Properties

Label 304.2.bi.a.237.27
Level $304$
Weight $2$
Character 304.237
Analytic conductor $2.427$
Analytic rank $0$
Dimension $456$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [304,2,Mod(5,304)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(304, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([0, 9, 32]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("304.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 304 = 2^{4} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 304.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.42745222145\)
Analytic rank: \(0\)
Dimension: \(456\)
Relative dimension: \(38\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 237.27
Character \(\chi\) \(=\) 304.237
Dual form 304.2.bi.a.245.27

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.818198 + 1.15350i) q^{2} +(0.729066 + 0.0637850i) q^{3} +(-0.661104 + 1.88758i) q^{4} +(1.85696 - 0.865914i) q^{5} +(0.522944 + 0.893163i) q^{6} +(0.692403 + 0.399759i) q^{7} +(-2.71822 + 0.781830i) q^{8} +(-2.42695 - 0.427938i) q^{9} +O(q^{10})\) \(q+(0.818198 + 1.15350i) q^{2} +(0.729066 + 0.0637850i) q^{3} +(-0.661104 + 1.88758i) q^{4} +(1.85696 - 0.865914i) q^{5} +(0.522944 + 0.893163i) q^{6} +(0.692403 + 0.399759i) q^{7} +(-2.71822 + 0.781830i) q^{8} +(-2.42695 - 0.427938i) q^{9} +(2.51819 + 1.43350i) q^{10} +(4.45927 + 1.19486i) q^{11} +(-0.602387 + 1.33400i) q^{12} +(0.228784 + 2.61502i) q^{13} +(0.105403 + 1.12577i) q^{14} +(1.40908 - 0.512862i) q^{15} +(-3.12588 - 2.49577i) q^{16} +(0.295231 + 1.67434i) q^{17} +(-1.49211 - 3.14962i) q^{18} +(-0.748367 - 4.29418i) q^{19} +(0.406835 + 4.07761i) q^{20} +(0.479309 + 0.335616i) q^{21} +(2.27030 + 6.12138i) q^{22} +(-2.72488 - 7.48655i) q^{23} +(-2.03163 + 0.396624i) q^{24} +(-0.515452 + 0.614292i) q^{25} +(-2.82922 + 2.40350i) q^{26} +(-3.86285 - 1.03505i) q^{27} +(-1.21233 + 1.04268i) q^{28} +(-2.69398 + 1.88634i) q^{29} +(1.74449 + 1.20574i) q^{30} +(0.290046 - 0.502374i) q^{31} +(0.321265 - 5.64772i) q^{32} +(3.17489 + 1.15557i) q^{33} +(-1.68979 + 1.71049i) q^{34} +(1.63192 + 0.142775i) q^{35} +(2.41223 - 4.29815i) q^{36} +(2.32388 - 2.32388i) q^{37} +(4.34100 - 4.37672i) q^{38} +1.92111i q^{39} +(-4.37063 + 3.80557i) q^{40} +(5.98472 + 7.13231i) q^{41} +(0.00503838 + 0.827481i) q^{42} +(-3.98419 + 1.85786i) q^{43} +(-5.20343 + 7.62729i) q^{44} +(-4.87731 + 1.30687i) q^{45} +(6.40621 - 9.26862i) q^{46} +(1.42756 - 8.09607i) q^{47} +(-2.11978 - 2.01896i) q^{48} +(-3.18039 - 5.50859i) q^{49} +(-1.13033 - 0.0919593i) q^{50} +(0.108445 + 1.23953i) q^{51} +(-5.08729 - 1.29695i) q^{52} +(3.43274 - 7.36154i) q^{53} +(-1.96666 - 5.30266i) q^{54} +(9.31533 - 1.64254i) q^{55} +(-2.19465 - 0.545293i) q^{56} +(-0.271705 - 3.17847i) q^{57} +(-4.38010 - 1.56409i) q^{58} +(-4.02965 - 2.82159i) q^{59} +(0.0365196 + 2.99879i) q^{60} +(-6.41040 - 2.98922i) q^{61} +(0.816801 - 0.0764749i) q^{62} +(-1.50936 - 1.26650i) q^{63} +(6.77748 - 4.25038i) q^{64} +(2.68922 + 4.65787i) q^{65} +(1.26475 + 4.60770i) q^{66} +(1.01356 - 0.709700i) q^{67} +(-3.35562 - 0.549641i) q^{68} +(-1.50909 - 5.63199i) q^{69} +(1.17054 + 1.99923i) q^{70} +(-2.51889 + 6.92060i) q^{71} +(6.93158 - 0.734236i) q^{72} +(4.15244 + 4.94868i) q^{73} +(4.58198 + 0.779190i) q^{74} +(-0.414981 + 0.414981i) q^{75} +(8.60033 + 1.42630i) q^{76} +(2.60996 + 2.60996i) q^{77} +(-2.21600 + 1.57185i) q^{78} +(12.6654 - 10.6275i) q^{79} +(-7.96575 - 1.92779i) q^{80} +(4.19707 + 1.52761i) q^{81} +(-3.33040 + 12.7390i) q^{82} +(-3.72178 + 0.997247i) q^{83} +(-0.950373 + 0.682855i) q^{84} +(1.99807 + 2.85353i) q^{85} +(-5.40288 - 3.07565i) q^{86} +(-2.08441 + 1.20343i) q^{87} +(-13.0555 + 0.238501i) q^{88} +(-8.21446 + 9.78961i) q^{89} +(-5.49808 - 4.55668i) q^{90} +(-0.886966 + 1.90211i) q^{91} +(15.9329 - 0.194032i) q^{92} +(0.243506 - 0.347763i) q^{93} +(10.5068 - 4.97751i) q^{94} +(-5.10807 - 7.32608i) q^{95} +(0.594463 - 4.09707i) q^{96} +(2.38251 + 13.5119i) q^{97} +(3.75195 - 8.17568i) q^{98} +(-10.3111 - 4.80816i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 456 q - 12 q^{2} - 12 q^{3} - 12 q^{4} - 12 q^{5} - 12 q^{6} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 456 q - 12 q^{2} - 12 q^{3} - 12 q^{4} - 12 q^{5} - 12 q^{6} - 6 q^{8} - 18 q^{10} - 6 q^{11} - 6 q^{12} - 12 q^{13} - 24 q^{14} - 24 q^{15} - 24 q^{16} - 24 q^{17} - 24 q^{18} - 12 q^{19} - 24 q^{20} - 30 q^{21} - 12 q^{22} - 12 q^{24} - 54 q^{26} - 6 q^{27} - 36 q^{28} - 12 q^{29} + 36 q^{30} + 60 q^{31} - 42 q^{32} - 24 q^{33} - 72 q^{34} - 42 q^{35} - 60 q^{36} - 24 q^{37} + 102 q^{38} + 18 q^{40} - 168 q^{42} - 12 q^{43} + 54 q^{44} - 6 q^{45} + 24 q^{46} - 24 q^{47} - 12 q^{48} + 144 q^{49} - 24 q^{50} + 12 q^{51} + 36 q^{52} - 12 q^{53} + 102 q^{54} - 108 q^{56} - 24 q^{58} - 12 q^{59} + 30 q^{60} - 12 q^{61} - 108 q^{63} - 6 q^{64} - 12 q^{65} - 72 q^{66} - 12 q^{67} + 30 q^{68} - 54 q^{69} + 18 q^{70} - 144 q^{72} - 96 q^{74} - 192 q^{75} - 60 q^{76} - 108 q^{77} - 60 q^{78} - 24 q^{79} + 48 q^{80} - 24 q^{81} + 48 q^{82} - 6 q^{83} - 90 q^{84} + 84 q^{85} - 12 q^{86} - 6 q^{88} + 96 q^{90} - 54 q^{91} - 12 q^{92} + 6 q^{93} + 60 q^{94} - 24 q^{95} + 84 q^{96} - 24 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(191\) \(229\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.818198 + 1.15350i 0.578553 + 0.815645i
\(3\) 0.729066 + 0.0637850i 0.420926 + 0.0368263i 0.295652 0.955296i \(-0.404463\pi\)
0.125275 + 0.992122i \(0.460019\pi\)
\(4\) −0.661104 + 1.88758i −0.330552 + 0.943788i
\(5\) 1.85696 0.865914i 0.830457 0.387248i 0.0395744 0.999217i \(-0.487400\pi\)
0.790882 + 0.611968i \(0.209622\pi\)
\(6\) 0.522944 + 0.893163i 0.213491 + 0.364632i
\(7\) 0.692403 + 0.399759i 0.261704 + 0.151095i 0.625112 0.780535i \(-0.285053\pi\)
−0.363408 + 0.931630i \(0.618387\pi\)
\(8\) −2.71822 + 0.781830i −0.961037 + 0.276419i
\(9\) −2.42695 0.427938i −0.808985 0.142646i
\(10\) 2.51819 + 1.43350i 0.796321 + 0.453314i
\(11\) 4.45927 + 1.19486i 1.34452 + 0.360263i 0.858110 0.513466i \(-0.171639\pi\)
0.486412 + 0.873730i \(0.338306\pi\)
\(12\) −0.602387 + 1.33400i −0.173894 + 0.385092i
\(13\) 0.228784 + 2.61502i 0.0634534 + 0.725275i 0.959572 + 0.281462i \(0.0908193\pi\)
−0.896119 + 0.443814i \(0.853625\pi\)
\(14\) 0.105403 + 1.12577i 0.0281700 + 0.300874i
\(15\) 1.40908 0.512862i 0.363822 0.132420i
\(16\) −3.12588 2.49577i −0.781471 0.623942i
\(17\) 0.295231 + 1.67434i 0.0716041 + 0.406087i 0.999451 + 0.0331262i \(0.0105463\pi\)
−0.927847 + 0.372961i \(0.878343\pi\)
\(18\) −1.49211 3.14962i −0.351693 0.742372i
\(19\) −0.748367 4.29418i −0.171687 0.985152i
\(20\) 0.406835 + 4.07761i 0.0909712 + 0.911781i
\(21\) 0.479309 + 0.335616i 0.104594 + 0.0732373i
\(22\) 2.27030 + 6.12138i 0.484030 + 1.30508i
\(23\) −2.72488 7.48655i −0.568177 1.56105i −0.807347 0.590076i \(-0.799098\pi\)
0.239170 0.970978i \(-0.423125\pi\)
\(24\) −2.03163 + 0.396624i −0.414705 + 0.0809605i
\(25\) −0.515452 + 0.614292i −0.103090 + 0.122858i
\(26\) −2.82922 + 2.40350i −0.554856 + 0.471366i
\(27\) −3.86285 1.03505i −0.743407 0.199195i
\(28\) −1.21233 + 1.04268i −0.229108 + 0.197048i
\(29\) −2.69398 + 1.88634i −0.500259 + 0.350285i −0.796312 0.604886i \(-0.793219\pi\)
0.296053 + 0.955172i \(0.404330\pi\)
\(30\) 1.74449 + 1.20574i 0.318498 + 0.220137i
\(31\) 0.290046 0.502374i 0.0520938 0.0902290i −0.838803 0.544436i \(-0.816744\pi\)
0.890896 + 0.454207i \(0.150077\pi\)
\(32\) 0.321265 5.64772i 0.0567921 0.998386i
\(33\) 3.17489 + 1.15557i 0.552677 + 0.201158i
\(34\) −1.68979 + 1.71049i −0.289796 + 0.293346i
\(35\) 1.63192 + 0.142775i 0.275845 + 0.0241333i
\(36\) 2.41223 4.29815i 0.402039 0.716358i
\(37\) 2.32388 2.32388i 0.382043 0.382043i −0.489795 0.871838i \(-0.662928\pi\)
0.871838 + 0.489795i \(0.162928\pi\)
\(38\) 4.34100 4.37672i 0.704203 0.709998i
\(39\) 1.92111i 0.307624i
\(40\) −4.37063 + 3.80557i −0.691057 + 0.601714i
\(41\) 5.98472 + 7.13231i 0.934656 + 1.11388i 0.993296 + 0.115600i \(0.0368791\pi\)
−0.0586401 + 0.998279i \(0.518676\pi\)
\(42\) 0.00503838 + 0.827481i 0.000777440 + 0.127683i
\(43\) −3.98419 + 1.85786i −0.607583 + 0.283320i −0.701960 0.712216i \(-0.747692\pi\)
0.0943778 + 0.995536i \(0.469914\pi\)
