Properties

Label 570.2.bf.a.59.4
Level $570$
Weight $2$
Character 570.59
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [570,2,Mod(29,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 17]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), 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: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.4
Character \(\chi\) \(=\) 570.59
Dual form 570.2.bf.a.29.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 - 0.173648i) q^{2} +(-1.37297 - 1.05591i) q^{3} +(0.939693 + 0.342020i) q^{4} +(1.98695 - 1.02568i) q^{5} +(1.16876 + 1.27828i) q^{6} +(3.69762 - 2.13482i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.770112 + 2.89947i) q^{9} +O(q^{10})\) \(q+(-0.984808 - 0.173648i) q^{2} +(-1.37297 - 1.05591i) q^{3} +(0.939693 + 0.342020i) q^{4} +(1.98695 - 1.02568i) q^{5} +(1.16876 + 1.27828i) q^{6} +(3.69762 - 2.13482i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.770112 + 2.89947i) q^{9} +(-2.13487 + 0.665072i) q^{10} +(2.36199 + 1.36370i) q^{11} +(-0.929031 - 1.46181i) q^{12} +(2.74838 - 2.30617i) q^{13} +(-4.01215 + 1.46030i) q^{14} +(-3.81106 - 0.689801i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-1.27551 + 7.23376i) q^{17} +(-0.254925 - 2.98915i) q^{18} +(0.726170 + 4.29799i) q^{19} +(2.21793 - 0.284252i) q^{20} +(-7.33090 - 0.973296i) q^{21} +(-2.08931 - 1.75314i) q^{22} +(-0.504945 - 0.183785i) q^{23} +(0.661075 + 1.60093i) q^{24} +(2.89594 - 4.07597i) q^{25} +(-3.10709 + 1.79388i) q^{26} +(2.00423 - 4.79406i) q^{27} +(4.20477 - 0.741415i) q^{28} +(1.17349 + 6.65518i) q^{29} +(3.63338 + 1.34110i) q^{30} +(6.25425 - 3.61089i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(-1.80301 - 4.36637i) q^{33} +(2.51226 - 6.90237i) q^{34} +(5.15732 - 8.03437i) q^{35} +(-0.268009 + 2.98800i) q^{36} -7.30610 q^{37} +(0.0311996 - 4.35879i) q^{38} +(-6.20856 + 0.264264i) q^{39} +(-2.23359 - 0.105206i) q^{40} +(-4.84829 - 4.06820i) q^{41} +(7.05052 + 2.23151i) q^{42} +(0.172212 + 0.473148i) q^{43} +(1.75314 + 2.08931i) q^{44} +(4.50412 + 4.97121i) q^{45} +(0.465360 + 0.268675i) q^{46} +(-0.399001 - 2.26285i) q^{47} +(-0.373033 - 1.69140i) q^{48} +(5.61490 - 9.72530i) q^{49} +(-3.55973 + 3.51117i) q^{50} +(9.38942 - 8.58494i) q^{51} +(3.37139 - 1.22709i) q^{52} +(0.105929 - 0.291038i) q^{53} +(-2.80627 + 4.37320i) q^{54} +(6.09189 + 0.286938i) q^{55} -4.26964 q^{56} +(3.54127 - 6.66779i) q^{57} -6.75785i q^{58} +(1.70470 - 9.66782i) q^{59} +(-3.34530 - 1.95166i) q^{60} +(1.45796 + 0.530655i) q^{61} +(-6.78625 + 2.46999i) q^{62} +(9.03742 + 9.07708i) q^{63} +(0.500000 + 0.866025i) q^{64} +(3.09550 - 7.40122i) q^{65} +(1.01741 + 4.61313i) q^{66} +(-0.976649 - 5.53885i) q^{67} +(-3.67267 + 6.36126i) q^{68} +(0.499216 + 0.785507i) q^{69} +(-6.47413 + 7.01675i) q^{70} +(2.79006 - 1.01550i) q^{71} +(0.782799 - 2.89607i) q^{72} +(-8.13201 + 9.69135i) q^{73} +(7.19510 + 1.26869i) q^{74} +(-8.27990 + 2.53835i) q^{75} +(-0.787621 + 4.28715i) q^{76} +11.6450 q^{77} +(6.16013 + 0.817857i) q^{78} +(-9.01228 + 10.7404i) q^{79} +(2.18139 + 0.491467i) q^{80} +(-7.81386 + 4.46583i) q^{81} +(4.06820 + 4.84829i) q^{82} +(-7.26919 - 12.5906i) q^{83} +(-6.55591 - 3.42191i) q^{84} +(4.88519 + 15.6814i) q^{85} +(-0.0874343 - 0.495865i) q^{86} +(5.41610 - 10.3765i) q^{87} +(-1.36370 - 2.36199i) q^{88} +(-7.27212 + 6.10204i) q^{89} +(-3.57245 - 5.67782i) q^{90} +(5.23922 - 14.3946i) q^{91} +(-0.411635 - 0.345403i) q^{92} +(-12.3997 - 1.64626i) q^{93} +2.29776i q^{94} +(5.85124 + 7.79506i) q^{95} +(0.0736570 + 1.73048i) q^{96} +(0.308725 - 1.75087i) q^{97} +(-7.21838 + 8.60253i) q^{98} +(-2.13500 + 7.89873i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 30 q^{15} + 48 q^{19} + 12 q^{25} - 48 q^{39} + 36 q^{45} - 72 q^{46} + 216 q^{49} - 180 q^{51} + 36 q^{54} + 60 q^{55} + 6 q^{60} - 72 q^{61} + 120 q^{64} - 156 q^{66} + 48 q^{79} - 120 q^{81} - 108 q^{84} - 48 q^{85} - 36 q^{90} - 24 q^{91} - 216 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{18}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 0.173648i −0.696364 0.122788i
\(3\) −1.37297 1.05591i −0.792687 0.609629i
\(4\) 0.939693 + 0.342020i 0.469846 + 0.171010i
\(5\) 1.98695 1.02568i 0.888591 0.458700i
\(6\) 1.16876 + 1.27828i 0.477144 + 0.521856i
\(7\) 3.69762 2.13482i 1.39757 0.806886i 0.403430 0.915011i \(-0.367818\pi\)
0.994137 + 0.108125i \(0.0344846\pi\)
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) 0.770112 + 2.89947i 0.256704 + 0.966490i
\(10\) −2.13487 + 0.665072i −0.675106 + 0.210314i
\(11\) 2.36199 + 1.36370i 0.712168 + 0.411171i 0.811863 0.583848i \(-0.198453\pi\)
−0.0996951 + 0.995018i \(0.531787\pi\)
\(12\) −0.929031 1.46181i −0.268188 0.421990i
\(13\) 2.74838 2.30617i 0.762265 0.639616i −0.176451 0.984310i \(-0.556462\pi\)
0.938715 + 0.344693i \(0.112017\pi\)
\(14\) −4.01215 + 1.46030i −1.07229 + 0.390282i
\(15\) −3.81106 0.689801i −0.984011 0.178106i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) −1.27551 + 7.23376i −0.309356 + 1.75444i 0.292903 + 0.956142i \(0.405379\pi\)
−0.602258 + 0.798301i \(0.705732\pi\)
\(18\) −0.254925 2.98915i −0.0600863 0.704549i
\(19\) 0.726170 + 4.29799i 0.166595 + 0.986025i
\(20\) 2.21793 0.284252i 0.495944 0.0635606i
\(21\) −7.33090 0.973296i −1.59973 0.212391i
\(22\) −2.08931 1.75314i −0.445442 0.373770i
\(23\) −0.504945 0.183785i −0.105288 0.0383218i 0.288839 0.957378i \(-0.406731\pi\)
−0.394127 + 0.919056i \(0.628953\pi\)
\(24\) 0.661075 + 1.60093i 0.134941 + 0.326789i
\(25\) 2.89594 4.07597i 0.579188 0.815194i
\(26\) −3.10709 + 1.79388i −0.609351 + 0.351809i
\(27\) 2.00423 4.79406i 0.385715 0.922618i
\(28\) 4.20477 0.741415i 0.794627 0.140114i
\(29\) 1.17349 + 6.65518i 0.217911 + 1.23584i 0.875782 + 0.482706i \(0.160346\pi\)
−0.657871 + 0.753131i \(0.728543\pi\)
\(30\) 3.63338 + 1.34110i 0.663361 + 0.244851i
\(31\) 6.25425 3.61089i 1.12330 0.648535i 0.181055 0.983473i \(-0.442049\pi\)
0.942240 + 0.334938i \(0.108715\pi\)
\(32\) −0.642788 0.766044i −0.113630 0.135419i
\(33\) −1.80301 4.36637i −0.313865 0.760088i
\(34\) 2.51226 6.90237i 0.430849 1.18375i
\(35\) 5.15732 8.03437i 0.871747 1.35806i
\(36\) −0.268009 + 2.98800i −0.0446681 + 0.498001i
\(37\) −7.30610 −1.20112 −0.600558 0.799581i \(-0.705055\pi\)
−0.600558 + 0.799581i \(0.705055\pi\)
\(38\) 0.0311996 4.35879i 0.00506125 0.707089i
\(39\) −6.20856 + 0.264264i −0.994166 + 0.0423161i
\(40\) −2.23359 0.105206i −0.353162 0.0166345i
\(41\) −4.84829 4.06820i −0.757175 0.635346i 0.180215 0.983627i \(-0.442321\pi\)
−0.937390 + 0.348282i \(0.886765\pi\)
\(42\) 7.05052 + 2.23151i 1.08792 + 0.344329i
\(43\) 0.172212 + 0.473148i 0.0262621 + 0.0721545i 0.952131 0.305691i \(-0.0988874\pi\)
−0.925869 + 0.377845i \(0.876665\pi\)
\(44\) 1.75314 + 2.08931i 0.264295 + 0.314975i
\(45\) 4.50412 + 4.97121i 0.671434 + 0.741064i
\(46\) 0.465360 + 0.268675i 0.0686135 + 0.0396140i
\(47\) −0.399001 2.26285i −0.0582003 0.330070i 0.941781 0.336228i \(-0.109151\pi\)
−0.999981 + 0.00615731i \(0.998040\pi\)
\(48\) −0.373033 1.69140i −0.0538427 0.244133i
\(49\) 5.61490 9.72530i 0.802129 1.38933i
\(50\) −3.55973 + 3.51117i −0.503422 + 0.496555i
\(51\) 9.38942 8.58494i 1.31478 1.20213i
\(52\) 3.37139 1.22709i 0.467528 0.170166i
\(53\) 0.105929 0.291038i 0.0145505 0.0399771i −0.932205 0.361931i \(-0.882117\pi\)
0.946755 + 0.321954i \(0.104340\pi\)
\(54\) −2.80627 + 4.37320i −0.381884 + 0.595117i
\(55\) 6.09189 + 0.286938i 0.821430 + 0.0386907i
\(56\) −4.26964 −0.570554
\(57\) 3.54127 6.66779i 0.469053 0.883170i
\(58\) 6.75785i 0.887349i
\(59\) 1.70470 9.66782i 0.221933 1.25864i −0.646530 0.762888i \(-0.723781\pi\)
0.868463 0.495754i \(-0.165108\pi\)
\(60\) −3.34530 1.95166i −0.431876 0.251958i
\(61\) 1.45796 + 0.530655i 0.186673 + 0.0679435i 0.433665 0.901074i \(-0.357220\pi\)
−0.246992 + 0.969017i \(0.579442\pi\)
\(62\) −6.78625 + 2.46999i −0.861855 + 0.313690i
\(63\) 9.03742 + 9.07708i 1.13861 + 1.14360i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) 3.09550 7.40122i 0.383950 0.918008i
