + 0.715931i \(0.253997\pi\)
\(618\) 0.219176 + 1.40333i 0.00881653 + 0.0564504i
\(619\) 3.11535i 0.125216i −0.998038 0.0626082i \(-0.980058\pi\)
0.998038 0.0626082i \(-0.0199418\pi\)
\(620\) 10.0619 7.33201i 0.404095 0.294461i
\(621\) −11.4737 5.93963i −0.460423 0.238349i
\(622\) −20.2577 + 6.58214i −0.812261 + 0.263920i
\(623\) −0.955778 4.49658i −0.0382925 0.180152i
\(624\) 0.127496 + 0.251561i 0.00510394 + 0.0100705i
\(625\) 3.76250 + 24.7153i 0.150500 + 0.988610i
\(626\) −11.4208 19.7815i −0.456469 0.790627i
\(627\) −0.457486 + 0.701162i −0.0182702 + 0.0280017i
\(628\) 5.70964 7.85865i 0.227840 0.313594i
\(629\) −1.05196 2.36275i −0.0419446 0.0942090i
\(630\) 28.5411 + 10.7179i 1.13711 + 0.427010i
\(631\) −7.43933 + 0.781906i −0.296155 + 0.0311272i −0.251441 0.967873i \(-0.580904\pi\)
−0.0447143 + 0.999000i \(0.514238\pi\)
\(632\) 9.13999 + 8.22968i 0.363569 + 0.327359i
\(633\) −19.6923 + 12.7282i −0.782699 + 0.505902i
\(634\) −2.76627 + 26.3193i −0.109863 + 1.04527i
\(635\) −12.3349 1.80739i −0.489496 0.0717241i
\(636\) 2.93737 5.73441i 0.116474 0.227384i
\(637\) 0.232407 2.21121i 0.00920831 0.0876112i
\(638\) −0.370040 0.410971i −0.0146500 0.0162705i
\(639\) −11.9489 20.9031i −0.472692 0.826915i
\(640\) 2.15302 0.603727i 0.0851058 0.0238644i
\(641\) 35.0344 + 7.44679i 1.38377 + 0.294130i 0.838854 0.544357i \(-0.183226\pi\)
0.544921 + 0.838487i \(0.316560\pi\)
\(642\) 6.43128 + 24.2099i 0.253822 + 0.955487i
\(643\) 38.5996 + 28.0442i 1.52222 + 1.10596i 0.960374 + 0.278714i \(0.0899083\pi\)
0.561845 + 0.827242i \(0.310092\pi\)
\(644\) 10.3233 + 4.59624i 0.406796 + 0.181117i
\(645\) −0.134174 0.227411i −0.00528309 0.00895431i
\(646\) 1.52447 + 0.880156i 0.0599796 + 0.0346293i
\(647\) 28.4855 + 39.2070i 1.11988 + 1.54139i 0.805993 + 0.591926i \(0.201632\pi\)
0.313889 + 0.949460i \(0.398368\pi\)
\(648\) −8.19013 3.73118i −0.321739 0.146575i
\(649\) 0.405895 0.131883i 0.0159328 0.00517687i
\(650\) −0.768251 + 0.269459i −0.0301333 + 0.0105690i
\(651\) 43.8248 + 0.540526i 1.71763 + 0.0211849i
\(652\) 22.4356i 0.878646i
\(653\) 9.34135 + 28.7497i 0.365555 + 1.12506i 0.949633 + 0.313366i \(0.101457\pi\)
−0.584077 + 0.811698i \(0.698543\pi\)
\(654\) −0.543549 10.8163i −0.0212544 0.422950i
\(655\) 27.4340 28.0773i 1.07193 1.09707i
\(656\) −5.19206 2.99764i −0.202716 0.117038i
\(657\) 6.27762 + 30.1710i 0.244913 + 1.17708i
\(658\) 11.7842 26.4677i 0.459396 1.03182i
\(659\) −9.69326 + 13.3416i −0.377596 + 0.519716i −0.954946 0.296781i \(-0.904087\pi\)
0.577350 + 0.816497i \(0.304087\pi\)
\(660\) −0.255642 + 0.116723i −0.00995087 + 0.00454344i
\(661\) 9.58645 + 2.03766i 0.372870 + 0.0792559i 0.390535 0.920588i \(-0.372290\pi\)
−0.0176653 + 0.999844i \(0.505623\pi\)
\(662\) 10.1423 1.06600i 0.394191 0.0414312i
\(663\) −0.0580184 + 0.0467762i −0.00225325 + 0.00181664i
\(664\) 1.45093 1.30642i 0.0563068 0.0506989i
\(665\) 4.32612 + 67.5579i 0.167760 + 2.61978i