\(44\) −5.20343 + 7.62729i −0.784446 + 1.14986i
\(45\) −4.87731 + 1.30687i −0.727066 + 0.194817i
\(46\) 6.40621 9.26862i 0.944544 1.36658i
\(47\) 1.42756 8.09607i 0.208230 1.18093i −0.684044 0.729441i \(-0.739780\pi\)
0.892275 0.451493i \(-0.149108\pi\)
\(48\) −2.11978 2.01896i −0.305964 0.291412i
\(49\) −3.18039 5.50859i −0.454341 0.786941i
\(50\) −1.13033 0.0919593i −0.159852 0.0130050i
\(51\) 0.108445 + 1.23953i 0.0151854 + 0.173570i
\(52\) −5.08729 1.29695i −0.705481 0.179855i
\(53\) 3.43274 7.36154i 0.471523 1.01119i −0.516415 0.856338i \(-0.672734\pi\)
0.987938 0.154847i \(-0.0494884\pi\)
\(54\) −1.96666 5.30266i −0.267628 0.721601i
\(55\) 9.31533 1.64254i 1.25608 0.221480i
\(56\) −2.19465 0.545293i −0.293273 0.0728679i
\(57\) −0.271705 3.17847i −0.0359882 0.420999i
\(58\) −4.38010 1.56409i −0.575135 0.205375i
\(59\) −4.02965 2.82159i −0.524615 0.367340i 0.281066 0.959688i \(-0.409312\pi\)
−0.805682 + 0.592349i \(0.798201\pi\)
\(60\) 0.0365196 + 2.99879i 0.00471466 + 0.387143i
\(61\) −6.41040 2.98922i −0.820768 0.382730i −0.0335742 0.999436i \(-0.510689\pi\)
−0.787194 + 0.616706i \(0.788467\pi\)
\(62\) 0.816801 0.0764749i 0.103734 0.00971233i
\(63\) −1.50936 1.26650i −0.190161 0.159564i
\(64\) 6.77748 4.25038i 0.847185 0.531297i
\(65\) 2.68922 + 4.65787i 0.333557 + 0.577738i
\(66\) 1.26475 + 4.60770i 0.155680 + 0.567169i
\(67\) 1.01356 0.709700i 0.123826 0.0867037i −0.510023 0.860161i \(-0.670363\pi\)
0.633849 + 0.773457i \(0.281474\pi\)
\(68\) −3.35562 0.549641i −0.406929 0.0666538i
\(69\) −1.50909 5.63199i −0.181673 0.678013i
\(70\) 1.17054 + 1.99923i 0.139907 + 0.238954i
\(71\) −2.51889 + 6.92060i −0.298938 + 0.821324i 0.695741 + 0.718293i \(0.255076\pi\)
−0.994678 + 0.103031i \(0.967146\pi\)
\(72\) 6.93158 0.734236i 0.816895 0.0865306i
\(73\) 4.15244 + 4.94868i 0.486006 + 0.579200i 0.952197 0.305485i \(-0.0988184\pi\)
−0.466191 + 0.884684i \(0.654374\pi\)
\(74\) 4.58198 + 0.779190i 0.532644 + 0.0905791i
\(75\) −0.414981 + 0.414981i −0.0479179 + 0.0479179i
\(76\) 8.60033 + 1.42630i 0.986526 + 0.163608i
\(77\) 2.60996 + 2.60996i 0.297432 + 0.297432i
\(78\) −2.21600 + 1.57185i −0.250912 + 0.177977i
\(79\) 12.6654 10.6275i 1.42496 1.19569i 0.476348 0.879257i \(-0.341960\pi\)
0.948616 0.316430i \(-0.102484\pi\)
\(80\) −7.96575 1.92779i −0.890598 0.215533i
\(81\) 4.19707 + 1.52761i 0.466341 + 0.169734i
\(82\) −3.33040 + 12.7390i −0.367781 + 1.40679i
\(83\) −3.72178 + 0.997247i −0.408518 + 0.109462i −0.457225 0.889351i \(-0.651157\pi\)
0.0487071 + 0.998813i \(0.484490\pi\)
\(84\) −0.950373 + 0.682855i −0.103694 + 0.0745056i
\(85\) 1.99807 + 2.85353i 0.216721 + 0.309509i
\(86\) −5.40288 3.07565i −0.582608 0.331655i
\(87\) −2.08441 + 1.20343i −0.223472 + 0.129022i
\(88\) −13.0555 + 0.238501i −1.39172 + 0.0254243i
\(89\) −8.21446 + 9.78961i −0.870731 + 1.03770i 0.128212 + 0.991747i \(0.459076\pi\)
−0.998944 + 0.0459504i \(0.985368\pi\)
\(90\) −5.49808 4.55668i −0.579548 0.480316i
\(91\) −0.886966 + 1.90211i −0.0929793 + 0.199395i
\(92\) 15.9329 0.194032i 1.66112 0.0202292i
\(93\) 0.243506 0.347763i 0.0252504 0.0360614i
\(94\) 10.5068 4.97751i 1.08369 0.513391i
\(95\) −5.10807 7.32608i −0.524077 0.751640i
\(96\) 0.594463 4.09707i 0.0606721 0.418155i
\(97\) 2.38251 + 13.5119i 0.241907 + 1.37192i 0.827568 + 0.561365i \(0.189724\pi\)
−0.585661 + 0.810556i \(0.699165\pi\)
\(98\) 3.75195 8.17568i 0.379004 0.825868i
\(99\) −10.3111 4.80816i −1.03631 0.483238i
\(100\) −0.818755 1.37907i −0.0818755 0.137907i
\(101\) −7.53087 + 0.658866i −0.749350 + 0.0655596i −0.455431 0.890271i \(-0.650515\pi\)
−0.293918 + 0.955831i \(0.594959\pi\)
\(102\) −1.34107 + 1.13928i −0.132786 + 0.112805i
\(103\) 9.59088 5.53730i 0.945018 0.545606i 0.0534880 0.998568i \(-0.482966\pi\)
0.891530 + 0.452962i \(0.149633\pi\)
\(104\) −2.66639 6.92933i −0.261461 0.679477i
\(105\) 1.18067 + 0.208184i 0.115222 + 0.0203167i
\(106\) 11.3002 2.06354i 1.09757 0.200429i
\(107\) 3.61610 + 13.4955i 0.349582 + 1.30466i 0.887167 + 0.461448i \(0.152670\pi\)
−0.537585 + 0.843209i \(0.680663\pi\)
\(108\) 4.50748 6.60715i 0.433733 0.635774i
\(109\) −1.47818 3.16997i −0.141584 0.303628i 0.822710 0.568461i \(-0.192461\pi\)
−0.964294 + 0.264833i \(0.914683\pi\)
\(110\) 9.51645 + 9.40126i 0.907358 + 0.896375i
\(111\) 1.84249 1.54603i 0.174881 0.146743i
\(112\) −1.16667 2.97768i −0.110240 0.281364i
\(113\) −17.3764 −1.63464 −0.817319 0.576185i \(-0.804541\pi\)
−0.817319 + 0.576185i \(0.804541\pi\)
\(114\) 3.44404 2.91403i 0.322564 0.272924i
\(115\) −11.5427 11.5427i −1.07636 1.07636i
\(116\) −1.77962 6.33216i −0.165233 0.587926i
\(117\) 0.563815 6.44444i 0.0521247 0.595788i
\(118\) −0.0423587 6.95680i −0.00389944 0.640425i
\(119\) −0.464914 + 1.27734i −0.0426186 + 0.117094i
\(120\) −3.42921 + 2.49573i −0.313043 + 0.227828i
\(121\) 8.93115 + 5.15640i 0.811922 + 0.468764i
\(122\) −1.79693 9.84014i −0.162686 0.890885i
\(123\) 3.90832 + 5.58166i 0.352401 + 0.503281i
\(124\) 0.756519 + 0.879605i 0.0679374 + 0.0789908i
\(125\) −3.07675 + 11.4826i −0.275193 + 1.02704i
\(126\) 0.225951 2.77729i 0.0201293 0.247421i
\(127\) 1.80837 + 1.51740i 0.160467 + 0.134647i 0.719486 0.694507i \(-0.244378\pi\)
−0.559019 + 0.829155i \(0.688822\pi\)
\(128\) 10.4481 + 4.34014i 0.923492 + 0.383618i
\(129\) −3.02324 + 1.10037i −0.266181 + 0.0968820i
\(130\) −3.17252 + 6.91307i −0.278248 + 0.606316i
\(131\) 1.35668 1.93753i 0.118533 0.169283i −0.755501 0.655148i \(-0.772606\pi\)
0.874034 + 0.485865i \(0.161495\pi\)
\(132\) −4.28015 + 5.22889i −0.372539 + 0.455117i
\(133\) 1.19846 3.27247i 0.103920 0.283759i
\(134\) 1.64793 + 0.588458i 0.142359 + 0.0508350i
\(135\) −8.06942 + 1.42286i −0.694505 + 0.122460i
\(136\) −2.11155 4.32041i −0.181064 0.370472i
\(137\) 5.25770 + 14.4454i 0.449195 + 1.23415i 0.933285 + 0.359136i \(0.116929\pi\)
−0.484090 + 0.875018i \(0.660849\pi\)
\(138\) 5.26175 6.34881i 0.447910 0.540447i
\(139\) −2.56397 + 0.224318i −0.217473 + 0.0190264i −0.195371 0.980729i \(-0.562591\pi\)
−0.0221014 + 0.999756i \(0.507036\pi\)
\(140\) −1.34837 + 2.98598i −0.113958 + 0.252362i
\(141\) 1.55719 5.81151i 0.131139 0.489418i
\(142\) −10.0438 + 2.75689i −0.842860 + 0.231353i
\(143\) −2.10436 + 11.9344i −0.175976 + 0.998008i
\(144\) 6.51834 + 7.39480i 0.543195 + 0.616233i
\(145\) −3.36919 + 5.83561i −0.279796 + 0.484621i
\(146\) −2.31077 + 8.83882i −0.191240 + 0.731506i
\(147\) −1.96734 4.21898i −0.162264 0.347976i
\(148\) 2.85017 + 5.92282i 0.234283 + 0.486853i
\(149\) −1.41786 + 16.2062i −0.116156 + 1.32767i 0.684707 + 0.728819i \(0.259930\pi\)
−0.800863 + 0.598848i \(0.795625\pi\)
\(150\) −0.818216 0.139142i −0.0668071 0.0113609i
\(151\) 10.5071i 0.855059i 0.904001 + 0.427529i \(0.140616\pi\)
−0.904001 + 0.427529i \(0.859384\pi\)
\(152\) 5.39155 + 11.0874i 0.437312 + 0.899310i
\(153\) 4.18989i 0.338732i
\(154\) −0.875113 + 5.14604i −0.0705186 + 0.414680i
\(155\) 0.103590 1.18404i 0.00832057 0.0951045i
\(156\) −3.62625 1.27006i −0.290332 0.101686i
\(157\) −9.01540 19.3336i −0.719507 1.54299i −0.835349 0.549720i \(-0.814734\pi\)
0.115841 0.993268i \(-0.463044\pi\)
\(158\) 22.6215 + 5.91404i 1.79967 + 0.470495i
\(159\) 2.97225 5.14809i 0.235715 0.408270i
\(160\) −4.29387 10.7658i −0.339460 0.851109i
\(161\) 1.10610 6.27301i 0.0871729 0.494382i
\(162\) 1.67194 + 6.09118i 0.131360 + 0.478568i
\(163\) −0.171729 + 0.640901i −0.0134508 + 0.0501992i −0.972325 0.233632i \(-0.924939\pi\)
0.958874 + 0.283831i \(0.0916056\pi\)
\(164\) −17.4193 + 6.58141i −1.36022 + 0.513922i
\(165\) 6.89625 0.603344i 0.536873 0.0469703i
\(166\) −4.19547 3.47711i −0.325632 0.269876i
\(167\) 1.94592 + 5.34636i 0.150579 + 0.413714i 0.991932 0.126774i \(-0.0404622\pi\)
−0.841352 + 0.540487i \(0.818240\pi\)
\(168\) −1.56526 0.537540i −0.120763 0.0414721i
\(169\) 6.01652 1.06088i 0.462810 0.0816058i
\(170\) −1.65672 + 4.63951i −0.127065 + 0.355835i
\(171\) −0.0213867 + 10.7420i −0.00163548 + 0.821463i
\(172\) −0.872883 8.74869i −0.0665567 0.667081i
\(173\) −11.7650 + 16.8022i −0.894478 + 1.27745i 0.0656378 + 0.997844i \(0.479092\pi\)
−0.960116 + 0.279603i \(0.909797\pi\)
\(174\) −3.09361 1.41971i −0.234526 0.107628i
\(175\) −0.602470 + 0.219281i −0.0455424 + 0.0165761i