\(66\) 1.01741 + 4.61313i 0.125235 + 0.567837i
\(67\) −0.976649 5.53885i −0.119317 0.676679i −0.984522 0.175261i \(-0.943923\pi\)
0.865205 0.501418i \(-0.167188\pi\)
\(68\) −3.67267 + 6.36126i −0.445377 + 0.771416i
\(69\) 0.499216 + 0.785507i 0.0600985 + 0.0945640i
\(70\) −6.47413 + 7.01675i −0.773806 + 0.838662i
\(71\) 2.79006 1.01550i 0.331119 0.120517i −0.171111 0.985252i \(-0.554736\pi\)
0.502229 + 0.864734i \(0.332513\pi\)
\(72\) 0.782799 2.89607i 0.0922537 0.341305i
\(73\) −8.13201 + 9.69135i −0.951780 + 1.13429i 0.0390588 + 0.999237i \(0.487564\pi\)
−0.990839 + 0.135050i \(0.956880\pi\)
\(74\) 7.19510 + 1.26869i 0.836414 + 0.147482i
\(75\) −8.27990 + 2.53835i −0.956081 + 0.293103i
\(76\) −0.787621 + 4.28715i −0.0903463 + 0.491770i
\(77\) 11.6450 1.32707
\(78\) 6.16013 + 0.817857i 0.697497 + 0.0926040i
\(79\) −9.01228 + 10.7404i −1.01396 + 1.20839i −0.0360534 + 0.999350i \(0.511479\pi\)
−0.977907 + 0.209041i \(0.932966\pi\)
\(80\) 2.18139 + 0.491467i 0.243887 + 0.0549476i
\(81\) −7.81386 + 4.46583i −0.868206 + 0.496204i
\(82\) 4.06820 + 4.84829i 0.449257 + 0.535404i
\(83\) −7.26919 12.5906i −0.797897 1.38200i −0.920983 0.389602i \(-0.872612\pi\)
0.123086 0.992396i \(-0.460721\pi\)
\(84\) −6.55591 3.42191i −0.715308 0.373362i
\(85\) 4.88519 + 15.6814i 0.529873 + 1.70088i
\(86\) −0.0874343 0.495865i −0.00942828 0.0534704i
\(87\) 5.41610 10.3765i 0.580667 1.11248i
\(88\) −1.36370 2.36199i −0.145371 0.251789i
\(89\) −7.27212 + 6.10204i −0.770844 + 0.646815i −0.940925 0.338615i \(-0.890041\pi\)
0.170081 + 0.985430i \(0.445597\pi\)
\(90\) −3.57245 5.67782i −0.376569 0.598495i
\(91\) 5.23922 14.3946i 0.549219 1.50897i
\(92\) −0.411635 0.345403i −0.0429159 0.0360107i
\(93\) −12.3997 1.64626i −1.28579 0.170709i
\(94\) 2.29776i 0.236995i
\(95\) 5.85124 + 7.79506i 0.600325 + 0.799756i
\(96\) 0.0736570 + 1.73048i 0.00751759 + 0.176617i
\(97\) 0.308725 1.75087i 0.0313463 0.177773i −0.965115 0.261826i \(-0.915675\pi\)
0.996461 + 0.0840527i \(0.0267864\pi\)
\(98\) −7.21838 + 8.60253i −0.729167 + 0.868987i
\(99\) −2.13500 + 7.89873i −0.214576 + 0.793853i
\(100\) 4.11536 2.83969i 0.411536 0.283969i
\(101\) −10.3332 12.3147i −1.02820 1.22536i −0.973934 0.226830i \(-0.927164\pi\)
−0.0542615 0.998527i \(-0.517280\pi\)
\(102\) −10.7375 + 6.82405i −1.06317 + 0.675682i
\(103\) −4.58536 + 7.94208i −0.451809 + 0.782556i −0.998498 0.0547792i \(-0.982554\pi\)
0.546689 + 0.837335i \(0.315888\pi\)
\(104\) −3.53326 + 0.623008i −0.346464 + 0.0610910i
\(105\) −15.5644 + 5.58531i −1.51893 + 0.545070i
\(106\) −0.154858 + 0.268222i −0.0150411 + 0.0260520i
\(107\) 4.50190 2.59917i 0.435215 0.251272i −0.266351 0.963876i \(-0.585818\pi\)
0.701566 + 0.712605i \(0.252485\pi\)
\(108\) 3.52303 3.81946i 0.339004 0.367528i
\(109\) 0.493837 + 1.35681i 0.0473010 + 0.129958i 0.961094 0.276222i \(-0.0890826\pi\)
−0.913793 + 0.406181i \(0.866860\pi\)
\(110\) −5.94951 1.34042i −0.567264 0.127804i
\(111\) 10.0311 + 7.71458i 0.952108 + 0.732235i
\(112\) 4.20477 + 0.741415i 0.397314 + 0.0700571i
\(113\) 8.31139i 0.781870i 0.920418 + 0.390935i \(0.127848\pi\)
−0.920418 + 0.390935i \(0.872152\pi\)
\(114\) −4.64532 + 5.95156i −0.435074 + 0.557414i
\(115\) −1.19181 + 0.152743i −0.111136 + 0.0142433i
\(116\) −1.17349 + 6.65518i −0.108956 + 0.617918i
\(117\) 8.80323 + 6.19285i 0.813859 + 0.572529i
\(118\) −3.35760 + 9.22492i −0.309092 + 0.849223i
\(119\) 10.7264 + 29.4706i 0.983290 + 2.70157i
\(120\) 2.95557 + 2.50291i 0.269806 + 0.228484i
\(121\) −1.78065 3.08418i −0.161878 0.280380i
\(122\) −1.34367 0.775766i −0.121650 0.0702346i
\(123\) 2.36092 + 10.7049i 0.212877 + 0.965226i
\(124\) 7.11207 1.25405i 0.638682 0.112617i
\(125\) 1.57343 11.0691i 0.140732 0.990048i
\(126\) −7.32391 10.5085i −0.652465 0.936172i
\(127\) −3.89943 + 3.27201i −0.346018 + 0.290344i −0.799189 0.601080i \(-0.794737\pi\)
0.453171 + 0.891424i \(0.350293\pi\)
\(128\) −0.342020 0.939693i −0.0302306 0.0830579i
\(129\) 0.263159 0.831460i 0.0231699 0.0732060i
\(130\) −4.33368 + 6.75125i −0.380089 + 0.592124i
\(131\) 8.06344 + 1.42180i 0.704506 + 0.124223i 0.514413 0.857543i \(-0.328010\pi\)
0.190093 + 0.981766i \(0.439121\pi\)
\(132\) −0.200892 4.71972i −0.0174854 0.410799i
\(133\) 11.8605 + 14.3421i 1.02844 + 1.24361i
\(134\) 5.62430i 0.485865i
\(135\) −0.934886 11.5813i −0.0804622 0.996758i
\(136\) 4.72150 5.62686i 0.404865 0.482500i
\(137\) −18.6166 6.77588i −1.59052 0.578902i −0.613064 0.790034i \(-0.710063\pi\)
−0.977458 + 0.211131i \(0.932285\pi\)
\(138\) −0.355229 0.860262i −0.0302391 0.0732303i
\(139\) 4.71577 3.95700i 0.399986 0.335628i −0.420502 0.907292i \(-0.638146\pi\)
0.820488 + 0.571663i \(0.193702\pi\)
\(140\) 7.59422 5.78593i 0.641828 0.489000i
\(141\) −1.84154 + 3.52814i −0.155086 + 0.297123i
\(142\) −2.92401 + 0.515582i −0.245377 + 0.0432666i
\(143\) 9.63659 1.69919i 0.805852 0.142093i
\(144\) −1.27380 + 2.71614i −0.106150 + 0.226345i
\(145\) 9.15778 + 12.0199i 0.760513 + 0.998197i
\(146\) 9.69135 8.13201i 0.802062 0.673010i
\(147\) −17.9781 + 7.42375i −1.48281 + 0.612301i
\(148\) −6.86549 2.49883i −0.564340 0.205403i
\(149\) −11.3740 + 13.5550i −0.931792 + 1.11047i 0.0618727 + 0.998084i \(0.480293\pi\)
−0.993665 + 0.112383i \(0.964152\pi\)
\(150\) 8.59489 1.06199i 0.701770 0.0867114i
\(151\) 9.98470i 0.812544i −0.913752 0.406272i \(-0.866829\pi\)
0.913752 0.406272i \(-0.133171\pi\)
\(152\) 1.52011 4.08525i 0.123297 0.331357i
\(153\) −21.9563 + 1.87251i −1.77507 + 0.151383i
\(154\) −11.4681 2.02213i −0.924124 0.162948i
\(155\) 8.72324 13.5895i 0.700667 1.09154i
\(156\) −5.92453 1.87513i −0.474342 0.150130i
\(157\) −2.26812 6.23161i −0.181016 0.497336i 0.815686 0.578496i \(-0.196360\pi\)
−0.996701 + 0.0811593i \(0.974138\pi\)
\(158\) 10.7404 9.01228i 0.854461 0.716978i
\(159\) −0.452747 + 0.287736i −0.0359052 + 0.0228189i
\(160\) −2.06291 0.862794i −0.163087 0.0682099i
\(161\) −2.25944 + 0.398400i −0.178069 + 0.0313983i
\(162\) 8.47063 3.04113i 0.665515 0.238933i
\(163\) 2.94967 + 1.70300i 0.231036 + 0.133389i 0.611050 0.791592i \(-0.290747\pi\)
−0.380014 + 0.924981i \(0.624081\pi\)
\(164\) −3.16450 5.48107i −0.247106 0.427999i
\(165\) −8.06102 6.82644i −0.627550 0.531438i
\(166\) 4.97242 + 13.6616i 0.385935 + 1.06035i
\(167\) −4.22405 + 11.6055i −0.326867 + 0.898059i 0.662033 + 0.749475i \(0.269694\pi\)
−0.988900 + 0.148584i \(0.952528\pi\)
\(168\) 5.86210 + 4.50835i 0.452271 + 0.347827i
\(169\) −0.0222211 + 0.126022i −0.00170931 + 0.00969400i
\(170\) −2.08793 16.2914i −0.160137 1.24950i
\(171\) −11.9026 + 5.41544i −0.910218 + 0.414129i
\(172\) 0.503514i 0.0383926i
\(173\) 16.0897 + 2.83705i 1.22328 + 0.215697i 0.747737 0.663995i \(-0.231140\pi\)
0.475543 + 0.879692i \(0.342252\pi\)
\(174\) −7.13568 + 9.27835i −0.540954 + 0.703390i
\(175\) 2.00662 21.2537i 0.151686 1.60663i
\(176\) 0.932825 + 2.56291i 0.0703143 + 0.193187i
\(177\) −12.5488 + 11.4737i −0.943229 + 0.862413i
\(178\) 8.22125 4.74654i 0.616209 0.355768i
\(179\) 5.85709 10.1448i 0.437779 0.758256i −0.559739 0.828669i \(-0.689099\pi\)
0.997518 + 0.0704134i \(0.0224318\pi\)
\(180\) 2.53223 + 6.21191i 0.188741 + 0.463008i
\(181\) −9.45095 + 1.66646i −0.702484 + 0.123867i −0.513470 0.858108i \(-0.671640\pi\)
−0.189014 + 0.981974i \(0.560529\pi\)
\(182\) −7.65922 + 13.2662i −0.567739 + 0.983353i
\(183\) −1.44142 2.26805i −0.106553 0.167659i
\(184\) 0.345403 + 0.411635i 0.0254634 + 0.0303461i
\(185\) −14.5169 + 7.49376i −1.06730 + 0.550952i
\(186\) 11.9254 + 3.77443i 0.874415 + 0.276755i
\(187\) −12.8774 + 15.3467i −0.941689 + 1.12226i
\(188\) 0.399001 2.26285i 0.0291002 0.165035i
\(189\) −2.82357 22.0053i −0.205385 1.60065i
\(190\) −4.40875 8.69269i −0.319844 0.630634i
\(191\) 12.5135i 0.905446i −0.891651 0.452723i \(-0.850453\pi\)
0.891651 0.452723i \(-0.149547\pi\)
\(192\) 0.227957 1.71698i 0.0164514 0.123913i
\(193\) −9.95556 8.35371i −0.716617 0.601313i 0.209830 0.977738i \(-0.432709\pi\)
