Properties

Label 429.2.bs.b.7.10
Level $429$
Weight $2$
Character 429.7
Analytic conductor $3.426$
Analytic rank $0$
Dimension $224$
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] = [429,2,Mod(7,429)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(429, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([0, 42, 55]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("429.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 429 = 3 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 429.bs (of order \(60\), degree \(16\), 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: \(3.42558224671\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(14\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 7.10
Character \(\chi\) \(=\) 429.7
Dual form 429.2.bs.b.184.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.400304 - 1.04283i) q^{2} +(0.669131 + 0.743145i) q^{3} +(0.559044 + 0.503365i) q^{4} +(-0.769642 - 0.121899i) q^{5} +(1.04283 - 0.400304i) q^{6} +(0.172980 - 0.00906547i) q^{7} +(2.73925 - 1.39572i) q^{8} +(-0.104528 + 0.994522i) q^{9} +O(q^{10})\) \(q+(0.400304 - 1.04283i) q^{2} +(0.669131 + 0.743145i) q^{3} +(0.559044 + 0.503365i) q^{4} +(-0.769642 - 0.121899i) q^{5} +(1.04283 - 0.400304i) q^{6} +(0.172980 - 0.00906547i) q^{7} +(2.73925 - 1.39572i) q^{8} +(-0.104528 + 0.994522i) q^{9} +(-0.435211 + 0.753807i) q^{10} +(2.86570 - 1.66966i) q^{11} +0.752268i q^{12} +(-2.20197 + 2.85505i) q^{13} +(0.0597907 - 0.184017i) q^{14} +(-0.424402 - 0.653522i) q^{15} +(-0.201694 - 1.91899i) q^{16} +(4.58485 + 2.04131i) q^{17} +(0.995272 + 0.507116i) q^{18} +(1.51852 - 2.33831i) q^{19} +(-0.368904 - 0.455558i) q^{20} +(0.122483 + 0.122483i) q^{21} +(-0.594018 - 3.65680i) q^{22} +(0.636221 + 0.367322i) q^{23} +(2.87014 + 1.10174i) q^{24} +(-4.17779 - 1.35745i) q^{25} +(2.09587 + 3.43916i) q^{26} +(-0.809017 + 0.587785i) q^{27} +(0.101266 + 0.0820039i) q^{28} +(0.0587183 - 0.276248i) q^{29} +(-0.851401 + 0.180971i) q^{30} +(0.874113 + 5.51893i) q^{31} +(3.85725 + 1.03355i) q^{32} +(3.15833 + 1.01241i) q^{33} +(3.96407 - 3.96407i) q^{34} +(-0.134237 - 0.0141089i) q^{35} +(-0.559044 + 0.503365i) q^{36} +(0.541893 - 0.351910i) q^{37} +(-1.83059 - 2.51959i) q^{38} +(-3.59512 + 0.274020i) q^{39} +(-2.27838 + 0.740292i) q^{40} +(-1.37251 - 0.0719303i) q^{41} +(0.176759 - 0.0786981i) q^{42} +(-5.16037 - 8.93802i) q^{43} +(2.44250 + 0.509079i) q^{44} +(0.201681 - 0.752684i) q^{45} +(0.637736 - 0.516428i) q^{46} +(-0.543004 - 1.06571i) q^{47} +(1.29113 - 1.43394i) q^{48} +(-6.93181 + 0.728563i) q^{49} +(-3.08797 + 3.81333i) q^{50} +(1.55088 + 4.77311i) q^{51} +(-2.66813 + 0.487704i) q^{52} +(-10.4147 - 7.56674i) q^{53} +(0.289106 + 1.07896i) q^{54} +(-2.40909 + 0.935715i) q^{55} +(0.461182 - 0.266263i) q^{56} +(2.75379 - 0.436158i) q^{57} +(-0.264574 - 0.171816i) q^{58} +(-0.578874 - 11.0456i) q^{59} +(0.0917009 - 0.578977i) q^{60} +(-5.47601 + 12.2993i) q^{61} +(6.10521 + 1.29770i) q^{62} +(-0.00906547 + 0.172980i) q^{63} +(4.89022 - 6.73080i) q^{64} +(2.04276 - 1.92895i) q^{65} +(2.32006 - 2.88832i) q^{66} +(-4.83907 + 1.29663i) q^{67} +(1.53561 + 3.44904i) q^{68} +(0.152741 + 0.718591i) q^{69} +(-0.0684490 + 0.134339i) q^{70} +(-1.49016 - 3.88199i) q^{71} +(1.10174 + 2.87014i) q^{72} +(3.63895 - 7.14184i) q^{73} +(-0.150059 - 0.705972i) q^{74} +(-1.78671 - 4.01301i) q^{75} +(2.02594 - 0.542850i) q^{76} +(0.480571 - 0.314796i) q^{77} +(-1.15339 + 3.85879i) q^{78} +(-3.63885 + 5.00845i) q^{79} +(-0.0786914 + 1.50152i) q^{80} +(-0.978148 - 0.207912i) q^{81} +(-0.624433 + 1.40250i) q^{82} +(-2.22276 + 14.0340i) q^{83} +(0.00681966 + 0.130127i) q^{84} +(-3.27986 - 2.12997i) q^{85} +(-11.3865 + 1.80345i) q^{86} +(0.244582 - 0.141210i) q^{87} +(5.51950 - 8.57334i) q^{88} +(-0.404315 - 1.50892i) q^{89} +(-0.704186 - 0.511621i) q^{90} +(-0.355013 + 0.513828i) q^{91} +(0.170778 + 0.525601i) q^{92} +(-3.51647 + 4.34248i) q^{93} +(-1.32871 + 0.139654i) q^{94} +(-1.45375 + 1.61456i) q^{95} +(1.81293 + 3.55807i) q^{96} +(6.01783 - 4.87315i) q^{97} +(-2.01507 + 7.52033i) q^{98} +(1.36097 + 3.02453i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q + 28 q^{3} + 6 q^{5} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q + 28 q^{3} + 6 q^{5} + 28 q^{9} - 8 q^{11} - 10 q^{13} + 36 q^{14} + 8 q^{15} - 8 q^{16} - 22 q^{20} + 10 q^{22} - 48 q^{23} - 30 q^{24} - 2 q^{26} - 56 q^{27} + 20 q^{29} - 4 q^{31} + 28 q^{33} - 72 q^{34} - 20 q^{35} - 36 q^{37} - 20 q^{39} + 80 q^{40} - 70 q^{41} - 8 q^{42} - 24 q^{44} - 4 q^{45} - 40 q^{46} - 42 q^{47} - 28 q^{48} + 24 q^{49} + 180 q^{50} + 10 q^{52} - 4 q^{53} + 82 q^{55} - 72 q^{56} - 132 q^{58} - 66 q^{59} - 16 q^{60} + 60 q^{61} - 120 q^{62} - 60 q^{66} - 12 q^{67} - 60 q^{68} - 12 q^{69} - 44 q^{70} - 32 q^{71} + 30 q^{72} - 70 q^{73} + 60 q^{74} + 12 q^{75} + 52 q^{78} - 120 q^{79} - 44 q^{80} + 28 q^{81} + 6 q^{82} - 240 q^{83} + 60 q^{84} + 40 q^{85} + 10 q^{86} + 6 q^{88} - 24 q^{89} + 88 q^{91} + 48 q^{92} + 20 q^{93} - 40 q^{94} - 300 q^{95} - 46 q^{97} + 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).