\(176\) −10.9571 14.8643i −0.825921 1.12044i
\(177\) −2.75790 2.31416i −0.207297 0.173943i
\(178\) −18.0133 1.46550i −1.35016 0.109844i
\(179\) −5.82852 + 21.7523i −0.435644 + 1.62585i 0.303876 + 0.952712i \(0.401719\pi\)
−0.739520 + 0.673134i \(0.764948\pi\)
\(180\) 0.757590 10.0703i 0.0564675 0.750594i
\(181\) −6.32530 9.03346i −0.470156 0.671452i 0.512116 0.858917i \(-0.328862\pi\)
−0.982271 + 0.187464i \(0.939973\pi\)
\(182\) −2.91978 + 0.533187i −0.216429 + 0.0395225i
\(183\) −4.48294 2.58822i −0.331388 0.191327i
\(184\) 13.2601 + 18.2197i 0.977544 + 1.34318i
\(185\) 2.30307 6.32762i 0.169325 0.465216i
\(186\) 0.600380 0.00365561i 0.0440220 0.000268042i
\(187\) −0.684082 + 7.81910i −0.0500251 + 0.571789i
\(188\) 14.3382 + 8.04697i 1.04572 + 0.586885i
\(189\) −2.26088 2.26088i −0.164455 0.164455i
\(190\) 4.27119 11.8863i 0.309865 0.862325i
\(191\) 12.5320 0.906781 0.453390 0.891312i \(-0.350214\pi\)
0.453390 + 0.891312i \(0.350214\pi\)
\(192\) 5.21234 2.66650i 0.376168 0.192438i
\(193\) 12.1103 10.1617i 0.871717 0.731457i −0.0927419 0.995690i \(-0.529563\pi\)
0.964459 + 0.264233i \(0.0851187\pi\)
\(194\) −13.6365 + 13.8036i −0.979044 + 0.991040i
\(195\) 1.66352 + 3.56743i 0.119127 + 0.255469i
\(196\) 12.5004 2.36147i 0.892889 0.168676i
\(197\) −0.743887 2.77622i −0.0529997 0.197798i 0.934350 0.356358i \(-0.115982\pi\)
−0.987349 + 0.158560i \(0.949315\pi\)
\(198\) −2.89036 15.8279i −0.205409 1.12484i
\(199\) 2.32212 + 0.409453i 0.164611 + 0.0290254i 0.255346 0.966850i \(-0.417811\pi\)
−0.0907352 + 0.995875i \(0.528922\pi\)
\(200\) 0.920843 2.07278i 0.0651134 0.146568i
\(201\) 0.784218 0.452768i 0.0553145 0.0319358i
\(202\) −6.92174 8.14774i −0.487012 0.573273i
\(203\) −2.61940 + 0.229168i −0.183846 + 0.0160844i
\(204\) −2.41141 0.614763i −0.168832 0.0430420i
\(205\) 17.2893 + 8.06215i 1.20754 + 0.563085i
\(206\) 14.2345 + 6.53243i 0.991764 + 0.455136i
\(207\) 3.40939 + 19.3356i 0.236969 + 1.34392i
\(208\) 5.81132 8.74523i 0.402943 0.606373i
\(209\) 1.79376 20.0431i 0.124077 1.38641i
\(210\) 0.725883 + 1.53223i 0.0500907 + 0.105734i
\(211\) −4.44139 + 6.34297i −0.305758 + 0.436668i −0.942398 0.334493i \(-0.891435\pi\)
0.636640 + 0.771161i \(0.280324\pi\)
\(212\) 11.6261 + 11.3463i 0.798481 + 0.779267i
\(213\) −2.27787 + 4.88491i −0.156077 + 0.334708i
\(214\) −12.6083 + 15.2131i −0.861885 + 1.03995i
\(215\) −5.78972 + 6.89992i −0.394856 + 0.470571i
\(216\) 11.3093 0.206602i 0.769503 0.0140575i
\(217\) 0.401657 0.231897i 0.0272663 0.0157422i
\(218\) 2.44710 4.29873i 0.165738 0.291147i
\(219\) 2.71175 + 3.87278i 0.183243 + 0.261698i
\(220\) −3.05797 + 18.6693i −0.206169 + 1.25868i
\(221\) −4.31088 + 1.15510i −0.289981 + 0.0777003i
\(222\) 3.29086 + 0.860342i 0.220868 + 0.0577424i
\(223\) 6.97865 + 2.54002i 0.467325 + 0.170092i 0.564940 0.825132i \(-0.308899\pi\)
−0.0976154 + 0.995224i \(0.531122\pi\)
\(224\) 2.48017 3.78207i 0.165714 0.252700i
\(225\) 1.51386 1.27028i 0.100924 0.0846852i
\(226\) −14.2174 20.0437i −0.945726 1.33328i
\(227\) −9.48327 9.48327i −0.629427 0.629427i 0.318497 0.947924i \(-0.396822\pi\)
−0.947924 + 0.318497i \(0.896822\pi\)
\(228\) 6.17923 + 1.58844i 0.409229 + 0.105197i
\(229\) −7.72874 + 7.72874i −0.510730 + 0.510730i −0.914750 0.404020i \(-0.867612\pi\)
0.404020 + 0.914750i \(0.367612\pi\)
\(230\) 3.87024 22.7587i 0.255196 1.50066i
\(231\) 1.73636 + 2.06931i 0.114244 + 0.136150i
\(232\) 5.84804 7.23374i 0.383942 0.474918i
\(233\) 5.16241 14.1836i 0.338201 0.929199i −0.647704 0.761892i \(-0.724271\pi\)
0.985905 0.167307i \(-0.0535071\pi\)
\(234\) 7.89494 4.62247i 0.516108 0.302180i
\(235\) −4.35959 16.2702i −0.284388 1.06135i
\(236\) 7.98998 5.74090i 0.520103 0.373701i
\(237\) 9.91175 6.94028i 0.643838 0.450820i
\(238\) −1.85380 + 0.508841i −0.120164 + 0.0329833i
\(239\) 3.16932 + 5.48943i 0.205007 + 0.355082i 0.950135 0.311839i \(-0.100945\pi\)
−0.745128 + 0.666921i \(0.767612\pi\)
\(240\) −5.68459 1.91358i −0.366939 0.123521i
\(241\) 4.03198 + 3.38323i 0.259722 + 0.217933i 0.763345 0.645991i \(-0.223555\pi\)
−0.503623 + 0.863924i \(0.668000\pi\)
\(242\) 1.35956 + 14.5210i 0.0873960 + 0.933445i
\(243\) 13.8358 + 6.45174i 0.887567 + 0.413879i
\(244\) 9.88032 10.1239i 0.632523 0.648118i
\(245\) −10.6758 7.47528i −0.682052 0.477578i
\(246\) −3.24064 + 9.07513i −0.206616 + 0.578609i
\(247\) 11.0581 2.93943i 0.703612 0.187032i
\(248\) −0.395638 + 1.59233i −0.0251230 + 0.101113i
\(249\) −2.77703 + 0.489665i −0.175987 + 0.0310313i
\(250\) −15.7625 + 5.84602i −0.996910 + 0.369735i
\(251\) 5.82154 12.4843i 0.367453 0.788005i −0.632458 0.774595i \(-0.717954\pi\)
0.999910 0.0134095i \(-0.00426851\pi\)
\(252\) 3.38846 2.01174i 0.213453 0.126728i
\(253\) −3.20562 36.6404i −0.201536 2.30356i
\(254\) −0.270712 + 3.32748i −0.0169860 + 0.208784i
\(255\) 1.27471 + 2.20786i 0.0798253 + 0.138262i
\(256\) 3.54229 + 15.6030i 0.221393 + 0.975185i
\(257\) 1.99743 11.3280i 0.124596 0.706620i −0.856951 0.515398i \(-0.827644\pi\)
0.981547 0.191222i \(-0.0612449\pi\)
\(258\) −3.74288 2.58697i −0.233021 0.161058i
\(259\) 2.53805 0.680069i 0.157707 0.0422574i
\(260\) −10.5699 + 1.99677i −0.655520 + 0.123835i
\(261\) 7.34540 3.42522i 0.454669 0.212016i
\(262\) 3.34496 0.0203669i 0.206653 0.00125827i
\(263\) −18.5979 22.1641i −1.14679 1.36670i −0.919605 0.392844i \(-0.871491\pi\)
−0.227188 0.973851i \(-0.572953\pi\)
\(264\) −9.53351 0.658860i −0.586747 0.0405501i
\(265\) 16.6425i 1.02234i
\(266\) 4.75536 1.29510i 0.291570 0.0794079i
\(267\) −6.61331 + 6.61331i −0.404728 + 0.404728i
\(268\) 0.669546 + 2.38235i 0.0408991 + 0.145525i
\(269\) 15.1072 + 1.32170i 0.921099 + 0.0805857i 0.537832 0.843052i \(-0.319243\pi\)
0.383267 + 0.923638i \(0.374799\pi\)
\(270\) −8.24364 8.14386i −0.501692 0.495620i
\(271\) −7.63153 2.77765i −0.463582 0.168730i 0.0996606 0.995021i \(-0.468224\pi\)
−0.563243 + 0.826291i \(0.690447\pi\)
\(272\) 3.25590 5.97062i 0.197418 0.362022i
\(273\) −0.767983 + 1.33018i −0.0464804 + 0.0805064i
\(274\) −12.3609 + 17.8839i −0.746748 + 1.08041i
\(275\) −3.03253 + 2.12340i −0.182869 + 0.128046i
\(276\) 11.6285 + 0.874815i 0.699952 + 0.0526577i
\(277\) 0.898662 + 0.240796i 0.0539954 + 0.0144680i 0.285716 0.958314i \(-0.407769\pi\)
−0.231720 + 0.972782i \(0.574435\pi\)
\(278\) −2.35658 2.77399i −0.141338 0.166373i
\(279\) −0.918913 + 1.09512i −0.0550139 + 0.0655630i
\(280\) −4.54755 + 0.887791i −0.271768 + 0.0530557i
\(281\) 7.24956 + 19.9180i 0.432473 + 1.18821i 0.944290 + 0.329114i \(0.106750\pi\)
−0.511818 + 0.859094i \(0.671028\pi\)
\(282\) 7.97764 2.95876i 0.475062 0.176191i
\(283\) −11.2016 7.84341i −0.665863 0.466242i 0.191134 0.981564i \(-0.438784\pi\)
−0.856997 + 0.515322i \(0.827673\pi\)
\(284\) −11.3979 9.32984i −0.676341 0.553624i
\(285\) −3.25683 5.66701i −0.192918 0.335685i
\(286\) −15.4881 + 7.33736i −0.915831 + 0.433867i
\(287\) 1.29263 + 7.33088i 0.0763016 + 0.432728i
\(288\) −3.19657 + 13.5693i −0.188360 + 0.799578i
\(289\) 13.2585 4.82571i 0.779913 0.283865i
\(290\) −9.48802 + 0.888339i −0.557156 + 0.0521650i
\(291\) 0.875149 + 10.0030i 0.0513022 + 0.586386i
\(292\) −12.0862 + 4.56645i −0.707292 + 0.267231i
\(293\) 3.72022 + 0.996830i 0.217338 + 0.0582354i 0.365845 0.930676i \(-0.380780\pi\)
−0.148507 + 0.988911i \(0.547447\pi\)
\(294\) 3.25690 5.72129i 0.189946 0.333672i
\(295\) −9.92614 1.75025i −0.577922 0.101903i
\(296\) −4.49994 + 8.13370i −0.261554 + 0.472762i
\(297\) −15.9888 9.23113i −0.927763 0.535644i
\(298\) −19.8539 + 11.6244i −1.15011 + 0.673384i
\(299\) 18.9541 8.83842i 1.09614 0.511139i
\(300\) −0.508963 1.05765i −0.0293850 0.0610637i
\(301\) −3.50136 0.306329i −0.201815 0.0176565i
\(302\) −12.1199 + 8.59692i −0.697424 + 0.494697i
\(303\) −5.53253 −0.317835
\(304\) −8.37796 + 15.2908i −0.480509 + 0.876990i
\(305\) −14.4923 −0.829824
\(306\) 4.83302 3.42816i 0.276285 0.195975i
\(307\) 25.9638 + 2.27154i 1.48183 + 0.129643i 0.799176 0.601098i \(-0.205270\pi\)
0.682655 + 0.730741i \(0.260825\pi\)
\(308\) −6.65195 + 3.20104i −0.379030 + 0.182396i
\(309\) 7.34558 3.42530i 0.417875 0.194859i
\(310\) 1.45054 0.849290i 0.0823854 0.0482364i
\(311\) 3.18329 + 1.83787i 0.180508 + 0.104216i 0.587531 0.809202i \(-0.300100\pi\)