−0.926447 + 0.376425i \(0.877153\pi\)
\(194\) −0.608069 + 1.67066i −0.0436568 + 0.119946i
\(195\) −12.0651 + 6.89311i −0.863997 + 0.493626i
\(196\) 8.60253 7.21838i 0.614467 0.515599i
\(197\) 0.542222 + 0.939155i 0.0386317 + 0.0669121i 0.884695 0.466171i \(-0.154367\pi\)
−0.846063 + 0.533083i \(0.821033\pi\)
\(198\) 3.47417 7.40799i 0.246898 0.526463i
\(199\) −0.142298 0.807010i −0.0100872 0.0572074i 0.979349 0.202179i \(-0.0648022\pi\)
−0.989436 + 0.144971i \(0.953691\pi\)
\(200\) −4.54594 + 2.08192i −0.321447 + 0.147214i
\(201\) −4.50761 + 8.63595i −0.317942 + 0.609133i
\(202\) 8.03784 + 13.9219i 0.565540 + 0.979544i
\(203\) 18.5467 + 22.1031i 1.30172 + 1.55134i
\(204\) 11.7594 4.85583i 0.823322 0.339976i
\(205\) −13.8060 3.11049i −0.964252 0.217246i
\(206\) 5.89483 7.02518i 0.410712 0.489468i
\(207\) 0.144015 1.60561i 0.0100097 0.111597i
\(208\) 3.58776 0.248767
\(209\) −4.14595 + 11.1421i −0.286781 + 0.770715i
\(210\) 16.2979 2.79772i 1.12466 0.193061i
\(211\) −6.01813 1.06116i −0.414305 0.0730532i −0.0373896 0.999301i \(-0.511904\pi\)
−0.376916 + 0.926248i \(0.623015\pi\)
\(212\) 0.199082 0.237256i 0.0136730 0.0162948i
\(213\) −4.90295 1.55179i −0.335944 0.106327i
\(214\) −4.88485 + 1.77794i −0.333921 + 0.121537i
\(215\) 0.827478 + 0.763487i 0.0564335 + 0.0520694i
\(216\) −4.13275 + 3.14966i −0.281198 + 0.214307i
\(217\) 15.4172 26.7034i 1.04659 1.81274i
\(218\) −0.250728 1.42195i −0.0169814 0.0963064i
\(219\) 21.3982 4.71931i 1.44596 0.318901i
\(220\) 5.62637 + 2.35318i 0.379329 + 0.158652i
\(221\) 13.1767 + 22.8227i 0.886359 + 1.53522i
\(222\) −8.53906 9.33925i −0.573104 0.626810i
\(223\) −19.3448 + 7.04095i −1.29543 + 0.471497i −0.895505 0.445052i \(-0.853185\pi\)
−0.399922 + 0.916549i \(0.630963\pi\)
\(224\) −4.01215 1.46030i −0.268073 0.0975705i
\(225\) 14.0484 + 5.25774i 0.936557 + 0.350516i
\(226\) 1.44326 8.18512i 0.0960041 0.544466i
\(227\) 8.61703i 0.571932i 0.958240 + 0.285966i \(0.0923145\pi\)
−0.958240 + 0.285966i \(0.907686\pi\)
\(228\) 5.60822 5.05449i 0.371414 0.334742i
\(229\) 21.4830 1.41964 0.709818 0.704385i \(-0.248777\pi\)
0.709818 + 0.704385i \(0.248777\pi\)
\(230\) 1.20022 + 0.0565325i 0.0791403 + 0.00372764i
\(231\) −15.9883 12.2961i −1.05195 0.809021i
\(232\) 2.31132 6.35030i 0.151746 0.416918i
\(233\) 21.1531 7.69909i 1.38578 0.504384i 0.461858 0.886954i \(-0.347183\pi\)
0.923927 + 0.382570i \(0.124961\pi\)
\(234\) −7.59411 7.62743i −0.496443 0.498621i
\(235\) −3.11377 4.08692i −0.203120 0.266601i
\(236\) 4.90848 8.50174i 0.319515 0.553416i
\(237\) 23.7145 5.23016i 1.54042 0.339735i
\(238\) −5.44595 30.8855i −0.353009 2.00201i
\(239\) −0.228203 0.131753i −0.0147612 0.00852239i 0.492601 0.870255i \(-0.336046\pi\)
−0.507362 + 0.861733i \(0.669379\pi\)
\(240\) −2.47605 2.97812i −0.159828 0.192237i
\(241\) 9.70669 + 11.5680i 0.625263 + 0.745160i 0.981966 0.189058i \(-0.0605435\pi\)
−0.356703 + 0.934218i \(0.616099\pi\)
\(242\) 1.21804 + 3.34653i 0.0782985 + 0.215123i
\(243\) 15.4437 + 2.11925i 0.990716 + 0.135950i
\(244\) 1.18854 + 0.997306i 0.0760887 + 0.0638460i
\(245\) 1.18144 25.0828i 0.0754795 1.60248i
\(246\) −0.466174 10.9522i −0.0297222 0.698288i
\(247\) 11.9077 + 10.1378i 0.757667 + 0.645056i
\(248\) −7.22178 −0.458584
\(249\) −3.31413 + 24.9622i −0.210025 + 1.58191i
\(250\) −3.47165 + 10.6277i −0.219566 + 0.672154i
\(251\) 1.00645 2.76519i 0.0635263 0.174537i −0.903868 0.427811i \(-0.859285\pi\)
0.967395 + 0.253274i \(0.0815073\pi\)
\(252\) 5.38786 + 11.6206i 0.339403 + 0.732032i
\(253\) −0.942050 1.12269i −0.0592262 0.0705830i
\(254\) 4.40836 2.54517i 0.276605 0.159698i
\(255\) 9.85088 26.6884i 0.616886 1.67129i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) 3.19223 0.562876i 0.199126 0.0351113i −0.0731956 0.997318i \(-0.523320\pi\)
0.272321 + 0.962206i \(0.412209\pi\)
\(258\) −0.403543 + 0.773131i −0.0251235 + 0.0481331i
\(259\) −27.0151 + 15.5972i −1.67864 + 0.969163i
\(260\) 5.44019 5.89615i 0.337386 0.365664i
\(261\) −18.3928 + 8.52773i −1.13849 + 0.527853i
\(262\) −7.69404 2.80040i −0.475340 0.173009i
\(263\) −17.1316 14.3751i −1.05638 0.886406i −0.0626278 0.998037i \(-0.519948\pi\)
−0.993750 + 0.111631i \(0.964393\pi\)
\(264\) −0.621730 + 4.68290i −0.0382648 + 0.288212i
\(265\) −0.0880372 0.686927i −0.00540808 0.0421976i
\(266\) −9.18986 16.1837i −0.563466 0.992288i
\(267\) 16.4276 0.699232i 1.00535 0.0427923i
\(268\) 0.976649 5.53885i 0.0596583 0.338339i
\(269\) −3.88845 3.26280i −0.237083 0.198936i 0.516503 0.856285i \(-0.327233\pi\)
−0.753586 + 0.657349i \(0.771678\pi\)
\(270\) −1.09038 + 11.5677i −0.0663587 + 0.703986i
\(271\) 14.1878 5.16393i 0.861846 0.313686i 0.126985 0.991905i \(-0.459470\pi\)
0.734860 + 0.678218i \(0.237248\pi\)
\(272\) −5.62686 + 4.72150i −0.341179 + 0.286283i
\(273\) −22.3927 + 14.2313i −1.35527 + 0.861318i
\(274\) 17.1571 + 9.90567i 1.03650 + 0.598424i
\(275\) 12.3986 5.67823i 0.747663 0.342410i
\(276\) 0.200450 + 0.908877i 0.0120657 + 0.0547080i
\(277\) 4.63324 + 2.67500i 0.278384 + 0.160725i 0.632692 0.774404i \(-0.281950\pi\)
−0.354307 + 0.935129i \(0.615283\pi\)
\(278\) −5.33125 + 3.07800i −0.319747 + 0.184606i
\(279\) 15.2861 + 15.3532i 0.915157 + 0.919173i
\(280\) −8.48356 + 4.37930i −0.506990 + 0.261713i
\(281\) −2.16337 0.787401i −0.129056 0.0469724i 0.276685 0.960961i \(-0.410764\pi\)
−0.405741 + 0.913988i \(0.632986\pi\)
\(282\) 2.42622 3.15476i 0.144479 0.187863i
\(283\) 5.99559 + 1.05718i 0.356401 + 0.0628431i 0.348982 0.937129i \(-0.386527\pi\)
0.00741870 + 0.999972i \(0.497639\pi\)
\(284\) 2.96912 0.176185
\(285\) 0.197276 16.8808i 0.0116856 0.999932i
\(286\) −9.78525 −0.578614
\(287\) −26.6120 4.69241i −1.57085 0.276984i
\(288\) 1.72610 2.45368i 0.101712 0.144585i
\(289\) −34.7255 12.6391i −2.04268 0.743474i
\(290\) −6.93143 13.4275i −0.407027 0.788491i
\(291\) −2.27263 + 2.07791i −0.133224 + 0.121809i
\(292\) −10.9562 + 6.32558i −0.641165 + 0.370177i
\(293\) 13.1953 + 7.61833i 0.770879 + 0.445067i 0.833188 0.552990i \(-0.186513\pi\)
−0.0623090 + 0.998057i \(0.519846\pi\)
\(294\) 18.9941 4.18909i 1.10776 0.244313i
\(295\) −6.52899 20.9580i −0.380132 1.22022i
\(296\) 6.32727 + 3.65305i 0.367765 + 0.212329i
\(297\) 11.2716 8.59038i 0.654047 0.498465i
\(298\) 13.5550 11.3740i 0.785219 0.658877i
\(299\) −1.81162 + 0.659376i −0.104769 + 0.0381327i
\(300\) −8.64873 0.446628i −0.499335 0.0257861i
\(301\) 1.64686 + 1.38188i 0.0949234 + 0.0796502i
\(302\) −1.73383 + 9.83301i −0.0997705 + 0.565826i
\(303\) 1.18409 + 27.8187i 0.0680239 + 1.59814i
\(304\) −2.20641 + 3.75922i −0.126546 + 0.215606i
\(305\) 3.44119 0.441026i 0.197042 0.0252531i
\(306\) 21.9479 + 1.96862i 1.25468 + 0.112538i
\(307\) −12.4600 10.4552i −0.711132 0.596710i 0.213785 0.976881i \(-0.431421\pi\)
−0.924916 + 0.380170i \(0.875865\pi\)
\(308\) 10.9427 + 3.98282i 0.623519 + 0.226942i
\(309\) 14.6817 6.06254i 0.835212 0.344886i
\(310\) −10.9505 + 11.8683i −0.621947 + 0.674075i
\(311\) 0.387192 0.223545i 0.0219556 0.0126761i −0.488982 0.872294i \(-0.662632\pi\)
0.510938 + 0.859618i \(0.329298\pi\)
\(312\) 5.50891 + 2.87542i 0.311880 + 0.162789i
\(313\) 29.3394 5.17332i 1.65836 0.292414i 0.735493 0.677533i \(-0.236951\pi\)
0.922867 + 0.385119i \(0.125840\pi\)
\(314\) 1.15155 + 6.53079i 0.0649860 + 0.368554i
\(315\) 27.2671 + 8.76615i 1.53633 + 0.493916i
\(316\) −12.1422 + 7.01031i −0.683052 + 0.394361i
\(317\) 0.0294093 + 0.0350486i 0.00165179 + 0.00196853i 0.766870 0.641803i \(-0.221813\pi\)
−0.765218 + 0.643771i \(0.777369\pi\)
\(318\) 0.495834 0.204746i 0.0278050 0.0114816i
\(319\) −6.30389 + 17.3198i −0.352950 + 0.969722i
\(320\) 1.88174 + 1.20791i 0.105193 + 0.0675240i
\(321\) −8.92548 1.18500i −0.498172 0.0661403i
\(322\) 2.29429 0.127856
\(323\) −32.0168 0.229172i −1.78146 0.0127515i
\(324\) −8.87003 + 1.52401i −0.492779 + 0.0846675i
\(325\) −1.44071 17.8809i −0.0799164 0.991852i
\(326\) −2.60914 2.18933i −0.144507 0.121256i
\(327\) 0.754639 2.38431i 0.0417316 0.131852i