\(666\) −17.3606 + 23.6801i −0.672709 + 0.917584i
\(667\) 18.0226 + 5.85589i 0.697837 + 0.226741i
\(668\) −16.0714 1.68917i −0.621820 0.0653559i
\(669\) −8.73739 + 5.64747i −0.337807 + 0.218344i
\(670\) −0.285473 + 0.450946i −0.0110288 + 0.0174216i
\(671\) −0.900744 + 0.0946720i −0.0347728 + 0.00365477i
\(672\) 7.34284 + 2.83678i 0.283256 + 0.109431i
\(673\) 34.0032 15.1392i 1.31073 0.583573i 0.371999 0.928233i \(-0.378672\pi\)
0.938728 + 0.344660i \(0.112006\pi\)
\(674\) −14.6049 10.6111i −0.562560 0.408724i
\(675\) 13.7837 22.0230i 0.530533 0.847664i
\(676\) 6.48674 + 11.2354i 0.249490 + 0.432130i
\(677\) −18.5382 10.7030i −0.712481 0.411351i 0.0994981 0.995038i \(-0.468276\pi\)
−0.811979 + 0.583687i \(0.801610\pi\)
\(678\) 13.7463 + 27.1226i 0.527924 + 1.04164i
\(679\) 11.1533 2.37070i 0.428023 0.0909791i
\(680\) 0.274341 + 0.523342i 0.0105205 + 0.0200692i
\(681\) −0.461150 + 2.87163i −0.0176713 + 0.110041i
\(682\) −0.288569 + 0.282750i −0.0110499 + 0.0108271i
\(683\) 7.59693 0.290688 0.145344 0.989381i \(-0.453571\pi\)
0.145344 + 0.989381i \(0.453571\pi\)
\(684\) 0.0859042 19.9842i 0.00328463 0.764113i
\(685\) 20.5204 8.15111i 0.784044 0.311438i
\(686\) −17.7775 24.4686i −0.678747 0.934215i
\(687\) −1.15318 + 1.41781i −0.0439965 + 0.0540930i
\(688\) −0.0340877 0.0590417i −0.00129958 0.00225094i
\(689\) −0.246357 + 0.553327i −0.00938545 + 0.0210801i
\(690\) 5.58655 7.84387i 0.212676 0.298611i
\(691\) 8.13228 3.62073i 0.309367 0.137739i −0.246180 0.969224i \(-0.579176\pi\)
0.555547 + 0.831485i \(0.312509\pi\)
\(692\) 0.839465 + 0.178434i 0.0319117 + 0.00678303i
\(693\) −0.966811 0.209850i −0.0367261 0.00797153i
\(694\) 1.11692 + 1.00568i 0.0423976 + 0.0381750i
\(695\) 0.0616215 + 0.0487287i 0.00233744 + 0.00184838i
\(696\) 12.7434 + 3.44396i 0.483037 + 0.130543i
\(697\) 0.489567 1.50673i 0.0185437 0.0570716i
\(698\) −10.1476 + 31.2310i −0.384091 + 1.18211i
\(699\) 23.7366 + 6.41491i 0.897800 + 0.242634i
\(700\) −10.9028 + 19.9374i −0.412087 + 0.753564i
\(701\) −14.4270 12.9901i −0.544901 0.490631i 0.350090 0.936716i \(-0.386151\pi\)
−0.894991 + 0.446085i \(0.852818\pi\)
\(702\) 0.787908 + 0.308293i 0.0297377 + 0.0116358i
\(703\) −63.7734 13.5555i −2.40526 0.511254i
\(704\) −0.0662881 + 0.0295134i −0.00249833 + 0.00111233i
\(705\) −20.1107 14.3232i −0.757413 0.539444i
\(706\) 0.866871 1.94703i 0.0326251 0.0732773i
\(707\) −21.6987 37.5832i −0.816062 1.41346i
\(708\) −6.42812 + 7.90327i −0.241584 + 0.297023i
\(709\) 9.41148 + 12.9538i 0.353456 + 0.486490i 0.948311 0.317343i \(-0.102791\pi\)
−0.594855 + 0.803833i \(0.702791\pi\)
\(710\) 16.6785 6.62505i 0.625934 0.248634i
\(711\) 36.8969 + 0.158605i 1.38374 + 0.00594817i
\(712\) −1.01150 −0.0379077
\(713\) 3.71906 13.3350i 0.139280 0.499400i
\(714\) −0.329821 + 2.05383i −0.0123432 + 0.0768626i
\(715\) 0.0233990 0.0122660i 0.000875073 0.000458722i
