Properties

Label 605.2.s.a.16.5
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [605,2,Mod(16,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), 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: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.5
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.a.416.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.96587 - 0.225563i) q^{2} +(-1.14488 - 0.831801i) q^{3} +(1.86575 + 0.433862i) q^{4} +(0.564443 - 0.825472i) q^{5} +(2.06306 + 1.89346i) q^{6} +(2.64315 + 2.71973i) q^{7} +(0.157420 + 0.0561672i) q^{8} +(-0.308203 - 0.948551i) q^{9} +O(q^{10})\) \(q+(-1.96587 - 0.225563i) q^{2} +(-1.14488 - 0.831801i) q^{3} +(1.86575 + 0.433862i) q^{4} +(0.564443 - 0.825472i) q^{5} +(2.06306 + 1.89346i) q^{6} +(2.64315 + 2.71973i) q^{7} +(0.157420 + 0.0561672i) q^{8} +(-0.308203 - 0.948551i) q^{9} +(-1.29582 + 1.49546i) q^{10} +(-2.27014 + 2.41794i) q^{11} +(-1.77517 - 2.04865i) q^{12} +(-2.88217 + 4.77954i) q^{13} +(-4.58262 - 5.94285i) q^{14} +(-1.33285 + 0.475558i) q^{15} +(-3.73479 - 1.83627i) q^{16} +(5.17233 - 4.22939i) q^{17} +(0.391930 + 1.93425i) q^{18} +(-4.44602 - 0.254233i) q^{19} +(1.41125 - 1.29524i) q^{20} +(-0.763798 - 5.31233i) q^{21} +(5.00821 - 4.24131i) q^{22} +(0.675653 - 4.69927i) q^{23} +(-0.133506 - 0.195246i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(6.74406 - 8.74586i) q^{26} +(-1.74806 + 5.37998i) q^{27} +(3.75147 + 6.22111i) q^{28} +(-2.83718 + 7.28725i) q^{29} +(2.72747 - 0.634247i) q^{30} +(-8.20214 - 3.46625i) q^{31} +(6.64671 + 4.27158i) q^{32} +(4.61028 - 0.879941i) q^{33} +(-11.1221 + 7.14776i) q^{34} +(3.73697 - 0.646708i) q^{35} +(-0.163490 - 1.90348i) q^{36} +(-0.264622 + 3.08093i) q^{37} +(8.68297 + 1.50265i) q^{38} +(7.27535 - 3.07459i) q^{39} +(0.135219 - 0.0982422i) q^{40} +(-1.38469 + 0.781972i) q^{41} +(0.303265 + 10.6156i) q^{42} +(-7.43447 + 2.18296i) q^{43} +(-5.28458 + 3.52636i) q^{44} +(-0.956966 - 0.280990i) q^{45} +(-2.38823 + 9.08576i) q^{46} +(-1.93407 + 9.54504i) q^{47} +(2.74846 + 5.20891i) q^{48} +(-0.210834 + 7.38017i) q^{49} +(0.503040 + 1.91376i) q^{50} +(-9.43969 + 0.539781i) q^{51} +(-7.45107 + 7.66697i) q^{52} +(-0.0898247 + 0.0441638i) q^{53} +(4.64999 - 10.1821i) q^{54} +(0.714580 + 3.23873i) q^{55} +(0.263323 + 0.576598i) q^{56} +(4.87867 + 3.98927i) q^{57} +(7.22128 - 13.6858i) q^{58} +(4.25687 + 2.40397i) q^{59} +(-2.69309 + 0.309003i) q^{60} +(3.54512 - 0.406765i) q^{61} +(15.3425 + 8.66431i) q^{62} +(1.76518 - 3.34539i) q^{63} +(-5.65944 - 4.62770i) q^{64} +(2.31856 + 5.07693i) q^{65} +(-9.26170 + 0.689944i) q^{66} +(0.122269 - 0.267732i) q^{67} +(11.4853 - 5.64692i) q^{68} +(-4.68240 + 4.81807i) q^{69} +(-7.49228 + 0.428424i) q^{70} +(0.563553 + 2.14398i) q^{71} +(0.00476028 - 0.166631i) q^{72} +(1.61874 + 3.06785i) q^{73} +(1.21516 - 5.99703i) q^{74} +(-0.359756 + 1.36865i) q^{75} +(-8.18487 - 2.40330i) q^{76} +(-12.5765 + 0.216803i) q^{77} +(-14.9959 + 4.40320i) q^{78} +(0.239960 + 8.39969i) q^{79} +(-3.62387 + 2.04649i) q^{80} +(4.05573 - 2.94666i) q^{81} +(2.89851 - 1.22492i) q^{82} +(-8.28762 - 1.43423i) q^{83} +(0.879762 - 10.2429i) q^{84} +(-0.571759 - 6.65687i) q^{85} +(15.1076 - 2.61448i) q^{86} +(9.30977 - 5.98302i) q^{87} +(-0.493174 + 0.253124i) q^{88} +(-0.716893 - 0.460719i) q^{89} +(1.81789 + 0.768247i) q^{90} +(-20.6171 + 4.79429i) q^{91} +(3.29944 - 8.47453i) q^{92} +(6.50720 + 10.7910i) q^{93} +(5.95515 - 18.3281i) q^{94} +(-2.71939 + 3.52657i) q^{95} +(-4.05656 - 10.4192i) q^{96} +(4.78752 + 7.00152i) q^{97} +(2.07917 - 14.4609i) q^{98} +(2.99321 + 1.40813i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880 q + 2 q^{2} + 5 q^{3} + 24 q^{4} - 22 q^{5} + 7 q^{6} + q^{7} - 4 q^{8} - 217 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 880 q + 2 q^{2} + 5 q^{3} + 24 q^{4} - 22 q^{5} + 7 q^{6} + q^{7} - 4 q^{8} - 217 q^{9} - 2 q^{10} - 3 q^{11} - 49 q^{12} + 2 q^{13} + 60 q^{14} - 16 q^{15} + 18 q^{16} + 13 q^{17} - 15 q^{19} - 19 q^{20} + 42 q^{21} - 301 q^{22} + 31 q^{23} - 409 q^{24} + 22 q^{25} - 4 q^{26} - 4 q^{27} + 6 q^{28} + 9 q^{29} + 19 q^{30} - 10 q^{31} + 94 q^{32} - 5 q^{33} + 12 q^{34} + 4 q^{35} + 35 q^{36} + 73 q^{37} - 8 q^{38} - 21 q^{39} + 4 q^{40} - 8 q^{41} - 17 q^{42} + 93 q^{43} + q^{44} + 80 q^{45} + 129 q^{46} - 178 q^{47} + 153 q^{48} - 177 q^{49} + 2 q^{50} - 12 q^{51} - 126 q^{52} - 99 q^{53} - 93 q^{54} - 7 q^{55} - 25 q^{56} + 100 q^{57} - 26 q^{58} + 25 q^{59} - 4 q^{60} - 6 q^{61} + 63 q^{62} - 25 q^{63} + 8 q^{64} - 2 q^{65} + 64 q^{66} + 47 q^{67} - 11 q^{68} + 67 q^{69} - 60 q^{70} + 18 q^{71} - 641 q^{72} - 35 q^{73} - 108 q^{74} - 5 q^{75} - 132 q^{76} - 166 q^{77} + 115 q^{78} - 103 q^{79} - 23 q^{80} - 230 q^{81} - 72 q^{82} + 149 q^{83} - 28 q^{84} - 21 q^{85} + 49 q^{86} + 6 q^{87} - 85 q^{88} + 44 q^{89} - 34 q^{90} - 135 q^{92} - 172 q^{93} + 49 q^{94} - 106 q^{95} - 115 q^{96} - 421 q^{97} - 192 q^{98} - 156 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.96587 0.225563i −1.39008 0.159497i −0.613590 0.789625i \(-0.710275\pi\)
−0.776492 + 0.630128i \(0.783003\pi\)
\(3\) −1.14488 0.831801i −0.660994 0.480241i 0.206004 0.978551i \(-0.433954\pi\)
−0.866999 + 0.498311i \(0.833954\pi\)
\(4\) 1.86575 + 0.433862i 0.932876 + 0.216931i
\(5\) 0.564443 0.825472i 0.252427 0.369162i
\(6\) 2.06306 + 1.89346i 0.842239 + 0.773000i
\(7\) 2.64315 + 2.71973i 0.999016 + 1.02796i 0.999609 + 0.0279630i \(0.00890206\pi\)
−0.000593295 1.00000i \(0.500189\pi\)
\(8\) 0.157420 + 0.0561672i 0.0556562 + 0.0198581i
\(9\) −0.308203 0.948551i −0.102734 0.316184i
\(10\) −1.29582 + 1.49546i −0.409774 + 0.472904i
\(11\) −2.27014 + 2.41794i −0.684473 + 0.729038i
\(12\) −1.77517 2.04865i −0.512447 0.591395i
\(13\) −2.88217 + 4.77954i −0.799370 + 1.32561i 0.142557 + 0.989787i \(0.454468\pi\)
−0.941926 + 0.335819i \(0.890987\pi\)
\(14\) −4.58262 5.94285i −1.22476 1.58829i
\(15\) −1.33285 + 0.475558i −0.344139 + 0.122789i
\(16\) −3.73479 1.83627i −0.933698 0.459068i
\(17\) 5.17233 4.22939i 1.25447 1.02578i 0.256226 0.966617i \(-0.417521\pi\)
0.998248 0.0591619i \(-0.0188428\pi\)
\(18\) 0.391930 + 1.93425i 0.0923788 + 0.455907i
\(19\) −4.44602 0.254233i −1.01999 0.0583250i −0.460915 0.887444i \(-0.652479\pi\)
−0.559072 + 0.829119i \(0.688842\pi\)
\(20\) 1.41125 1.29524i 0.315566 0.289624i
\(21\) −0.763798 5.31233i −0.166674 1.15925i
\(22\) 5.00821 4.24131i 1.06775 0.904251i
\(23\) 0.675653 4.69927i 0.140883 0.979865i −0.789624 0.613591i \(-0.789724\pi\)
0.930507 0.366274i \(-0.119367\pi\)
\(24\) −0.133506 0.195246i −0.0272518 0.0398545i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 6.74406 8.74586i 1.32262 1.71520i
\(27\) −1.74806 + 5.37998i −0.336415 + 1.03538i
\(28\) 3.75147 + 6.22111i 0.708961 + 1.17568i
\(29\) −2.83718 + 7.28725i −0.526852 + 1.35321i 0.377337 + 0.926076i \(0.376840\pi\)
−0.904189 + 0.427132i \(0.859524\pi\)
\(30\) 2.72747 0.634247i 0.497966 0.115797i
\(31\) −8.20214 3.46625i −1.47315 0.622558i −0.502829 0.864386i \(-0.667707\pi\)
−0.970319 + 0.241828i \(0.922253\pi\)
\(32\) 6.64671 + 4.27158i 1.17498 + 0.755117i
\(33\) 4.61028 0.879941i 0.802547 0.153178i
\(34\) −11.1221 + 7.14776i −1.90743 + 1.22583i
\(35\) 3.73697 0.646708i 0.631663 0.109314i
\(36\) −0.163490 1.90348i −0.0272483 0.317247i
\(37\) −0.264622 + 3.08093i −0.0435035 + 0.506502i 0.941856 + 0.336016i \(0.109079\pi\)
−0.985360 + 0.170487i \(0.945466\pi\)
\(38\) 8.68297 + 1.50265i 1.40856 + 0.243761i
\(39\) 7.27535 3.07459i 1.16499 0.492328i
\(40\) 0.135219 0.0982422i 0.0213800 0.0155335i
\(41\) −1.38469 + 0.781972i −0.216253 + 0.122123i −0.596053 0.802945i \(-0.703265\pi\)
0.379801 + 0.925068i \(0.375993\pi\)
\(42\) 0.303265 + 10.6156i 0.0467948 + 1.63803i
\(43\) −7.43447 + 2.18296i −1.13375 + 0.332898i −0.794179 0.607684i \(-0.792099\pi\)
−0.339568 + 0.940582i \(0.610281\pi\)
\(44\) −5.28458 + 3.52636i −0.796680 + 0.531618i
\(45\) −0.956966 0.280990i −0.142656 0.0418876i
\(46\) −2.38823 + 9.08576i −0.352125 + 1.33962i
\(47\) −1.93407 + 9.54504i −0.282114 + 1.39229i 0.548832 + 0.835933i \(0.315073\pi\)
−0.830946 + 0.556354i \(0.812200\pi\)
\(48\) 2.74846 + 5.20891i 0.396706 + 0.751841i