−0.407023 + 0.913418i \(0.633433\pi\)
\(312\) −1.50198 5.22202i −0.0850331 0.295638i
\(313\) −8.70944 1.53571i −0.492287 0.0868034i −0.0780066 0.996953i \(-0.524856\pi\)
−0.414280 + 0.910149i \(0.635967\pi\)
\(314\) 14.9248 26.2179i 0.842257 1.47956i
\(315\) −3.89950 1.04487i −0.219712 0.0588716i
\(316\) 11.6871 + 30.9327i 0.657450 + 1.74010i
\(317\) −0.351110 4.01320i −0.0197203 0.225404i −0.999659 0.0261057i \(-0.991689\pi\)
0.979939 0.199298i \(-0.0638662\pi\)
\(318\) 8.37019 0.783679i 0.469377 0.0439465i
\(319\) −14.2671 + 5.19280i −0.798804 + 0.290741i
\(320\) 8.90504 13.7615i 0.497807 0.769291i
\(321\) 1.77557 + 10.0697i 0.0991025 + 0.562038i
\(322\) 8.14090 3.85668i 0.453674 0.214924i
\(323\) 6.96897 2.52080i 0.387764 0.140261i
\(324\) −5.65817 + 6.91237i −0.314343 + 0.384021i
\(325\) −1.72431 1.20738i −0.0956477 0.0669732i
\(326\) −0.879784 + 0.326295i −0.0487268 + 0.0180718i
\(327\) −0.875494 2.40540i −0.0484149 0.133019i
\(328\) −21.8441 14.7082i −1.20614 0.812123i
\(329\) 4.22492 5.03507i 0.232928 0.277592i
\(330\) 6.33846 + 7.46114i 0.348921 + 0.410722i
\(331\) 5.68091 + 1.52220i 0.312251 + 0.0836674i 0.411541 0.911391i \(-0.364991\pi\)
−0.0992903 + 0.995059i \(0.531657\pi\)
\(332\) 0.578102 7.68442i 0.0317275 0.421737i
\(333\) −6.63442 + 4.64547i −0.363564 + 0.254570i
\(334\) −4.57486 + 6.61899i −0.250325 + 0.362175i
\(335\) 1.26759 2.19554i 0.0692560 0.119955i
\(336\) −0.660645 2.24534i −0.0360411 0.122493i
\(337\) −8.55094 3.11229i −0.465799 0.169537i 0.0984492 0.995142i \(-0.468612\pi\)
−0.564249 + 0.825605i \(0.690834\pi\)
\(338\) 6.14642 + 6.07203i 0.334321 + 0.330275i
\(339\) −12.6686 1.10836i −0.688062 0.0601977i
\(340\) −6.70719 + 1.88502i −0.363748 + 0.102229i
\(341\) 1.89366 1.89366i 0.102547 0.102547i
\(342\) −12.4084 + 8.76443i −0.670968 + 0.473926i
\(343\) 10.6822i 0.576784i
\(344\) 9.37738 8.16503i 0.505594 0.440229i
\(345\) −7.67913 9.15164i −0.413431 0.492708i
\(346\) −29.0074 + 0.176621i −1.55945 + 0.00949519i
\(347\) 25.7475 12.0063i 1.38220 0.644530i 0.417692 0.908589i \(-0.362839\pi\)
0.964507 + 0.264059i \(0.0850613\pi\)
\(348\) −0.893561 4.73007i −0.0478999 0.253558i
\(349\) 27.1190 7.26652i 1.45165 0.388968i 0.555052 0.831816i \(-0.312699\pi\)
0.896597 + 0.442848i \(0.146032\pi\)
\(350\) −0.745879 0.515531i −0.0398689 0.0275563i
\(351\) 1.82291 10.3382i 0.0972997 0.551814i
\(352\) 8.18084 24.8009i 0.436040 1.32189i
\(353\) 2.07004 + 3.58542i 0.110177 + 0.190832i 0.915842 0.401540i \(-0.131525\pi\)
−0.805664 + 0.592372i \(0.798192\pi\)
\(354\) 0.412857 5.07467i 0.0219431 0.269715i
\(355\) 1.31517 + 15.0324i 0.0698017 + 0.797837i
\(356\) −13.0480 21.9774i −0.691544 1.16480i
\(357\) −0.420428 + 0.901610i −0.0222514 + 0.0477183i
\(358\) −29.8601 + 11.0745i −1.57816 + 0.585308i
\(359\) −17.5714 + 3.09832i −0.927385 + 0.163523i −0.616888 0.787051i \(-0.711607\pi\)
−0.310497 + 0.950574i \(0.600496\pi\)
\(360\) 12.2359 7.36560i 0.644887 0.388201i
\(361\) −17.8799 + 6.42724i −0.941047 + 0.338276i
\(362\) 5.24471 14.6874i 0.275656 0.771951i
\(363\) 6.18249 + 4.32903i 0.324497 + 0.227215i
\(364\) −3.00399 2.93171i −0.157452 0.153663i
\(365\) 11.9960 + 5.59384i 0.627901 + 0.292795i
\(366\) −0.682424 7.28873i −0.0356709 0.380988i
\(367\) −7.56368 6.34668i −0.394821 0.331294i 0.423667 0.905818i \(-0.360743\pi\)
−0.818488 + 0.574524i \(0.805187\pi\)
\(368\) −10.1670 + 30.2028i −0.529993 + 1.57443i
\(369\) −11.4725 19.8709i −0.597232 1.03444i
\(370\) 9.18325 2.52067i 0.477414 0.131043i
\(371\) 5.31968 3.72488i 0.276184 0.193386i
\(372\) 0.495446 + 0.689544i 0.0256877 + 0.0357512i
\(373\) −3.75724 14.0222i −0.194543 0.726043i −0.992385 0.123177i \(-0.960692\pi\)
0.797842 0.602867i \(-0.205975\pi\)
\(374\) −9.57901 + 5.60848i −0.495319 + 0.290008i
\(375\) −2.97557 + 8.17532i −0.153658 + 0.422172i
\(376\) 2.44934 + 23.1230i 0.126315 + 1.19248i
\(377\) −5.54916 6.61324i −0.285797 0.340599i
\(378\) 0.758068 4.45777i 0.0389908 0.229283i
\(379\) −12.1566 + 12.1566i −0.624443 + 0.624443i −0.946664 0.322221i \(-0.895570\pi\)
0.322221 + 0.946664i \(0.395570\pi\)
\(380\) 17.2055 4.79857i 0.882624 0.246161i
\(381\) 1.22163 + 1.22163i 0.0625860 + 0.0625860i
\(382\) 10.2536 + 14.4556i 0.524621 + 0.739611i
\(383\) 16.8108 14.1059i 0.858989 0.720778i −0.102761 0.994706i \(-0.532768\pi\)
0.961750 + 0.273929i \(0.0883232\pi\)
\(384\) 7.34053 + 3.83068i 0.374595 + 0.195484i
\(385\) 7.10658 + 2.58658i 0.362185 + 0.131825i
\(386\) 21.6301 + 5.65484i 1.10094 + 0.287824i
\(387\) 10.4645 2.80395i 0.531940 0.142533i
\(388\) −27.0797 4.43558i −1.37477 0.225183i
\(389\) 18.2059 + 26.0008i 0.923077 + 1.31829i 0.947890 + 0.318599i \(0.103212\pi\)
−0.0248126 + 0.999692i \(0.507899\pi\)
\(390\) −2.75392 + 4.83772i −0.139450 + 0.244968i
\(391\) 11.7306 6.77264i 0.593240 0.342507i
\(392\) 12.9518 + 12.4871i 0.654164 + 0.630692i
\(393\) 1.11269 1.32605i 0.0561278 0.0668906i
\(394\) 2.59371 3.12957i 0.130669 0.157666i
\(395\) 14.3165 30.7019i 0.720343 1.54478i
\(396\) 15.8925 16.2843i 0.798628 0.818319i
\(397\) −4.36534 + 6.23435i −0.219090 + 0.312893i −0.913619 0.406572i \(-0.866724\pi\)
0.694529 + 0.719465i \(0.255613\pi\)
\(398\) 1.42766 + 3.01357i 0.0715619 + 0.151057i
\(399\) 1.08249 2.30940i 0.0541925 0.115615i
\(400\) 3.14437 0.633757i 0.157219 0.0316878i
\(401\) 1.00207 + 5.68301i 0.0500409 + 0.283796i 0.999552 0.0299382i \(-0.00953106\pi\)
−0.949511 + 0.313734i \(0.898420\pi\)
\(402\) 1.16391 + 0.534138i 0.0580506 + 0.0266404i
\(403\) 1.38008 + 0.643540i 0.0687464 + 0.0320570i
\(404\) 3.73503 14.6507i 0.185825 0.728898i
\(405\) 9.11655 0.797595i 0.453005 0.0396328i
\(406\) −2.40753 2.83396i −0.119484 0.140647i
\(407\) 13.1395 7.58610i 0.651301 0.376029i
\(408\) −1.26388 3.28455i −0.0625716 0.162609i
\(409\) 28.1605 + 4.96546i 1.39245 + 0.245526i 0.819037 0.573741i \(-0.194508\pi\)
0.573412 + 0.819267i \(0.305619\pi\)
\(410\) 4.84645 + 26.5396i 0.239349 + 1.31070i
\(411\) 2.91181 + 10.8670i 0.143629 + 0.536030i
\(412\) 4.11150 + 21.7642i 0.202559 + 1.07225i
\(413\) −1.66218 3.56457i −0.0817907 0.175401i
\(414\) −19.5140 + 19.7531i −0.959060 + 0.970810i
\(415\) −6.04765 + 5.07458i −0.296867 + 0.249101i
\(416\) 14.8424 0.451998i 0.727709 0.0221610i
\(417\) −1.88361 −0.0922407
\(418\) 24.5873 14.3301i 1.20260 0.700909i
\(419\) −26.0959 26.0959i −1.27487 1.27487i −0.943503 0.331364i \(-0.892491\pi\)
−0.331364 0.943503i \(-0.607509\pi\)
\(420\) −1.17351 + 2.09097i −0.0572614 + 0.102029i
\(421\) 1.34218 15.3411i 0.0654137 0.747682i −0.890682 0.454627i \(-0.849773\pi\)
0.956096 0.293055i \(-0.0946718\pi\)
\(422\) −10.9505 + 0.0666758i −0.533063 + 0.00324573i
\(423\) −6.92923 + 19.0379i −0.336911 + 0.925654i
\(424\) −3.57549 + 22.6941i −0.173641 + 1.10212i
\(425\) −1.18071 0.681684i −0.0572729 0.0330665i
\(426\) −7.49847 + 1.36931i −0.363302 + 0.0663432i
\(427\) −3.24361 4.63236i −0.156970 0.224176i
\(428\) −27.8644 2.09625i −1.34687 0.101326i
\(429\) −2.29546 + 8.56677i −0.110826 + 0.413607i
\(430\) −12.6962 1.03292i −0.612263 0.0498116i
\(431\) 6.51436 + 5.46619i 0.313785 + 0.263297i 0.786055 0.618157i \(-0.212120\pi\)
−0.472269 + 0.881454i \(0.656565\pi\)
\(432\) 9.49159 + 12.8762i 0.456664 + 0.619508i
\(433\) 12.3671 4.50127i 0.594327 0.216317i −0.0273048 0.999627i \(-0.508692\pi\)
0.621631 + 0.783310i \(0.286470\pi\)
\(434\) 0.596127 + 0.273572i 0.0286150 + 0.0131319i
\(435\) −2.82859 + 4.03964i −0.135620 + 0.193686i
\(436\) 6.96078 0.694499i 0.333361 0.0332605i
\(437\) −30.1094 + 17.3038i −1.44033 + 0.827753i
\(438\) −2.24849 + 6.29669i −0.107437 + 0.300868i
\(439\) 24.4081 4.30381i 1.16494 0.205410i 0.442449 0.896794i \(-0.354110\pi\)
0.722488 + 0.691384i \(0.242999\pi\)
\(440\) −24.0369 + 11.7478i −1.14592 + 0.560055i
\(441\) 5.36132 + 14.7301i 0.255301 + 0.701433i
\(442\) −4.85956 4.02749i −0.231146 0.191568i
\(443\) −24.6805 + 2.15926i −1.17260 + 0.102590i −0.656765 0.754095i \(-0.728076\pi\)
−0.515840 + 0.856685i \(0.672520\pi\)
\(444\) 1.70017 + 4.49992i 0.0806867 + 0.213557i
\(445\) −6.77695 + 25.2919i −0.321258 + 1.19895i
\(446\) 2.78001 + 10.1281i 0.131637 + 0.479578i
\(447\) −2.06743 + 11.7250i −0.0977860 + 0.554572i
\(448\) 6.39188 0.233615i 0.301988 0.0110373i