\(n\) \(67\) \(79\) \(287\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{7}{10}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.400304 1.04283i 0.283058 0.737390i −0.716164 0.697932i \(-0.754104\pi\)
0.999221 0.0394579i \(-0.0125631\pi\)
\(3\) 0.669131 + 0.743145i 0.386323 + 0.429055i
\(4\) 0.559044 + 0.503365i 0.279522 + 0.251683i
\(5\) −0.769642 0.121899i −0.344195 0.0545151i −0.0180558 0.999837i \(-0.505748\pi\)
−0.326139 + 0.945322i \(0.605748\pi\)
\(6\) 1.04283 0.400304i 0.425733 0.163423i
\(7\) 0.172980 0.00906547i 0.0653801 0.00342643i −0.0196179 0.999808i \(-0.506245\pi\)
0.0849980 + 0.996381i \(0.472912\pi\)
\(8\) 2.73925 1.39572i 0.968472 0.493461i
\(9\) −0.104528 + 0.994522i −0.0348428 + 0.331507i
\(10\) −0.435211 + 0.753807i −0.137626 + 0.238375i
\(11\) 2.86570 1.66966i 0.864041 0.503422i
\(12\) 0.752268i 0.217161i
\(13\) −2.20197 + 2.85505i −0.610717 + 0.791849i
\(14\) 0.0597907 0.184017i 0.0159797 0.0491805i
\(15\) −0.424402 0.653522i −0.109580 0.168739i
\(16\) −0.201694 1.91899i −0.0504234 0.479747i
\(17\) 4.58485 + 2.04131i 1.11199 + 0.495090i 0.878727 0.477324i \(-0.158393\pi\)
0.233263 + 0.972414i \(0.425060\pi\)
\(18\) 0.995272 + 0.507116i 0.234588 + 0.119528i
\(19\) 1.51852 2.33831i 0.348372 0.536446i −0.620437 0.784257i \(-0.713045\pi\)
0.968808 + 0.247811i \(0.0797112\pi\)
\(20\) −0.368904 0.455558i −0.0824894 0.101866i
\(21\) 0.122483 + 0.122483i 0.0267279 + 0.0267279i
\(22\) −0.594018 3.65680i −0.126645 0.779633i
\(23\) 0.636221 + 0.367322i 0.132661 + 0.0765920i 0.564862 0.825185i \(-0.308929\pi\)
−0.432201 + 0.901777i \(0.642263\pi\)
\(24\) 2.87014 + 1.10174i 0.585865 + 0.224892i
\(25\) −4.17779 1.35745i −0.835559 0.271489i
\(26\) 2.09587 + 3.43916i 0.411034 + 0.674476i
\(27\) −0.809017 + 0.587785i −0.155695 + 0.113119i
\(28\) 0.101266 + 0.0820039i 0.0191375 + 0.0154973i
\(29\) 0.0587183 0.276248i 0.0109037 0.0512979i −0.972359 0.233489i \(-0.924986\pi\)
0.983263 + 0.182191i \(0.0583190\pi\)
\(30\) −0.851401 + 0.180971i −0.155444 + 0.0330406i
\(31\) 0.874113 + 5.51893i 0.156995 + 0.991230i 0.932836 + 0.360301i \(0.117326\pi\)
−0.775841 + 0.630929i \(0.782674\pi\)
\(32\) 3.85725 + 1.03355i 0.681872 + 0.182707i
\(33\) 3.15833 + 1.01241i 0.549794 + 0.176238i
\(34\) 3.96407 3.96407i 0.679832 0.679832i
\(35\) −0.134237 0.0141089i −0.0226903 0.00238484i
\(36\) −0.559044 + 0.503365i −0.0931740 + 0.0838942i
\(37\) 0.541893 0.351910i 0.0890867 0.0578536i −0.499327 0.866414i \(-0.666419\pi\)
0.588414 + 0.808560i \(0.299753\pi\)
\(38\) −1.83059 2.51959i −0.296961 0.408731i
\(39\) −3.59512 + 0.274020i −0.575680 + 0.0438784i
\(40\) −2.27838 + 0.740292i −0.360244 + 0.117050i
\(41\) −1.37251 0.0719303i −0.214350 0.0112336i −0.0551415 0.998479i \(-0.517561\pi\)
−0.159209 + 0.987245i \(0.550894\pi\)
\(42\) 0.176759 0.0786981i 0.0272745 0.0121434i
\(43\) −5.16037 8.93802i −0.786949 1.36303i −0.927828 0.373008i \(-0.878326\pi\)