\(716\) −11.9662 + 2.54349i −0.447197 + 0.0950547i
\(717\) −14.4185 28.4490i −0.538470 1.06245i
\(718\) 10.0804 + 5.81993i 0.376198 + 0.217198i
\(719\) −20.1784 34.9501i −0.752529 1.30342i −0.946593 0.322430i \(-0.895500\pi\)
0.194064 0.980989i \(-0.437833\pi\)
\(720\) 3.61244 5.65246i 0.134628 0.210655i
\(721\) −3.01511 2.19060i −0.112288 0.0815823i
\(722\) 23.1811 10.3209i 0.862711 0.384104i
\(723\) −17.7835 6.87034i −0.661376 0.255511i
\(724\) −19.5907 + 2.05906i −0.728081 + 0.0765244i
\(725\) −14.6885 + 35.1621i −0.545517 + 1.30589i
\(726\) −15.9934 + 10.3374i −0.593572 + 0.383659i
\(727\) 19.2258 + 2.02071i 0.713045 + 0.0749441i 0.454104 0.890949i \(-0.349960\pi\)
0.258942 + 0.965893i \(0.416626\pi\)
\(728\) −0.703793 0.228676i −0.0260843 0.00847530i
\(729\) −25.7840 + 8.01163i −0.954962 + 0.296727i
\(730\) −22.9228 + 1.46788i −0.848412 + 0.0543287i
\(731\) 0.0133882 0.0120548i 0.000495181 0.000445863i
\(732\) 16.8306 13.5693i 0.622076 0.501537i
\(733\) 48.3210 5.07874i 1.78478 0.187588i 0.846249 0.532788i \(-0.178856\pi\)
0.938529 + 0.345200i \(0.112189\pi\)
\(734\) −24.7830 5.26780i −0.914758 0.194438i
\(735\) −48.1078 + 21.9654i −1.77448 + 0.810205i
\(736\) 1.46149 2.01157i 0.0538714 0.0741476i
\(737\) 0.00704433 0.0158218i 0.000259481 0.000582805i
\(738\) −17.6087 + 3.66381i −0.648185 + 0.134867i
\(739\) −14.9026 8.60400i −0.548200 0.316503i 0.200196 0.979756i \(-0.435842\pi\)
−0.748396 + 0.663253i \(0.769176\pi\)
\(740\) −15.6535 15.2948i −0.575434 0.562250i
\(741\) 0.0942908 + 1.87633i 0.00346386 + 0.0689286i
\(742\) 5.22418 + 16.0784i 0.191786 + 0.590255i
\(743\) 38.6879i 1.41932i −0.704543 0.709661i \(-0.748848\pi\)
0.704543 0.709661i \(-0.251152\pi\)
\(744\) 2.12121 9.40747i 0.0777673 0.344895i
\(745\) 21.0898 3.59130i 0.772671 0.131575i
\(746\) −31.8835 + 10.3596i −1.16734 + 0.379291i
\(747\) 0.637282 5.82247i 0.0233169 0.213033i
\(748\) −0.0112706 0.0155126i −0.000412092 0.000567196i
\(749\) −56.9221 32.8640i −2.07989 1.20082i
\(750\) 14.8058 + 12.4815i 0.540633 + 0.455759i
\(751\) −38.7106 17.2351i −1.41257 0.628917i −0.448312 0.893877i \(-0.647974\pi\)
−0.964259 + 0.264960i \(0.914641\pi\)
\(752\) −5.15742 3.74709i −0.188072 0.136642i
\(753\) −9.31705 35.0731i −0.339532 1.27813i
\(754\) −1.21385 0.258011i −0.0442057 0.00939621i
\(755\) −8.39060 29.9227i −0.305365 1.08900i
\(756\) 22.1009 8.32063i 0.803801 0.302618i
\(757\) −30.0652 33.3908i −1.09274 1.21361i −0.975383 0.220518i \(-0.929225\pi\)
−0.117354 0.993090i \(-0.537441\pi\)
\(758\) −0.981172 + 9.33523i −0.0356378 + 0.339071i
\(759\) −0.142468 + 0.278130i −0.00517127 + 0.0100955i
\(760\) 14.7381 + 2.15952i 0.534606 + 0.0783339i
\(761\) −3.11100 + 29.5991i −0.112774 + 1.07297i 0.781025 + 0.624500i \(0.214697\pi\)
−0.893799 + 0.448469i \(0.851970\pi\)
\(762\) −8.11000 + 5.24195i −0.293794 + 0.189896i
\(763\) 21.1179 + 19.0146i 0.764518 + 0.688375i
\(764\) 23.6054 2.48102i 0.854012 0.0897603i