\(449\) −13.3454 + 23.1148i −0.629807 + 1.09086i 0.357784 + 0.933804i \(0.383532\pi\)
−0.987590 + 0.157052i \(0.949801\pi\)
\(450\) 2.70390 + 0.706890i 0.127463 + 0.0333231i
\(451\) 18.1654 + 38.9558i 0.855375 + 1.83436i
\(452\) 11.4876 32.7994i 0.540333 1.54275i
\(453\) −0.670198 + 7.66039i −0.0314886 + 0.359917i
\(454\) 3.17972 18.6981i 0.149232 0.877546i
\(455\) 4.30017i 0.201595i
\(456\) 3.22358 + 8.42737i 0.150958 + 0.394648i
\(457\) 33.6921i 1.57605i −0.615643 0.788025i \(-0.711104\pi\)
0.615643 0.788025i \(-0.288896\pi\)
\(458\) −15.2387 2.59143i −0.712058 0.121089i
\(459\) 0.592588 6.77331i 0.0276596 0.316151i
\(460\) 29.4186 14.1568i 1.37165 0.660064i
\(461\) 16.0621 + 34.4453i 0.748087 + 1.60428i 0.795905 + 0.605422i \(0.206996\pi\)
−0.0478173 + 0.998856i \(0.515227\pi\)
\(462\) −0.966255 + 3.69598i −0.0449542 + 0.171953i
\(463\) −16.2649 + 28.1716i −0.755892 + 1.30924i 0.189038 + 0.981970i \(0.439463\pi\)
−0.944930 + 0.327273i \(0.893870\pi\)
\(464\) 13.1289 + 0.827052i 0.609496 + 0.0383949i
\(465\) 0.151048 0.856637i 0.00700469 0.0397256i
\(466\) 20.5846 5.65018i 0.953563 0.261740i
\(467\) 1.91432 7.14433i 0.0885841 0.330600i −0.907385 0.420301i \(-0.861924\pi\)
0.995969 + 0.0897008i \(0.0285911\pi\)
\(468\) 11.7916 + 5.32469i 0.545068 + 0.246134i
\(469\) 0.985499 0.0862200i 0.0455061 0.00398127i
\(470\) 15.2006 18.3410i 0.701152 0.846008i
\(471\) −5.33963 14.6705i −0.246037 0.675981i
\(472\) 13.1595 + 4.51921i 0.605715 + 0.208014i
\(473\) −19.9864 + 3.52415i −0.918978 + 0.162041i
\(474\) 16.1154 + 5.75464i 0.740203 + 0.264319i
\(475\) 3.02363 + 1.75373i 0.138733 + 0.0804665i
\(476\) −2.10372 1.72201i −0.0964238 0.0789284i
\(477\) −11.4814 + 16.3971i −0.525697 + 0.750773i
\(478\) −3.73890 + 8.14724i −0.171013 + 0.372646i
\(479\) −31.1158 + 11.3252i −1.42172 + 0.517464i −0.934546 0.355842i \(-0.884194\pi\)
−0.487173 + 0.873305i \(0.661972\pi\)
\(480\) −2.44382 8.12284i −0.111544 0.370755i
\(481\) 6.60865 + 5.54532i 0.301329 + 0.252845i
\(482\) −0.603585 + 7.41902i −0.0274926 + 0.337927i
\(483\) 1.20654 4.50288i 0.0548996 0.204888i
\(484\) −15.6375 + 13.4493i −0.710796 + 0.611332i
\(485\) 16.1243 + 23.0279i 0.732167 + 1.04564i
\(486\) 3.87837 + 21.2383i 0.175927 + 0.963391i
\(487\) 13.2937 + 7.67514i 0.602396 + 0.347794i 0.769984 0.638064i \(-0.220264\pi\)
−0.167587 + 0.985857i \(0.553598\pi\)
\(488\) 19.7620 + 3.11352i 0.894582 + 0.140943i
\(489\) −0.166081 + 0.456305i −0.00751046 + 0.0206348i
\(490\) −0.112222 18.4307i −0.00506966 0.832616i
\(491\) −1.03911 + 11.8771i −0.0468944 + 0.536006i 0.936021 + 0.351945i \(0.114480\pi\)
−0.982915 + 0.184060i \(0.941076\pi\)
\(492\) −13.1196 + 3.68719i −0.591477 + 0.166231i
\(493\) −3.95373 3.95373i −0.178067 0.178067i
\(494\) 12.4384 + 10.3505i 0.559629 + 0.465690i
\(495\) −23.3108 −1.04774
\(496\) −2.16046 + 0.846476i −0.0970074 + 0.0380079i
\(497\) −4.51066 + 3.78490i −0.202331 + 0.169776i
\(498\) −2.83699 2.80265i −0.127128 0.125590i
\(499\) 5.20737 + 11.1672i 0.233114 + 0.499915i 0.987714 0.156270i \(-0.0499470\pi\)
−0.754600 + 0.656185i \(0.772169\pi\)
\(500\) −19.6402 13.3988i −0.878338 0.599213i
\(501\) 1.07768 + 4.02197i 0.0481473 + 0.179688i
\(502\) 19.1638 3.49954i 0.855323 0.156192i
\(503\) −21.0067 3.70404i −0.936640 0.165155i −0.315563 0.948905i \(-0.602193\pi\)
−0.621077 + 0.783750i \(0.713305\pi\)
\(504\) 5.09297 + 2.26258i 0.226859 + 0.100783i
\(505\) −13.4140 + 7.74457i −0.596915 + 0.344629i
\(506\) 39.6417 33.6768i 1.76229 1.49712i
\(507\) 4.45411 0.389684i 0.197814 0.0173065i
\(508\) −4.05972 + 2.41027i −0.180121 + 0.106938i
\(509\) −19.2300 8.96711i −0.852356 0.397460i −0.0532001 0.998584i \(-0.516942\pi\)
−0.799156 + 0.601124i \(0.794720\pi\)
\(510\) −1.50379 + 3.27684i −0.0665891 + 0.145101i
\(511\) 0.896880 + 5.08646i 0.0396756 + 0.225012i
\(512\) −15.0996 + 16.8523i −0.667316 + 0.744775i
\(513\) −1.55385 + 17.3624i −0.0686041 + 0.766567i
\(514\) 14.7011 6.96450i 0.648436 0.307191i
\(515\) 13.0150 18.5874i 0.573511 0.819059i
\(516\) −0.0783545 6.43404i −0.00344936 0.283243i
\(517\) 16.0395 34.3969i 0.705417 1.51277i
\(518\) 2.86109 + 2.37120i 0.125709 + 0.104185i
\(519\) −9.64920 + 11.4995i −0.423553 + 0.504771i
\(520\) −10.9516 10.5586i −0.480258 0.463026i
\(521\) 28.2511 16.3108i 1.23770 0.714589i 0.269080 0.963118i \(-0.413280\pi\)
0.968625 + 0.248529i \(0.0799470\pi\)
\(522\) 9.96097 + 5.67038i 0.435980 + 0.248186i
\(523\) −12.4178 17.7345i −0.542994 0.775475i 0.450078 0.892989i \(-0.351396\pi\)
−0.993071 + 0.117514i \(0.962507\pi\)
\(524\) 2.76034 + 3.84174i 0.120586 + 0.167827i
\(525\) −0.453227 + 0.121442i −0.0197804 + 0.00530015i
\(526\) 10.3494 39.5871i 0.451256 1.72608i
\(527\) 0.926775 + 0.337319i 0.0403710 + 0.0146938i
\(528\) −7.04031 11.5359i −0.306390 0.502038i
\(529\) −31.0045 + 26.0158i −1.34802 + 1.13112i
\(530\) 19.1971 13.6169i 0.833868 0.591480i
\(531\) 8.57231 + 8.57231i 0.372006 + 0.372006i
\(532\) 5.38472 + 4.42563i 0.233457 + 0.191876i
\(533\) −17.2819 + 17.2819i −0.748562 + 0.748562i
\(534\) −13.0394 2.21743i −0.564271 0.0959575i
\(535\) 18.4009 + 21.9293i 0.795539 + 0.948087i
\(536\) −2.20021 + 2.72155i −0.0950346 + 0.117553i
\(537\) −5.63685 + 15.4871i −0.243248 + 0.668318i
\(538\) 10.8361 + 18.5074i 0.467176 + 0.797913i
\(539\) −7.60022 28.3644i −0.327365 1.22174i
\(540\) 2.64898 16.1723i 0.113994 0.695945i
\(541\) 34.0998 23.8769i 1.46606 1.02655i 0.477025 0.878890i \(-0.341715\pi\)
0.989038 0.147659i \(-0.0471737\pi\)
\(542\) −3.04010 11.0756i −0.130583 0.475738i
\(543\) −4.03536 6.98945i −0.173174 0.299946i
\(544\) 9.55106 1.12948i 0.409498 0.0484260i
\(545\) −5.48984 4.60652i −0.235159 0.197322i
\(546\) −2.16272 + 0.202490i −0.0925560 + 0.00866578i
\(547\) −14.7855 6.89461i −0.632184 0.294792i 0.0799897 0.996796i \(-0.474511\pi\)
−0.712173 + 0.702004i \(0.752289\pi\)
\(548\) −30.7427 + 0.374387i −1.31326 + 0.0159930i
\(549\) 14.2786 + 9.99795i 0.609394 + 0.426702i
\(550\) −4.93055 1.76065i −0.210239 0.0750744i
\(551\) 10.1164 + 10.1567i 0.430972 + 0.432692i
\(552\) 8.50530 + 14.1292i 0.362010 + 0.601378i
\(553\) 13.0180 2.29542i 0.553580 0.0976112i
\(554\) 0.457527 + 1.23362i 0.0194384 + 0.0524115i
\(555\) 2.08269 4.46635i 0.0884054 0.189586i
\(556\) 1.27163 4.98798i 0.0539292 0.211537i
\(557\) −3.24677 37.1108i −0.137570 1.57243i −0.680558 0.732694i \(-0.738263\pi\)
0.542988 0.839740i \(-0.317293\pi\)
\(558\) −2.01507 0.163939i −0.0853045 0.00694008i
\(559\) −5.76985 9.99367i −0.244039 0.422687i
\(560\) −4.74486 4.51919i −0.200507 0.190971i
\(561\) −0.997482 + 5.65700i −0.0421137 + 0.238839i
\(562\) −17.0438 + 24.6592i −0.718947 + 1.04019i
\(563\) 18.6401 4.99459i 0.785584 0.210497i 0.156339 0.987703i \(-0.450031\pi\)
0.629245 + 0.777207i \(0.283364\pi\)
\(564\) 9.94021 + 6.78133i 0.418558 + 0.285545i
\(565\) −32.2673 + 15.0465i −1.35750 + 0.633011i
\(566\) −0.117748 19.3384i −0.00494933 0.812854i
\(567\) 2.29539 + 2.73554i 0.0963972 + 0.114882i
\(568\) 1.43618 20.7811i 0.0602608 0.871955i
\(569\) 6.93854i 0.290879i 0.989367 + 0.145439i \(0.0464596\pi\)
−0.989367 + 0.145439i \(0.953540\pi\)
\(570\) 3.87215 8.39347i 0.162186 0.351564i
\(571\) −21.8154 + 21.8154i −0.912947 + 0.912947i −0.996503 0.0835559i \(-0.973372\pi\)
0.0835559 + 0.996503i \(0.473372\pi\)
\(572\) −21.1360 11.8621i −0.883739 0.495977i
\(573\) 9.13662 + 0.799351i 0.381688 + 0.0333934i
\(574\) −7.39851 + 7.48915i −0.308808 + 0.312591i
\(575\) 6.00348 + 2.18509i 0.250362 + 0.0911244i
\(576\) −18.2675 + 7.41514i −0.761148 + 0.308964i
\(577\) 21.6398 37.4813i 0.900879 1.56037i 0.0745228 0.997219i \(-0.476257\pi\)
0.826356 0.563148i \(-0.190410\pi\)
\(578\) 16.4145 + 11.3453i 0.682754 + 0.471901i
\(579\) 9.47736 6.63612i 0.393865 0.275788i
\(580\) −8.78778 10.2176i −0.364893 0.424261i
\(581\) −2.97563 0.797317i −0.123450 0.0330783i
\(582\) −10.8224 + 9.19392i −0.448602 + 0.381100i
\(583\) 24.1035 28.7255i 0.998266 1.18969i
\(584\) −15.1563 10.2051i −0.627172 0.422291i
\(585\) −4.53334 12.4553i −0.187431 0.514962i
\(586\) 1.89404 + 5.10686i 0.0782420 + 0.210962i
\(587\) 18.8759 + 13.2171i 0.779094 + 0.545527i 0.894116 0.447836i \(-0.147805\pi\)
−0.115022 + 0.993363i \(0.536694\pi\)