0.140879 0.990027i \(-0.455007\pi\)
\(44\) 2.44250 + 0.509079i 0.368221 + 0.0767466i
\(45\) 0.201681 0.752684i 0.0300648 0.112204i
\(46\) 0.637736 0.516428i 0.0940290 0.0761432i
\(47\) −0.543004 1.06571i −0.0792053 0.155449i 0.848007 0.529984i \(-0.177802\pi\)
−0.927213 + 0.374535i \(0.877802\pi\)
\(48\) 1.29113 1.43394i 0.186358 0.206972i
\(49\) −6.93181 + 0.728563i −0.990259 + 0.104080i
\(50\) −3.08797 + 3.81333i −0.436705 + 0.539286i
\(51\) 1.55088 + 4.77311i 0.217166 + 0.668369i
\(52\) −2.66813 + 0.487704i −0.370003 + 0.0676324i
\(53\) −10.4147 7.56674i −1.43057 1.03937i −0.989910 0.141699i \(-0.954744\pi\)
−0.440662 0.897673i \(-0.645256\pi\)
\(54\) 0.289106 + 1.07896i 0.0393423 + 0.146828i
\(55\) −2.40909 + 0.935715i −0.324842 + 0.126172i
\(56\) 0.461182 0.266263i 0.0616280 0.0355810i
\(57\) 2.75379 0.436158i 0.364749 0.0577705i
\(58\) −0.264574 0.171816i −0.0347402 0.0225606i
\(59\) −0.578874 11.0456i −0.0753630 1.43801i −0.730712 0.682686i \(-0.760812\pi\)
0.655349 0.755326i \(-0.272522\pi\)
\(60\) 0.0917009 0.578977i 0.0118385 0.0747456i
\(61\) −5.47601 + 12.2993i −0.701131 + 1.57477i 0.112677 + 0.993632i \(0.464058\pi\)
−0.813808 + 0.581134i \(0.802609\pi\)
\(62\) 6.10521 + 1.29770i 0.775362 + 0.164808i
\(63\) −0.00906547 + 0.172980i −0.00114214 + 0.0217934i
\(64\) 4.89022 6.73080i 0.611277 0.841351i
\(65\) 2.04276 1.92895i 0.253373 0.239257i
\(66\) 2.32006 2.88832i 0.285579 0.355528i
\(67\) −4.83907 + 1.29663i −0.591187 + 0.158408i −0.541996 0.840381i \(-0.682331\pi\)
−0.0491912 + 0.998789i \(0.515664\pi\)
\(68\) 1.53561 + 3.44904i 0.186220 + 0.418257i
\(69\) 0.152741 + 0.718591i 0.0183879 + 0.0865082i
\(70\) −0.0684490 + 0.134339i −0.00818121 + 0.0160565i
\(71\) −1.49016 3.88199i −0.176849 0.460707i 0.816291 0.577641i \(-0.196027\pi\)
−0.993140 + 0.116934i \(0.962693\pi\)
\(72\) 1.10174 + 2.87014i 0.129842 + 0.338249i
\(73\) 3.63895 7.14184i 0.425907 0.835890i −0.573948 0.818891i \(-0.694589\pi\)
0.999856 0.0169982i \(-0.00541096\pi\)
\(74\) −0.150059 0.705972i −0.0174440 0.0820676i
\(75\) −1.78671 4.01301i −0.206311 0.463383i
\(76\) 2.02594 0.542850i 0.232392 0.0622691i
\(77\) 0.480571 0.314796i 0.0547661 0.0358744i
\(78\) −1.15339 + 3.85879i −0.130595 + 0.436921i
\(79\) −3.63885 + 5.00845i −0.409403 + 0.563495i −0.963073 0.269241i \(-0.913227\pi\)
0.553670 + 0.832736i \(0.313227\pi\)
\(80\) −0.0786914 + 1.50152i −0.00879796 + 0.167875i
\(81\) −0.978148 0.207912i −0.108683 0.0231013i
\(82\) −0.624433 + 1.40250i −0.0689571 + 0.154880i
\(83\) −2.22276 + 14.0340i −0.243980 + 1.54043i 0.496312 + 0.868144i \(0.334687\pi\)
−0.740292 + 0.672286i \(0.765313\pi\)
\(84\) 0.00681966 + 0.130127i 0.000744086 + 0.0141980i
\(85\) −3.27986 2.12997i −0.355751 0.231027i
\(86\) −11.3865 + 1.80345i −1.22784 + 0.194471i
\(87\) 0.244582 0.141210i 0.0262220 0.0151393i