\(765\) 1.65951 + 0.623186i 0.0599999 + 0.0225313i
\(766\) 9.93305 + 22.3100i 0.358896 + 0.806093i
\(767\) 0.562921 0.774794i 0.0203259 0.0279762i
\(768\) 0.946462 1.45059i 0.0341525 0.0523436i
\(769\) 3.35583 + 5.81246i 0.121014 + 0.209603i 0.920168 0.391524i \(-0.128052\pi\)
−0.799154 + 0.601127i \(0.794719\pi\)
\(770\) 0.256264 0.691436i 0.00923513 0.0249176i
\(771\) −8.19856 16.1764i −0.295264 0.582580i
\(772\) 0.539594 + 2.53859i 0.0194204 + 0.0913659i
\(773\) 33.8645 11.0032i 1.21802 0.395759i 0.371660 0.928369i \(-0.378789\pi\)
0.846361 + 0.532610i \(0.178789\pi\)
\(774\) −0.194243 0.0640377i −0.00698191 0.00230179i
\(775\) 26.1172 + 9.63802i 0.938158 + 0.346208i
\(776\) 2.50892i 0.0900649i
\(777\) −11.8888 76.1212i −0.426507 2.73083i
\(778\) −26.3933 + 5.61007i −0.946246 + 0.201131i
\(779\) −23.4745 32.3099i −0.841061 1.15762i
\(780\) −0.310145 + 0.549091i −0.0111050 + 0.0196606i
\(781\) −0.504339 + 0.291180i −0.0180467 + 0.0104193i
\(782\) 0.600246 + 0.267247i 0.0214648 + 0.00955672i
\(783\) 35.4006 17.7509i 1.26511 0.634366i
\(784\) −12.4743 + 5.55394i −0.445512 + 0.198355i
\(785\) 21.7027 + 0.885339i 0.774603 + 0.0315991i
\(786\) 1.65663 30.3617i 0.0590900 1.08296i
\(787\) −24.0875 + 26.7519i −0.858628 + 0.953603i −0.999336 0.0364482i \(-0.988396\pi\)
0.140708 + 0.990051i \(0.455062\pi\)
\(788\) 13.2645 11.9434i 0.472528 0.425466i
\(789\) 1.74602 6.46066i 0.0621600 0.230006i
\(790\) −3.98713 + 27.2110i −0.141856 + 0.968124i
\(791\) −75.8810 24.6552i −2.69802 0.876639i
\(792\) −0.0893941 + 0.198482i −0.00317648 + 0.00705275i
\(793\) −1.51037 + 1.35994i −0.0536347 + 0.0482929i
\(794\) 1.37412 + 1.23726i 0.0487655 + 0.0439087i
\(795\) 14.3131 1.64110i 0.507633 0.0582040i
\(796\) −4.21557 + 19.8327i −0.149417 + 0.702952i
\(797\) 3.40411 + 7.64576i 0.120580 + 0.270827i 0.963744 0.266830i \(-0.0859763\pi\)
−0.843164 + 0.537657i \(0.819310\pi\)
\(798\) 36.9990 + 37.1584i 1.30975 + 1.31539i
\(799\) 0.685187 1.53896i 0.0242402 0.0544444i
\(800\) 3.79226 + 3.25864i 0.134077 + 0.115210i
\(801\) −2.26379 + 2.02077i −0.0799869 + 0.0714004i
\(802\) 9.42423 6.84710i 0.332781 0.241780i
\(803\) 0.729091 0.154973i 0.0257291 0.00546888i
\(804\) 0.0637939 + 0.408459i 0.00224984 + 0.0144052i
\(805\) 4.24176 + 24.9096i 0.149503 + 0.877949i
\(806\) −0.150932 + 0.893932i −0.00531637 + 0.0314874i
\(807\) 3.15687 19.6581i 0.111127 0.691999i
\(808\) −9.08151 + 2.95076i −0.319486 + 0.103807i
\(809\) 36.5146 7.76141i 1.28378 0.272877i 0.485010 0.874509i \(-0.338816\pi\)
0.798773 + 0.601632i \(0.205483\pi\)
\(810\) −3.20763 19.8673i −0.112705 0.698067i
\(811\) −6.41167 + 11.1053i −0.225144 + 0.389961i −0.956363 0.292182i \(-0.905619\pi\)
0.731219 + 0.682143i \(0.238952\pi\)
\(812\) −29.9967 + 17.3186i −1.05268 + 0.607765i
\(813\) −30.6431 19.9936i −1.07470 0.701206i
\(814\) 0.574553 + 0.417437i 0.0201381 + 0.0146312i