\(49\) −0.210834 + 7.38017i −0.0301192 + 1.05431i
\(50\) 0.503040 + 1.91376i 0.0711406 + 0.270647i
\(51\) −9.43969 + 0.539781i −1.32182 + 0.0755845i
\(52\) −7.45107 + 7.66697i −1.03328 + 1.06322i
\(53\) −0.0898247 + 0.0441638i −0.0123384 + 0.00606637i −0.447380 0.894344i \(-0.647643\pi\)
0.435041 + 0.900410i \(0.356734\pi\)
\(54\) 4.64999 10.1821i 0.632784 1.38560i
\(55\) 0.714580 + 3.23873i 0.0963539 + 0.436710i
\(56\) 0.263323 + 0.576598i 0.0351881 + 0.0770511i
\(57\) 4.87867 + 3.98927i 0.646196 + 0.528392i
\(58\) 7.22128 13.6858i 0.948200 1.79704i
\(59\) 4.25687 + 2.40397i 0.554197 + 0.312970i 0.743268 0.668994i \(-0.233275\pi\)
−0.189070 + 0.981964i \(0.560547\pi\)
\(60\) −2.69309 + 0.309003i −0.347676 + 0.0398921i
\(61\) 3.54512 0.406765i 0.453907 0.0520809i 0.115976 0.993252i \(-0.463000\pi\)
0.337930 + 0.941171i \(0.390273\pi\)
\(62\) 15.3425 + 8.66431i 1.94850 + 1.10037i
\(63\) 1.76518 3.34539i 0.222392 0.421480i
\(64\) −5.65944 4.62770i −0.707430 0.578463i
\(65\) 2.31856 + 5.07693i 0.287581 + 0.629715i
\(66\) −9.26170 + 0.689944i −1.14004 + 0.0849262i
\(67\) 0.122269 0.267732i 0.0149376 0.0327087i −0.902016 0.431702i \(-0.857913\pi\)
0.916954 + 0.398994i \(0.130640\pi\)
\(68\) 11.4853 5.64692i 1.39279 0.684790i
\(69\) −4.68240 + 4.81807i −0.563694 + 0.580028i
\(70\) −7.49228 + 0.428424i −0.895499 + 0.0512065i
\(71\) 0.563553 + 2.14398i 0.0668815 + 0.254444i 0.992183 0.124788i \(-0.0398249\pi\)
−0.925302 + 0.379231i \(0.876189\pi\)
\(72\) 0.00476028 0.166631i 0.000561004 0.0196377i
\(73\) 1.61874 + 3.06785i 0.189459 + 0.359065i 0.960749 0.277419i \(-0.0894790\pi\)
−0.771290 + 0.636484i \(0.780388\pi\)
\(74\) 1.21516 5.99703i 0.141259 0.697141i
\(75\) −0.359756 + 1.36865i −0.0415410 + 0.158038i
\(76\) −8.18487 2.40330i −0.938869 0.275677i
\(77\) −12.5765 + 0.216803i −1.43322 + 0.0247069i
\(78\) −14.9959 + 4.40320i −1.69795 + 0.498564i
\(79\) 0.239960 + 8.39969i 0.0269976 + 0.945039i 0.894356 + 0.447355i \(0.147634\pi\)
−0.867359 + 0.497683i \(0.834184\pi\)
\(80\) −3.62387 + 2.04649i −0.405161 + 0.228805i
\(81\) 4.05573 2.94666i 0.450637 0.327407i
\(82\) 2.89851 1.22492i 0.320087 0.135270i
\(83\) −8.28762 1.43423i −0.909685 0.157427i −0.303574 0.952808i \(-0.598180\pi\)
−0.606110 + 0.795381i \(0.707271\pi\)
\(84\) 0.879762 10.2429i 0.0959899 1.11759i
\(85\) −0.571759 6.65687i −0.0620159 0.722039i
\(86\) 15.1076 2.61448i 1.62910 0.281926i
\(87\) 9.30977 5.98302i 0.998112 0.641447i
\(88\) −0.493174 + 0.253124i −0.0525725 + 0.0269831i
\(89\) −0.716893 0.460719i −0.0759905 0.0488361i 0.502094 0.864813i \(-0.332563\pi\)
−0.578084 + 0.815977i \(0.696200\pi\)
\(90\) 1.81789 + 0.768247i 0.191623 + 0.0809804i
\(91\) −20.6171 + 4.79429i −2.16126 + 0.502579i
\(92\) 3.29944 8.47453i 0.343990 0.883531i
\(93\) 6.50720 + 10.7910i 0.674765 + 1.11897i
\(94\) 5.95515 18.3281i 0.614227 1.89040i
\(95\) −2.71939 + 3.52657i −0.279003 + 0.361818i
\(96\) −4.05656 10.4192i −0.414020 1.06340i
\(97\) 4.78752 + 7.00152i 0.486099 + 0.710896i 0.988073 0.153986i \(-0.0492110\pi\)
−0.501974 + 0.864882i \(0.667393\pi\)
\(98\) 2.07917 14.4609i 0.210027 1.46077i
\(99\) 2.99321 + 1.40813i 0.300829 + 0.141522i
\(100\) −0.272609 1.89604i −0.0272609 0.189604i
\(101\) 2.92615 2.68560i 0.291163 0.267227i −0.517261 0.855828i \(-0.673048\pi\)
0.808424 + 0.588601i \(0.200321\pi\)
\(102\) 18.6790 + 1.06810i 1.84950 + 0.105758i
\(103\) 2.64460 + 13.0516i 0.260580 + 1.28601i 0.869955 + 0.493131i \(0.164148\pi\)
−0.609375 + 0.792882i \(0.708580\pi\)
\(104\) −0.722163 + 0.590510i −0.0708139 + 0.0579043i
\(105\) −4.81630 2.36802i −0.470023 0.231095i
\(106\) 0.186546 0.0665593i 0.0181189 0.00646481i
\(107\) 1.63883 + 2.12527i 0.158432 + 0.205458i 0.864427 0.502759i \(-0.167682\pi\)
−0.705995 + 0.708217i \(0.749500\pi\)
\(108\) −5.59562 + 9.27930i −0.538439 + 0.892901i
\(109\) 1.79431 + 2.07074i 0.171863 + 0.198341i 0.835146 0.550028i \(-0.185383\pi\)
−0.663283 + 0.748369i \(0.730837\pi\)
\(110\) −0.674235 6.52811i −0.0642858 0.622431i
\(111\) 2.86568 3.30717i 0.271999 0.313903i
\(112\) −4.87743 15.0112i −0.460874 1.41842i
\(113\) −14.9374 5.32967i −1.40520 0.501373i −0.478801 0.877924i \(-0.658928\pi\)
−0.926396 + 0.376550i \(0.877110\pi\)
\(114\) −8.69102 8.94284i −0.813988 0.837574i
\(115\) −3.49775 3.21020i −0.326167 0.299353i
\(116\) −8.45515 + 12.3653i −0.785041 + 1.14809i
\(117\) 5.42193 + 1.26082i 0.501258 + 0.116562i
\(118\) −7.82622 5.68608i −0.720462 0.523446i
\(119\) 25.1741 + 2.88845i 2.30770 + 0.264784i
\(120\) −0.236527 −0.0215918
\(121\) −0.692915 10.9782i −0.0629922 0.998014i
\(122\) −7.06101 −0.639274
\(123\) 2.23575 + 0.256528i 0.201590 + 0.0231303i
\(124\) −13.7993 10.0258i −1.23921 0.900341i
\(125\) −0.974012 0.226497i −0.0871183 0.0202585i
\(126\) −4.22472 + 6.17845i −0.376368 + 0.550420i
\(127\) 2.65087 + 2.43295i 0.235227 + 0.215889i 0.785117 0.619348i \(-0.212603\pi\)
−0.549890 + 0.835237i \(0.685330\pi\)
\(128\) −0.931056 0.958034i −0.0822945 0.0846791i
\(129\) 10.3273 + 3.68479i 0.909271 + 0.324427i
\(130\) −3.41282 10.5036i −0.299324 0.921224i
\(131\) 6.83160 7.88409i 0.596880 0.688836i −0.374266 0.927321i \(-0.622105\pi\)
0.971146 + 0.238485i \(0.0766508\pi\)
\(132\) 8.98341 + 0.358474i 0.781906 + 0.0312012i
\(133\) −11.0600 12.7640i −0.959027 1.10678i
\(134\) −0.300756 + 0.498748i −0.0259814 + 0.0430852i
\(135\) 3.45434 + 4.47967i 0.297303 + 0.385549i
\(136\) 1.05178 0.375274i 0.0901893 0.0321795i
\(137\) 4.58921 + 2.25636i 0.392082 + 0.192774i 0.626605 0.779337i \(-0.284444\pi\)
−0.234523 + 0.972111i \(0.575353\pi\)
\(138\) 10.2918 8.41554i 0.876094 0.716378i
\(139\) −2.32246 11.4618i −0.196988 0.972176i −0.949541 0.313644i \(-0.898450\pi\)
0.752552 0.658533i \(-0.228823\pi\)
\(140\) 7.25284 + 0.414733i 0.612977 + 0.0350513i
\(141\) 10.1538 9.31912i 0.855108 0.784811i
\(142\) −0.624272 4.34191i −0.0523877 0.364365i
\(143\) −5.01373 17.8192i −0.419269 1.49011i
\(144\) −0.590725 + 4.10859i −0.0492271 + 0.342382i
\(145\) 4.41399 + 6.45525i 0.366562 + 0.536080i
\(146\) −2.49024 6.39614i −0.206094 0.529348i
\(147\) 6.38021 8.27401i 0.526231 0.682428i
\(148\) −1.83042 + 5.63345i −0.150459 + 0.463067i
\(149\) 2.59354 + 4.30090i 0.212471 + 0.352344i 0.944267 0.329180i \(-0.106772\pi\)
−0.731796 + 0.681524i \(0.761318\pi\)
\(150\) 1.01595 2.60945i 0.0829521 0.213061i
\(151\) −18.9076 + 4.39677i −1.53868 + 0.357804i −0.908244 0.418441i \(-0.862577\pi\)
−0.630432 + 0.776245i \(0.717122\pi\)
\(152\) −0.685611 0.289742i −0.0556104 0.0235012i
\(153\) −5.60593 3.60271i −0.453212 0.291262i
\(154\) 24.7727 + 2.41058i 1.99624 + 0.194250i
\(155\) −7.49094 + 4.81413i −0.601687 + 0.386681i
\(156\) 14.9080 2.57992i 1.19359 0.206559i
\(157\) 0.303475 + 3.53329i 0.0242199 + 0.281988i 0.998415 + 0.0562800i \(0.0179239\pi\)
−0.974195 + 0.225708i \(0.927531\pi\)
\(158\) 1.42293 16.5668i 0.113202 1.31799i
\(159\) 0.139574 + 0.0241542i 0.0110689 + 0.00191555i
\(160\) 7.27777 3.07561i 0.575358 0.243148i
\(161\) 14.5666 10.5833i 1.14801 0.834078i
\(162\) −8.63772 + 4.87794i −0.678643 + 0.383247i
\(163\) 0.567627 + 19.8695i 0.0444600 + 1.55630i 0.649657 + 0.760227i \(0.274913\pi\)
−0.605197 + 0.796076i \(0.706906\pi\)
\(164\) −2.92276 + 0.858200i −0.228229 + 0.0670142i
\(165\) 1.87587 4.30233i 0.146037 0.334936i
\(166\) 15.9689 + 4.68889i 1.23943 + 0.363929i
\(167\) −3.33101 + 12.6725i −0.257762 + 0.980627i 0.704765 + 0.709441i \(0.251052\pi\)
−0.962527 + 0.271186i \(0.912584\pi\)
\(168\) 0.178142 0.879165i 0.0137440 0.0678291i
\(169\) −8.47043 16.0533i −0.651572 1.23487i
\(170\) −0.377537 + 13.2155i −0.0289558 + 1.01358i
\(171\) 1.12912 + 4.29563i 0.0863463 + 0.328495i
\(172\) −14.8180 + 0.847323i −1.12986 + 0.0646078i
\(173\) 11.6834 12.0220i 0.888276 0.914015i −0.108512 0.994095i \(-0.534609\pi\)
0.996788 + 0.0800806i \(0.0255178\pi\)
\(174\) −19.6514 + 9.66192i −1.48977 + 0.732469i
\(175\) 1.57547 3.44979i 0.119094 0.260780i
\(176\) 12.9185 4.86192i 0.973769 0.366481i
\(177\) −2.87397 6.29311i −0.216021 0.473019i
\(178\) 1.30540 + 1.06742i 0.0978438 + 0.0800065i
\(179\) 7.40802 14.0398i 0.553702 1.04938i −0.435133 0.900366i \(-0.643299\pi\)