\(328\) 2.16464 + 5.94731i 0.119522 + 0.328385i
\(329\) −6.30613 7.51535i −0.347668 0.414335i
\(330\) 6.75316 + 8.12251i 0.371749 + 0.447130i
\(331\) 21.9936 + 12.6980i 1.20888 + 0.697945i 0.962514 0.271232i \(-0.0874312\pi\)
0.246363 + 0.969178i \(0.420765\pi\)
\(332\) −2.52456 14.3175i −0.138553 0.785775i
\(333\) −5.62651 21.1838i −0.308331 1.16087i
\(334\) 6.17514 10.6957i 0.337889 0.585241i
\(335\) −7.62167 10.0037i −0.416416 0.546560i
\(336\) −4.99017 5.45780i −0.272236 0.297747i
\(337\) −7.48349 + 2.72377i −0.407652 + 0.148373i −0.537703 0.843134i \(-0.680708\pi\)
0.130052 + 0.991507i \(0.458486\pi\)
\(338\) 0.0437670 0.120249i 0.00238061 0.00654067i
\(339\) 8.77607 11.4113i 0.476651 0.619778i
\(340\) −0.772774 + 16.4065i −0.0419095 + 0.889768i
\(341\) 19.6967 1.06663
\(342\) 12.6622 3.26629i 0.684693 0.176621i
\(343\) 18.0598i 0.975135i
\(344\) 0.0874343 0.495865i 0.00471414 0.0267352i
\(345\) 1.79760 + 1.04873i 0.0967795 + 0.0564615i
\(346\) −15.3526 5.58791i −0.825363 0.300408i
\(347\) −13.1930 + 4.80186i −0.708238 + 0.257777i −0.670924 0.741526i \(-0.734102\pi\)
−0.0373138 + 0.999304i \(0.511880\pi\)
\(348\) 8.63844 7.89829i 0.463069 0.423393i
\(349\) 4.42547 + 7.66513i 0.236890 + 0.410305i 0.959820 0.280616i \(-0.0905387\pi\)
−0.722930 + 0.690921i \(0.757205\pi\)
\(350\) −5.66680 + 20.5823i −0.302903 + 1.10017i
\(351\) −5.54751 17.7980i −0.296104 0.949989i
\(352\) −0.473607 2.68596i −0.0252434 0.143162i
\(353\) −1.95635 + 3.38850i −0.104126 + 0.180351i −0.913381 0.407106i \(-0.866538\pi\)
0.809255 + 0.587458i \(0.199871\pi\)
\(354\) 14.3506 9.12026i 0.762724 0.484736i
\(355\) 4.50212 4.87946i 0.238948 0.258975i
\(356\) −8.92058 + 3.24683i −0.472790 + 0.172081i
\(357\) 16.3912 51.7885i 0.867514 2.74094i
\(358\) −7.52972 + 8.97358i −0.397958 + 0.474268i
\(359\) −16.5472 2.91771i −0.873326 0.153991i −0.281018 0.959702i \(-0.590672\pi\)
−0.592308 + 0.805711i \(0.701783\pi\)
\(360\) −1.41507 6.55725i −0.0745810 0.345598i
\(361\) −17.9454 + 6.24213i −0.944492 + 0.328533i
\(362\) 9.59675 0.504394
\(363\) −0.811827 + 6.11471i −0.0426098 + 0.320939i
\(364\) 9.84651 11.7346i 0.516097 0.615061i
\(365\) −6.21762 + 27.5971i −0.325445 + 1.44450i
\(366\) 1.02568 + 2.48390i 0.0536131 + 0.129835i
\(367\) 18.1232 + 21.5984i 0.946022 + 1.12743i 0.991713 + 0.128470i \(0.0410066\pi\)
−0.0456910 + 0.998956i \(0.514549\pi\)
\(368\) −0.268675 0.465360i −0.0140057 0.0242585i
\(369\) 8.06189 17.1904i 0.419685 0.894898i
\(370\) 15.5976 4.85908i 0.810880 0.252612i
\(371\) −0.229628 1.30228i −0.0119217 0.0676113i
\(372\) −11.0888 5.78792i −0.574930 0.300090i
\(373\) 15.0975 + 26.1497i 0.781720 + 1.35398i 0.930939 + 0.365174i \(0.118991\pi\)
−0.149220 + 0.988804i \(0.547676\pi\)
\(374\) 15.3467 12.8774i 0.793558 0.665874i
\(375\) −13.8482 + 13.5361i −0.715118 + 0.699003i
\(376\) −0.785879 + 2.15918i −0.0405286 + 0.111351i
\(377\) 18.5732 + 15.5847i 0.956567 + 0.802655i
\(378\) −1.04050 + 22.1613i −0.0535175 + 1.13985i
\(379\) 12.1395i 0.623565i 0.950154 + 0.311782i \(0.100926\pi\)
−0.950154 + 0.311782i \(0.899074\pi\)
\(380\) 2.83230 + 9.32620i 0.145294 + 0.478424i
\(381\) 8.80875 0.374939i 0.451286 0.0192087i
\(382\) −2.17295 + 12.3234i −0.111178 + 0.630520i
\(383\) −3.15686 + 3.76220i −0.161308 + 0.192240i −0.840644 0.541588i \(-0.817823\pi\)
0.679336 + 0.733827i \(0.262268\pi\)
\(384\) −0.522645 + 1.65132i −0.0266711 + 0.0842683i
\(385\) 23.1380 11.9441i 1.17922 0.608728i
\(386\) 8.35371 + 9.95556i 0.425193 + 0.506725i
\(387\) −1.23926 + 0.863701i −0.0629950 + 0.0439044i
\(388\) 0.888938 1.53969i 0.0451290 0.0781657i
\(389\) 7.52897 1.32756i 0.381734 0.0673100i 0.0205114 0.999790i \(-0.493471\pi\)
0.361223 + 0.932480i \(0.382359\pi\)
\(390\) 13.0787 4.69331i 0.662268 0.237655i
\(391\) 1.97352 3.41823i 0.0998049 0.172867i
\(392\) −9.72530 + 5.61490i −0.491202 + 0.283596i
\(393\) −9.56959 10.4664i −0.482722 0.527958i
\(394\) −0.370901 1.01904i −0.0186857 0.0513387i
\(395\) −6.89066 + 30.5844i −0.346707 + 1.53887i
\(396\) −4.70777 + 6.69217i −0.236574 + 0.336294i
\(397\) 4.13373 + 0.728888i 0.207466 + 0.0365818i 0.276415 0.961038i \(-0.410854\pi\)
−0.0689492 + 0.997620i \(0.521965\pi\)
\(398\) 0.819459i 0.0410758i
\(399\) −1.14027 32.2149i −0.0570849 1.61276i
\(400\) 4.83840 1.26090i 0.241920 0.0630449i
\(401\) −4.53072 + 25.6950i −0.226253 + 1.28315i 0.634022 + 0.773315i \(0.281403\pi\)
−0.860275 + 0.509830i \(0.829708\pi\)
\(402\) 5.93875 7.72201i 0.296198 0.385139i
\(403\) 8.86175 24.3475i 0.441435 1.21283i
\(404\) −5.49820 15.1062i −0.273546 0.751561i
\(405\) −10.9452 + 16.8879i −0.543871 + 0.839169i
\(406\) −14.4268 24.9879i −0.715990 1.24013i
\(407\) −17.2570 9.96332i −0.855396 0.493863i
\(408\) −12.4239 + 2.74006i −0.615077 + 0.135653i
\(409\) −32.2370 + 5.68425i −1.59402 + 0.281068i −0.899008 0.437932i \(-0.855711\pi\)
−0.695009 + 0.719001i \(0.744600\pi\)
\(410\) 13.0561 + 5.46062i 0.644796 + 0.269681i
\(411\) 18.4053 + 28.9605i 0.907869 + 1.42852i
\(412\) −7.02518 + 5.89483i −0.346106 + 0.290417i
\(413\) −14.3357 39.3871i −0.705415 1.93811i
\(414\) −0.420638 + 1.55621i −0.0206732 + 0.0764834i
\(415\) −27.3575 17.5610i −1.34293 0.862036i
\(416\) −3.53326 0.623008i −0.173232 0.0305455i
\(417\) −10.6529 + 0.453432i −0.521673 + 0.0222047i
\(418\) 6.01776 10.2529i 0.294338 0.501485i
\(419\) 22.9364i 1.12051i −0.828319 0.560257i \(-0.810702\pi\)
0.828319 0.560257i \(-0.189298\pi\)
\(420\) −16.5361 0.0748782i −0.806877 0.00365368i
\(421\) 3.48542 4.15377i 0.169869 0.202442i −0.674393 0.738373i \(-0.735595\pi\)
0.844262 + 0.535930i \(0.180039\pi\)
\(422\) 5.74243 + 2.09008i 0.279537 + 0.101743i
\(423\) 6.25379 2.89954i 0.304069 0.140980i
\(424\) −0.237256 + 0.199082i −0.0115222 + 0.00966825i
\(425\) 25.7908 + 26.1475i 1.25104 + 1.26834i
\(426\) 4.55899 + 2.37961i 0.220884 + 0.115292i
\(427\) 6.52384 1.15033i 0.315711 0.0556683i
\(428\) 5.11937 0.902683i 0.247454 0.0436328i
\(429\) −15.0250 7.84242i −0.725412 0.378636i
\(430\) −0.682328 0.895578i −0.0329048 0.0431886i
\(431\) −26.1160 + 21.9140i −1.25797 + 1.05556i −0.262069 + 0.965049i \(0.584405\pi\)
−0.995896 + 0.0905089i \(0.971151\pi\)
\(432\) 4.61690 2.38417i 0.222131 0.114708i
\(433\) −3.74354 1.36254i −0.179903 0.0654793i 0.250498 0.968117i \(-0.419406\pi\)
−0.430401 + 0.902638i \(0.641628\pi\)
\(434\) −19.8200 + 23.6205i −0.951389 + 1.13382i
\(435\) 0.118515 26.1728i 0.00568235 1.25489i
\(436\) 1.44388i 0.0691495i
\(437\) 0.423229 2.30370i 0.0202458 0.110201i
\(438\) −21.8926 + 0.931847i −1.04607 + 0.0445254i
\(439\) 15.1957 + 2.67940i 0.725249 + 0.127881i 0.524072 0.851674i \(-0.324412\pi\)
0.201177 + 0.979555i \(0.435523\pi\)
\(440\) −5.13226 3.29444i −0.244671 0.157056i
\(441\) 32.5223 + 8.79068i 1.54868 + 0.418604i
\(442\) −9.01338 24.7641i −0.428723 1.17791i
\(443\) 23.3015 19.5523i 1.10709 0.928956i 0.109206 0.994019i \(-0.465169\pi\)
0.997881 + 0.0650628i \(0.0207248\pi\)
\(444\) 6.78759 + 10.6802i 0.322125 + 0.506858i
\(445\) −8.19058 + 19.5834i −0.388271 + 0.928340i
\(446\) 20.2736 3.57478i 0.959983 0.169271i
\(447\) 29.9290 6.60074i 1.41559 0.312204i
\(448\) 3.69762 + 2.13482i 0.174696 + 0.100861i
\(449\) −12.7888 22.1509i −0.603543 1.04537i −0.992280 0.124018i \(-0.960422\pi\)
0.388737 0.921349i \(-0.372912\pi\)
\(450\) −12.9219 7.61734i −0.609145 0.359085i
\(451\) −5.90384 16.2207i −0.278001 0.763801i
\(452\) −2.84266 + 7.81015i −0.133708 + 0.367359i
\(453\) −10.5429 + 13.7087i −0.495350 + 0.644092i
\(454\) 1.49633 8.48612i 0.0702263 0.398273i
\(455\) −4.35429 33.9752i −0.204132 1.59278i
\(456\) −6.40072 + 4.00384i −0.299741 + 0.187497i
\(457\) 5.02510i 0.235064i 0.993069 + 0.117532i \(0.0374983\pi\)
−0.993069 + 0.117532i \(0.962502\pi\)
\(458\) −21.1566 3.73048i −0.988584 0.174314i
\(459\) 32.1227 + 20.6130i 1.49936 + 0.962132i
\(460\) −1.17217 0.264090i −0.0546528 0.0123133i
\(461\) 4.00928 + 11.0154i 0.186731 + 0.513038i 0.997368 0.0725107i \(-0.0231011\pi\)
−0.810637 + 0.585549i \(0.800879\pi\)