\(815\) −41.7546 + 27.8089i −1.46260 + 0.974104i
\(816\) 0.426947 + 0.164943i 0.0149461 + 0.00577417i
\(817\) −0.0474713 0.451660i −0.00166081 0.0158016i
\(818\) −11.3249 10.1970i −0.395967 0.356530i
\(819\) −2.03197 + 0.894243i −0.0710026 + 0.0312474i
\(820\) −0.856699 13.3784i −0.0299172 0.467195i
\(821\) 5.47820 16.8602i 0.191190 0.588424i −0.808809 0.588071i \(-0.799888\pi\)
1.00000 0.000352973i \(-0.000112355\pi\)
\(822\) 7.79738 15.2223i 0.271965 0.530937i
\(823\) −1.61946 + 15.4082i −0.0564510 + 0.537095i 0.929353 + 0.369193i \(0.120366\pi\)
−0.985804 + 0.167902i \(0.946301\pi\)
\(824\) −0.609407 + 0.548712i −0.0212297 + 0.0191153i
\(825\) −0.534100 0.331094i −0.0185950 0.0115272i
\(826\) −2.79413 26.5844i −0.0972203 0.924990i
\(827\) 2.82703 13.3001i 0.0983055 0.462491i −0.901267 0.433264i \(-0.857362\pi\)
0.999573 0.0292276i \(-0.00930475\pi\)
\(828\) −0.747815 7.42174i −0.0259884 0.257923i
\(829\) 18.2768 25.1559i 0.634781 0.873701i −0.363543 0.931578i \(-0.618433\pi\)
0.998324 + 0.0578762i \(0.0184329\pi\)
\(830\) 4.22978 + 1.08099i 0.146818 + 0.0375217i
\(831\) −12.2874 + 4.68640i −0.426244 + 0.162570i
\(832\) −0.0814136 + 0.141013i −0.00282251 + 0.00488873i
\(833\) −2.12093 2.91922i −0.0734860 0.101145i
\(834\) 0.0607757 0.00305415i 0.00210449 0.000105757i
\(835\) −16.7768 32.0039i −0.580584 1.10754i
\(836\) −0.483364 −0.0167175
\(837\) −14.0468 25.2920i −0.485528 0.874221i
\(838\) 10.5984i 0.366115i
\(839\) 6.42585 2.08789i 0.221845 0.0720818i −0.195986 0.980607i \(-0.562791\pi\)
0.417831 + 0.908525i \(0.362791\pi\)
\(840\) 3.82197 + 17.1818i 0.131871 + 0.592830i
\(841\) −23.5303 + 17.0958i −0.811390 + 0.589509i
\(842\) 3.40100 5.89071i 0.117206 0.203007i
\(843\) 5.63753 + 14.7811i 0.194167 + 0.509090i
\(844\) −12.3672 5.50621i −0.425695 0.189532i
\(845\) −12.8697 + 25.9986i −0.442730 + 0.894380i
\(846\) −19.0284 + 1.91731i −0.654211 + 0.0659183i
\(847\) 10.3890 48.8765i 0.356971 1.67942i
\(848\) 3.69946 0.388829i 0.127040 0.0133524i
\(849\) −25.9781 + 20.9444i −0.891567 + 0.718810i
\(850\) −0.633938 + 1.15925i −0.0217439 + 0.0397621i
\(851\) −24.2024 2.54378i −0.829649 0.0871996i
\(852\) 6.33755 12.3723i 0.217121 0.423869i
\(853\) −45.5703 14.8067i −1.56030 0.506972i −0.603411 0.797431i \(-0.706192\pi\)
−0.956887 + 0.290459i \(0.906192\pi\)
\(854\) −5.92963 + 56.4166i −0.202908 + 1.93054i
\(855\) 37.2987 24.6105i 1.27559 0.841661i
\(856\) −9.67720 + 10.7476i −0.330760 + 0.367346i
\(857\) 2.71008 + 25.7846i 0.0925744 + 0.880787i 0.937986 + 0.346672i \(0.112688\pi\)
−0.845412 + 0.534115i \(0.820645\pi\)
\(858\) 0.00737473 0.0190891i 0.000251769 0.000651691i
\(859\) 20.0535 + 45.0409i 0.684216 + 1.53677i 0.836220 + 0.548395i \(0.184761\pi\)
−0.152004 + 0.988380i \(0.548573\pi\)
\(860\) 0.0676299 0.136622i 0.00230616 0.00465879i
\(861\) 25.7884 39.5244i 0.878865 1.34699i
\(862\) −5.71079 + 3.29713i −0.194510 + 0.112301i