0.988835 0.149015i \(-0.0476103\pi\)
\(180\) −1.66355 0.939450i −0.123994 0.0700224i
\(181\) −25.4810 + 2.92368i −1.89399 + 0.217315i −0.981456 0.191687i \(-0.938604\pi\)
−0.912534 + 0.409002i \(0.865877\pi\)
\(182\) 41.6120 4.77453i 3.08448 0.353911i
\(183\) −4.39707 2.48314i −0.325041 0.183559i
\(184\) 0.370306 0.701807i 0.0272993 0.0517379i
\(185\) 2.39386 + 1.95745i 0.176000 + 0.143915i
\(186\) −10.3583 22.6815i −0.759506 1.66309i
\(187\) −1.51548 + 22.1077i −0.110823 + 1.61668i
\(188\) −7.74973 + 16.9696i −0.565208 + 1.23763i
\(189\) −19.2525 + 9.46582i −1.40041 + 0.688537i
\(190\) 6.14143 6.31939i 0.445546 0.458456i
\(191\) −18.5347 + 1.05985i −1.34112 + 0.0766880i −0.712855 0.701311i \(-0.752598\pi\)
−0.628265 + 0.777999i \(0.716235\pi\)
\(192\) 2.63003 + 10.0057i 0.189806 + 0.722097i
\(193\) 0.363318 12.7178i 0.0261522 0.915447i −0.875560 0.483110i \(-0.839507\pi\)
0.901712 0.432337i \(-0.142311\pi\)
\(194\) −7.83236 14.8440i −0.562331 1.06574i
\(195\) 1.56854 7.74103i 0.112325 0.554347i
\(196\) −3.59534 + 13.6781i −0.256810 + 0.977007i
\(197\) −0.231473 0.0679667i −0.0164918 0.00484242i 0.273476 0.961879i \(-0.411827\pi\)
−0.289968 + 0.957036i \(0.593645\pi\)
\(198\) −5.56665 3.44336i −0.395604 0.244709i
\(199\) −1.62720 + 0.477790i −0.115349 + 0.0338696i −0.338898 0.940823i \(-0.610054\pi\)
0.223548 + 0.974693i \(0.428236\pi\)
\(200\) −0.00477285 0.167072i −0.000337491 0.0118137i
\(201\) −0.362683 + 0.204816i −0.0255817 + 0.0144466i
\(202\) −6.35822 + 4.61951i −0.447362 + 0.325028i
\(203\) −27.3185 + 11.5449i −1.91738 + 0.810292i
\(204\) −17.8463 3.08843i −1.24949 0.216233i
\(205\) −0.136085 + 1.58440i −0.00950455 + 0.110660i
\(206\) −2.25499 26.2543i −0.157112 1.82923i
\(207\) −4.66574 + 0.807437i −0.324291 + 0.0561208i
\(208\) 19.5408 12.5581i 1.35491 0.870750i
\(209\) 10.7078 10.1731i 0.740675 0.703687i
\(210\) 8.93410 + 5.74160i 0.616511 + 0.396208i
\(211\) 23.2101 + 9.80866i 1.59785 + 0.675256i 0.992672 0.120837i \(-0.0385579\pi\)
0.605175 + 0.796093i \(0.293103\pi\)
\(212\) −0.186752 + 0.0434272i −0.0128262 + 0.00298259i
\(213\) 1.13817 2.92336i 0.0779858 0.200305i
\(214\) −2.74235 4.54767i −0.187463 0.310872i
\(215\) −2.39437 + 7.36911i −0.163295 + 0.502569i
\(216\) −0.577358 + 0.748731i −0.0392842 + 0.0509447i
\(217\) −12.2522 31.4695i −0.831732 2.13629i
\(218\) −3.06029 4.47554i −0.207269 0.303122i
\(219\) 0.698588 4.85878i 0.0472062 0.328326i
\(220\) −0.0719341 + 6.35270i −0.00484980 + 0.428299i
\(221\) 5.30703 + 36.9112i 0.356989 + 2.48292i
\(222\) −6.37954 + 5.85509i −0.428167 + 0.392968i
\(223\) 12.4421 + 0.711464i 0.833183 + 0.0476431i 0.468473 0.883478i \(-0.344804\pi\)
0.364710 + 0.931121i \(0.381168\pi\)
\(224\) 5.95067 + 29.3677i 0.397596 + 1.96221i
\(225\) −0.772102 + 0.631345i −0.0514735 + 0.0420897i
\(226\) 28.1629 + 13.8468i 1.87337 + 0.921075i
\(227\) −21.6727 + 7.73281i −1.43847 + 0.513245i −0.936200 0.351467i \(-0.885683\pi\)
−0.502269 + 0.864712i \(0.667501\pi\)
\(228\) 7.37160 + 9.55966i 0.488196 + 0.633104i
\(229\) −12.4456 + 20.6387i −0.822429 + 1.36385i 0.106777 + 0.994283i \(0.465947\pi\)
−0.929206 + 0.369562i \(0.879508\pi\)
\(230\) 6.15202 + 7.09981i 0.405652 + 0.468148i
\(231\) 14.5789 + 10.2129i 0.959218 + 0.671961i
\(232\) −0.855933 + 0.987799i −0.0561947 + 0.0648522i
\(233\) −6.50456 20.0190i −0.426128 1.31149i −0.901910 0.431924i \(-0.857835\pi\)
0.475782 0.879563i \(-0.342165\pi\)
\(234\) −10.3744 3.70159i −0.678198 0.241981i
\(235\) 6.78748 + 6.98416i 0.442767 + 0.455596i
\(236\) 6.89928 + 6.33210i 0.449105 + 0.412185i
\(237\) 6.71214 9.81620i 0.436001 0.637631i
\(238\) −48.8375 11.3567i −3.16566 0.736143i
\(239\) 7.05713 + 5.12731i 0.456488 + 0.331658i 0.792152 0.610324i \(-0.208961\pi\)
−0.335664 + 0.941982i \(0.608961\pi\)
\(240\) 5.85116 + 0.671358i 0.377691 + 0.0433360i
\(241\) 6.92791 0.446266 0.223133 0.974788i \(-0.428372\pi\)
0.223133 + 0.974788i \(0.428372\pi\)
\(242\) −1.11408 + 21.7379i −0.0716159 + 1.39737i
\(243\) 9.87620 0.633559
\(244\) 6.79080 + 0.779172i 0.434737 + 0.0498814i
\(245\) 5.97312 + 4.33972i 0.381608 + 0.277255i
\(246\) −4.33733 1.00860i −0.276538 0.0643061i
\(247\) 14.0293 20.5172i 0.892663 1.30548i
\(248\) −1.09649 1.00635i −0.0696271 0.0639031i
\(249\) 8.29531 + 8.53567i 0.525694 + 0.540926i
\(250\) 1.86369 + 0.664965i 0.117870 + 0.0420561i
\(251\) −8.03155 24.7186i −0.506947 1.56022i −0.797473 0.603355i \(-0.793830\pi\)
0.290526 0.956867i \(-0.406170\pi\)
\(252\) 4.74483 5.47583i 0.298896 0.344945i
\(253\) 9.82874 + 12.3017i 0.617928 + 0.773401i
\(254\) −4.66250 5.38081i −0.292551 0.337622i
\(255\) −4.88260 + 8.09688i −0.305760 + 0.507046i
\(256\) 10.5426 + 13.6719i 0.658916 + 0.854497i
\(257\) 14.1109 5.03475i 0.880212 0.314059i 0.143002 0.989722i \(-0.454325\pi\)
0.737210 + 0.675663i \(0.236143\pi\)
\(258\) −19.4711 9.57329i −1.21222 0.596007i
\(259\) −9.07875 + 7.42366i −0.564126 + 0.461284i
\(260\) 2.12316 + 10.4782i 0.131673 + 0.649832i
\(261\) 7.78676 + 0.445263i 0.481988 + 0.0275611i
\(262\) −15.2084 + 13.9582i −0.939579 + 0.862338i
\(263\) 2.53249 + 17.6138i 0.156160 + 1.08612i 0.905627 + 0.424074i \(0.139400\pi\)
−0.749468 + 0.662041i \(0.769691\pi\)
\(264\) 0.775172 + 0.120427i 0.0477085 + 0.00741174i
\(265\) −0.0142449 + 0.0990757i −0.000875059 + 0.00608617i
\(266\) 18.8636 + 27.5871i 1.15660 + 1.69147i
\(267\) 0.437527 + 1.12378i 0.0267762 + 0.0687741i
\(268\) 0.344283 0.446474i 0.0210304 0.0272727i
\(269\) 2.19190 6.74597i 0.133642 0.411309i −0.861734 0.507360i \(-0.830621\pi\)
0.995376 + 0.0960513i \(0.0306213\pi\)
\(270\) −5.78035 9.58564i −0.351781 0.583363i
\(271\) −9.15354 + 23.5107i −0.556038 + 1.42817i 0.320690 + 0.947184i \(0.396085\pi\)
−0.876727 + 0.480987i \(0.840278\pi\)
\(272\) −27.0839 + 6.29809i −1.64220 + 0.381878i
\(273\) 27.5919 + 11.6604i 1.66994 + 0.705721i
\(274\) −8.51284 5.47087i −0.514280 0.330507i
\(275\) 3.07682 + 1.23821i 0.185539 + 0.0746671i
\(276\) −10.8266 + 6.95781i −0.651683 + 0.418811i
\(277\) 8.33417 1.44228i 0.500752 0.0866585i 0.0854504 0.996342i \(-0.472767\pi\)
0.415301 + 0.909684i \(0.363676\pi\)
\(278\) 1.98031 + 23.0563i 0.118771 + 1.38282i
\(279\) −0.759995 + 8.84846i −0.0454997 + 0.529744i
\(280\) 0.624596 + 0.108091i 0.0373268 + 0.00645965i
\(281\) 3.41916 1.44495i 0.203970 0.0861985i −0.284892 0.958560i \(-0.591958\pi\)
0.488862 + 0.872361i \(0.337412\pi\)
\(282\) −22.0632 + 16.0299i −1.31385 + 0.954565i
\(283\) −24.6974 + 13.9473i −1.46811 + 0.829080i −0.998551 0.0538213i \(-0.982860\pi\)
−0.469559 + 0.882901i \(0.655587\pi\)
\(284\) 0.121260 + 4.24464i 0.00719543 + 0.251873i
\(285\) 6.04676 1.77549i 0.358179 0.105171i
\(286\) 5.83702 + 36.1611i 0.345150 + 2.13825i
\(287\) −5.78670 1.69913i −0.341578 0.100296i
\(288\) 2.00328 7.62126i 0.118044 0.449087i
\(289\) 5.48920 27.0903i 0.322894 1.59354i
\(290\) −7.22128 13.6858i −0.424048 0.803660i
\(291\) 0.342759 11.9981i 0.0200929 0.703343i
\(292\) 1.68914 + 6.42617i 0.0988496 + 0.376063i
\(293\) 19.2033 1.09808i 1.12187 0.0641506i 0.513707 0.857966i \(-0.328272\pi\)
0.608159 + 0.793815i \(0.291908\pi\)
\(294\) −14.4090 + 14.8265i −0.840349 + 0.864699i
\(295\) 4.38717 2.15703i 0.255431 0.125587i
\(296\) −0.214704 + 0.470136i −0.0124794 + 0.0273261i
\(297\) −9.04016 16.4400i −0.524563 0.953948i
\(298\) −4.12845 9.04004i −0.239154 0.523675i
\(299\) 20.5130 + 16.7734i 1.18630 + 0.970030i
\(300\) −1.26502 + 2.39748i −0.0730361 + 0.138419i
\(301\) −25.5875 14.4499i −1.47484 0.832879i
\(302\) 38.1616 4.37864i 2.19595 0.251962i
\(303\) −5.58397 + 0.640701i −0.320791 + 0.0368073i
\(304\) 16.1381 + 9.11362i 0.925585 + 0.522702i
\(305\) 1.66525 3.15600i 0.0953518 0.180712i
\(306\) 10.2079 + 8.34696i 0.583547 + 0.477164i
\(307\) 2.10328 + 4.60554i 0.120041 + 0.262852i 0.960108 0.279630i \(-0.0902118\pi\)
−0.840067 + 0.542482i \(0.817485\pi\)
\(308\) −23.5587 5.05196i −1.34238 0.287862i
\(309\) 7.82860 17.1423i 0.445354 0.975189i
\(310\) 15.8121 7.77430i 0.898068 0.441550i
\(311\) 6.68237 6.87600i 0.378923 0.389902i −0.500663 0.865642i \(-0.666911\pi\)
0.879586 + 0.475740i \(0.157820\pi\)
\(312\) 1.31797 0.0753645i 0.0746156 0.00426667i