\(462\) 13.6102 + 14.8856i 0.633203 + 0.692540i
\(463\) −28.1581 + 16.2571i −1.30862 + 0.755532i −0.981866 0.189577i \(-0.939288\pi\)
−0.326754 + 0.945109i \(0.605955\pi\)
\(464\) −3.37893 + 5.85247i −0.156863 + 0.271694i
\(465\) −26.3261 + 9.44714i −1.22084 + 0.438100i
\(466\) −22.1686 + 3.90893i −1.02694 + 0.181078i
\(467\) −16.2048 + 28.0676i −0.749871 + 1.29881i 0.198013 + 0.980199i \(0.436551\pi\)
−0.947884 + 0.318615i \(0.896782\pi\)
\(468\) 6.15425 + 8.83026i 0.284480 + 0.408179i
\(469\) −15.4357 18.3956i −0.712755 0.849429i
\(470\) 2.35677 + 4.56553i 0.108710 + 0.210592i
\(471\) −3.46594 + 10.9508i −0.159702 + 0.504584i
\(472\) −6.31022 + 7.52023i −0.290451 + 0.346147i
\(473\) −0.238468 + 1.35242i −0.0109648 + 0.0621843i
\(474\) −24.2624 + 1.03272i −1.11441 + 0.0474342i
\(475\) 19.6214 + 9.48687i 0.900292 + 0.435287i
\(476\) 31.3620i 1.43747i
\(477\) 0.925433 + 0.0830066i 0.0423726 + 0.00380061i
\(478\) 0.201857 + 0.169378i 0.00923273 + 0.00774718i
\(479\) 1.26648 3.47963i 0.0578670 0.158988i −0.907391 0.420288i \(-0.861929\pi\)
0.965258 + 0.261300i \(0.0841512\pi\)
\(480\) 1.92128 + 3.36284i 0.0876942 + 0.153492i
\(481\) −20.0800 + 16.8491i −0.915568 + 0.768253i
\(482\) −7.55047 13.0778i −0.343914 0.595677i
\(483\) 3.52282 + 1.83877i 0.160294 + 0.0836669i
\(484\) −0.618415 3.50720i −0.0281098 0.159418i
\(485\) −1.18242 3.79554i −0.0536907 0.172346i
\(486\) −14.8411 4.76883i −0.673206 0.216319i
\(487\) 13.6010 + 23.5575i 0.616318 + 1.06749i 0.990152 + 0.139999i \(0.0447098\pi\)
−0.373834 + 0.927496i \(0.621957\pi\)
\(488\) −0.997306 1.18854i −0.0451459 0.0538028i
\(489\) −2.25162 5.45276i −0.101822 0.246582i
\(490\) −5.51908 + 24.4966i −0.249326 + 1.10664i
\(491\) 25.0114 29.8074i 1.12875 1.34519i 0.197715 0.980260i \(-0.436648\pi\)
0.931034 0.364932i \(-0.118908\pi\)
\(492\) −1.44274 + 10.8668i −0.0650437 + 0.489912i
\(493\) −49.6388 −2.23562
\(494\) −9.96635 12.0516i −0.448407 0.542226i
\(495\) 3.85947 + 17.8842i 0.173470 + 0.803836i
\(496\) 7.11207 + 1.25405i 0.319341 + 0.0563085i
\(497\) 8.14865 9.71118i 0.365517 0.435606i
\(498\) 7.59842 24.0074i 0.340493 1.07580i
\(499\) −8.06784 + 2.93645i −0.361166 + 0.131454i −0.516228 0.856451i \(-0.672664\pi\)
0.155062 + 0.987905i \(0.450442\pi\)
\(500\) 5.26439 9.86338i 0.235430 0.441104i
\(501\) 18.0538 11.4738i 0.806586 0.512612i
\(502\) −1.47132 + 2.54841i −0.0656684 + 0.113741i
\(503\) −4.50040 25.5230i −0.200663 1.13802i −0.904120 0.427278i \(-0.859472\pi\)
0.703457 0.710738i \(-0.251639\pi\)
\(504\) −3.28810 12.3797i −0.146464 0.551435i
\(505\) −33.1626 13.8700i −1.47572 0.617207i
\(506\) 0.732785 + 1.26922i 0.0325762 + 0.0564237i
\(507\) 0.163577 0.149561i 0.00726469 0.00664225i
\(508\) −4.78335 + 1.74100i −0.212227 + 0.0772443i
\(509\) 25.7098 + 9.35762i 1.13957 + 0.414769i 0.841758 0.539856i \(-0.181521\pi\)
0.297811 + 0.954625i \(0.403743\pi\)
\(510\) −14.3356 + 24.5724i −0.634792 + 1.08808i
\(511\) −9.37976 + 53.1953i −0.414936 + 2.35322i
\(512\) 1.00000i 0.0441942i
\(513\) 22.0602 + 5.13286i 0.973983 + 0.226621i
\(514\) −3.24148 −0.142975
\(515\) −0.964814 + 20.4836i −0.0425148 + 0.902617i
\(516\) 0.531665 0.691311i 0.0234052 0.0304333i
\(517\) 2.14340 5.88895i 0.0942668 0.258996i
\(518\) 29.3131 10.6691i 1.28795 0.468774i
\(519\) −19.0951 20.8845i −0.838182 0.916728i
\(520\) −6.38139 + 4.86189i −0.279843 + 0.213208i
\(521\) 4.99671 8.65456i 0.218910 0.379163i −0.735565 0.677454i \(-0.763083\pi\)
0.954475 + 0.298291i \(0.0964166\pi\)
\(522\) 19.5942 5.20430i 0.857614 0.227786i
\(523\) −0.645169 3.65894i −0.0282113 0.159994i 0.967448 0.253071i \(-0.0814408\pi\)
−0.995659 + 0.0930772i \(0.970330\pi\)
\(524\) 7.09087 + 4.09392i 0.309766 + 0.178844i
\(525\) −25.1970 + 27.0619i −1.09969 + 1.18108i
\(526\) 14.3751 + 17.1316i 0.626784 + 0.746972i
\(527\) 18.1430 + 49.8474i 0.790320 + 2.17139i
\(528\) 1.42546 4.50379i 0.0620352 0.196002i
\(529\) −17.3978 14.5985i −0.756427 0.634718i
\(530\) −0.0325839 + 0.691779i −0.00141536 + 0.0300490i
\(531\) 29.3444 2.50258i 1.27344 0.108603i
\(532\) 6.23997 + 17.5337i 0.270537 + 0.760180i
\(533\) −22.7069 −0.983545
\(534\) −16.2995 2.16402i −0.705347 0.0936462i
\(535\) 6.27912 9.78196i 0.271470 0.422911i
\(536\) −1.92362 + 5.28511i −0.0830879 + 0.228282i
\(537\) −18.7536 + 7.74395i −0.809277 + 0.334176i
\(538\) 3.26280 + 3.88845i 0.140669 + 0.167643i
\(539\) 26.5248 15.3141i 1.14250 0.659624i
\(540\) 3.08252 11.2026i 0.132651 0.482083i
\(541\) −5.02569 28.5021i −0.216071 1.22540i −0.879038 0.476752i \(-0.841814\pi\)
0.662967 0.748649i \(-0.269297\pi\)
\(542\) −14.8689 + 2.62179i −0.638675 + 0.112616i
\(543\) 14.7355 + 7.69135i 0.632362 + 0.330067i
\(544\) 6.36126 3.67267i 0.272737 0.157465i
\(545\) 2.37289 + 2.18939i 0.101643 + 0.0937830i
\(546\) 24.5238 10.1266i 1.04952 0.433380i
\(547\) −26.5717 9.67132i −1.13613 0.413516i −0.295613 0.955308i \(-0.595524\pi\)
−0.840513 + 0.541792i \(0.817746\pi\)
\(548\) −15.1764 12.7345i −0.648302 0.543990i
\(549\) −0.415824 + 4.63599i −0.0177469 + 0.197859i
\(550\) −13.1962 + 3.43897i −0.562690 + 0.146638i
\(551\) −27.7517 + 9.87643i −1.18226 + 0.420750i
\(552\) −0.0395797 0.929877i −0.00168462 0.0395782i
\(553\) −10.3951 + 58.9535i −0.442044 + 2.50696i
\(554\) −4.09834 3.43891i −0.174122 0.146105i
\(555\) 27.8440 + 5.03975i 1.18191 + 0.213926i
\(556\) 5.78475 2.10548i 0.245328 0.0892920i
\(557\) −26.7687 + 22.4616i −1.13423 + 0.951728i −0.999235 0.0391191i \(-0.987545\pi\)
−0.134991 + 0.990847i \(0.543100\pi\)
\(558\) −12.3879 17.7744i −0.524420 0.752449i
\(559\) 1.56446 + 0.903244i 0.0661698 + 0.0382032i
\(560\) 9.11513 2.83962i 0.385185 0.119996i
\(561\) 33.8850 7.47323i 1.43063 0.315520i
\(562\) 1.99377 + 1.15110i 0.0841021 + 0.0485564i
\(563\) 8.03841 4.64098i 0.338778 0.195594i −0.320953 0.947095i \(-0.604003\pi\)
0.659732 + 0.751501i \(0.270670\pi\)
\(564\) −2.93718 + 2.68552i −0.123678 + 0.113081i
\(565\) 8.52487 + 16.5143i 0.358644 + 0.694763i
\(566\) −5.72092 2.08225i −0.240468 0.0875233i
\(567\) −19.3589 + 33.1941i −0.812997 + 1.39402i
\(568\) −2.92401 0.515582i −0.122689 0.0216333i
\(569\) 33.6444 1.41045 0.705223 0.708985i \(-0.250847\pi\)
0.705223 + 0.708985i \(0.250847\pi\)
\(570\) −3.12560 + 16.5901i −0.130917 + 0.694882i
\(571\) −12.1934 −0.510279 −0.255140 0.966904i \(-0.582121\pi\)
−0.255140 + 0.966904i \(0.582121\pi\)
\(572\) 9.63659 + 1.69919i 0.402926 + 0.0710467i
\(573\) −13.2131 + 17.1807i −0.551986 + 0.717735i
\(574\) 25.3928 + 9.24224i 1.05988 + 0.385764i
\(575\) −2.21139 + 1.52591i −0.0922214 + 0.0636348i
\(576\) −2.12596 + 2.11667i −0.0885816 + 0.0881947i
\(577\) −5.38776 + 3.11063i −0.224295 + 0.129497i −0.607938 0.793985i \(-0.708003\pi\)
0.383642 + 0.923482i \(0.374670\pi\)
\(578\) 32.0032 + 18.4771i 1.33116 + 0.768545i
\(579\) 4.84796 + 21.9816i 0.201475 + 0.913523i
\(580\) 4.49446 + 14.4271i 0.186622 + 0.599055i
\(581\) −53.7573 31.0368i −2.23023 1.28762i
\(582\) 2.59892 1.65170i 0.107729 0.0684652i
\(583\) 0.647092 0.542974i 0.0267998 0.0224877i
\(584\) 11.8882 4.32695i 0.491937 0.179051i
\(585\) 23.8435 + 3.27555i 0.985807 + 0.135427i
\(586\) −11.6720 9.79393i −0.482164 0.404584i
\(587\) 1.26790 7.19059i 0.0523316 0.296787i −0.947398 0.320059i \(-0.896297\pi\)
0.999729 + 0.0232718i \(0.00740830\pi\)
\(588\) −19.4330 + 0.827154i −0.801404 + 0.0341113i
\(589\) 20.0612 + 24.2585i 0.826607 + 0.999556i
\(590\) 2.79049 + 21.7733i 0.114883 + 0.896393i
\(591\) 0.247207 1.86197i 0.0101687 0.0765913i
\(592\) −5.59680 4.69627i −0.230027 0.193016i
\(593\) 8.21123 + 2.98864i 0.337195 + 0.122729i 0.505068 0.863080i \(-0.331468\pi\)
−0.167873 + 0.985809i \(0.553690\pi\)
\(594\) −12.5921 + 6.50258i −0.516660 + 0.266804i
\(595\) 51.5404 + 47.5547i 2.11295 + 1.94955i
\(596\) −15.3241 + 8.84738i −0.627700 + 0.362403i
\(597\) −0.656758 + 1.25826i −0.0268793 + 0.0514970i
\(598\) 1.89860 0.334774i 0.0776395 0.0136899i
\(599\) −7.07151 40.1045i −0.288934 1.63863i −0.690885 0.722965i \(-0.742779\pi\)