\(588\) 9.26427 0.924325i 0.382052 0.0381185i
\(589\) −2.37434 0.869548i −0.0978331 0.0358291i
\(590\) −6.10265 12.8818i −0.251242 0.530335i
\(591\) −0.365261 2.07150i −0.0150248 0.0852101i
\(592\) −13.0640 + 1.46431i −0.536928 + 0.0601829i
\(593\) 9.28758 3.38040i 0.381395 0.138817i −0.144206 0.989548i \(-0.546063\pi\)
0.525601 + 0.850731i \(0.323840\pi\)
\(594\) −2.43393 25.9959i −0.0998652 1.06662i
\(595\) 0.242741 + 2.77454i 0.00995140 + 0.113745i
\(596\) −29.6531 13.3903i −1.21464 0.548489i
\(597\) 1.66686 + 0.446635i 0.0682202 + 0.0182796i
\(598\) 25.7033 + 14.6318i 1.05108 + 0.598340i
\(599\) −13.9172 2.45397i −0.568640 0.100267i −0.118066 0.993006i \(-0.537670\pi\)
−0.450574 + 0.892739i \(0.648781\pi\)
\(600\) 0.803567 1.45246i 0.0328055 0.0592963i
\(601\) −33.1581 19.1438i −1.35255 0.780894i −0.363942 0.931422i \(-0.618569\pi\)
−0.988606 + 0.150528i \(0.951903\pi\)
\(602\) −2.51145 4.28944i −0.102359 0.174824i
\(603\) −2.76356 + 1.28867i −0.112541 + 0.0524788i
\(604\) −19.8330 6.94631i −0.806994 0.282641i
\(605\) 21.0498 + 1.84162i 0.855794 + 0.0748723i
\(606\) −4.52670 6.38174i −0.183885 0.259241i
\(607\) −25.8222 −1.04809 −0.524045 0.851690i \(-0.675578\pi\)
−0.524045 + 0.851690i \(0.675578\pi\)
\(608\) −24.4927 + 2.84700i −0.993312 + 0.115461i
\(609\) −1.92433 −0.0779780
\(610\) −11.8575 16.7167i −0.480097 0.676841i
\(611\) 21.4980 + 1.88083i 0.869715 + 0.0760902i
\(612\) 7.90873 + 2.76995i 0.319691 + 0.111969i
\(613\) −15.5400 + 7.24644i −0.627656 + 0.292681i −0.710301 0.703898i \(-0.751441\pi\)
0.0826446 + 0.996579i \(0.473663\pi\)
\(614\) 18.6233 + 31.8077i 0.751575 + 1.28365i
\(615\) 12.0908 + 6.98063i 0.487549 + 0.281486i
\(616\) −9.13500 5.05391i −0.368060 0.203628i
\(617\) −36.7129 6.47348i −1.47801 0.260612i −0.624225 0.781245i \(-0.714585\pi\)
−0.853781 + 0.520632i \(0.825696\pi\)
\(618\) 9.96121 + 5.67052i 0.400699 + 0.228102i
\(619\) −39.2038 10.5046i −1.57573 0.422216i −0.638131 0.769928i \(-0.720292\pi\)
−0.937601 + 0.347712i \(0.886959\pi\)
\(620\) 2.16648 + 0.978309i 0.0870081 + 0.0392898i
\(621\) 2.77688 + 31.7398i 0.111432 + 1.27368i
\(622\) 0.484583 + 5.17565i 0.0194300 + 0.207525i
\(623\) −9.60121 + 3.49455i −0.384664 + 0.140006i
\(624\) 4.79465 6.00518i 0.191940 0.240399i
\(625\) 3.53330 + 20.0383i 0.141332 + 0.801533i
\(626\) −5.35461 11.3028i −0.214013 0.451751i
\(627\) 2.58622 14.4983i 0.103284 0.579007i
\(628\) 42.4537 4.23574i 1.69409 0.169024i
\(629\) 4.57704 + 3.20488i 0.182499 + 0.127787i
\(630\) −1.98531 5.35296i −0.0790967 0.213267i
\(631\) −0.528899 1.45314i −0.0210552 0.0578486i 0.928720 0.370782i \(-0.120910\pi\)
−0.949775 + 0.312934i \(0.898688\pi\)
\(632\) −26.1184 + 38.7901i −1.03893 + 1.54299i
\(633\) −3.64265 + 4.34115i −0.144783 + 0.172545i
\(634\) 4.34193 3.68860i 0.172440 0.146493i
\(635\) 4.67200 + 1.25186i 0.185403 + 0.0496785i
\(636\) 7.75244 + 9.01377i 0.307404 + 0.357419i
\(637\) 13.6774 9.57704i 0.541920 0.379456i
\(638\) −17.6632 12.2083i −0.699292 0.483331i
\(639\) 9.07483 15.7181i 0.358995 0.621797i
\(640\) 23.1599 0.987702i 0.915475 0.0390424i
\(641\) 4.81619 + 1.75295i 0.190228 + 0.0692374i 0.435378 0.900248i \(-0.356615\pi\)
−0.245149 + 0.969485i \(0.578837\pi\)
\(642\) −10.1626 + 10.2872i −0.401087 + 0.406002i
\(643\) −28.2433 2.47097i −1.11381 0.0974455i −0.484639 0.874714i \(-0.661049\pi\)
−0.629169 + 0.777269i \(0.716605\pi\)
\(644\) 11.1095 + 6.23496i 0.437777 + 0.245692i
\(645\) −4.66120 + 4.66120i −0.183535 + 0.183535i
\(646\) 8.60972 + 5.97616i 0.338745 + 0.235129i
\(647\) 46.1598i 1.81473i −0.420346 0.907364i \(-0.638091\pi\)
0.420346 0.907364i \(-0.361909\pi\)
\(648\) −12.6029 0.870985i −0.495089 0.0342155i
\(649\) −14.5979 17.3971i −0.573018 0.682896i
\(650\) −0.0181256 2.97686i −0.000710944 0.116762i
\(651\) 0.307626 0.143448i 0.0120568 0.00562219i
\(652\) −1.09622 0.747853i −0.0429312 0.0292882i
\(653\) −31.0928 + 8.33128i −1.21675 + 0.326028i −0.809409 0.587246i \(-0.800212\pi\)
−0.407345 + 0.913274i \(0.633545\pi\)
\(654\) 2.05829 2.97797i 0.0804855 0.116448i
\(655\) 0.841552 4.77268i 0.0328822 0.186484i
\(656\) −0.906946 37.2312i −0.0354103 1.45364i
\(657\) −7.96005 13.7872i −0.310551 0.537891i
\(658\) 9.26475 + 0.753748i 0.361178 + 0.0293842i
\(659\) −2.40145 27.4487i −0.0935471 1.06925i −0.887357 0.461082i \(-0.847461\pi\)
0.793810 0.608166i \(-0.208094\pi\)
\(660\) −3.42028 + 13.4161i −0.133134 + 0.522220i
\(661\) −19.3934 + 41.5893i −0.754317 + 1.61764i 0.0317502 + 0.999496i \(0.489892\pi\)
−0.786067 + 0.618141i \(0.787886\pi\)
\(662\) 2.89226 + 7.79836i 0.112411 + 0.303092i
\(663\) −3.21660 + 0.567173i −0.124922 + 0.0220272i
\(664\) 9.33694 5.62054i 0.362344 0.218119i
\(665\) −0.608176 7.11460i −0.0235841 0.275892i
\(666\) −10.7868 3.85186i −0.417980 0.149257i
\(667\) 21.4630 + 15.0285i 0.831050 + 0.581908i
\(668\) −11.3781 + 0.138564i −0.440232 + 0.00536119i
\(669\) 4.92588 + 2.29697i 0.190445 + 0.0888061i
\(670\) 3.56968 0.334220i 0.137909 0.0129120i
\(671\) −25.0140 20.9893i −0.965656 0.810282i
\(672\) 2.04945 2.59918i 0.0790592 0.100266i
\(673\) 14.5442 + 25.1913i 0.560637 + 0.971052i 0.997441 + 0.0714955i \(0.0227771\pi\)
−0.436804 + 0.899557i \(0.643890\pi\)
\(674\) −3.40635 12.4099i −0.131208 0.478013i
\(675\) 2.62694 1.83940i 0.101111 0.0707986i
\(676\) −1.97506 + 12.0580i −0.0759640 + 0.463769i
\(677\) 2.27355 + 8.48499i 0.0873795 + 0.326105i 0.995754 0.0920526i \(-0.0293428\pi\)
−0.908375 + 0.418157i \(0.862676\pi\)
\(678\) −9.08692 15.5200i −0.348981 0.596042i
\(679\) −3.75183 + 10.3081i −0.143982 + 0.395588i
\(680\) −7.66217 6.19439i −0.293831 0.237544i
\(681\) −6.30904 7.51882i −0.241763 0.288122i
\(682\) 3.73372 + 0.634939i 0.142971 + 0.0243131i
\(683\) 4.21762 4.21762i 0.161383 0.161383i −0.621796 0.783179i \(-0.713597\pi\)
0.783179 + 0.621796i \(0.213597\pi\)
\(684\) −20.2622 7.14196i −0.774746 0.273080i
\(685\) 22.2718 + 22.2718i 0.850961 + 0.850961i
\(686\) 12.3218 8.74014i 0.470450 0.333700i
\(687\) −6.12774 + 5.14178i −0.233788 + 0.196171i
\(688\) 17.0909 + 4.13616i 0.651583 + 0.157690i
\(689\) 20.0359 + 7.29248i 0.763308 + 0.277821i
\(690\) 4.27332 16.3457i 0.162682 0.622270i
\(691\) 18.5746 4.97705i 0.706611 0.189336i 0.112421 0.993661i \(-0.464139\pi\)
0.594190 + 0.804325i \(0.297473\pi\)
\(692\) −23.9375 33.3154i −0.909967 1.26646i
\(693\) −5.21735 7.45115i −0.198191 0.283046i
\(694\) 34.9157 + 19.8761i 1.32538 + 0.754488i
\(695\) −4.56694 + 2.63672i −0.173234 + 0.100017i
\(696\) 4.72501 4.90086i 0.179101 0.185766i
\(697\) −10.1750 + 12.1261i −0.385407 + 0.459310i
\(698\) 30.5706 + 25.3362i 1.15712 + 0.958990i
\(699\) 4.66844 10.0115i 0.176577 0.378670i
\(700\) −0.0156145 1.28217i −0.000590171 0.0484617i
\(701\) −4.30574 + 6.14923i −0.162625 + 0.232253i −0.892192 0.451657i \(-0.850833\pi\)
0.729566 + 0.683910i \(0.239722\pi\)
\(702\) 13.4166 6.35601i 0.506377 0.239892i
\(703\) −11.7183 8.24003i −0.441962 0.310779i
\(704\) 35.3012 10.8555i 1.33047 0.409131i
\(705\) −2.14063 12.1401i −0.0806209 0.457224i
\(706\) −2.44206 + 5.32136i −0.0919080 + 0.200272i
\(707\) −5.47779 2.55433i −0.206013 0.0960656i
\(708\) 6.19140 3.67585i 0.232687 0.138147i
\(709\) 33.7444 2.95225i 1.26730 0.110874i 0.566397 0.824133i \(-0.308337\pi\)
0.700901 + 0.713258i \(0.252781\pi\)
\(710\) −16.2638 + 13.8165i −0.610368 + 0.518525i
\(711\) −35.2862 + 20.3725i −1.32333 + 0.764027i
\(712\) 14.6749 33.0327i 0.549966 1.23795i
\(713\) −4.55139 0.802533i −0.170451 0.0300551i
\(714\) −1.38400 + 0.252734i −0.0517948 + 0.00945834i
\(715\) 6.42648 + 23.9840i 0.240337 + 0.896949i
\(716\) −37.2059 25.3823i −1.39045 0.948582i
\(717\) 1.96050 + 4.20431i 0.0732163 + 0.157013i
\(718\) −17.9508 17.7335i −0.669918 0.661810i
\(719\) 3.64869 3.06161i 0.136073 0.114179i −0.572211 0.820107i \(-0.693914\pi\)
0.708284 + 0.705928i \(0.249470\pi\)
\(720\) 18.5075 + 8.08750i 0.689736 + 0.301403i
\(721\) 8.85434 0.329753
\(722\) −22.0431 15.3656i −0.820359 0.571849i
\(723\) 2.72378 + 2.72378i 0.101298 + 0.101298i
\(724\) 21.2330 5.96742i 0.789119 0.221778i
\(725\) 0.229851 2.62721i 0.00853646 0.0975722i
\(726\) 0.0649889 + 10.6735i 0.00241197 + 0.396130i
\(727\) −6.63057 + 18.2173i −0.245914 + 0.675644i 0.753912 + 0.656976i \(0.228165\pi\)