\(313\) −2.73325 10.3984i −0.154493 0.587751i −0.998664 0.0516772i \(-0.983543\pi\)
0.844171 0.536074i \(-0.180093\pi\)
\(314\) 0.200387 7.01446i 0.0113085 0.395849i
\(315\) −1.76518 3.34539i −0.0994567 0.188491i
\(316\) −3.19660 + 15.7758i −0.179823 + 0.887461i
\(317\) −0.741440 + 2.82073i −0.0416434 + 0.158428i −0.984719 0.174150i \(-0.944282\pi\)
0.943076 + 0.332578i \(0.107919\pi\)
\(318\) −0.268936 0.0789666i −0.0150812 0.00442823i
\(319\) −11.1794 23.4032i −0.625924 1.31033i
\(320\) −7.01447 + 2.05963i −0.392121 + 0.115137i
\(321\) −0.108453 3.79635i −0.00605326 0.211892i
\(322\) −31.0233 + 17.5197i −1.72886 + 0.976332i
\(323\) −24.0715 + 17.4890i −1.33938 + 0.973114i
\(324\) 8.84544 3.73812i 0.491414 0.207673i
\(325\) 5.49955 + 0.951735i 0.305060 + 0.0527928i
\(326\) 3.36595 39.1890i 0.186423 2.17048i
\(327\) −0.331814 3.86324i −0.0183494 0.213638i
\(328\) −0.261899 + 0.0453234i −0.0144609 + 0.00250256i
\(329\) −31.0720 + 19.9688i −1.71305 + 1.10091i
\(330\) −4.65818 + 8.03471i −0.256424 + 0.442296i
\(331\) −0.225182 0.144715i −0.0123771 0.00795428i 0.534438 0.845208i \(-0.320523\pi\)
−0.546815 + 0.837254i \(0.684160\pi\)
\(332\) −14.8404 6.27160i −0.814472 0.344199i
\(333\) 3.00398 0.698546i 0.164617 0.0382801i
\(334\) 9.40679 24.1612i 0.514717 1.32204i
\(335\) −0.151991 0.252049i −0.00830417 0.0137709i
\(336\) −6.90227 + 21.2430i −0.376549 + 1.15890i
\(337\) 7.47862 9.69845i 0.407386 0.528308i −0.542853 0.839827i \(-0.682656\pi\)
0.950240 + 0.311519i \(0.100838\pi\)
\(338\) 13.0308 + 33.4693i 0.708780 + 1.82049i
\(339\) 12.6683 + 18.5268i 0.688048 + 1.00624i
\(340\) 1.82140 12.6681i 0.0987794 0.687026i
\(341\) 27.0012 11.9634i 1.46220 0.647857i
\(342\) −1.25078 8.69936i −0.0676344 0.470407i
\(343\) −1.07064 + 0.982626i −0.0578092 + 0.0530568i
\(344\) −1.29294 0.0739331i −0.0697108 0.00398621i
\(345\) 1.33424 + 6.58471i 0.0718328 + 0.354509i
\(346\) −25.6799 + 20.9983i −1.38056 + 1.12888i
\(347\) 16.2827 + 8.00566i 0.874101 + 0.429767i 0.822409 0.568897i \(-0.192630\pi\)
0.0516920 + 0.998663i \(0.483539\pi\)
\(348\) 19.9655 7.12369i 1.07026 0.381870i
\(349\) −3.36024 4.35764i −0.179870 0.233259i 0.693332 0.720618i \(-0.256142\pi\)
−0.873201 + 0.487359i \(0.837960\pi\)
\(350\) −3.87532 + 6.42649i −0.207144 + 0.343510i
\(351\) −20.6756 23.8610i −1.10358 1.27360i
\(352\) −25.4174 + 6.37429i −1.35475 + 0.339751i
\(353\) 14.5141 16.7502i 0.772508 0.891522i −0.224036 0.974581i \(-0.571923\pi\)
0.996545 + 0.0830585i \(0.0264688\pi\)
\(354\) 4.23036 + 13.0197i 0.224841 + 0.691990i
\(355\) 2.08789 + 0.744957i 0.110814 + 0.0395382i
\(356\) −1.13766 1.17062i −0.0602957 0.0620428i
\(357\) −26.4186 24.2467i −1.39822 1.28327i
\(358\) −17.7301 + 25.9294i −0.937064 + 1.37041i
\(359\) −21.5320 5.00705i −1.13641 0.264262i −0.384244 0.923231i \(-0.625538\pi\)
−0.752170 + 0.658970i \(0.770993\pi\)
\(360\) −0.134863 0.0979835i −0.00710789 0.00516418i
\(361\) 0.826315 + 0.0948109i 0.0434903 + 0.00499005i
\(362\) 50.7519 2.66746
\(363\) −8.33834 + 13.1450i −0.437649 + 0.689933i
\(364\) −40.5464 −2.12521
\(365\) 3.44611 + 0.395405i 0.180378 + 0.0206964i
\(366\) 8.08398 + 5.87336i 0.422557 + 0.307005i
\(367\) −7.78432 1.81017i −0.406338 0.0944899i 0.0183454 0.999832i \(-0.494160\pi\)
−0.424684 + 0.905342i \(0.639615\pi\)
\(368\) −11.1526 + 16.3101i −0.581368 + 0.850223i
\(369\) 1.16851 + 1.07245i 0.0608300 + 0.0558293i
\(370\) −4.26450 4.38806i −0.221701 0.228125i
\(371\) −0.357534 0.127568i −0.0185622 0.00662299i
\(372\) 7.45903 + 22.9565i 0.386733 + 1.19024i
\(373\) −13.0541 + 15.0652i −0.675914 + 0.780047i −0.985290 0.170893i \(-0.945335\pi\)
0.309375 + 0.950940i \(0.399880\pi\)
\(374\) 7.96593 43.1192i 0.411908 2.22964i
\(375\) 0.926723 + 1.06949i 0.0478558 + 0.0552285i
\(376\) −0.840579 + 1.39394i −0.0433496 + 0.0718872i
\(377\) −26.6525 34.5635i −1.37267 1.78011i
\(378\) 39.9831 14.2660i 2.05651 0.733761i
\(379\) −3.47758 1.70981i −0.178631 0.0878271i 0.349715 0.936856i \(-0.386279\pi\)
−0.528346 + 0.849029i \(0.677188\pi\)
\(380\) −6.60375 + 5.39986i −0.338765 + 0.277007i
\(381\) −1.01119 4.99042i −0.0518049 0.255667i
\(382\) 36.6758 + 2.09720i 1.87650 + 0.107302i
\(383\) 23.7625 21.8090i 1.21421 1.11439i 0.224027 0.974583i \(-0.428080\pi\)
0.990179 0.139805i \(-0.0446477\pi\)
\(384\) 0.269050 + 1.87128i 0.0137299 + 0.0954936i
\(385\) −6.91975 + 10.5039i −0.352663 + 0.535329i
\(386\) −3.58290 + 24.9196i −0.182365 + 1.26838i
\(387\) 4.36198 + 6.37919i 0.221732 + 0.324272i
\(388\) 5.89463 + 15.1402i 0.299254 + 0.768628i
\(389\) −5.62011 + 7.28829i −0.284951 + 0.369531i −0.912521 0.409029i \(-0.865868\pi\)
0.627571 + 0.778560i \(0.284049\pi\)
\(390\) −4.82963 + 14.8641i −0.244558 + 0.752672i
\(391\) −16.3804 27.1638i −0.828390 1.37373i
\(392\) −0.447713 + 1.14994i −0.0226129 + 0.0580808i
\(393\) −14.3793 + 3.34377i −0.725342 + 0.168671i
\(394\) 0.439716 + 0.185826i 0.0221526 + 0.00936176i
\(395\) 7.06915 + 4.54307i 0.355687 + 0.228586i
\(396\) 4.97365 + 3.92586i 0.249936 + 0.197282i
\(397\) 8.56639 5.50529i 0.429935 0.276302i −0.307724 0.951476i \(-0.599567\pi\)
0.737659 + 0.675173i \(0.235931\pi\)
\(398\) 3.30665 0.572238i 0.165747 0.0286837i
\(399\) 2.04529 + 23.8129i 0.102393 + 1.19214i
\(400\) −0.356146 + 4.14653i −0.0178073 + 0.207327i
\(401\) −34.5946 5.98684i −1.72757 0.298968i −0.781736 0.623609i \(-0.785666\pi\)
−0.945837 + 0.324641i \(0.894757\pi\)
\(402\) 0.759187 0.320835i 0.0378648 0.0160018i
\(403\) 40.2071 29.2121i 2.00286 1.45516i
\(404\) 6.62466 3.74112i 0.329589 0.186127i
\(405\) −0.143156 5.01112i −0.00711349 0.249005i
\(406\) 56.3087 16.5337i 2.79456 0.820556i
\(407\) −6.84880 7.63400i −0.339482 0.378403i
\(408\) −1.51631 0.445229i −0.0750686 0.0220421i
\(409\) 5.12966 19.5152i 0.253645 0.964967i −0.711380 0.702808i \(-0.751929\pi\)
0.965025 0.262159i \(-0.0844343\pi\)
\(410\) 0.624907 3.08404i 0.0308620 0.152310i
\(411\) −3.37723 6.40056i −0.166586 0.315716i
\(412\) −0.728432 + 25.4985i −0.0358873 + 1.25622i
\(413\) 4.71339 + 17.9316i 0.231931 + 0.882356i
\(414\) 9.35437 0.534902i 0.459742 0.0262890i
\(415\) −5.86181 + 6.03166i −0.287745 + 0.296082i
\(416\) −39.5732 + 19.4568i −1.94023 + 0.953949i
\(417\) −6.87500 + 15.0542i −0.336670 + 0.737205i
\(418\) −23.3449 + 17.5837i −1.14184 + 0.860047i
\(419\) −7.54235 16.5154i −0.368468 0.806832i −0.999517 0.0310891i \(-0.990102\pi\)
0.631049 0.775743i \(-0.282625\pi\)
\(420\) −7.95863 6.50774i −0.388341 0.317545i
\(421\) 6.80110 12.8895i 0.331465 0.628196i −0.661047 0.750345i \(-0.729887\pi\)
0.992512 + 0.122148i \(0.0389784\pi\)
\(422\) −43.4156 24.5179i −2.11344 1.19351i
\(423\) 9.65004 1.10724i 0.469201 0.0538358i
\(424\) −0.0166207 + 0.00190705i −0.000807173 + 9.26145e-5i
\(425\) −5.81778 3.28545i −0.282204 0.159368i
\(426\) −2.89689 + 5.49022i −0.140355 + 0.266002i
\(427\) 10.4766 + 8.56665i 0.506997 + 0.414569i
\(428\) 2.13557 + 4.67625i 0.103227 + 0.226035i
\(429\) −9.08189 + 24.5712i −0.438478 + 1.18631i
\(430\) 6.36922 13.9466i 0.307151 0.672567i
\(431\) 3.34990 1.64704i 0.161359 0.0793350i −0.358755 0.933432i \(-0.616799\pi\)
0.520114 + 0.854097i \(0.325889\pi\)
\(432\) 16.4078 16.8832i 0.789419 0.812293i
\(433\) 16.7003 0.954956i 0.802564 0.0458923i 0.349008 0.937120i \(-0.386519\pi\)
0.453556 + 0.891228i \(0.350155\pi\)
\(434\) 16.9879 + 64.6286i 0.815444 + 3.10227i
\(435\) 0.316017 11.0620i 0.0151518 0.530384i
\(436\) 2.44931 + 4.64197i 0.117301 + 0.222310i
\(437\) −4.19867 + 20.7213i −0.200850 + 0.991233i
\(438\) −2.46930 + 9.39417i −0.117987 + 0.448871i
\(439\) 21.0797 + 6.18955i 1.00608 + 0.295411i 0.742948 0.669349i \(-0.233427\pi\)
0.263130 + 0.964760i \(0.415245\pi\)
\(440\) −0.0694216 + 0.549976i −0.00330955 + 0.0262191i
\(441\) 7.06545 2.07460i 0.336450 0.0987906i
\(442\) −2.10715 73.7598i −0.100227 3.50839i
\(443\) 17.8800 10.0973i 0.849503 0.479736i −0.00450924 0.999990i \(-0.501435\pi\)
0.854012 + 0.520254i \(0.174163\pi\)
\(444\) 6.78151 4.92706i 0.321836 0.233828i
\(445\) −0.784956 + 0.331725i −0.0372105 + 0.0157253i
\(446\) −24.2991 4.20512i −1.15059 0.199118i
\(447\) 0.608214 7.08131i 0.0287676 0.334935i
\(448\) −2.37262 27.6239i −0.112096 1.30511i