0.401951 0.915661i \(-0.368332\pi\)
\(600\) 8.43978 + 1.94168i 0.344553 + 0.0792687i
\(601\) 28.9493 16.7139i 1.18087 0.681774i 0.224653 0.974439i \(-0.427875\pi\)
0.956215 + 0.292665i \(0.0945420\pi\)
\(602\) −1.38188 1.64686i −0.0563212 0.0671210i
\(603\) 15.3076 7.09730i 0.623374 0.289024i
\(604\) 3.41497 9.38255i 0.138953 0.381771i
\(605\) −6.70147 4.30173i −0.272454 0.174890i
\(606\) 3.66457 27.6017i 0.148863 1.12124i
\(607\) −8.53702 −0.346507 −0.173254 0.984877i \(-0.555428\pi\)
−0.173254 + 0.984877i \(0.555428\pi\)
\(608\) 2.82567 3.31897i 0.114596 0.134602i
\(609\) −2.12527 49.9307i −0.0861202 2.02329i
\(610\) −3.46549 0.163230i −0.140314 0.00660900i
\(611\) −6.31512 5.29901i −0.255482 0.214375i
\(612\) −21.2726 5.74993i −0.859896 0.232427i
\(613\) 2.76433 + 7.59492i 0.111650 + 0.306756i 0.982916 0.184055i \(-0.0589226\pi\)
−0.871266 + 0.490811i \(0.836700\pi\)
\(614\) 10.4552 + 12.4600i 0.421938 + 0.502846i
\(615\) 15.6709 + 18.8485i 0.631910 + 0.760044i
\(616\) −10.0849 5.82250i −0.406331 0.234595i
\(617\) 2.93249 + 16.6310i 0.118058 + 0.669538i 0.985191 + 0.171462i \(0.0548490\pi\)
−0.867133 + 0.498076i \(0.834040\pi\)
\(618\) −15.5114 + 3.42099i −0.623960 + 0.137612i
\(619\) 0.936797 1.62258i 0.0376531 0.0652170i −0.846585 0.532254i \(-0.821345\pi\)
0.884238 + 0.467037i \(0.154678\pi\)
\(620\) 12.8451 9.78647i 0.515870 0.393034i
\(621\) −1.89310 + 2.05239i −0.0759676 + 0.0823596i
\(622\) −0.420127 + 0.152914i −0.0168456 + 0.00613129i
\(623\) −13.8628 + 38.0877i −0.555400 + 1.52595i
\(624\) −4.92590 3.78835i −0.197194 0.151655i
\(625\) −8.22705 23.6075i −0.329082 0.944301i
\(626\) −29.7920 −1.19073
\(627\) 17.4573 10.9201i 0.697178 0.436105i
\(628\) 6.63154i 0.264627i
\(629\) 9.31898 52.8505i 0.371572 2.10729i
\(630\) −25.3307 13.3679i −1.00920 0.532588i
\(631\) 3.90451 + 1.42112i 0.155436 + 0.0565741i 0.418566 0.908186i \(-0.362533\pi\)
−0.263130 + 0.964760i \(0.584755\pi\)
\(632\) 13.1751 4.79533i 0.524076 0.190748i
\(633\) 7.14225 + 7.81154i 0.283879 + 0.310481i
\(634\) −0.0228764 0.0396230i −0.000908536 0.00157363i
\(635\) −4.39192 + 10.5009i −0.174288 + 0.416715i
\(636\) −0.523855 + 0.115534i −0.0207722 + 0.00458124i
\(637\) −6.99626 39.6778i −0.277202 1.57209i
\(638\) 9.21567 15.9620i 0.364852 0.631942i
\(639\) 5.09306 + 7.30764i 0.201478 + 0.289086i
\(640\) −1.64341 1.51632i −0.0649613 0.0599377i
\(641\) 18.9800 6.90815i 0.749665 0.272856i 0.0612000 0.998126i \(-0.480507\pi\)
0.688465 + 0.725270i \(0.258285\pi\)
\(642\) 8.58411 + 2.71689i 0.338788 + 0.107227i
\(643\) −10.1753 + 12.1265i −0.401276 + 0.478222i −0.928409 0.371561i \(-0.878823\pi\)
0.527133 + 0.849783i \(0.323267\pi\)
\(644\) −2.25944 0.398400i −0.0890344 0.0156992i
\(645\) −0.329932 1.92199i −0.0129911 0.0756782i
\(646\) 31.4906 + 5.78535i 1.23898 + 0.227622i
\(647\) 23.4726 0.922803 0.461402 0.887191i \(-0.347347\pi\)
0.461402 + 0.887191i \(0.347347\pi\)
\(648\) 8.99991 + 0.0394024i 0.353550 + 0.00154787i
\(649\) 17.2105 20.5106i 0.675570 0.805113i
\(650\) −1.68615 + 17.8594i −0.0661364 + 0.700503i
\(651\) −49.3637 + 20.3839i −1.93472 + 0.798906i
\(652\) 2.18933 + 2.60914i 0.0857407 + 0.102182i
\(653\) −0.962137 1.66647i −0.0376513 0.0652140i 0.846586 0.532252i \(-0.178654\pi\)
−0.884237 + 0.467038i \(0.845321\pi\)
\(654\) −1.15720 + 2.21704i −0.0452503 + 0.0866932i
\(655\) 17.4800 5.44550i 0.682999 0.212773i
\(656\) −1.09902 6.23284i −0.0429094 0.243351i
\(657\) −34.3623 16.1151i −1.34060 0.628710i
\(658\) 4.90529 + 8.49622i 0.191228 + 0.331217i
\(659\) −7.82000 + 6.56176i −0.304624 + 0.255610i −0.782266 0.622945i \(-0.785936\pi\)
0.477642 + 0.878555i \(0.341492\pi\)
\(660\) −5.24010 9.17179i −0.203971 0.357011i
\(661\) 4.42211 12.1496i 0.172000 0.472567i −0.823501 0.567315i \(-0.807982\pi\)
0.995501 + 0.0947481i \(0.0302046\pi\)
\(662\) −19.4545 16.3242i −0.756119 0.634460i
\(663\) 6.00744 45.2483i 0.233310 1.75730i
\(664\) 14.5384i 0.564199i
\(665\) 38.2767 + 16.3318i 1.48431 + 0.633320i
\(666\) 1.86250 + 21.8390i 0.0721706 + 0.846245i
\(667\) 0.630575 3.57617i 0.0244160 0.138470i
\(668\) −7.93861 + 9.46087i −0.307154 + 0.366052i
\(669\) 33.9946 + 10.7594i 1.31431 + 0.415981i
\(670\) 5.76876 + 11.1752i 0.222867 + 0.431736i
\(671\) 2.72005 + 3.24163i 0.105006 + 0.125142i
\(672\) 3.96663 + 6.24142i 0.153016 + 0.240768i
\(673\) 22.7356 39.3792i 0.876393 1.51796i 0.0211213 0.999777i \(-0.493276\pi\)
0.855272 0.518180i \(-0.173390\pi\)
\(674\) 7.84278 1.38289i 0.302093 0.0532671i
\(675\) −13.7363 22.0525i −0.528711 0.848802i
\(676\) −0.0639830 + 0.110822i −0.00246089 + 0.00426238i
\(677\) −34.5103 + 19.9245i −1.32634 + 0.765761i −0.984731 0.174082i \(-0.944304\pi\)
−0.341606 + 0.939843i \(0.610971\pi\)
\(678\) −10.6243 + 9.71401i −0.408024 + 0.373064i
\(679\) −2.59624 7.13310i −0.0996344 0.273743i
\(680\) 3.60999 16.0231i 0.138437 0.614457i
\(681\) 9.09880 11.8310i 0.348667 0.453363i
\(682\) −19.3974 3.42029i −0.742766 0.130970i
\(683\) 11.7341i 0.448994i −0.974475 0.224497i \(-0.927926\pi\)
0.974475 0.224497i \(-0.0720738\pi\)
\(684\) −13.0370 + 1.01790i −0.498483 + 0.0389204i
\(685\) −43.9401 + 5.63141i −1.67887 + 0.215165i
\(686\) −3.13604 + 17.7854i −0.119735 + 0.679049i
\(687\) −29.4956 22.6841i −1.12533 0.865452i
\(688\) −0.172212 + 0.473148i −0.00656552 + 0.0180386i
\(689\) −0.380048 1.04417i −0.0144787 0.0397799i
\(690\) −1.58818 1.34494i −0.0604610 0.0512011i
\(691\) 0.324763 + 0.562507i 0.0123546 + 0.0213988i 0.872137 0.489262i \(-0.162734\pi\)
−0.859782 + 0.510661i \(0.829401\pi\)
\(692\) 14.1491 + 8.16897i 0.537867 + 0.310538i
\(693\) 8.96795 + 33.7643i 0.340664 + 1.28260i
\(694\) 13.8264 2.43797i 0.524843 0.0925441i
\(695\) 5.31136 12.6993i 0.201471 0.481710i
\(696\) −9.87872 + 6.27825i −0.374452 + 0.237977i
\(697\) 35.6124 29.8823i 1.34891 1.13187i
\(698\) −3.02720 8.31715i −0.114581 0.314809i
\(699\) −37.1722 11.7651i −1.40598 0.444996i
\(700\) 9.15479 19.2856i 0.346019 0.728928i
\(701\) 12.1936 + 2.15007i 0.460547 + 0.0812069i 0.399108 0.916904i \(-0.369320\pi\)
0.0614393 + 0.998111i \(0.480431\pi\)
\(702\) 2.37264 + 18.4910i 0.0895495 + 0.697896i
\(703\) −5.30547 31.4015i −0.200100 1.18433i
\(704\) 2.72740i 0.102793i
\(705\) −0.0402966 + 8.89908i −0.00151766 + 0.335159i
\(706\) 2.51503 2.99730i 0.0946545 0.112805i
\(707\) −64.4980 23.4753i −2.42570 0.882881i
\(708\) −15.7163 + 6.48975i −0.590654 + 0.243900i
\(709\) −6.19324 + 5.19675i −0.232592 + 0.195168i −0.751633 0.659581i \(-0.770734\pi\)
0.519041 + 0.854749i \(0.326289\pi\)
\(710\) −5.28103 + 4.02355i −0.198194 + 0.151001i
\(711\) −38.0820 17.8595i −1.42819 0.669784i
\(712\) 9.34886 1.64846i 0.350363 0.0617785i
\(713\) −3.82168 + 0.673865i −0.143123 + 0.0252364i
\(714\) −25.1352 + 48.1554i −0.940660 + 1.80217i
\(715\) 17.4046 13.2603i 0.650895 0.495908i
\(716\) 8.97358 7.52972i 0.335358 0.281399i
\(717\) 0.174197 + 0.421855i 0.00650551 + 0.0157545i
\(718\) 15.7891 + 5.74677i 0.589245 + 0.214468i
\(719\) −21.7724 + 25.9473i −0.811972 + 0.967671i −0.999895 0.0145132i \(-0.995380\pi\)
0.187923 + 0.982184i \(0.439825\pi\)
\(720\) 0.254921 + 6.70336i 0.00950036 + 0.249819i
\(721\) 39.1557i 1.45823i
\(722\) 18.7567 3.03112i 0.698051 0.112807i
\(723\) −1.11229 26.1319i −0.0413665 0.971857i
\(724\) −9.45095 1.66646i −0.351242 0.0619334i
\(725\) 30.5247 + 14.4899i 1.13366 + 0.538142i
\(726\) 1.86130 5.88084i 0.0690794 0.218259i
\(727\) 10.2253 + 28.0937i 0.379234 + 1.04194i 0.971675 + 0.236323i \(0.0759422\pi\)
−0.592441 + 0.805614i \(0.701836\pi\)
\(728\) −11.7346 + 9.84651i −0.434914 + 0.364936i
\(729\) −18.9661 19.2168i −0.702448 0.711735i
\(730\) 10.9154 26.0982i 0.403995 0.965937i
\(731\) −3.64230 + 0.642235i −0.134715 + 0.0237539i
\(732\) −0.578773 2.62427i −0.0213921 0.0969957i
\(733\) 42.3594 + 24.4562i 1.56458 + 0.903311i 0.996783 + 0.0801433i \(0.0255378\pi\)
0.567798 + 0.823168i \(0.307796\pi\)
\(734\) −14.0973 24.4173i −0.520342 0.901259i
\(735\) −28.1073 + 33.1905i −1.03675 + 1.22425i