\(863\) 22.3954 + 12.9300i 0.762347 + 0.440141i 0.830138 0.557558i \(-0.188262\pi\)
−0.0677906 + 0.997700i \(0.521595\pi\)
\(864\) −0.779749 5.13731i −0.0265276 0.174775i
\(865\) 0.708436 + 1.78348i 0.0240875 + 0.0606403i
\(866\) 12.3658 + 38.0579i 0.420205 + 1.29326i
\(867\) 4.64951 28.9530i 0.157906 0.983294i
\(868\) 13.5648 + 21.3611i 0.460420 + 0.725043i
\(869\) 0.892437i 0.0302739i
\(870\) 9.38595 + 27.9853i 0.318213 + 0.948792i
\(871\) −0.00808029 0.0380148i −0.000273790 0.00128808i
\(872\) 5.05851 3.67523i 0.171303 0.124459i
\(873\) −5.01229 5.61507i −0.169640 0.190041i
\(874\) 14.3442 8.28165i 0.485201 0.280131i
\(875\) −50.6193 + 4.42143i −1.71124 + 0.149471i
\(876\) −12.6081 + 12.5540i −0.425988 + 0.424160i
\(877\) −1.09153 2.45161i −0.0368582 0.0827850i 0.894178 0.447711i \(-0.147761\pi\)
−0.931036 + 0.364926i \(0.881094\pi\)
\(878\) 27.9082 + 5.93207i 0.941857 + 0.200198i
\(879\) 20.5412 + 1.12079i 0.692838 + 0.0378035i
\(880\) −0.137091 0.0867860i −0.00462134 0.00292556i
\(881\) −6.02561 6.69211i −0.203008 0.225463i 0.633041 0.774118i \(-0.281807\pi\)
−0.836049 + 0.548655i \(0.815140\pi\)
\(882\) −16.8225 + 37.3511i −0.566444 + 1.25768i
\(883\) −3.46808 + 10.6737i −0.116710 + 0.359197i −0.992300 0.123858i \(-0.960473\pi\)
0.875590 + 0.483056i \(0.160473\pi\)
\(884\) −0.0409218 0.0132963i −0.00137635 0.000447203i
\(885\) −22.6763 2.16717i −0.762256 0.0728487i
\(886\) −22.4602 24.9446i −0.754566 0.838031i
\(887\) 30.4226 33.7878i 1.02149 1.13448i 0.0306397 0.999530i \(-0.490246\pi\)
0.990852 0.134951i \(-0.0430878\pi\)
\(888\) −16.9271 0.923596i −0.568035 0.0309938i
\(889\) 5.26810 24.7845i 0.176687 0.831245i
\(890\) −1.25376 1.88249i −0.0420260 0.0631013i
\(891\) 0.196457 + 0.622802i 0.00658157 + 0.0208646i
\(892\) −5.48726 2.44308i −0.183727 0.0818005i
\(893\) −21.2331 36.7768i −0.710539 1.23069i
\(894\) 10.4563 12.8559i 0.349711 0.429964i
\(895\) −19.5657 19.1174i −0.654011 0.639026i
\(896\) 0.944909 + 4.44545i 0.0315672 + 0.148512i
\(897\) 0.108209 + 0.692840i 0.00361300 + 0.0231332i
\(898\) 11.5299 0.384759
\(899\) 26.3673 + 33.2476i 0.879399 + 1.10887i
\(900\) 14.9973 0.283161i 0.499911 0.00943871i
\(901\) 0.303758 + 0.934870i 0.0101196 + 0.0311450i
\(902\) 0.0904469 + 0.425519i 0.00301155 + 0.0141682i
\(903\) 0.478691 0.242611i 0.0159298 0.00807358i
\(904\) −8.77780 + 15.2036i −0.291945 + 0.505664i
\(905\) −28.1147 33.9077i −0.934564 1.12713i
\(906\) −20.1603 13.1539i −0.669781 0.437010i
\(907\) −21.8578 + 30.0847i −0.725777 + 0.998947i 0.273535 + 0.961862i \(0.411807\pi\)
−0.999312 + 0.0370846i \(0.988193\pi\)
\(908\) −1.53400 + 0.682982i −0.0509077 + 0.0226656i
\(909\) −14.4298 + 24.7469i −0.478607 + 0.820802i
\(910\) −0.446765 1.59326i −0.0148101 0.0528161i
\(911\) −1.53268 + 1.70221i −0.0507799 + 0.0563968i −0.768000 0.640450i \(-0.778748\pi\)
0.717220 + 0.696847i \(0.245414\pi\)
\(912\) 9.69003 6.26321i 0.320869 0.207396i