\(449\) −1.29171 + 0.223540i −0.0609597 + 0.0105495i −0.200920 0.979608i \(-0.564393\pi\)
0.139961 + 0.990157i \(0.455302\pi\)
\(450\) 1.66026 1.06699i 0.0782655 0.0502982i
\(451\) 1.25268 5.12330i 0.0589865 0.241247i
\(452\) −25.5572 16.4246i −1.20211 0.772550i
\(453\) 25.3041 + 10.6936i 1.18889 + 0.502428i
\(454\) 44.3500 10.3132i 2.08145 0.484021i
\(455\) −7.67961 + 19.7249i −0.360026 + 0.924719i
\(456\) 0.543932 + 0.902011i 0.0254720 + 0.0422405i
\(457\) 10.6822 32.8763i 0.499691 1.53789i −0.309826 0.950793i \(-0.600271\pi\)
0.809517 0.587097i \(-0.199729\pi\)
\(458\) 29.1218 37.7658i 1.36077 1.76468i
\(459\) 13.7125 + 35.2203i 0.640045 + 1.64394i
\(460\) −5.13314 7.50698i −0.239334 0.350015i
\(461\) −3.46198 + 24.0786i −0.161240 + 1.12145i 0.735059 + 0.678003i \(0.237154\pi\)
−0.896300 + 0.443449i \(0.853755\pi\)
\(462\) −26.3565 23.3658i −1.22622 1.08707i
\(463\) 1.15050 + 8.00194i 0.0534685 + 0.371882i 0.998934 + 0.0461595i \(0.0146983\pi\)
−0.945466 + 0.325722i \(0.894393\pi\)
\(464\) 23.9777 22.0065i 1.11314 1.02163i
\(465\) 12.5806 + 0.719385i 0.583411 + 0.0333607i
\(466\) 8.27160 + 40.8219i 0.383174 + 1.89104i
\(467\) 5.93283 4.85125i 0.274538 0.224489i −0.485712 0.874119i \(-0.661440\pi\)
0.760251 + 0.649630i \(0.225076\pi\)
\(468\) 9.56896 + 4.70474i 0.442325 + 0.217477i
\(469\) 1.05134 0.375116i 0.0485462 0.0173212i
\(470\) −11.7680 15.2610i −0.542816 0.703936i
\(471\) 2.59156 4.29761i 0.119413 0.198024i
\(472\) 0.535091 + 0.617528i 0.0246296 + 0.0284240i
\(473\) 11.5990 22.9318i 0.533324 1.05440i
\(474\) −15.4094 + 17.7834i −0.707777 + 0.816818i
\(475\) 1.37614 + 4.23532i 0.0631417 + 0.194330i
\(476\) 45.7154 + 16.3112i 2.09536 + 0.747623i
\(477\) 0.0695759 + 0.0715919i 0.00318566 + 0.00327797i
\(478\) −12.7169 11.6715i −0.581657 0.533840i
\(479\) −7.11257 + 10.4018i −0.324982 + 0.475270i −0.953018 0.302913i \(-0.902041\pi\)
0.628036 + 0.778184i \(0.283859\pi\)
\(480\) −10.8904 2.53246i −0.497078 0.115591i
\(481\) −13.9628 10.1445i −0.636647 0.462551i
\(482\) −13.6194 1.56268i −0.620346 0.0711780i
\(483\) −25.4801 −1.15939
\(484\) 3.47020 20.7831i 0.157736 0.944689i
\(485\) 8.48184 0.385140
\(486\) −19.4154 2.22770i −0.880698 0.101051i
\(487\) 18.6236 + 13.5308i 0.843914 + 0.613140i 0.923461 0.383692i \(-0.125347\pi\)
−0.0795471 + 0.996831i \(0.525347\pi\)
\(488\) 0.580919 + 0.135087i 0.0262970 + 0.00611510i
\(489\) 15.8777 23.2203i 0.718012 1.05006i
\(490\) −10.7635 9.87866i −0.486246 0.446272i
\(491\) 14.9553 + 15.3887i 0.674924 + 0.694481i 0.964919 0.262548i \(-0.0845627\pi\)
−0.289995 + 0.957028i \(0.593654\pi\)
\(492\) 4.06005 + 1.44862i 0.183041 + 0.0653090i
\(493\) 16.1458 + 49.6916i 0.727170 + 2.23800i
\(494\) −32.2077 + 37.1697i −1.44909 + 1.67234i
\(495\) 2.85187 1.67600i 0.128182 0.0753307i
\(496\) 24.2683 + 28.0071i 1.08968 + 1.25756i
\(497\) −4.34150 + 7.19957i −0.194743 + 0.322945i
\(498\) −14.3822 18.6511i −0.644481 0.835778i
\(499\) −8.49115 + 3.02964i −0.380116 + 0.135625i −0.519194 0.854656i \(-0.673768\pi\)
0.139078 + 0.990281i \(0.455586\pi\)
\(500\) −1.71900 0.845174i −0.0768759 0.0377973i
\(501\) 14.3546 11.7377i 0.641316 0.524401i
\(502\) 10.2134 + 50.4052i 0.455847 + 2.24969i
\(503\) −9.02759 0.516216i −0.402520 0.0230170i −0.145343 0.989381i \(-0.546429\pi\)
−0.257177 + 0.966364i \(0.582792\pi\)
\(504\) 0.465775 0.427485i 0.0207473 0.0190417i
\(505\) −0.565239 3.93133i −0.0251528 0.174942i
\(506\) −16.5473 26.4006i −0.735615 1.17365i
\(507\) −3.65552 + 25.4247i −0.162347 + 1.12915i
\(508\) 3.89031 + 5.68939i 0.172605 + 0.252426i
\(509\) −15.1001 38.7842i −0.669299 1.71908i −0.694597 0.719399i \(-0.744417\pi\)
0.0252981 0.999680i \(-0.491947\pi\)
\(510\) 11.4249 14.8161i 0.505904 0.656068i
\(511\) −4.06518 + 12.5113i −0.179833 + 0.553469i
\(512\) −16.2619 26.9673i −0.718680 1.19180i
\(513\) 9.13969 23.4751i 0.403527 1.03645i
\(514\) −28.8758 + 6.71479i −1.27366 + 0.296177i
\(515\) 12.2665 + 5.18385i 0.540525 + 0.228428i
\(516\) 17.6696 + 11.3555i 0.777859 + 0.499900i
\(517\) −18.6887 26.3451i −0.821930 1.15865i
\(518\) 19.5222 12.5461i 0.857755 0.551246i
\(519\) −23.3760 + 4.04538i −1.02609 + 0.177572i
\(520\) 0.0798292 + 0.929435i 0.00350074 + 0.0407584i
\(521\) −1.73354 + 20.1833i −0.0759478 + 0.884244i 0.854889 + 0.518810i \(0.173625\pi\)
−0.930837 + 0.365434i \(0.880921\pi\)
\(522\) −15.2073 2.63173i −0.665607 0.115188i
\(523\) 15.5292 6.56269i 0.679044 0.286967i −0.0223393 0.999750i \(-0.507111\pi\)
0.701384 + 0.712784i \(0.252566\pi\)
\(524\) 16.1667 11.7458i 0.706245 0.513117i
\(525\) −4.67326 + 2.63911i −0.203958 + 0.115180i
\(526\) −1.00552 35.1978i −0.0438427 1.53470i
\(527\) −57.0843 + 16.7615i −2.48663 + 0.730141i
\(528\) −18.8342 5.17934i −0.819655 0.225402i
\(529\) 0.441721 + 0.129701i 0.0192053 + 0.00563917i
\(530\) 0.0503515 0.191557i 0.00218713 0.00832071i
\(531\) 0.968304 4.77877i 0.0420208 0.207381i
\(532\) −15.0975 28.6129i −0.654560 1.24053i
\(533\) 0.253452 8.87197i 0.0109782 0.384287i
\(534\) −0.606639 2.30790i −0.0262519 0.0998724i
\(535\) 2.67938 0.153212i 0.115840 0.00662395i
\(536\) 0.0342853 0.0352788i 0.00148090 0.00152381i
\(537\) −20.1596 + 9.91179i −0.869949 + 0.427725i
\(538\) −5.83063 + 12.7673i −0.251376 + 0.550438i
\(539\) −17.3662 17.2638i −0.748016 0.743605i
\(540\) 4.50139 + 9.85667i 0.193709 + 0.424164i
\(541\) −8.71526 7.12644i −0.374698 0.306389i 0.426846 0.904324i \(-0.359625\pi\)
−0.801545 + 0.597935i \(0.795988\pi\)
\(542\) 23.2978 44.1543i 1.00073 1.89659i
\(543\) 31.6045 + 17.8479i 1.35628 + 0.765927i
\(544\) 52.4452 6.01753i 2.24857 0.257999i
\(545\) 2.72212 0.312334i 0.116603 0.0133789i
\(546\) −51.6120 29.1466i −2.20879 1.24736i
\(547\) −3.67233 + 6.95985i −0.157018 + 0.297582i −0.950336 0.311225i \(-0.899261\pi\)
0.793318 + 0.608807i \(0.208352\pi\)
\(548\) 7.58337 + 6.20089i 0.323946 + 0.264889i
\(549\) −1.47846 3.23737i −0.0630989 0.138167i
\(550\) −5.76934 3.12819i −0.246006 0.133386i
\(551\) 14.4668 31.6780i 0.616308 1.34953i
\(552\) −1.00772 + 0.495462i −0.0428913 + 0.0210883i
\(553\) −22.2107 + 22.8542i −0.944493 + 0.971861i
\(554\) −16.7092 + 0.955469i −0.709908 + 0.0405940i
\(555\) −1.11246 4.23225i −0.0472215 0.179649i
\(556\) 0.639702 22.3925i 0.0271294 0.949653i
\(557\) −4.01312 7.60571i −0.170041 0.322264i 0.784610 0.619989i \(-0.212863\pi\)
−0.954652 + 0.297725i \(0.903772\pi\)
\(558\) 3.48994 17.2235i 0.147741 0.729130i
\(559\) 10.9939 41.8250i 0.464991 1.76901i
\(560\) −15.1443 4.44678i −0.639965 0.187911i
\(561\) 20.1243 24.0500i 0.849648 1.01539i
\(562\) −7.04757 + 2.06935i −0.297284 + 0.0872904i
\(563\) −1.16391 40.7423i −0.0490531 1.71708i −0.536475 0.843916i \(-0.680244\pi\)
0.487422 0.873167i \(-0.337937\pi\)
\(564\) 22.9878 12.9818i 0.967960 0.546632i
\(565\) −12.8308 + 9.32215i −0.539797 + 0.392186i
\(566\) 51.6980 21.8478i 2.17303 0.918329i
\(567\) 18.7340 + 3.24205i 0.786756 + 0.136153i
\(568\) −0.0317070 + 0.369158i −0.00133039 + 0.0154895i
\(569\) 1.81651 + 21.1492i 0.0761520 + 0.886622i 0.930350 + 0.366673i \(0.119503\pi\)
−0.854198 + 0.519948i \(0.825951\pi\)
\(570\) −12.2877 + 2.12646i −0.514673 + 0.0890677i
\(571\) 24.3551 15.6521i 1.01923 0.655018i 0.0794629 0.996838i \(-0.474679\pi\)
0.939766 + 0.341819i \(0.111043\pi\)
\(572\) −1.62333 35.4214i −0.0678747 1.48104i
\(573\) 22.1015 + 14.2037i 0.923302 + 0.593370i
\(574\) 10.9927 + 4.64553i 0.458825 + 0.193901i
\(575\) −4.62421 + 1.07531i −0.192843 + 0.0448437i
\(576\) −2.64536 + 6.79454i −0.110223 + 0.283106i
\(577\) 22.6701 + 37.5941i 0.943768 + 1.56506i 0.819702 + 0.572790i \(0.194139\pi\)
0.124066 + 0.992274i \(0.460406\pi\)
\(578\) −16.9016 + 52.0178i −0.703014 + 2.16366i
\(579\) −10.9946 + 14.2581i −0.456921 + 0.592546i
\(580\) 5.43472 + 13.9590i 0.225665 + 0.579615i
\(581\) −18.0047 26.3310i −0.746960 1.09239i
\(582\) −3.38015 + 23.5095i −0.140112 + 0.974499i
\(583\) 0.0971290 0.317449i 0.00402267 0.0131474i
\(584\) 0.0825087 + 0.573860i 0.00341423 + 0.0237465i
\(585\) 4.10114 3.76399i 0.169561 0.155622i
\(586\) −37.9989 2.17285i −1.56972 0.0897597i
\(587\) −8.02455 39.6027i −0.331209 1.63458i −0.706530 0.707684i \(-0.749740\pi\)