\(88\) 5.51950 8.57334i 0.588380 0.913921i
\(89\) −0.404315 1.50892i −0.0428573 0.159946i 0.941181 0.337903i \(-0.109718\pi\)
−0.984038 + 0.177958i \(0.943051\pi\)
\(90\) −0.704186 0.511621i −0.0742277 0.0539296i
\(91\) −0.355013 + 0.513828i −0.0372155 + 0.0538638i
\(92\) 0.170778 + 0.525601i 0.0178048 + 0.0547977i
\(93\) −3.51647 + 4.34248i −0.364641 + 0.450294i
\(94\) −1.32871 + 0.139654i −0.137046 + 0.0144042i
\(95\) −1.45375 + 1.61456i −0.149152 + 0.165650i
\(96\) 1.81293 + 3.55807i 0.185031 + 0.363144i
\(97\) 6.01783 4.87315i 0.611018 0.494793i −0.273144 0.961973i \(-0.588063\pi\)
0.884162 + 0.467180i \(0.154730\pi\)
\(98\) −2.01507 + 7.52033i −0.203553 + 0.759668i
\(99\) 1.36097 + 3.02453i 0.136782 + 0.303976i
\(100\) −1.65228 2.86183i −0.165228 0.286183i
\(101\) 13.9550 6.21315i 1.38857 0.618231i 0.429932 0.902861i \(-0.358537\pi\)
0.958637 + 0.284630i \(0.0918707\pi\)
\(102\) 5.59835 + 0.293397i 0.554320 + 0.0290507i
\(103\) −9.38909 + 3.05070i −0.925134 + 0.300594i −0.732571 0.680690i \(-0.761680\pi\)
−0.192563 + 0.981285i \(0.561680\pi\)
\(104\) −2.04690 + 10.8940i −0.200715 + 1.06825i
\(105\) −0.0793374 0.109199i −0.00774254 0.0106567i
\(106\) −12.0599 + 7.83176i −1.17136 + 0.760688i
\(107\) −5.74586 + 5.17360i −0.555473 + 0.500150i −0.898380 0.439219i \(-0.855255\pi\)
0.342907 + 0.939369i \(0.388589\pi\)
\(108\) −0.748147 0.0786334i −0.0719904 0.00756650i
\(109\) 1.26876 1.26876i 0.121525 0.121525i −0.643729 0.765254i \(-0.722613\pi\)
0.765254 + 0.643729i \(0.222613\pi\)
\(110\) 0.0114199 + 2.88684i 0.00108884 + 0.275249i
\(111\) 0.624117 + 0.167232i 0.0592386 + 0.0158729i
\(112\) −0.0522854 0.330117i −0.00494051 0.0311931i
\(113\) −5.93779 + 1.26212i −0.558580 + 0.118730i −0.478546 0.878062i \(-0.658836\pi\)
−0.0800338 + 0.996792i \(0.525503\pi\)
\(114\) 0.647516 3.04632i 0.0606455 0.285314i
\(115\) −0.444886 0.360262i −0.0414859 0.0335946i
\(116\) 0.171880 0.124878i 0.0159586 0.0115946i
\(117\) −2.60924 2.48834i −0.241225 0.230047i
\(118\) −11.7504 3.81792i −1.08171 0.351468i
\(119\) 0.811591 + 0.311541i 0.0743984 + 0.0285589i
\(120\) −2.07468 1.19782i −0.189391 0.109345i
\(121\) 5.42446 9.56949i 0.493133 0.869954i
\(122\) 10.6340 + 10.6340i 0.962757 + 0.962757i
\(123\) −0.864935 1.06811i −0.0779886 0.0963078i
\(124\) −2.28937 + 3.52532i −0.205592 + 0.316583i
\(125\) 6.52146 + 3.32285i 0.583297 + 0.297205i
\(126\) 0.176759 + 0.0786981i 0.0157469 + 0.00701098i
\(127\) 2.11450 + 20.1182i 0.187632 + 1.78520i 0.532382 + 0.846504i \(0.321297\pi\)
−0.344750 + 0.938694i \(0.612036\pi\)
\(128\) −0.711661 1.09586i −0.0629025 0.0968614i
\(129\) 3.18928 9.81560i 0.280801 0.864216i
\(130\) −1.19384 2.90241i −0.104707 0.254558i
\(131\) 2.23674i 0.195425i −0.995215 0.0977124i \(-0.968847\pi\)
0.995215 0.0977124i \(-0.0311525\pi\)
\(132\) 1.25603 + 2.15577i 0.109324 + 0.187636i
\(133\) 0.241475 0.418246i 0.0209385 0.0362665i