\(913\) −0.140894 0.0148085i −0.00466290 0.000490090i
\(914\) 7.10091 21.8544i 0.234877 0.722878i
\(915\) 46.1152 + 14.5039i 1.52452 + 0.479486i
\(916\) −1.04937 0.110293i −0.0346721 0.00364418i
\(917\) 53.3866 + 59.2919i 1.76298 + 1.95799i
\(918\) 1.28505 0.483800i 0.0424129 0.0159678i
\(919\) 4.97975 + 47.3791i 0.164267 + 1.56289i 0.697288 + 0.716791i \(0.254390\pi\)
−0.533021 + 0.846102i \(0.678943\pi\)
\(920\) 5.55523 + 0.226620i 0.183151 + 0.00747143i
\(921\) −34.1984 + 9.08471i −1.12688 + 0.299351i
\(922\) 13.6546 + 9.92068i 0.449692 + 0.326720i
\(923\) −0.531529 + 1.19383i −0.0174955 + 0.0392955i
\(924\) −0.203548 0.533687i −0.00669624 0.0175570i
\(925\) 9.06249 48.0905i 0.297973 1.58121i
\(926\) −8.29509 + 6.02674i −0.272594 + 0.198051i
\(927\) −0.267666 + 2.44551i −0.00879132 + 0.0803210i
\(928\) 2.35513 + 7.24834i 0.0773109 + 0.237938i
\(929\) 13.7473 0.451034 0.225517 0.974239i \(-0.427593\pi\)
0.225517 + 0.974239i \(0.427593\pi\)
\(930\) 20.1373 7.71280i 0.660330 0.252913i
\(931\) −90.9612 −2.98113
\(932\) 4.38679 + 13.5012i 0.143694 + 0.442245i
\(933\) −36.8466 + 1.85165i −1.20630 + 0.0606202i
\(934\) 10.2630 7.45651i 0.335816 0.243984i
\(935\) 0.0149004 0.0402033i 0.000487295 0.00131479i
\(936\) 0.0995063 + 0.478240i 0.00325246 + 0.0156317i
\(937\) −2.86008 + 6.42384i −0.0934346 + 0.209858i −0.954217 0.299116i \(-0.903308\pi\)
0.860782 + 0.508974i \(0.169975\pi\)
\(938\) −0.877586 0.637604i −0.0286542 0.0208185i
\(939\) −10.1575 38.2368i −0.331477 1.24781i
\(940\) 0.581025 14.2429i 0.0189509 0.464553i
\(941\) −2.95027 28.0700i −0.0961762 0.915055i −0.931118 0.364717i \(-0.881166\pi\)
0.834942 0.550338i \(-0.185501\pi\)
\(942\) 13.0981 10.5601i 0.426759 0.344066i
\(943\) −9.97466 11.0780i −0.324820 0.360749i
\(944\) −5.84946 0.614803i −0.190384 0.0200101i
\(945\) 42.8794 + 30.8182i 1.39487 + 1.00252i
\(946\) −0.00152868 + 0.00470479i −4.97016e−5 + 0.000152966i
\(947\) −54.9658 5.77714i −1.78615 0.187732i −0.847080 0.531465i \(-0.821642\pi\)
−0.939067 + 0.343733i \(0.888308\pi\)
\(948\) 11.5638 + 17.8908i 0.375575 + 0.581065i
\(949\) 1.11921 1.24300i 0.0363310 0.0403496i
\(950\) 14.2488 + 30.1055i 0.462292 + 0.976753i
\(951\) −16.5186 + 42.7575i −0.535653 + 1.38651i
\(952\) −1.09714 + 0.488479i −0.0355585 + 0.0158317i
\(953\) −22.4527 + 30.9034i −0.727313 + 1.00106i 0.271936 + 0.962315i \(0.412336\pi\)
−0.999249 + 0.0387449i \(0.987664\pi\)
\(954\) 7.50275 8.26096i 0.242911 0.267459i
\(955\) 33.8762 + 40.8564i 1.09621 + 1.32208i
\(956\) 9.20705 15.9471i 0.297777 0.515766i
\(957\) −0.433020 0.854385i −0.0139976 0.0276183i
\(958\) 3.54185 + 16.6631i 0.114432 + 0.538360i
\(959\) 13.8678 + 42.6807i 0.447815 + 1.37823i
\(960\) 3.87281 0.0365576i 0.124994 0.00117989i
\(961\) 23.4552 20.2696i 0.756618 0.653857i
\(962\) 1.59365 0.0513815
\(963\) −0.186503 + 43.3867i −0.00600996 + 1.39812i
\(964\) −2.28846 10.7664i −0.0737064 0.346761i