−0.999826 + 0.0186678i \(0.994058\pi\)
\(728\) 0.923850 5.86381i 0.0342401 0.217327i
\(729\) −1.92843 1.11338i −0.0714232 0.0412362i
\(730\) 3.36266 + 18.4142i 0.124458 + 0.681542i
\(731\) −4.28694 6.12238i −0.158558 0.226444i
\(732\) 7.84916 6.75080i 0.290113 0.249517i
\(733\) −1.66176 + 6.20179i −0.0613787 + 0.229068i −0.989801 0.142459i \(-0.954499\pi\)
0.928422 + 0.371527i \(0.121166\pi\)
\(734\) 1.13228 13.9175i 0.0417932 0.513705i
\(735\) −7.30655 6.13092i −0.269506 0.226143i
\(736\) −43.1574 + 12.9842i −1.59080 + 0.478605i
\(737\) 5.36772 1.95369i 0.197722 0.0719651i
\(738\) 13.5342 29.4917i 0.498202 1.08561i
\(739\) 27.7867 39.6835i 1.02215 1.45978i 0.139228 0.990260i \(-0.455538\pi\)
0.882922 0.469520i \(-0.155573\pi\)
\(740\) 10.4213 + 8.53043i 0.383094 + 0.313585i
\(741\) 8.24960 1.43770i 0.303057 0.0528151i
\(742\) 8.64919 + 3.08854i 0.317522 + 0.113384i
\(743\) 25.2224 4.44739i 0.925320 0.163159i 0.309368 0.950942i \(-0.399883\pi\)
0.615952 + 0.787783i \(0.288771\pi\)
\(744\) −0.390013 + 1.13568i −0.0142986 + 0.0416360i
\(745\) 11.4003 + 31.3220i 0.417674 + 1.14755i
\(746\) 13.1004 15.8069i 0.479640 0.578732i
\(747\) 9.45934 0.827585i 0.346099 0.0302798i
\(748\) −14.3069 6.46049i −0.523112 0.236219i
\(749\) −2.89114 + 10.7899i −0.105640 + 0.394254i
\(750\) −11.8648 + 3.25672i −0.433242 + 0.118919i
\(751\) −4.15489 + 23.5636i −0.151614 + 0.859847i 0.810202 + 0.586151i \(0.199357\pi\)
−0.961816 + 0.273696i \(0.911754\pi\)
\(752\) −24.6683 + 21.7445i −0.899560 + 0.792942i
\(753\) 5.04060 8.73058i 0.183690 0.318160i
\(754\) 3.08802 11.8119i 0.112459 0.430163i
\(755\) 9.09827 + 19.5113i 0.331120 + 0.710089i
\(756\) 5.76226 2.77291i 0.209572 0.100850i
\(757\) 0.00884889 0.101143i 0.000321618 0.00367611i −0.996032 0.0889937i \(-0.971635\pi\)
0.996354 + 0.0853175i \(0.0271905\pi\)
\(758\) −23.9691 4.07608i −0.870597 0.148050i
\(759\) 26.9177i 0.977052i
\(760\) 19.6126 + 15.9203i 0.711425 + 0.577490i
\(761\) 24.2575i 0.879335i 0.898161 + 0.439667i \(0.144904\pi\)
−0.898161 + 0.439667i \(0.855096\pi\)
\(762\) −0.409610 + 2.40868i −0.0148386 + 0.0872573i
\(763\) 0.243727 2.78581i 0.00882351 0.100853i
\(764\) −8.28493 + 23.6550i −0.299738 + 0.855809i
\(765\) −3.62808 7.78044i −0.131174 0.281303i
\(766\) 30.0256 + 7.84971i 1.08487 + 0.283622i
\(767\) 6.45659 11.1831i 0.233134 0.403800i
\(768\) 1.58733 + 11.6015i 0.0572778 + 0.418634i
\(769\) −3.68065 + 20.8740i −0.132728 + 0.752736i 0.843687 + 0.536835i \(0.180380\pi\)
−0.976415 + 0.215902i \(0.930731\pi\)
\(770\) 2.83098 + 10.3137i 0.102021 + 0.371682i
\(771\) 2.17881 8.13143i 0.0784680 0.292846i
\(772\) 11.1749 + 29.5770i 0.402193 + 1.06450i
\(773\) −4.07422 + 0.356448i −0.146539 + 0.0128205i −0.160189 0.987086i \(-0.551210\pi\)
0.0136500 + 0.999907i \(0.495655\pi\)
\(774\) 11.7964 + 9.77655i 0.424012 + 0.351411i
\(775\) 0.159100 + 0.437123i 0.00571503 + 0.0157019i
\(776\) −17.0402 34.8655i −0.611706 1.25160i
\(777\) 1.89378 0.333925i 0.0679392 0.0119795i
\(778\) −15.0957 + 42.2742i −0.541207 + 1.51560i
\(779\) 26.1486 31.0370i 0.936872 1.11202i
\(780\) −7.83354 + 0.781577i −0.280486 + 0.0279849i
\(781\) −19.5016 + 27.8511i −0.697821 + 0.996592i
\(782\) 17.4101 + 7.98979i 0.622585 + 0.285714i
\(783\) 12.3589 4.49827i 0.441671 0.160755i
\(784\) −3.80664 + 25.1567i −0.135952 + 0.898454i
\(785\) −33.4824 28.0951i −1.19504 1.00276i
\(786\) 2.44000 + 0.198510i 0.0870319 + 0.00708061i
\(787\) 1.19518 4.46046i 0.0426034 0.158998i −0.941347 0.337440i \(-0.890439\pi\)
0.983950 + 0.178442i \(0.0571057\pi\)
\(788\) 5.73212 + 0.431230i 0.204198 + 0.0153619i
\(789\) −12.1453 17.3453i −0.432385 0.617510i
\(790\) 47.1283 8.60618i 1.67675 0.306194i
\(791\) −12.0315 6.94639i −0.427791 0.246985i
\(792\) 31.7871 + 5.00810i 1.12951 + 0.177955i
\(793\) 6.35026 17.4472i 0.225504 0.619568i
\(794\) −10.7630 + 0.0655341i −0.381965 + 0.00232572i
\(795\) 1.06154 12.1335i 0.0376491 0.430331i
\(796\) −2.30804 + 4.11249i −0.0818063 + 0.145763i
\(797\) −16.6281 16.6281i −0.588998 0.588998i 0.348362 0.937360i \(-0.386738\pi\)
−0.937360 + 0.348362i \(0.886738\pi\)
\(798\) 3.54958 0.640895i 0.125654 0.0226874i
\(799\) 13.9770 0.494472
\(800\) 3.30376 + 3.10848i 0.116805 + 0.109901i
\(801\) 24.1255 20.2437i 0.852432 0.715275i
\(802\) −5.73543 + 5.80571i −0.202525 + 0.205007i
\(803\) 12.6039 + 27.0291i 0.444781 + 0.953837i
\(804\) 0.336185 + 1.77960i 0.0118563 + 0.0627616i
\(805\) −3.37790 12.6065i −0.119055 0.444321i
\(806\) 0.386855 + 2.11845i 0.0136264 + 0.0746193i
\(807\) 10.9298 + 1.92722i 0.384747 + 0.0678413i
\(808\) 19.9555 7.67881i 0.702031 0.270139i
\(809\) 44.5010 25.6926i 1.56457 0.903305i 0.567786 0.823176i \(-0.307800\pi\)
0.996784 0.0801293i \(-0.0255333\pi\)
\(810\) 8.37917 + 9.86331i 0.294414 + 0.346561i
\(811\) −17.0910 + 1.49526i −0.600145 + 0.0525059i −0.383180 0.923674i \(-0.625171\pi\)
−0.216965 + 0.976179i \(0.569616\pi\)
\(812\) 1.29913 5.09582i 0.0455904 0.178828i
\(813\) −5.38672 2.51187i −0.188920 0.0880950i
\(814\) 19.5013 + 8.94943i 0.683519 + 0.313678i
\(815\) 0.236072 + 1.33883i 0.00826922 + 0.0468971i
\(816\) 2.75460 4.14530i 0.0964304 0.145114i
\(817\) 10.9596 + 15.7184i 0.383428 + 0.549918i
\(818\) 17.3133 + 36.5458i 0.605344 + 1.27779i
\(819\) 2.96661 4.23676i 0.103662 0.148044i
\(820\) −26.6480 + 27.3050i −0.930587 + 0.953532i
\(821\) −17.5712 + 37.6815i −0.613239 + 1.31510i 0.317099 + 0.948392i \(0.397291\pi\)
−0.930338 + 0.366703i \(0.880487\pi\)
\(822\) −10.1526 + 12.2501i −0.354113 + 0.427272i
\(823\) −16.9611 + 20.2134i −0.591226 + 0.704596i −0.975841 0.218481i \(-0.929890\pi\)
0.384615 + 0.923077i \(0.374334\pi\)
\(824\) −21.7409 + 22.5501i −0.757381 + 0.785568i
\(825\) −2.34636 + 1.35467i −0.0816897 + 0.0471636i
\(826\) 2.75171 4.83384i 0.0957444 0.168191i
\(827\) −4.06250 5.80185i −0.141267 0.201750i 0.742284 0.670086i \(-0.233743\pi\)
−0.883551 + 0.468336i \(0.844854\pi\)
\(828\) −38.7514 6.34736i −1.34670 0.220586i
\(829\) 9.89456 2.65124i 0.343652 0.0920813i −0.0828650 0.996561i \(-0.526407\pi\)
0.426517 + 0.904479i \(0.359740\pi\)
\(830\) −10.8017 2.82393i −0.374932 0.0980199i
\(831\) 0.639824 + 0.232877i 0.0221953 + 0.00807841i
\(832\) 12.6654 + 16.7508i 0.439094 + 0.580730i
\(833\) 8.28430 6.95135i 0.287034 0.240850i
\(834\) −1.54116 2.17273i −0.0533662 0.0752356i
\(835\) 8.24297 + 8.24297i 0.285260 + 0.285260i
\(836\) 36.6470 + 16.6364i 1.26746 + 0.575383i
\(837\) −1.64039 + 1.64039i −0.0567000 + 0.0567000i
\(838\) 8.74988 51.4531i 0.302260 1.77742i
\(839\) −5.32163 6.34207i −0.183723 0.218952i 0.666320 0.745666i \(-0.267869\pi\)
−0.850043 + 0.526713i \(0.823424\pi\)
\(840\) −3.37209 + 0.357193i −0.116348 + 0.0123243i
\(841\) −6.21936 + 17.0875i −0.214461 + 0.589226i
\(842\) 18.7941 11.0039i 0.647688 0.379219i
\(843\) 4.01494 + 14.9839i 0.138282 + 0.516075i
\(844\) −9.03661 12.5768i −0.311053 0.432912i
\(845\) 10.2538 7.17979i 0.352742 0.246992i
\(846\) −27.6296 + 7.58394i −0.949926 + 0.260741i
\(847\) 4.12264 + 7.14061i 0.141655 + 0.245354i
\(848\) −29.1030 + 14.4440i −0.999403 + 0.496009i
\(849\) −7.66638 6.43285i −0.263109 0.220775i
\(850\) −0.179736 1.91970i −0.00616490 0.0658451i
\(851\) −23.7301 11.0655i −0.813458 0.379322i
\(852\) −7.71472 7.52908i −0.264302 0.257942i
\(853\) 7.39806 + 5.18018i 0.253305 + 0.177366i 0.693331 0.720619i \(-0.256142\pi\)
−0.440027 + 0.897985i \(0.645031\pi\)
\(854\) 2.68949 7.53168i 0.0920324 0.257729i
\(855\) 9.26195 + 19.9660i 0.316752 + 0.682823i
\(856\) −20.3806 33.8566i −0.696593 1.15719i
\(857\) −29.2086 + 5.15027i −0.997747 + 0.175930i −0.648593 0.761136i \(-0.724642\pi\)
−0.349154 + 0.937065i \(0.613531\pi\)
\(858\) −11.7599 + 4.36151i −0.401475 + 0.148900i
\(859\) 20.3072 43.5489i 0.692872 1.48587i −0.172643 0.984985i \(-0.555231\pi\)
0.865514 0.500884i \(-0.166992\pi\)
\(860\) −9.19651 15.4901i −0.313599 0.528208i
\(861\) 0.474813 + 5.42714i 0.0161816 + 0.184957i
\(862\) −0.975197 + 11.9867i −0.0332153 + 0.408269i
\(863\) 14.8060 + 25.6448i 0.504003 + 0.872958i 0.999989 + 0.00462795i \(0.00147313\pi\)
−0.495987 + 0.868330i \(0.665194\pi\)
\(864\) −7.08667 + 21.4838i −0.241093 + 0.730894i