\(134\) −0.584943 + 5.56536i −0.0505314 + 0.480774i
\(135\) 0.694304 0.353766i 0.0597562 0.0304473i
\(136\) 15.4082 0.807508i 1.32124 0.0692432i
\(137\) −12.7476 + 4.89334i −1.08910 + 0.418066i −0.835639 0.549280i \(-0.814902\pi\)
−0.253461 + 0.967346i \(0.581569\pi\)
\(138\) 0.810509 + 0.128372i 0.0689951 + 0.0109278i
\(139\) −1.97845 1.78140i −0.167810 0.151096i 0.580947 0.813941i \(-0.302682\pi\)
−0.748757 + 0.662845i \(0.769349\pi\)
\(140\) −0.0679427 0.0754580i −0.00574220 0.00637736i
\(141\) 0.428633 1.11663i 0.0360974 0.0940370i
\(142\) −4.64476 −0.389780
\(143\) −1.54321 + 11.8583i −0.129050 + 0.991638i
\(144\) 1.92956 0.160797
\(145\) −0.0788665 + 0.205454i −0.00654951 + 0.0170621i
\(146\) −5.99102 6.65371i −0.495821 0.550665i
\(147\) −5.17972 4.66384i −0.427216 0.384667i
\(148\) 0.480081 + 0.0760374i 0.0394624 + 0.00625023i
\(149\) −0.860006 + 0.330125i −0.0704545 + 0.0270449i −0.393340 0.919393i \(-0.628680\pi\)
0.322886 + 0.946438i \(0.395347\pi\)
\(150\) −4.90011 + 0.256804i −0.400092 + 0.0209679i
\(151\) −5.98585 + 3.04994i −0.487121 + 0.248201i −0.680260 0.732971i \(-0.738133\pi\)
0.193139 + 0.981171i \(0.438133\pi\)
\(152\) 0.895977 8.52465i 0.0726734 0.691441i
\(153\) −2.50937 + 4.34636i −0.202871 + 0.351382i
\(154\) −0.135904 0.627167i −0.0109514 0.0505385i
\(155\) 4.35416i 0.349735i
\(156\) −2.14776 1.65647i −0.171959 0.132624i
\(157\) 0.0675702 0.207960i 0.00539269 0.0165970i −0.948324 0.317304i \(-0.897223\pi\)
0.953717 + 0.300707i \(0.0972225\pi\)
\(158\) 3.76630 + 5.79960i 0.299631 + 0.461391i
\(159\) −1.34563 12.8028i −0.106715 1.01533i
\(160\) −2.84271 1.26566i −0.224736 0.100059i
\(161\) 0.113383 + 0.0577716i 0.00893584 + 0.00455304i
\(162\) −0.608372 + 0.936811i −0.0477983 + 0.0736029i
\(163\) 6.47951 + 8.00153i 0.507514 + 0.626728i 0.964924 0.262528i \(-0.0845562\pi\)
−0.457410 + 0.889256i \(0.651223\pi\)
\(164\) −0.731087 0.731087i −0.0570883 0.0570883i
\(165\) −2.30737 1.16419i −0.179629 0.0906321i
\(166\) 13.7452 + 7.93582i 1.06684 + 0.615939i
\(167\) 6.88004 + 2.64100i 0.532394 + 0.204367i 0.609688 0.792642i \(-0.291295\pi\)
−0.0772942 + 0.997008i \(0.524628\pi\)
\(168\) 0.506463 + 0.164560i 0.0390745 + 0.0126961i
\(169\) −3.30265 12.5735i −0.254050 0.967191i
\(170\) −3.53413 + 2.56770i −0.271055 + 0.196933i
\(171\) 2.16677 + 1.75462i 0.165697 + 0.134179i
\(172\) 1.61422 7.59429i 0.123083 0.579059i
\(173\) 16.6436 3.53770i 1.26539 0.268966i 0.474132 0.880454i \(-0.342762\pi\)
0.791254 + 0.611488i \(0.209429\pi\)
\(174\) −0.0493501 0.311584i −0.00374122 0.0236211i
\(175\) −0.734978 0.196937i −0.0555591 0.0148870i
\(176\) −3.78205 5.16248i −0.285083 0.389137i
\(177\) 7.82112 7.82112i 0.587872 0.587872i
\(178\) −1.73540 0.182398i −0.130073 0.0136713i
\(179\) 18.3693 16.5398i 1.37299 1.23624i 0.430248 0.902711i \(-0.358426\pi\)
0.942739 0.333533i \(-0.108241\pi\)