\(736\) 0.183785 + 0.504945i 0.00677440 + 0.0186125i
\(737\) 5.24648 14.4146i 0.193257 0.530968i
\(738\) −10.9245 + 15.5293i −0.402136 + 0.571643i
\(739\) 2.67304 15.1596i 0.0983295 0.557654i −0.895347 0.445370i \(-0.853072\pi\)
0.993676 0.112284i \(-0.0358168\pi\)
\(740\) −16.2044 + 2.07677i −0.595685 + 0.0763436i
\(741\) −5.64427 26.4924i −0.207348 0.973223i
\(742\) 1.32237i 0.0485459i
\(743\) 23.5611 + 4.15445i 0.864372 + 0.152412i 0.588219 0.808702i \(-0.299829\pi\)
0.276153 + 0.961114i \(0.410940\pi\)
\(744\) 9.91531 + 7.62554i 0.363513 + 0.279566i
\(745\) −8.69639 + 38.5992i −0.318611 + 1.41416i
\(746\) −10.3273 28.3740i −0.378110 1.03885i
\(747\) 30.9080 30.7730i 1.13086 1.12592i
\(748\) −17.3497 + 10.0168i −0.634367 + 0.366252i
\(749\) 11.0975 19.2215i 0.405495 0.702338i
\(750\) 15.9884 10.9258i 0.583812 0.398953i
\(751\) 19.1056 3.36883i 0.697173 0.122930i 0.186181 0.982516i \(-0.440389\pi\)
0.510993 + 0.859585i \(0.329278\pi\)
\(752\) 1.14888 1.98992i 0.0418953 0.0725648i
\(753\) −4.30161 + 2.73381i −0.156759 + 0.0996257i
\(754\) −15.5847 18.5732i −0.567563 0.676395i
\(755\) −10.2412 19.8391i −0.372714 0.722019i
\(756\) 4.87296 21.6439i 0.177228 0.787182i
\(757\) 22.0963 26.3333i 0.803104 0.957101i −0.196623 0.980479i \(-0.562998\pi\)
0.999727 + 0.0233776i \(0.00744201\pi\)
\(758\) 2.10800 11.9551i 0.0765662 0.434228i
\(759\) 0.107949 + 2.53614i 0.00391832 + 0.0920562i
\(760\) −1.16979 9.67634i −0.0424329 0.350998i
\(761\) 29.7711i 1.07920i 0.841921 + 0.539601i \(0.181425\pi\)
−0.841921 + 0.539601i \(0.818575\pi\)
\(762\) −8.74003 1.16038i −0.316618 0.0420361i
\(763\) 4.72256 + 3.96269i 0.170968 + 0.143459i
\(764\) 4.27987 11.7589i 0.154840 0.425420i
\(765\) −41.7056 + 26.2409i −1.50787 + 0.948741i
\(766\) 3.76220 3.15686i 0.135934 0.114062i
\(767\) −17.6105 30.5022i −0.635877 1.10137i
\(768\) 0.801453 1.53547i 0.0289199 0.0554066i
\(769\) 2.50433 + 14.2028i 0.0903084 + 0.512164i 0.996084 + 0.0884075i \(0.0281778\pi\)
−0.905776 + 0.423757i \(0.860711\pi\)
\(770\) −24.8606 + 7.74476i −0.895913 + 0.279102i
\(771\) −4.97719 2.59789i −0.179249 0.0935607i
\(772\) −6.49803 11.2549i −0.233869 0.405073i
\(773\) 2.01490 + 2.40127i 0.0724710 + 0.0863676i 0.801062 0.598582i \(-0.204269\pi\)
−0.728591 + 0.684949i \(0.759824\pi\)
\(774\) 1.37041 0.635384i 0.0492584 0.0228384i
\(775\) 3.39405 35.9490i 0.121918 1.29133i
\(776\) −1.14280 + 1.36193i −0.0410240 + 0.0488905i
\(777\) 53.5603 + 7.11099i 1.92147 + 0.255106i
\(778\) −7.64512 −0.274091
\(779\) 13.9644 23.7921i 0.500325 0.852439i
\(780\) −13.6950 + 2.35091i −0.490361 + 0.0841762i
\(781\) 7.97493 + 1.40620i 0.285365 + 0.0503176i
\(782\) −2.53710 + 3.02360i −0.0907266 + 0.108124i
\(783\) 34.2573 + 7.71277i 1.22426 + 0.275632i
\(784\) 10.5526 3.84082i 0.376877 0.137172i
\(785\) −10.8983 10.0555i −0.388977 0.358897i
\(786\) 7.60675 + 11.9691i 0.271324 + 0.426923i
\(787\) 11.8390 20.5058i 0.422015 0.730951i −0.574122 0.818770i \(-0.694656\pi\)
0.996136 + 0.0878189i \(0.0279897\pi\)
\(788\) 0.188312 + 1.06797i 0.00670832 + 0.0380448i
\(789\) 8.34239 + 37.8260i 0.296997 + 1.34664i
\(790\) 12.0969 28.9232i 0.430389 1.02904i
\(791\) 17.7433 + 30.7323i 0.630880 + 1.09272i
\(792\) 5.79833 5.77300i 0.206035 0.205135i
\(793\) 5.23083 1.90386i 0.185752 0.0676082i
\(794\) −3.94436 1.43563i −0.139980 0.0509486i
\(795\) −0.604460 + 1.03609i −0.0214380 + 0.0367464i
\(796\) 0.142298 0.807010i 0.00504361 0.0286037i
\(797\) 6.10678i 0.216313i −0.994134 0.108157i \(-0.965505\pi\)
0.994134 0.108157i \(-0.0344948\pi\)
\(798\) −4.47111 + 31.9235i −0.158276 + 1.13008i
\(799\) 16.8778 0.597094
\(800\) −4.98385 + 0.401563i −0.176206 + 0.0141974i
\(801\) −23.2930 16.3861i −0.823019 0.578973i
\(802\) 8.92377 24.5178i 0.315109 0.865755i
\(803\) −32.4238 + 11.8013i −1.14421 + 0.416459i
\(804\) −7.18944 + 6.57344i −0.253552 + 0.231828i
\(805\) −4.08076 + 3.10907i −0.143828 + 0.109580i
\(806\) −12.9550 + 22.4387i −0.456321 + 0.790371i
\(807\) 1.89352 + 8.58559i 0.0666551 + 0.302227i
\(808\) 2.79151 + 15.8314i 0.0982050 + 0.556948i
\(809\) 32.4315 + 18.7243i 1.14023 + 0.658313i 0.946488 0.322739i \(-0.104604\pi\)
0.193743 + 0.981052i \(0.437937\pi\)
\(810\) 13.7115 14.7308i 0.481772 0.517586i
\(811\) −18.1899 21.6779i −0.638734 0.761213i 0.345436 0.938442i \(-0.387731\pi\)
−0.984170 + 0.177229i \(0.943287\pi\)
\(812\) 9.86850 + 27.1135i 0.346317 + 0.951497i
\(813\) −24.9321 7.89106i −0.874406 0.276752i
\(814\) 15.2647 + 12.8086i 0.535027 + 0.448941i
\(815\) 7.60759 + 0.358330i 0.266482 + 0.0125518i
\(816\) 12.7110 0.541036i 0.444974 0.0189401i
\(817\) −1.90853 + 1.08375i −0.0667710 + 0.0379156i
\(818\) 32.7343 1.14453
\(819\) 45.7716 + 4.10548i 1.59939 + 0.143457i
\(820\) −11.9095 7.64483i −0.415899 0.266969i
\(821\) 15.5412 42.6992i 0.542393 1.49021i −0.301375 0.953506i \(-0.597446\pi\)
0.843769 0.536707i \(-0.180332\pi\)
\(822\) −13.0968 31.7166i −0.456803 1.10624i
\(823\) −31.4264 37.4525i −1.09546 1.30551i −0.948643 0.316349i \(-0.897543\pi\)
−0.146813 0.989164i \(-0.546902\pi\)
\(824\) 7.94208 4.58536i 0.276675 0.159739i
\(825\) −23.0186 5.29573i −0.801406 0.184374i
\(826\) 7.27844 + 41.2781i 0.253249 + 1.43625i
\(827\) 45.4401 8.01231i 1.58011 0.278615i 0.686385 0.727238i \(-0.259196\pi\)
0.893721 + 0.448622i \(0.148085\pi\)
\(828\) 0.684480 1.45952i 0.0237873 0.0507219i
\(829\) 26.5879 15.3506i 0.923437 0.533147i 0.0387074 0.999251i \(-0.487676\pi\)
0.884730 + 0.466104i \(0.154343\pi\)
\(830\) 23.8925 + 22.0448i 0.829319 + 0.765186i
\(831\) −3.53675 8.56498i −0.122689 0.297116i
\(832\) 3.37139 + 1.22709i 0.116882 + 0.0425416i
\(833\) 63.1886 + 53.0215i 2.18936 + 1.83709i
\(834\) 10.5698 + 1.40331i 0.366001 + 0.0485925i
\(835\) 3.51059 + 27.3920i 0.121489 + 0.947941i
\(836\) −7.70674 + 9.05215i −0.266543 + 0.313075i
\(837\) −4.77587 37.2203i −0.165078 1.28652i
\(838\) −3.98286 + 22.5879i −0.137586 + 0.780286i
\(839\) 6.12323 + 5.13800i 0.211397 + 0.177383i 0.742338 0.670026i \(-0.233717\pi\)
−0.530941 + 0.847409i \(0.678161\pi\)
\(840\) 16.2718 + 2.94520i 0.561432 + 0.101619i
\(841\) −15.6633 + 5.70098i −0.540114 + 0.196585i
\(842\) −4.15377 + 3.48542i −0.143148 + 0.120116i
\(843\) 2.13882 + 3.36540i 0.0736649 + 0.115911i
\(844\) −5.29226 3.05549i −0.182167 0.105174i
\(845\) 0.0851066 + 0.273191i 0.00292776 + 0.00939806i
\(846\) −6.66228 + 1.76953i −0.229054 + 0.0608377i
\(847\) −13.1683 7.60275i −0.452470 0.261234i
\(848\) 0.268222 0.154858i 0.00921078 0.00531784i
\(849\) −7.11549 7.78228i −0.244203 0.267087i
\(850\) −20.8585 30.2287i −0.715441 1.03684i
\(851\) 3.68918 + 1.34275i 0.126463 + 0.0460289i
\(852\) −4.07652 3.13512i −0.139659 0.107407i
\(853\) 8.66551 + 1.52796i 0.296701 + 0.0523165i 0.320017 0.947412i \(-0.396311\pi\)
−0.0233159 + 0.999728i \(0.507422\pi\)
\(854\) −6.62448 −0.226685
\(855\) −18.0954 + 22.9686i −0.618851 + 0.785509i
\(856\) −5.19835 −0.177676
\(857\) 44.3957 + 7.82816i 1.51653 + 0.267405i 0.869068 0.494693i \(-0.164720\pi\)
0.647461 + 0.762098i \(0.275831\pi\)
\(858\) 13.4349 + 10.3323i 0.458659 + 0.352740i
\(859\) 28.4775 + 10.3650i 0.971639 + 0.353648i 0.778584 0.627540i \(-0.215938\pi\)
0.193055 + 0.981188i \(0.438160\pi\)
\(860\) 0.516447 + 1.00046i 0.0176107 + 0.0341153i
\(861\) 31.5828 + 34.5424i 1.07634 + 1.17720i
\(862\) 29.5246 17.0460i 1.00561 0.580590i
\(863\) −38.2902 22.1068i −1.30341 0.752525i −0.322424 0.946595i \(-0.604498\pi\)
−0.980988 + 0.194070i \(0.937831\pi\)
\(864\) −4.96076 + 1.54623i −0.168769 + 0.0526039i
\(865\) 34.8794 10.8659i 1.18594 0.369452i
\(866\) 3.45006 + 1.99189i 0.117238 + 0.0676873i
\(867\) 34.3315 + 54.0201i 1.16596 + 1.83462i
\(868\) 23.6205 19.8200i 0.801733 0.672733i
\(869\) −35.9336 + 13.0788i −1.21896 + 0.443667i
\(870\) −4.66157 + 25.7546i −0.158042 + 0.873162i
\(871\) −15.4577 12.9706i −0.523765 0.439491i
\(872\) 0.250728 1.42195i 0.00849071 0.0481532i
\(873\) 5.31434 0.453224i 0.179863 0.0153393i
\(874\) −0.816833 + 2.19521i −0.0276298 + 0.0742542i