\(865\) −7.29790 + 41.3884i −0.248136 + 1.40725i
\(866\) 15.3110 + 10.5825i 0.520288 + 0.359608i
\(867\) 9.97414 2.67256i 0.338740 0.0907650i
\(868\) 0.172186 + 0.911466i 0.00584437 + 0.0309372i
\(869\) 69.1766 32.2576i 2.34666 1.09426i
\(870\) −6.97405 + 0.0424638i −0.236443 + 0.00143966i
\(871\) 2.08776 + 2.48810i 0.0707412 + 0.0843061i
\(872\) 6.49640 + 7.46099i 0.219996 + 0.252661i
\(873\) 33.8122i 1.14437i
\(874\) −44.5953 20.5731i −1.50846 0.695894i
\(875\) −6.72063 + 6.72063i −0.227199 + 0.227199i
\(876\) −9.10291 + 2.55832i −0.307559 + 0.0864377i
\(877\) −20.5236 1.79558i −0.693033 0.0606325i −0.264803 0.964302i \(-0.585307\pi\)
−0.428230 + 0.903670i \(0.640863\pi\)
\(878\) 24.9351 + 24.6333i 0.841520 + 0.831334i
\(879\) 2.64870 + 0.964049i 0.0893385 + 0.0325166i
\(880\) −33.2180 18.1145i −1.11978 0.610639i
\(881\) 9.68795 16.7800i 0.326395 0.565333i −0.655398 0.755283i \(-0.727499\pi\)
0.981794 + 0.189950i \(0.0608326\pi\)
\(882\) −12.6045 + 18.2364i −0.424415 + 0.614052i
\(883\) −19.1290 + 13.3943i −0.643741 + 0.450752i −0.849313 0.527890i \(-0.822983\pi\)
0.205572 + 0.978642i \(0.434095\pi\)
\(884\) 0.669608 8.90076i 0.0225213 0.299365i
\(885\) −7.12517 1.90918i −0.239510 0.0641765i
\(886\) −22.6842 26.7021i −0.762091 0.897075i
\(887\) 16.3138 19.4421i 0.547765 0.652800i −0.419145 0.907919i \(-0.637670\pi\)
0.966910 + 0.255119i \(0.0821146\pi\)
\(888\) −3.79956 + 5.64297i −0.127505 + 0.189366i
\(889\) 0.645524 + 1.77356i 0.0216502 + 0.0594834i
\(890\) −34.7190 + 12.8766i −1.16378 + 0.431625i
\(891\) 16.8906 + 11.8269i 0.565856 + 0.396217i
\(892\) −9.40809 + 11.4935i −0.315006 + 0.384831i
\(893\) −35.8343 0.0713440i −1.19915 0.00238744i
\(894\) −15.2163 + 7.20858i −0.508908 + 0.241091i
\(895\) 8.01233 + 45.4402i 0.267823 + 1.51890i
\(896\) 5.49930 + 7.18186i 0.183719 + 0.239929i
\(897\) 14.3825 5.23481i 0.480218 0.174785i
\(898\) −37.5820 + 3.51871i −1.25413 + 0.117421i
\(899\) 0.166273 + 1.90051i 0.00554552 + 0.0633856i
\(900\) 1.39693 + 3.69731i 0.0465643 + 0.123244i
\(901\) 13.3392 + 3.57422i 0.444392 + 0.119075i
\(902\) −30.0725 + 52.8272i −1.00130 + 1.75895i
\(903\) −2.53318 0.446668i −0.0842990 0.0148642i
\(904\) 47.2331 13.5854i 1.57095 0.451845i
\(905\) −19.5680 11.2976i −0.650463 0.375545i
\(906\) −9.38458 + 5.49465i −0.311782 + 0.182547i
\(907\) −40.0484 + 18.6749i −1.32979 + 0.620089i −0.952084 0.305838i \(-0.901063\pi\)
−0.377702 + 0.925927i \(0.623286\pi\)
\(908\) 24.1698 11.6310i 0.802104 0.385987i
\(909\) 18.5590 + 1.62371i 0.615564 + 0.0538549i
\(910\) −4.96022 + 3.51839i −0.164430 + 0.116633i
\(911\) 58.1693 1.92724 0.963618 0.267283i \(-0.0861260\pi\)
0.963618 + 0.267283i \(0.0861260\pi\)
\(912\) −7.08341 + 10.6136i −0.234555 + 0.351453i
\(913\) −17.7880 −0.588696
\(914\) 38.8637 27.5668i 1.28550 0.911829i
\(915\) −10.5658 0.924388i −0.349295 0.0305593i
\(916\) −9.47908 19.6981i −0.313198 0.650843i
\(917\) 1.71391 0.799211i 0.0565984 0.0263923i
\(918\) 8.29783 4.85836i 0.273869 0.160350i
\(919\) −18.9377 10.9337i −0.624698 0.360670i 0.153998 0.988071i \(-0.450785\pi\)
−0.778696 + 0.627402i \(0.784118\pi\)
\(920\) 40.4001 + 22.3512i 1.33195 + 0.736897i
\(921\) 18.7844 + 3.31220i 0.618967 + 0.109141i
\(922\) −26.5905 + 46.7107i −0.875712 + 1.53833i
\(923\) −18.6738 5.00362i −0.614655 0.164696i
\(924\) −5.05389 + 1.90947i −0.166261 + 0.0628171i
\(925\) 0.229692 + 2.62539i 0.00755222 + 0.0863222i
\(926\) −45.8036 + 4.28847i −1.50520 + 0.140928i
\(927\) −25.6463 + 9.33447i −0.842334 + 0.306584i
\(928\) 9.78807 + 15.8209i 0.321309 + 0.519345i
\(929\) 0.672356 + 3.81312i 0.0220593 + 0.125104i 0.993849 0.110745i \(-0.0353238\pi\)
−0.971790 + 0.235850i \(0.924213\pi\)
\(930\) 1.11171 0.526665i 0.0364545 0.0172700i
\(931\) −21.2748 + 17.7796i −0.697252 + 0.582702i
\(932\) 23.3597 + 19.1213i 0.765174 + 0.626338i
\(933\) 2.20360 + 1.54298i 0.0721426 + 0.0505148i
\(934\) 9.80725 3.63732i 0.320903 0.119017i
\(935\) 5.50035 + 15.1121i 0.179881 + 0.494218i
\(936\) 3.50588 + 17.9582i 0.114593 + 0.586983i
\(937\) 32.7360 39.0133i 1.06944 1.27451i 0.109594 0.993976i \(-0.465045\pi\)
0.959845 0.280532i \(-0.0905108\pi\)
\(938\) 0.905788 + 1.06622i 0.0295750 + 0.0348134i
\(939\) −6.25180 1.67516i −0.204020 0.0546669i
\(940\) 33.5934 + 2.52724i 1.09570 + 0.0824296i
\(941\) 36.7753 25.7504i 1.19884 0.839438i 0.208491 0.978024i \(-0.433145\pi\)
0.990350 + 0.138587i \(0.0442559\pi\)
\(942\) 12.5535 18.1626i 0.409015 0.591770i
\(943\) 37.0887 64.2396i 1.20778 2.09193i
\(944\) 5.55418 + 18.8770i 0.180773 + 0.614395i
\(945\) −6.15609 2.24063i −0.200258 0.0728878i
\(946\) −20.4180 20.1708i −0.663845 0.655810i
\(947\) −33.8070 2.95773i −1.09858 0.0961133i −0.476580 0.879131i \(-0.658124\pi\)
−0.621999 + 0.783018i \(0.713679\pi\)
\(948\) 6.54761 + 23.2974i 0.212657 + 0.756665i
\(949\) −11.9909 + 11.9909i −0.389241 + 0.389241i
\(950\) 0.451009 + 4.92264i 0.0146327 + 0.159711i
\(951\) 2.94828i 0.0956046i
\(952\) 0.265077 3.83558i 0.00859118 0.124312i
\(953\) 14.4977 + 17.2777i 0.469627 + 0.559680i 0.947915 0.318523i \(-0.103187\pi\)
−0.478288 + 0.878203i \(0.658743\pi\)
\(954\) −28.3081 + 0.172363i −0.916507 + 0.00558045i
\(955\) 23.2713 10.8516i 0.753042 0.351149i
\(956\) −12.4570 + 2.35325i −0.402887 + 0.0761097i
\(957\) −10.7329 + 2.87587i −0.346945 + 0.0929635i
\(958\) −38.5225 26.6257i −1.24461 0.860237i
\(959\) −2.13424 + 12.1039i −0.0689181 + 0.390854i
\(960\) 7.37013 9.46502i 0.237870 0.305482i
\(961\) 15.3317 + 26.5554i 0.494572 + 0.856625i
\(962\) −0.989313 + 12.1602i −0.0318967 + 0.392061i
\(963\) −3.00090 34.3004i −0.0967025 1.10531i
\(964\) −9.05166 + 5.37399i −0.291534 + 0.173085i
\(965\) 13.6891 29.3564i 0.440668 0.945015i
\(966\) 6.18125 2.29251i 0.198878 0.0737602i
\(967\) 25.6383 4.52072i 0.824471 0.145377i 0.254533 0.967064i \(-0.418078\pi\)
0.569938 + 0.821688i \(0.306967\pi\)
\(968\) −28.3083 7.03361i −0.909863 0.226069i
\(969\) 5.24162 1.39331i 0.168385 0.0447596i
\(970\) −13.3697 + 37.4407i −0.429275 + 1.20215i
\(971\) −32.0790 22.4619i −1.02946 0.720838i −0.0685389 0.997648i \(-0.521834\pi\)
−0.960925 + 0.276810i \(0.910723\pi\)
\(972\) −21.3251 + 21.8509i −0.684001 + 0.700866i
\(973\) −1.86497 0.869651i −0.0597883 0.0278797i
\(974\) 2.02367 + 21.6140i 0.0648424 + 0.692558i
\(975\) −1.18012 0.990242i −0.0377942 0.0317131i
\(976\) 12.5778 + 25.3428i 0.402605 + 0.811204i
\(977\) −21.1110 36.5654i −0.675402 1.16983i −0.976351 0.216190i \(-0.930637\pi\)
0.300949 0.953640i \(-0.402697\pi\)
\(978\) −0.662233 + 0.181774i −0.0211759 + 0.00581248i
\(979\) −48.3277 + 33.8394i −1.54456 + 1.08151i
\(980\) 21.1680 15.2094i 0.676186 0.485848i
\(981\) 2.23093 + 8.32594i 0.0712280 + 0.265827i
\(982\) −14.5504 + 8.51920i −0.464321 + 0.271859i
\(983\) −2.38862 + 6.56269i −0.0761853 + 0.209317i −0.971939 0.235234i \(-0.924414\pi\)
0.895754 + 0.444551i \(0.146637\pi\)
\(984\) −14.9876 12.1166i −0.477787 0.386262i
\(985\) −3.78534 4.51119i −0.120611 0.143738i
\(986\) 1.32567 7.79554i 0.0422181 0.248261i
\(987\) 3.40141 3.40141i 0.108268 0.108268i
\(988\) −1.76217 + 22.8163i −0.0560622 + 0.725884i
\(989\) 24.7654 + 24.7654i 0.787493 + 0.787493i
\(990\) −19.0728 26.8889i −0.606174 0.854585i
\(991\) 28.5226 23.9333i 0.906049 0.760266i −0.0653141 0.997865i \(-0.520805\pi\)
0.971363 + 0.237599i \(0.0763605\pi\)
\(992\) −2.74409 1.79949i −0.0871249 0.0571340i
\(993\) 4.04466 + 1.47214i 0.128354 + 0.0467169i
\(994\) −8.05648 2.10624i −0.255536 0.0668057i
\(995\) 4.66664 1.25042i 0.147942 0.0396410i
\(996\) 0.911625 5.56557i 0.0288859 0.176352i
\(997\) −31.1712 44.5171i −0.987203 1.40987i −0.910825 0.412792i \(-0.864554\pi\)
−0.0763773 0.997079i \(-0.524335\pi\)
\(998\) −8.62071 + 15.1437i −0.272884 + 0.479365i
\(999\) −11.3821 + 6.57147i −0.360115 + 0.207912i
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 304.2.bi.a.237.27 yes 456
16.5 even 4 inner 304.2.bi.a.85.16 456
19.17 even 9 inner 304.2.bi.a.93.16 yes 456
304.245 even 36 inner 304.2.bi.a.245.27 yes 456
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
304.2.bi.a.85.16 456 16.5 even 4 inner
304.2.bi.a.93.16 yes 456 19.17 even 9 inner
304.2.bi.a.237.27 yes 456 1.1 even 1 trivial
304.2.bi.a.245.27 yes 456 304.245 even 36 inner