\(180\) 0.491624 0.319264i 0.0366435 0.0237965i
\(181\) −3.07771 4.23611i −0.228765 0.314868i 0.679169 0.733982i \(-0.262341\pi\)
−0.907933 + 0.419115i \(0.862341\pi\)
\(182\) 0.393720 + 0.575905i 0.0291845 + 0.0426889i
\(183\) −12.8043 + 4.16038i −0.946524 + 0.307544i
\(184\) 2.25545 + 0.118203i 0.166274 + 0.00871405i
\(185\) −0.459962 + 0.204788i −0.0338170 + 0.0150563i
\(186\) 3.12080 + 5.40539i 0.228828 + 0.396342i
\(187\) 16.5471 1.80538i 1.21004 0.132022i
\(188\) 0.232876 0.869106i 0.0169842 0.0633860i
\(189\) −0.134615 + 0.109009i −0.00979179 + 0.00792923i
\(190\) 1.10176 + 2.16233i 0.0799302 + 0.156872i
\(191\) 3.77216 4.18940i 0.272944 0.303135i −0.591052 0.806633i \(-0.701287\pi\)
0.863996 + 0.503498i \(0.167954\pi\)
\(192\) 8.27416 0.869649i 0.597136 0.0627615i
\(193\) 0.925114 1.14242i 0.0665911 0.0822332i −0.742762 0.669556i \(-0.766485\pi\)
0.809353 + 0.587322i \(0.199818\pi\)
\(194\) −2.67289 8.22630i −0.191902 0.590614i
\(195\) 2.80036 + 0.227346i 0.200538 + 0.0162806i
\(196\) −4.24192 3.08194i −0.302994 0.220138i
\(197\) 1.21361 + 4.52926i 0.0864663 + 0.322697i 0.995588 0.0938343i \(-0.0299124\pi\)
−0.909121 + 0.416531i \(0.863246\pi\)
\(198\) 3.69886 0.208524i 0.262867 0.0148192i
\(199\) 9.65646 5.57516i 0.684528 0.395212i −0.117031 0.993128i \(-0.537338\pi\)
0.801559 + 0.597916i \(0.204004\pi\)
\(200\) −13.3386 + 2.11263i −0.943185 + 0.149386i
\(201\) −4.20155 2.72852i −0.296355 0.192455i
\(202\) −0.893016 17.0398i −0.0628324 1.19891i
\(203\) 0.00765274 0.0483175i 0.000537117 0.00339122i
\(204\) −1.53561 + 3.44904i −0.107514 + 0.241481i
\(205\) 1.04757 + 0.222669i 0.0731658 + 0.0155519i
\(206\) −0.577136 + 11.0124i −0.0402110 + 0.767271i
\(207\) −0.431813 + 0.594340i −0.0300131 + 0.0413095i
\(208\) 5.92294 + 3.64971i 0.410682 + 0.253062i
\(209\) 0.447424 9.23631i 0.0309490 0.638889i
\(210\) −0.145634 + 0.0390226i −0.0100497 + 0.00269282i
\(211\) 3.81000 + 8.55739i 0.262291 + 0.589115i 0.995900 0.0904561i \(-0.0288325\pi\)
−0.733609 + 0.679571i \(0.762166\pi\)
\(212\) −2.01345 9.47255i −0.138284 0.650577i
\(213\) 1.88777 3.70496i 0.129348 0.253860i
\(214\) 3.09508 + 8.06295i 0.211575 + 0.551172i
\(215\) 2.88210 + 7.50812i 0.196557 + 0.512050i
\(216\) −1.39572 + 2.73925i −0.0949667 + 0.186383i
\(217\) 0.201235 + 0.946738i 0.0136608 + 0.0642688i
\(218\) −0.815209 1.83099i −0.0552129 0.124010i
\(219\) 7.74236 2.07456i 0.523180 0.140186i
\(220\) −1.81780 0.689548i −0.122556 0.0464893i
\(221\) −15.9237 + 8.59510i −1.07115 + 0.578169i
\(222\) 0.424230 0.583903i 0.0284725 0.0391890i
\(223\) −0.713851 + 13.6211i −0.0478030 + 0.912135i 0.864503 + 0.502627i \(0.167633\pi\)
−0.912306 + 0.409508i \(0.865700\pi\)
\(224\) 0.676595 + 0.143815i 0.0452069 + 0.00960902i
\(225\) 1.78671 4.01301i 0.119114 0.267534i
\(226\) −1.06075 + 6.69732i −0.0705601 + 0.445499i
\(227\) −1.21612 23.2050i −0.0807168 1.54017i −0.676150 0.736764i \(-0.736353\pi\)