\(965\) −4.05571 + 4.15082i −0.130558 + 0.133619i
\(966\) 15.1843 + 12.3501i 0.488547 + 0.397359i
\(967\) −7.50929 13.0065i −0.241483 0.418260i 0.719654 0.694333i \(-0.244300\pi\)
−0.961137 + 0.276072i \(0.910967\pi\)
\(968\) −10.0442 4.47196i −0.322832 0.143734i
\(969\) 2.15129 + 2.16056i 0.0691095 + 0.0694072i
\(970\) 4.66931 3.10980i 0.149923 0.0998498i
\(971\) −2.37945 + 11.1944i −0.0763603 + 0.359247i −0.999694 0.0247526i \(-0.992120\pi\)
0.923333 + 0.383999i \(0.125454\pi\)
\(972\) −12.0084 9.93975i −0.385169 0.318818i
\(973\) −0.106841 + 0.118659i −0.00342517 + 0.00380404i
\(974\) −15.8372 17.5890i −0.507457 0.563588i
\(975\) −1.40633 + 0.103393i −0.0450386 + 0.00331123i
\(976\) 11.8710 + 3.85713i 0.379982 + 0.123464i
\(977\) 6.00045 18.4675i 0.191971 0.590827i −0.808027 0.589145i \(-0.799465\pi\)
0.999999 0.00168183i \(-0.000535344\pi\)
\(978\) −10.1383 + 37.5138i −0.324186 + 1.19956i
\(979\) 0.0491115 + 0.0545439i 0.00156961 + 0.00174323i
\(980\) −25.7983 16.3317i −0.824097 0.521698i
\(981\) 3.97884 18.3312i 0.127035 0.585269i
\(982\) 24.6859 + 5.24714i 0.787757 + 0.167443i
\(983\) 8.55956 + 19.2251i 0.273007 + 0.613185i 0.997065 0.0765544i \(-0.0243919\pi\)
−0.724058 + 0.689739i \(0.757725\pi\)
\(984\) −7.32688 7.35845i −0.233573 0.234579i
\(985\) 38.6690 + 9.88250i 1.23210 + 0.314883i
\(986\) −1.74415 + 1.00699i −0.0555450 + 0.0320689i
\(987\) 31.6642 38.9307i 1.00788 1.23918i
\(988\) −0.877513 + 0.637550i −0.0279174 + 0.0202832i
\(989\) −0.0352440 0.165810i −0.00112069 0.00527245i
\(990\) −0.480196 + 0.0796482i −0.0152616 + 0.00253139i
\(991\) 20.4524i 0.649692i −0.945767 0.324846i \(-0.894688\pi\)
0.945767 0.324846i \(-0.105312\pi\)
\(992\) 5.21801 1.94227i 0.165672 0.0616671i
\(993\) 17.4403 + 2.80071i 0.553451 + 0.0888778i
\(994\) 11.2715 + 34.6900i 0.357509 + 1.10030i
\(995\) −42.1356 + 16.7371i −1.33579 + 0.530602i
\(996\) 3.01639 1.52877i 0.0955780 0.0484409i
\(997\) −1.82622 1.05437i −0.0578370 0.0333922i 0.470803 0.882239i \(-0.343964\pi\)
−0.528640 + 0.848846i \(0.677298\pi\)
\(998\) −2.39768 + 1.38430i −0.0758973 + 0.0438193i
\(999\) −39.7287 + 31.7497i −1.25696 + 1.00452i
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 930.2.bo.a.179.16 256
3.2 odd 2 930.2.bo.b.179.12 yes 256
5.4 even 2 930.2.bo.b.179.17 yes 256
15.14 odd 2 inner 930.2.bo.a.179.21 yes 256
31.22 odd 30 inner 930.2.bo.a.239.21 yes 256
93.53 even 30 930.2.bo.b.239.17 yes 256
155.84 odd 30 930.2.bo.b.239.12 yes 256
465.239 even 30 inner 930.2.bo.a.239.16 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bo.a.179.16 256 1.1 even 1 trivial
930.2.bo.a.179.21 yes 256 15.14 odd 2 inner
930.2.bo.a.239.16 yes 256 465.239 even 30 inner
930.2.bo.a.239.21 yes 256 31.22 odd 30 inner
930.2.bo.b.179.12 yes 256 3.2 odd 2
930.2.bo.b.179.17 yes 256 5.4 even 2
930.2.bo.b.239.12 yes 256 155.84 odd 30
930.2.bo.b.239.17 yes 256 93.53 even 30