\(875\) −17.8125 44.2881i −0.602173 1.49721i
\(876\) 21.7219 + 2.88393i 0.733913 + 0.0974388i
\(877\) −1.96201 1.64632i −0.0662524 0.0555923i 0.609060 0.793124i \(-0.291547\pi\)
−0.675313 + 0.737532i \(0.735991\pi\)
\(878\) −14.4995 5.27740i −0.489335 0.178104i
\(879\) −10.0726 24.3928i −0.339739 0.822750i
\(880\) 4.48222 + 4.13560i 0.151096 + 0.139411i
\(881\) −45.9433 + 26.5254i −1.54787 + 0.893663i −0.549566 + 0.835450i \(0.685207\pi\)
−0.998304 + 0.0582130i \(0.981460\pi\)
\(882\) −30.5018 14.3046i −1.02705 0.481660i
\(883\) −4.53659 + 0.799923i −0.152668 + 0.0269196i −0.249460 0.968385i \(-0.580253\pi\)
0.0967915 + 0.995305i \(0.469142\pi\)
\(884\) 4.57621 + 25.9530i 0.153915 + 0.872894i
\(885\) −13.1656 + 35.6687i −0.442556 + 1.19899i
\(886\) −26.3427 + 15.2090i −0.885000 + 0.510955i
\(887\) −30.6920 36.5773i −1.03054 1.22815i −0.973240 0.229789i \(-0.926196\pi\)
−0.0572966 0.998357i \(-0.518248\pi\)
\(888\) −4.82988 11.6966i −0.162080 0.392511i
\(889\) −7.43343 + 20.4232i −0.249309 + 0.684972i
\(890\) 11.4668 17.8636i 0.384367 0.598788i
\(891\) −24.5463 0.107466i −0.822333 0.00360025i
\(892\) −20.5864 −0.689282
\(893\) 9.43595 3.35811i 0.315762 0.112375i
\(894\) −30.6205 + 1.30334i −1.02410 + 0.0435903i
\(895\) 1.23240 26.1647i 0.0411946 0.874589i
\(896\) −3.27073 2.74447i −0.109268 0.0916863i
\(897\) 3.18355 + 1.00760i 0.106296 + 0.0336428i
\(898\) 8.74809 + 24.0352i 0.291927 + 0.802064i
\(899\) 31.3704 + 37.3858i 1.04626 + 1.24689i
\(900\) 11.4029 + 9.74548i 0.380096 + 0.324849i
\(901\) 1.97018 + 1.13749i 0.0656363 + 0.0378951i
\(902\) 2.99746 + 16.9994i 0.0998044 + 0.566019i
\(903\) −0.801956 3.63622i −0.0266874 0.121006i
\(904\) 4.15570 7.19788i 0.138216 0.239398i
\(905\) −17.0693 + 13.0049i −0.567403 + 0.432297i
\(906\) 12.7633 11.6697i 0.424031 0.387700i
\(907\) −12.6617 + 4.60846i −0.420423 + 0.153022i −0.543564 0.839368i \(-0.682926\pi\)
0.123141 + 0.992389i \(0.460703\pi\)
\(908\) −2.94720 + 8.09736i −0.0978062 + 0.268720i
\(909\) 27.7483 39.4446i 0.920353 1.30830i
\(910\) −1.61159 + 34.2151i −0.0534237 + 1.13422i
\(911\) −5.70394 −0.188980 −0.0944899 0.995526i \(-0.530122\pi\)
−0.0944899 + 0.995526i \(0.530122\pi\)
\(912\) 6.99874 2.83154i 0.231752 0.0937616i
\(913\) 39.6519i 1.31229i
\(914\) 0.872599 4.94876i 0.0288630 0.163690i
\(915\) −5.19034 3.02806i −0.171587 0.100105i
\(916\) 20.1874 + 7.34762i 0.667011 + 0.242772i
\(917\) 32.8508 11.9567i 1.08483 0.394845i
\(918\) −28.0552 25.8779i −0.925961 0.854097i
\(919\) −13.1437 22.7656i −0.433572 0.750969i 0.563606 0.826044i \(-0.309414\pi\)
−0.997178 + 0.0750748i \(0.976080\pi\)
\(920\) 1.10851 + 0.463623i 0.0365463 + 0.0152852i
\(921\) 6.06754 + 27.5114i 0.199932 + 0.906531i
\(922\) −2.03556 11.5443i −0.0670377 0.380190i
\(923\) 5.32624 9.22532i 0.175315 0.303655i
\(924\) −10.8186 17.0228i −0.355905 0.560010i
\(925\) −21.1580 + 29.7794i −0.695672 + 0.979142i
\(926\) 30.5534 11.1205i 1.00405 0.365443i
\(927\) −26.5591 7.17883i −0.872314 0.235784i
\(928\) 4.34386 5.17681i 0.142594 0.169937i
\(929\) −50.7146 8.94235i −1.66389 0.293389i −0.739024 0.673679i \(-0.764713\pi\)
−0.924867 + 0.380290i \(0.875824\pi\)
\(930\) 27.5666 4.73213i 0.903945 0.155173i
\(931\) 45.8766 + 17.0706i 1.50354 + 0.559465i
\(932\) 22.5106 0.737360
\(933\) −0.767647 0.101918i −0.0251316 0.00333663i
\(934\) 20.8325 24.8273i 0.681662 0.812373i
\(935\) −9.84588 + 43.7013i −0.321995 + 1.42918i
\(936\) −4.52740 9.76478i −0.147983 0.319172i
\(937\) 20.9514 + 24.9689i 0.684452 + 0.815698i 0.990673 0.136262i \(-0.0435090\pi\)
−0.306221 + 0.951961i \(0.599065\pi\)
\(938\) 12.0069 + 20.7965i 0.392038 + 0.679029i
\(939\) −45.7447 23.8769i −1.49282 0.779193i
\(940\) −1.52817 4.90542i −0.0498435 0.159997i
\(941\) 2.77675 + 15.7477i 0.0905195 + 0.513362i 0.996029 + 0.0890348i \(0.0283782\pi\)
−0.905509 + 0.424327i \(0.860511\pi\)
\(942\) 5.31487 10.1825i 0.173168 0.331765i
\(943\) 1.70044 + 2.94526i 0.0553741 + 0.0959107i
\(944\) 7.52023 6.31022i 0.244763 0.205380i
\(945\) −28.1808 40.8273i −0.916721 1.32811i
\(946\) 0.469690 1.29046i 0.0152709 0.0419566i
\(947\) −27.1534 22.7844i −0.882368 0.740394i 0.0842968 0.996441i \(-0.473136\pi\)
−0.966665 + 0.256046i \(0.917580\pi\)
\(948\) 24.0732 + 3.19610i 0.781860 + 0.103805i
\(949\) 45.3894i 1.47340i
\(950\) −17.6759 12.7500i −0.573483 0.413663i
\(951\) −0.00337001 0.0791743i −0.000109280 0.00256740i
\(952\) 5.44595 30.8855i 0.176504 1.00101i
\(953\) 10.7005 12.7524i 0.346624 0.413090i −0.564362 0.825527i \(-0.690878\pi\)
0.910986 + 0.412437i \(0.135322\pi\)
\(954\) −0.896959 0.242445i −0.0290401 0.00784945i
\(955\) −12.8349 24.8637i −0.415328 0.804571i
\(956\) −0.169378 0.201857i −0.00547809 0.00652853i
\(957\) 26.9432 17.1233i 0.870950 0.553517i
\(958\) −1.85147 + 3.20684i −0.0598183 + 0.103608i
\(959\) −83.3022 + 14.6884i −2.68997 + 0.474314i
\(960\) −1.30815 3.64537i −0.0422202 0.117654i
\(961\) 10.5771 18.3200i 0.341196 0.590968i
\(962\) 22.7007 13.1063i 0.731901 0.422563i
\(963\) 11.0032 + 11.0515i 0.354573 + 0.356129i
\(964\) 5.16482 + 14.1902i 0.166348 + 0.457037i
\(965\) −28.3495 6.38713i −0.912602 0.205609i
\(966\) −3.15001 2.42257i −0.101350 0.0779448i
\(967\) −38.7552 6.83359i −1.24628 0.219753i −0.488677 0.872465i \(-0.662520\pi\)
−0.757607 + 0.652711i \(0.773631\pi\)
\(968\) 3.56131i 0.114465i
\(969\) 43.7162 + 34.1215i 1.40437 + 1.09614i
\(970\) 0.505364 + 3.94320i 0.0162263 + 0.126608i
\(971\) −4.66203 + 26.4397i −0.149612 + 0.848490i 0.813936 + 0.580954i \(0.197321\pi\)
−0.963548 + 0.267536i \(0.913791\pi\)
\(972\) 13.7875 + 7.27351i 0.442235 + 0.233298i
\(973\) 8.98962 24.6988i 0.288194 0.791806i
\(974\) −9.30360 25.5614i −0.298107 0.819041i
\(975\) −16.9025 + 26.0712i −0.541313 + 0.834947i
\(976\) 0.775766 + 1.34367i 0.0248317 + 0.0430097i
\(977\) −5.95492 3.43808i −0.190515 0.109994i 0.401709 0.915768i \(-0.368416\pi\)
−0.592224 + 0.805774i \(0.701750\pi\)
\(978\) 1.27055 + 5.76091i 0.0406277 + 0.184213i
\(979\) −25.4981 + 4.49600i −0.814921 + 0.143693i
\(980\) 9.68902 23.1661i 0.309504 0.740012i
\(981\) −3.55371 + 2.47676i −0.113461 + 0.0790768i
\(982\) −29.8074 + 25.0114i −0.951194 + 0.798146i
\(983\) 1.69420 + 4.65478i 0.0540366 + 0.148464i 0.963774 0.266719i \(-0.0859396\pi\)
−0.909738 + 0.415184i \(0.863717\pi\)
\(984\) 3.30782 10.4512i 0.105449 0.333171i
\(985\) 2.04064 + 1.30991i 0.0650204 + 0.0417371i
\(986\) 48.8846 + 8.61968i 1.55680 + 0.274507i
\(987\) 0.722619 + 16.9771i 0.0230012 + 0.540386i
\(988\) 7.72220 + 13.5991i 0.245676 + 0.432646i
\(989\) 0.270564i 0.00860343i
\(990\) −0.695271 18.2827i −0.0220972 0.581063i
\(991\) 16.5125 19.6789i 0.524538 0.625120i −0.437110 0.899408i \(-0.643998\pi\)
0.961647 + 0.274289i \(0.0884423\pi\)
\(992\) −6.78625 2.46999i −0.215464 0.0784224i
\(993\) −16.7887 40.6572i −0.532772 1.29022i
\(994\) −9.71118 + 8.14865i −0.308020 + 0.258460i
\(995\) −1.11048 1.45754i −0.0352045 0.0462070i
\(996\) −11.6518 + 22.3233i −0.369202 + 0.707340i
\(997\) 20.6459 3.64043i 0.653861 0.115293i 0.163130 0.986605i \(-0.447841\pi\)
0.490731 + 0.871311i \(0.336730\pi\)
\(998\) 8.45518 1.49088i 0.267644 0.0471929i
\(999\) −14.6431 + 35.0259i −0.463288 + 1.10817i
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 570.2.bf.a.59.4 yes 240
3.2 odd 2 inner 570.2.bf.a.59.26 yes 240
5.4 even 2 inner 570.2.bf.a.59.37 yes 240
15.14 odd 2 inner 570.2.bf.a.59.15 yes 240
19.10 odd 18 inner 570.2.bf.a.29.15 yes 240
57.29 even 18 inner 570.2.bf.a.29.37 yes 240
95.29 odd 18 inner 570.2.bf.a.29.26 yes 240
285.29 even 18 inner 570.2.bf.a.29.4 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.bf.a.29.4 240 285.29 even 18 inner
570.2.bf.a.29.15 yes 240 19.10 odd 18 inner
570.2.bf.a.29.26 yes 240 95.29 odd 18 inner
570.2.bf.a.29.37 yes 240 57.29 even 18 inner
570.2.bf.a.59.4 yes 240 1.1 even 1 trivial
570.2.bf.a.59.15 yes 240 15.14 odd 2 inner
570.2.bf.a.59.26 yes 240 3.2 odd 2 inner
570.2.bf.a.59.37 yes 240 5.4 even 2 inner