0.375321 0.926895i \(-0.377532\pi\)
\(588\) 15.4937 12.6691i 0.638948 0.522465i
\(589\) 35.5857 + 17.4963i 1.46628 + 0.720922i
\(590\) −9.11116 + 3.25086i −0.375101 + 0.133836i
\(591\) 0.208473 + 0.270353i 0.00857545 + 0.0111208i
\(592\) 6.64574 11.0207i 0.273138 0.452949i
\(593\) 14.5326 + 16.7715i 0.596781 + 0.688722i 0.971126 0.238567i \(-0.0766777\pi\)
−0.374345 + 0.927290i \(0.622132\pi\)
\(594\) 14.0635 + 34.3582i 0.577034 + 1.40973i
\(595\) 16.5937 19.1501i 0.680274 0.785078i
\(596\) 2.97291 + 9.14966i 0.121775 + 0.374785i
\(597\) 2.26037 + 0.806499i 0.0925109 + 0.0330078i
\(598\) −36.5425 37.6013i −1.49433 1.53763i
\(599\) −28.7440 26.3810i −1.17445 1.07790i −0.995570 0.0940276i \(-0.970026\pi\)
−0.178879 0.983871i \(-0.557247\pi\)
\(600\) −0.133506 + 0.195246i −0.00545036 + 0.00797089i
\(601\) 21.9072 + 5.09430i 0.893613 + 0.207801i 0.648066 0.761584i \(-0.275578\pi\)
0.245547 + 0.969385i \(0.421032\pi\)
\(602\) 47.0424 + 34.1783i 1.91730 + 1.39300i
\(603\) −0.291641 0.0334627i −0.0118766 0.00136271i
\(604\) −37.1844 −1.51301
\(605\) −9.45327 5.62456i −0.384330 0.228671i
\(606\) 11.1219 0.451796
\(607\) 7.00656 + 0.803927i 0.284387 + 0.0326304i 0.255011 0.966938i \(-0.417921\pi\)
0.0293759 + 0.999568i \(0.490648\pi\)
\(608\) −28.4655 20.6814i −1.15443 0.838740i
\(609\) 40.8793 + 9.50608i 1.65651 + 0.385206i
\(610\) −3.98554 + 5.82867i −0.161370 + 0.235996i
\(611\) −40.0465 36.7544i −1.62011 1.48692i
\(612\) −8.89619 9.15396i −0.359607 0.370027i
\(613\) −20.9928 7.49022i −0.847891 0.302527i −0.123865 0.992299i \(-0.539529\pi\)
−0.724026 + 0.689772i \(0.757711\pi\)
\(614\) −3.09594 9.52833i −0.124942 0.384532i
\(615\) 1.47371 1.70075i 0.0594256 0.0685809i
\(616\) −1.99196 0.672257i −0.0802584 0.0270860i
\(617\) 14.0127 + 16.1715i 0.564128 + 0.651039i 0.964116 0.265482i \(-0.0855310\pi\)
−0.399988 + 0.916521i \(0.630986\pi\)
\(618\) −19.2567 + 31.9336i −0.774618 + 1.28456i
\(619\) −5.76538 7.47668i −0.231730 0.300513i 0.661651 0.749812i \(-0.269856\pi\)
−0.893382 + 0.449298i \(0.851674\pi\)
\(620\) −16.0649 + 5.73195i −0.645182 + 0.230201i
\(621\) 24.1009 + 11.8496i 0.967136 + 0.475509i
\(622\) −14.6877 + 12.0100i −0.588922 + 0.481559i
\(623\) −0.641820 3.16751i −0.0257140 0.126903i
\(624\) −32.8177 1.87658i −1.31376 0.0751235i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 3.02774 + 21.0584i 0.121013 + 0.841663i
\(627\) −20.7211 + 2.74015i −0.827521 + 0.109431i
\(628\) −0.966753 + 6.72392i −0.0385777 + 0.268314i
\(629\) 11.6618 + 17.0548i 0.464985 + 0.680019i
\(630\) 2.71553 + 6.97477i 0.108189 + 0.277882i
\(631\) −18.8015 + 24.3823i −0.748477 + 0.970643i 0.251519 + 0.967852i \(0.419070\pi\)
−0.999996 + 0.00279039i \(0.999112\pi\)
\(632\) −0.434012 + 1.33575i −0.0172641 + 0.0531334i
\(633\) −18.4138 30.5359i −0.731883 1.21369i
\(634\) 2.09383 5.37796i 0.0831566 0.213586i
\(635\) 3.50460 0.814959i 0.139076 0.0323407i
\(636\) 0.249930 + 0.105621i 0.00991038 + 0.00418816i
\(637\) −34.6661 22.2786i −1.37352 0.882709i
\(638\) 16.6983 + 48.5294i 0.661092 + 1.92130i
\(639\) 1.85999 1.19534i 0.0735799 0.0472869i
\(640\) −1.31636 + 0.227805i −0.0520337 + 0.00900478i
\(641\) 0.737966 + 8.59198i 0.0291479 + 0.339363i 0.996350 + 0.0853566i \(0.0272030\pi\)
−0.967203 + 0.254006i \(0.918252\pi\)
\(642\) −0.643111 + 7.48760i −0.0253816 + 0.295512i
\(643\) −34.9316 6.04514i −1.37757 0.238397i −0.566842 0.823826i \(-0.691835\pi\)
−0.810724 + 0.585429i \(0.800926\pi\)
\(644\) 31.7694 13.4258i 1.25189 0.529052i
\(645\) 8.87088 6.44508i 0.349291 0.253775i
\(646\) 51.2665 28.9515i 2.01705 1.13908i
\(647\) −0.579215 20.2752i −0.0227713 0.797099i −0.928088 0.372362i \(-0.878548\pi\)
0.905316 0.424738i \(-0.139634\pi\)
\(648\) 0.803958 0.236063i 0.0315824 0.00927344i
\(649\) −15.4764 + 4.83554i −0.607500 + 0.189811i
\(650\) −10.5967 3.11149i −0.415639 0.122043i
\(651\) −12.1491 + 46.2200i −0.476161 + 1.81150i
\(652\) −7.56159 + 37.3179i −0.296135 + 1.46148i
\(653\) 11.0355 + 20.9146i 0.431852 + 0.818451i 0.999990 0.00448226i \(-0.00142675\pi\)
−0.568138 + 0.822934i \(0.692336\pi\)
\(654\) −0.219100 + 7.66949i −0.00856748 + 0.299901i
\(655\) −2.65204 10.0894i −0.103624 0.394226i
\(656\) 6.60745 0.377828i 0.257978 0.0147517i
\(657\) 2.41112 2.48098i 0.0940666 0.0967923i
\(658\) 65.5878 32.2474i 2.55688 1.25713i
\(659\) −3.11386 + 6.81840i −0.121299 + 0.265607i −0.960535 0.278160i \(-0.910275\pi\)
0.839236 + 0.543768i \(0.183003\pi\)
\(660\) 5.36654 7.21322i 0.208892 0.280774i
\(661\) 16.2403 + 35.5614i 0.631675 + 1.38318i 0.906715 + 0.421743i \(0.138582\pi\)
−0.275040 + 0.961433i \(0.588691\pi\)
\(662\) 0.410036 + 0.335285i 0.0159365 + 0.0130312i
\(663\) 24.6269 46.6731i 0.956429 1.81263i
\(664\) −1.22408 0.691268i −0.0475034 0.0268264i
\(665\) −16.7791 + 1.92522i −0.650664 + 0.0746568i
\(666\) −6.06301 + 0.695665i −0.234937 + 0.0269565i
\(667\) 32.3278 + 18.2563i 1.25174 + 0.706888i
\(668\) −11.7130 + 22.1985i −0.453188 + 0.858887i
\(669\) −13.6528 11.1639i −0.527849 0.431620i
\(670\) 0.241943 + 0.529780i 0.00934706 + 0.0204672i
\(671\) −7.06440 + 9.49533i −0.272718 + 0.366563i
\(672\) 17.6153 38.5722i 0.679526 1.48795i
\(673\) −34.2489 + 16.8390i −1.32020 + 0.649097i −0.959004 0.283394i \(-0.908540\pi\)
−0.361193 + 0.932491i \(0.617631\pi\)
\(674\) −16.8896 + 17.3790i −0.650564 + 0.669414i
\(675\) 5.64762 0.322943i 0.217377 0.0124301i
\(676\) −8.83883 33.6264i −0.339955 1.29332i
\(677\) −0.271740 + 9.51214i −0.0104438 + 0.365581i 0.977515 + 0.210865i \(0.0676281\pi\)
−0.987959 + 0.154716i \(0.950554\pi\)
\(678\) −20.7253 39.2788i −0.795951 1.50849i
\(679\) −6.38816 + 31.5268i −0.245155 + 1.20989i
\(680\) 0.283891 1.08004i 0.0108867 0.0414175i
\(681\) 31.2447 + 9.17428i 1.19730 + 0.351559i
\(682\) −55.7795 + 17.4281i −2.13591 + 0.667357i
\(683\) −26.8986 + 7.89813i −1.02924 + 0.302214i −0.752404 0.658702i \(-0.771106\pi\)
−0.276841 + 0.960916i \(0.589288\pi\)
\(684\) 0.242953 + 8.50447i 0.00928955 + 0.325177i
\(685\) 4.45291 2.51467i 0.170137 0.0960807i
\(686\) 2.32639 1.69022i 0.0888219 0.0645329i
\(687\) 31.4160 13.2765i 1.19859 0.506530i
\(688\) 31.7747 + 5.49883i 1.21140 + 0.209641i
\(689\) 0.0478071 0.556608i 0.00182131 0.0212051i
\(690\) −1.13767 13.2457i −0.0433104 0.504254i
\(691\) 38.8644 6.72575i 1.47847 0.255860i 0.626489 0.779430i \(-0.284491\pi\)
0.851983 + 0.523570i \(0.175400\pi\)
\(692\) 27.0143 17.3610i 1.02693 0.659968i
\(693\) 4.08176 + 11.8626i 0.155053 + 0.450624i
\(694\) −30.2039 19.4109i −1.14653 0.736827i
\(695\) −10.7723 4.55240i −0.408616 0.172683i
\(696\) 1.80159 0.418942i 0.0682891 0.0158799i
\(697\) −3.85482 + 9.90103i −0.146012 + 0.375028i
\(698\) 5.62288 + 9.32450i 0.212829 + 0.352938i
\(699\) −9.20489 + 28.3297i −0.348161 + 1.07153i
\(700\) 4.43617 5.75293i 0.167671 0.217440i
\(701\) 2.73689 + 7.02964i 0.103371 + 0.265506i 0.974045 0.226354i \(-0.0726807\pi\)
−0.870674 + 0.491860i \(0.836317\pi\)
\(702\) 35.2635 + 51.5713i 1.33094 + 1.94643i
\(703\) 1.95979 13.6306i 0.0739148 0.514089i
\(704\) 24.0373 3.17868i 0.905938 0.119801i
\(705\) −1.96140 13.6418i −0.0738705 0.513781i
\(706\) −32.3111 + 29.6549i −1.21605 + 1.11608i
\(707\) 15.0384 + 0.859925i 0.565576 + 0.0323408i
\(708\) −2.63177 12.9883i −0.0989080 0.488130i
\(709\) 35.7722 29.2508i 1.34345 1.09854i 0.357068 0.934078i \(-0.383776\pi\)
0.986384 0.164457i \(-0.0525872\pi\)
\(710\) −3.93649 1.93544i −0.147734 0.0726358i
\(711\) 7.89358 2.81642i 0.296032 0.105624i
\(712\) −0.0869757 0.112792i −0.00325955 0.00422706i
\(713\) −21.8307 + 36.2021i −0.817565 + 1.35578i
\(714\) 46.4664 + 53.6250i 1.73896 + 2.00687i
\(715\) −17.5392 5.91921i −0.655928 0.221366i
\(716\) 19.9129 22.9807i 0.744179 0.858828i
\(717\) −3.81464 11.7403i −0.142460 0.438448i
\(718\) 41.1997 + 14.7000i 1.53756 + 0.548600i
\(719\) 9.80821 + 10.0924i 0.365785 + 0.376383i 0.874891 0.484320i \(-0.160933\pi\)
−0.509106 + 0.860704i \(0.670024\pi\)
\(720\) 3.05809 + 2.80669i 0.113968 + 0.104599i
\(721\) −28.5068 + 41.6899i −1.06165 + 1.55261i
\(722\) −1.60305 0.372772i −0.0596592 0.0138731i
\(723\) −7.93159 5.76264i −0.294979 0.214315i
\(724\) −48.8098 5.60040i −1.81400 0.208137i
\(725\) 7.82008 0.290430
\(726\) 19.3571 23.9606i 0.718411 0.889260i
\(727\) −6.61665 −0.245398 −0.122699 0.992444i \(-0.539155\pi\)
−0.122699 + 0.992444i \(0.539155\pi\)
\(728\) −3.51481 0.403287i −0.130268 0.0149468i
\(729\) −23.4742 17.0550i −0.869416 0.631668i
\(730\) −6.68543 1.55463i −0.247439 0.0575395i
\(731\) −29.2210 + 42.7343i −1.08078 + 1.58059i
\(732\) −7.12651 6.54065i −0.263403 0.241750i
\(733\) 10.5176 + 10.8223i 0.388476 + 0.399732i 0.882955 0.469457i \(-0.155550\pi\)
−0.494479 + 0.869189i \(0.664641\pi\)
\(734\) 14.8947 + 5.31441i 0.549773 + 0.196158i
\(735\) −3.22869 9.93689i −0.119092 0.366528i
\(736\) 24.5642 28.3486i 0.905448 1.04494i
\(737\) 0.369793 + 0.903430i 0.0136215 + 0.0332783i
\(738\) −2.05523 2.37186i −0.0756541 0.0873095i
\(739\) −7.93147 + 13.1529i −0.291764 + 0.483836i −0.967350 0.253445i \(-0.918436\pi\)
0.675586 + 0.737281i \(0.263891\pi\)
\(740\) 3.61709 + 4.69072i 0.132967 + 0.172434i
\(741\) −33.1280 + 11.8201i −1.21699 + 0.434221i
\(742\) 0.674091 + 0.331428i 0.0247467 + 0.0121671i
\(743\) −13.0988 + 10.7108i −0.480547 + 0.392941i −0.842024 0.539440i \(-0.818636\pi\)
0.361477 + 0.932381i \(0.382273\pi\)
\(744\) 0.418262 + 2.06420i 0.0153342 + 0.0756774i
\(745\) 5.01418 + 0.286721i 0.183705 + 0.0105047i
\(746\) 29.0608 26.6718i 1.06399 0.976523i
\(747\) 1.19383 + 8.30327i 0.0436799 + 0.303801i
\(748\) −12.4192 + 40.5901i −0.454092 + 1.48412i
\(749\) −1.44851 + 10.0746i −0.0529273 + 0.368117i
\(750\) −1.58058 2.31152i −0.0577146 0.0844050i
\(751\) −1.22449 3.14508i −0.0446823 0.114766i 0.907754 0.419502i \(-0.137795\pi\)
−0.952437 + 0.304736i \(0.901432\pi\)
\(752\) 24.7507 32.0972i 0.902564 1.17047i
\(753\) −11.3658 + 34.9803i −0.414193 + 1.27475i
\(754\) 44.5991 + 73.9593i 1.62420 + 2.69344i
\(755\) −7.04284 + 18.0894i −0.256315 + 0.658340i
\(756\) −40.0273 + 9.30795i −1.45578 + 0.338527i
\(757\) −32.1250 13.5761i −1.16760 0.493433i −0.282699 0.959209i \(-0.591230\pi\)
−0.884903 + 0.465776i \(0.845775\pi\)
\(758\) 6.45081 + 4.14568i 0.234304 + 0.150578i
\(759\) −1.02013 22.2595i −0.0370284 0.807968i
\(760\) −0.626162 + 0.402410i −0.0227133 + 0.0145969i
\(761\) −13.5816 + 2.35039i −0.492332 + 0.0852014i −0.411281 0.911509i \(-0.634919\pi\)
−0.0810510 + 0.996710i \(0.525828\pi\)
\(762\) 0.862218 + 10.0386i 0.0312349 + 0.363661i
\(763\) −0.889246 + 10.3533i −0.0321929 + 0.374815i
\(764\) −35.0409 6.06407i −1.26774 0.219390i
\(765\) −6.13816 + 2.59401i −0.221926 + 0.0937866i
\(766\) −51.6333 + 37.5138i −1.86559 + 1.35543i
\(767\) −23.7589 + 13.4173i −0.857883 + 0.484469i
\(768\) −0.697683 24.4221i −0.0251754 0.881256i
\(769\) 31.5396 9.26087i 1.13735 0.333956i 0.341756 0.939789i \(-0.388978\pi\)
0.795592 + 0.605833i \(0.207160\pi\)
\(770\) 15.9726 19.0885i 0.575614 0.687902i
\(771\) −20.3431 5.97328i −0.732639 0.215122i
\(772\) 6.19563 23.5706i 0.222986 0.848326i
\(773\) −8.95235 + 44.1816i −0.321994 + 1.58910i 0.412808 + 0.910818i \(0.364548\pi\)
−0.734801 + 0.678282i \(0.762725\pi\)
\(774\) −7.13618 13.5246i −0.256505 0.486130i
\(775\) −0.254277 + 8.90086i −0.00913391 + 0.319728i
\(776\) 0.360393 + 1.37108i 0.0129374 + 0.0492188i
\(777\) 16.5691 0.947453i 0.594412 0.0339897i
\(778\) 12.6924 13.0602i 0.455044 0.468229i
\(779\) 6.35517 3.12463i 0.227698 0.111951i
\(780\) 6.28504 13.7623i 0.225041 0.492770i
\(781\) −6.46337 3.50450i −0.231278 0.125401i
\(782\) 26.0746 + 57.0953i 0.932424 + 2.04172i
\(783\) −34.2457 28.0026i −1.22384 1.00073i
\(784\) 14.3394 27.1762i 0.512122 0.970580i
\(785\) 3.08793 + 1.74383i 0.110213 + 0.0622401i
\(786\) 29.0222 3.32998i 1.03519 0.118777i
\(787\) 21.0529 2.41560i 0.750455 0.0861067i 0.269679 0.962950i \(-0.413082\pi\)
0.480776 + 0.876843i \(0.340355\pi\)
\(788\) −0.402384 0.227236i −0.0143343 0.00809496i
\(789\) 11.7518 22.2722i 0.418376 0.792910i
\(790\) −12.8723 10.5256i −0.457976 0.374485i
\(791\) −24.9866 54.7130i −0.888421 1.94537i
\(792\) 0.392099 + 0.389787i 0.0139326 + 0.0138505i
\(793\) −8.27349 + 18.1164i −0.293800 + 0.643333i
\(794\) −18.0822 + 8.89043i −0.641714 + 0.315510i
\(795\) 0.0987200 0.101580i 0.00350124 0.00360269i
\(796\) −3.24325 + 0.185456i −0.114954 + 0.00657331i
\(797\) 0.281547 + 1.07112i 0.00997292 + 0.0379409i 0.971947 0.235199i \(-0.0755742\pi\)
−0.961974 + 0.273140i \(0.911938\pi\)
\(798\) 1.35052 47.2745i 0.0478080 1.67350i
\(799\) 30.3660 + 57.5501i 1.07427 + 2.03597i
\(800\) 1.56906 7.74360i 0.0554745 0.273778i
\(801\) −0.216067 + 0.822005i −0.00763436 + 0.0290441i
\(802\) 66.6582 + 19.5726i 2.35378 + 0.691133i
\(803\) −11.0927 3.05044i −0.391452 0.107648i
\(804\) −0.765539 + 0.224782i −0.0269985 + 0.00792746i
\(805\) −0.514161 17.9980i −0.0181218 0.634345i
\(806\) −85.6311 + 48.3581i −3.01623 + 1.70334i
\(807\) −8.12076 + 5.90008i −0.285864 + 0.207692i
\(808\) 0.611476 0.258412i 0.0215117 0.00909090i
\(809\) 9.78481 + 1.69333i 0.344016 + 0.0595342i 0.339912 0.940457i \(-0.389603\pi\)
0.00410385 + 0.999992i \(0.498694\pi\)
\(810\) −0.848896 + 9.88351i −0.0298272 + 0.347271i
\(811\) −3.33138 38.7866i −0.116981 1.36198i −0.785765 0.618525i \(-0.787730\pi\)
0.668784 0.743457i \(-0.266815\pi\)
\(812\) −55.9784 + 9.68744i −1.96446 + 0.339963i
\(813\) 30.0359 19.3029i 1.05340 0.676982i
\(814\) 11.7419 + 16.5523i 0.411554 + 0.580158i
\(815\) 16.7221 + 10.7467i 0.585751 + 0.376439i
\(816\) 36.2465 + 15.3179i 1.26888 + 0.536233i
\(817\) 33.6088 7.81539i 1.17582 0.273426i
\(818\) −14.4862 + 37.2074i −0.506497 + 1.30093i
\(819\) 10.9019 + 18.0787i 0.380942 + 0.631722i
\(820\) −0.941313 + 2.89706i −0.0328721 + 0.101170i
\(821\) 2.62520 3.40442i 0.0916200 0.118815i −0.743861 0.668335i \(-0.767007\pi\)
0.835481 + 0.549520i \(0.185189\pi\)
\(822\) 5.19547 + 13.3445i 0.181213 + 0.465442i
\(823\) −18.2487 26.6879i −0.636111 0.930283i 0.363888 0.931443i \(-0.381449\pi\)
−0.999999 + 0.00115967i \(0.999631\pi\)
\(824\) −0.316761 + 2.20312i −0.0110349 + 0.0767493i
\(825\) −2.49263 3.97690i −0.0867822 0.138458i
\(826\) −5.22122 36.3144i −0.181670 1.26354i
\(827\) −40.6788 + 37.3347i −1.41454 + 1.29825i −0.517939 + 0.855418i \(0.673300\pi\)
−0.896603 + 0.442836i \(0.853972\pi\)
\(828\) −9.05542 0.517808i −0.314698 0.0179951i
\(829\) 1.08775 + 5.36824i 0.0377790 + 0.186447i 0.994528 0.104467i \(-0.0333135\pi\)
−0.956749 + 0.290913i \(0.906041\pi\)
\(830\) 12.8841 10.5353i 0.447213 0.365684i
\(831\) −10.7413 5.28113i −0.372611 0.183201i
\(832\) 38.4298 13.7117i 1.33231 0.475368i
\(833\) 30.1231 + 39.0644i 1.04370 + 1.35350i
\(834\) 16.9110 28.0438i 0.585581 0.971078i
\(835\) 8.58062 + 9.90256i 0.296945 + 0.342692i
\(836\) 24.3919 14.3348i 0.843610 0.495778i
\(837\) 32.9863 38.0682i 1.14017 1.31583i
\(838\) 11.1020 + 34.1685i 0.383513 + 1.18033i
\(839\) 42.2529 + 15.0758i 1.45873 + 0.520475i 0.941982 0.335662i \(-0.108960\pi\)
0.516750 + 0.856137i \(0.327142\pi\)
\(840\) −0.625175 0.643290i −0.0215706 0.0221956i
\(841\) −23.6889 21.7415i −0.816859 0.749706i
\(842\) −16.2775 + 23.8051i −0.560959 + 0.820377i
\(843\) −5.11643 1.18977i −0.176219 0.0409780i
\(844\) 39.0486 + 28.3705i 1.34411 + 0.976553i
\(845\) −18.0326 2.06905i −0.620340 0.0711774i
\(846\) −19.2205 −0.660815
\(847\) 28.0262 30.9014i 0.962991 1.06179i
\(848\) 0.416573 0.0143052
\(849\) 39.8769 + 4.57544i 1.36857 + 0.157029i
\(850\) 10.6959 + 7.77106i 0.366868 + 0.266545i
\(851\) 14.2993 + 3.32517i 0.490175 + 0.113985i
\(852\) 3.39187 4.96045i 0.116204 0.169942i
\(853\) 23.0340 + 21.1404i 0.788668 + 0.723833i 0.965499 0.260408i \(-0.0838571\pi\)
−0.176830 + 0.984241i \(0.556584\pi\)
\(854\) −18.6633 19.2041i −0.638645 0.657150i
\(855\) 4.18325 + 1.49258i 0.143064 + 0.0510452i
\(856\) 0.138613 + 0.426608i 0.00473770 + 0.0145811i
\(857\) −18.3955 + 21.2296i −0.628379 + 0.725189i −0.977276 0.211973i \(-0.932011\pi\)
0.348896 + 0.937161i \(0.386557\pi\)
\(858\) 23.3962 46.2552i 0.798732 1.57913i
\(859\) −25.4076 29.3219i −0.866895 1.00045i −0.999956 0.00934232i \(-0.997026\pi\)
0.133061 0.991108i \(-0.457519\pi\)
\(860\) −7.66447 + 12.7101i −0.261356 + 0.433411i
\(861\) 5.21172 + 6.75867i 0.177615 + 0.230335i
\(862\) −6.95700 + 2.48225i −0.236956 + 0.0845458i
\(863\) 37.8225 + 18.5961i 1.28749 + 0.633017i 0.951152 0.308724i \(-0.0999018\pi\)
0.336340 + 0.941741i \(0.390811\pi\)
\(864\) −34.5999 + 28.2922i −1.17711 + 0.962521i
\(865\) −3.32917 16.4301i −0.113195 0.558640i
\(866\) −33.0460 1.88964i −1.12295 0.0642126i
\(867\) −28.8181 + 26.4491i −0.978716 + 0.898257i
\(868\) −9.20612 64.0300i −0.312476 2.17332i
\(869\) −20.8547 18.4883i −0.707448 0.627172i
\(870\) −3.11643 + 21.6753i −0.105657 + 0.734860i
\(871\) 0.927236 + 1.35604i 0.0314182 + 0.0459476i
\(872\) 0.166151 + 0.426756i 0.00562659 + 0.0144518i
\(873\) 5.16577 6.69909i 0.174835 0.226730i
\(874\) 12.9280 39.7883i 0.437296 1.34586i
\(875\) −1.95845 3.24772i −0.0662075 0.109793i
\(876\) 3.41143 8.76220i 0.115262 0.296047i
\(877\) 16.2317 3.77452i 0.548106 0.127457i 0.0567066 0.998391i \(-0.481940\pi\)
0.491400 + 0.870934i \(0.336485\pi\)
\(878\) −40.0438 16.9227i −1.35141 0.571112i
\(879\) −22.8987 14.7161i −0.772355 0.496363i
\(880\) 3.27839 13.4081i 0.110514 0.451989i
\(881\) 4.29292 2.75889i 0.144632 0.0929494i −0.466323 0.884614i \(-0.654422\pi\)
0.610956 + 0.791665i \(0.290785\pi\)
\(882\) −14.3577 + 2.48470i −0.483450 + 0.0836643i
\(883\) 2.04926 + 23.8591i 0.0689630 + 0.802921i 0.946351 + 0.323140i \(0.104738\pi\)
−0.877388 + 0.479781i \(0.840716\pi\)
\(884\) −6.11277 + 71.1697i −0.205595 + 2.39369i
\(885\) −6.81698 1.17972i −0.229150 0.0396560i
\(886\) −37.4273 + 15.8169i −1.25739 + 0.531379i
\(887\) 30.2831 22.0020i 1.01681 0.738754i 0.0511816 0.998689i \(-0.483701\pi\)
0.965626 + 0.259935i \(0.0837013\pi\)
\(888\) 0.636869 0.359657i 0.0213719 0.0120693i
\(889\) 0.389672 + 13.6403i 0.0130692 + 0.457481i
\(890\) 1.61795 0.475073i 0.0542338 0.0159245i
\(891\) −2.08222 + 16.4959i −0.0697570 + 0.552633i
\(892\) 22.9052 + 6.72556i 0.766922 + 0.225188i
\(893\) 11.0256 41.9457i 0.368958 1.40366i
\(894\) −2.79295 + 13.7838i −0.0934103 + 0.460998i
\(895\) −7.40802 14.0398i −0.247623 0.469298i
\(896\) 0.144680 5.06445i 0.00483341 0.169191i
\(897\) −9.53271 36.2662i −0.318288 1.21089i
\(898\) 2.58976 0.148088i 0.0864216 0.00494176i
\(899\) 48.5304 49.9367i 1.61858 1.66548i
\(900\) −1.71447 + 0.842948i −0.0571490 + 0.0280983i
\(901\) −0.277817 + 0.608334i −0.00925542 + 0.0202665i
\(902\) −3.61824 + 9.78919i −0.120474 + 0.325944i
\(903\) 17.2750 + 37.8270i 0.574877 + 1.25881i
\(904\) −2.05209 1.67799i −0.0682516 0.0558091i
\(905\) −11.9692 + 22.6841i −0.397869 + 0.754046i
\(906\) −47.3325 26.7299i −1.57252 0.888041i
\(907\) −38.2470 + 4.38843i −1.26997 + 0.145716i −0.722654 0.691210i \(-0.757078\pi\)
−0.547317 + 0.836926i \(0.684351\pi\)
\(908\) −43.7909 + 5.02454i −1.45325 + 0.166745i
\(909\) −3.44928 1.94790i −0.114405 0.0646077i
\(910\) 19.5463 37.0444i 0.647955 1.22801i
\(911\) −9.63961 7.88227i −0.319375 0.261151i 0.459711 0.888068i \(-0.347953\pi\)
−0.779086 + 0.626917i \(0.784317\pi\)
\(912\) −10.8954 23.8577i −0.360784 0.790006i
\(913\) 22.2820 16.7831i 0.737425 0.555440i
\(914\) −28.4155 + 62.2212i −0.939900 + 2.05809i
\(915\) −4.53166 + 2.22807i −0.149812 + 0.0736577i
\(916\) −32.1748 + 33.1071i −1.06308 + 1.09389i
\(917\) 39.4996 2.25867i 1.30439 0.0745878i
\(918\) −19.0127 72.3317i −0.627511 2.38730i
\(919\) 0.866877 30.3447i 0.0285956 1.00098i −0.850974 0.525208i \(-0.823988\pi\)
0.879570 0.475770i \(-0.157831\pi\)
\(920\) −0.370306 0.701807i −0.0122086 0.0231379i
\(921\) 1.42290 7.02228i 0.0468861 0.231392i
\(922\) 12.2370 46.5545i 0.403005 1.53319i
\(923\) −11.8715 3.48578i −0.390755 0.114736i
\(924\) 22.7695 + 25.3800i 0.749063 + 0.834941i
\(925\) 2.96702 0.871195i 0.0975549 0.0286447i
\(926\) −0.456806 15.9903i −0.0150116 0.525474i
\(927\) 11.5650 6.53108i 0.379846 0.214509i
\(928\) −49.9861 + 36.3170i −1.64087 + 1.19216i
\(929\) −7.32716 + 3.09648i −0.240396 + 0.101592i −0.506140 0.862451i \(-0.668928\pi\)
0.265744 + 0.964044i \(0.414383\pi\)
\(930\) −24.5696 4.25193i −0.805668 0.139426i
\(931\) 2.81365 32.7588i 0.0922138 1.07363i
\(932\) −3.45042 40.1725i −0.113022 1.31590i
\(933\) −13.3700 + 2.31376i −0.437713 + 0.0757491i
\(934\) −12.7574 + 8.19871i −0.417436 + 0.268270i
\(935\) 17.3939 + 13.7295i 0.568842 + 0.449004i
\(936\) 0.782702 + 0.503012i 0.0255834 + 0.0164415i
\(937\) −48.8262 20.6341i −1.59508 0.674088i −0.602778 0.797909i \(-0.705940\pi\)
−0.992305 + 0.123821i \(0.960485\pi\)
\(938\) −2.15140 + 0.500288i −0.0702458 + 0.0163350i
\(939\) −5.52014 + 14.1784i −0.180143 + 0.462694i
\(940\) 9.63360 + 15.9755i 0.314213 + 0.521065i
\(941\) −8.28171 + 25.4885i −0.269976 + 0.830901i 0.720529 + 0.693425i \(0.243899\pi\)
−0.990505 + 0.137476i \(0.956101\pi\)
\(942\) −6.06405 + 7.86400i −0.197577 + 0.256223i
\(943\) 2.73912 + 7.03538i 0.0891981 + 0.229104i
\(944\) −11.4842 16.7951i −0.373779 0.546634i
\(945\) −3.05318 + 21.2353i −0.0993199 + 0.690785i
\(946\) −27.9748 + 42.4646i −0.909539 + 1.38064i
\(947\) 8.32965 + 57.9340i 0.270677 + 1.88260i 0.441442 + 0.897290i \(0.354467\pi\)
−0.170764 + 0.985312i \(0.554624\pi\)
\(948\) 16.7821 15.4025i 0.545057 0.500248i
\(949\) −19.3284 1.10524i −0.627427 0.0358776i
\(950\) −1.74998 8.63651i −0.0567770 0.280206i
\(951\) 3.19514 2.61266i 0.103610 0.0847212i
\(952\) 3.80065 + 1.86866i 0.123180 + 0.0605635i
\(953\) −4.36359 + 1.55693i −0.141350 + 0.0504338i −0.405777 0.913972i \(-0.632999\pi\)
0.264427 + 0.964406i \(0.414817\pi\)
\(954\) −0.120629 0.156434i −0.00390550 0.00506475i
\(955\) −9.58688 + 15.8981i −0.310224 + 0.514449i
\(956\) 10.9423 + 12.6281i 0.353900 + 0.408422i
\(957\) −6.66787 + 36.0928i −0.215542 + 1.16671i
\(958\) 16.3287 18.8443i 0.527555 0.608831i
\(959\) 5.99325 + 18.4453i 0.193532 + 0.595630i
\(960\) 9.74391 + 3.47662i 0.314483 + 0.112207i
\(961\) 33.6551 + 34.6303i 1.08565 + 1.11711i
\(962\) 25.1608 + 23.0924i 0.811216 + 0.744527i
\(963\) 1.51084 2.20953i 0.0486860 0.0712010i
\(964\) 12.9258 + 3.00576i 0.416311 + 0.0968089i
\(965\) −10.2931 7.47838i −0.331347 0.240738i
\(966\) 50.0907 + 5.74737i 1.61164 + 0.184919i
\(967\) −36.6261 −1.17781 −0.588907 0.808201i \(-0.700442\pi\)
−0.588907 + 0.808201i \(0.700442\pi\)
\(968\) 0.507534 1.76710i 0.0163128 0.0567966i
\(969\) 42.1063 1.35265
\(970\) −16.6742 1.91319i −0.535377 0.0614288i
\(971\) 29.3609 + 21.3320i 0.942237 + 0.684575i 0.948958 0.315402i \(-0.102139\pi\)
−0.00672118 + 0.999977i \(0.502139\pi\)
\(972\) 18.4265 + 4.28491i 0.591032 + 0.137439i
\(973\) 25.0344 36.6117i 0.802567 1.17372i
\(974\) −33.5595 30.8006i −1.07532 0.986916i
\(975\) −5.50465 5.66415i −0.176290 0.181398i
\(976\) −13.9872 4.99063i −0.447720 0.159746i
\(977\) −13.2926 40.9103i −0.425267 1.30884i −0.902738 0.430190i \(-0.858446\pi\)
0.477471 0.878647i \(-0.341554\pi\)
\(978\) −36.4511 + 42.0668i −1.16558 + 1.34515i
\(979\) 2.74144 0.687510i 0.0876169 0.0219729i
\(980\) 9.26152 + 10.6884i 0.295848 + 0.341427i
\(981\) 1.41119 2.34020i 0.0450559 0.0747168i
\(982\) −25.9291 33.6255i −0.827432 1.07303i
\(983\) 12.0858 4.31221i 0.385478 0.137538i −0.136199 0.990682i \(-0.543489\pi\)
0.521677 + 0.853143i \(0.325307\pi\)
\(984\) 0.337542 + 0.165958i 0.0107604 + 0.00529055i
\(985\) −0.186758 + 0.152711i −0.00595061 + 0.00486579i
\(986\) −20.5320 101.329i −0.653872 3.22698i
\(987\) 52.1836 + 2.98397i 1.66102 + 0.0949807i
\(988\) 35.0768 32.1932i 1.11594 1.02420i
\(989\) 5.23519 + 36.4115i 0.166469 + 1.15782i
\(990\) −5.98445 + 2.65153i −0.190198 + 0.0842712i
\(991\) 5.68456 39.5370i 0.180576 1.25593i −0.674829 0.737974i \(-0.735783\pi\)
0.855405 0.517960i \(-0.173308\pi\)
\(992\) −39.7109 58.0753i −1.26082 1.84389i
\(993\) 0.137431 + 0.352987i 0.00436123 + 0.0112017i
\(994\) 10.1588 13.1742i 0.322217 0.417859i
\(995\) −0.524062 + 1.61290i −0.0166139 + 0.0511322i
\(996\) 11.7737 + 19.5245i 0.373063 + 0.618656i
\(997\) −4.05092 + 10.4047i −0.128294 + 0.329520i −0.981330 0.192332i \(-0.938395\pi\)
0.853036 + 0.521852i \(0.174759\pi\)
\(998\) 17.3759 4.04059i 0.550024 0.127903i
\(999\) −16.1128 6.80933i −0.509786 0.215438i
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 605.2.s.a.16.5 880
121.53 even 55 inner 605.2.s.a.416.5 yes 880
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.s.a.16.5 880 1.1 even 1 trivial
605.2.s.a.416.5 yes 880 121.53 even 55 inner