0.595434 0.803404i \(-0.296980\pi\)
\(228\) 1.75904 + 1.14233i 0.116495 + 0.0756528i
\(229\) 21.1971 3.35729i 1.40074 0.221856i 0.590068 0.807353i \(-0.299101\pi\)
0.810674 + 0.585497i \(0.199101\pi\)
\(230\) −0.553781 + 0.319725i −0.0365152 + 0.0210821i
\(231\) 0.555504 + 0.146494i 0.0365495 + 0.00963860i
\(232\) −0.224720 0.838667i −0.0147536 0.0550612i
\(233\) −23.4215 17.0167i −1.53439 1.11480i −0.953732 0.300657i \(-0.902794\pi\)
−0.580661 0.814145i \(-0.697206\pi\)
\(234\) −3.63940 + 1.72490i −0.237915 + 0.112760i
\(235\) 0.288010 + 0.886404i 0.0187877 + 0.0578226i
\(236\) 5.23635 6.46635i 0.340857 0.420923i
\(237\) −6.15687 + 0.647114i −0.399932 + 0.0420345i
\(238\) 0.649766 0.721638i 0.0421181 0.0467769i
\(239\) −5.89848 11.5764i −0.381541 0.748816i 0.617754 0.786372i \(-0.288043\pi\)
−0.999295 + 0.0375553i \(0.988043\pi\)
\(240\) −1.16850 + 0.946235i −0.0754265 + 0.0610792i
\(241\) 7.46478 27.8589i 0.480849 1.79455i −0.117218 0.993106i \(-0.537398\pi\)
0.598067 0.801446i \(-0.295936\pi\)
\(242\) −7.80790 9.48748i −0.501911 0.609879i
\(243\) −0.500000 0.866025i −0.0320750 0.0555556i
\(244\) −9.25237 + 4.11942i −0.592323 + 0.263719i
\(245\) 5.42383 + 0.284251i 0.346516 + 0.0181601i
\(246\) −1.46009 + 0.474411i −0.0930917 + 0.0302473i
\(247\) 3.33227 + 9.48434i 0.212028 + 0.603474i
\(248\) 10.0973 + 13.8977i 0.641179 + 0.882508i
\(249\) −11.9166 + 7.73873i −0.755184 + 0.490422i
\(250\) 6.07572 5.47061i 0.384262 0.345991i
\(251\) 1.13709 + 0.119513i 0.0717723 + 0.00754357i 0.140347 0.990102i \(-0.455178\pi\)
−0.0685742 + 0.997646i \(0.521845\pi\)
\(252\) −0.0921399 + 0.0921399i −0.00580427 + 0.00580427i
\(253\) 2.43652 0.00963849i 0.153183 0.000605967i
\(254\) 21.8262 + 5.84832i 1.36950 + 0.366956i
\(255\) −0.611782 3.86264i −0.0383113 0.241888i
\(256\) 14.8482 3.15608i 0.928011 0.197255i
\(257\) −2.76037 + 12.9865i −0.172187 + 0.810078i 0.804252 + 0.594288i \(0.202566\pi\)
−0.976440 + 0.215790i \(0.930767\pi\)
\(258\) −8.95930 7.25510i −0.557781 0.451683i
\(259\) 0.0905462 0.0657857i 0.00562627 0.00408772i
\(260\) 2.11296 0.0501141i 0.131040 0.00310795i
\(261\) 0.268597 + 0.0872724i 0.0166257 + 0.00540202i
\(262\) −2.33253 0.895375i −0.144104 0.0553165i
\(263\) 17.5548 + 10.1352i 1.08247 + 0.624966i 0.931562 0.363582i \(-0.118446\pi\)
0.150910 + 0.988547i \(0.451780\pi\)
\(264\) 10.0645 1.63490i 0.619427 0.100621i
\(265\) 7.09323 + 7.09323i 0.435734 + 0.435734i
\(266\) −0.339495 0.419242i −0.0208158 0.0257054i
\(267\) 0.850810 1.31013i 0.0520687 0.0801788i
\(268\) −3.35793 1.71095i −0.205118 0.104513i
\(269\) −27.0952 12.0636i −1.65202 0.735528i −0.652275 0.757983i \(-0.726185\pi\)
−0.999748 + 0.0224547i \(0.992852\pi\)
\(270\) −0.0909839 0.865654i −0.00553710 0.0526820i
\(271\) 13.9669 + 21.5071i 0.848426 + 1.30646i 0.950196 + 0.311654i \(0.100883\pi\)
−0.101769 + 0.994808i \(0.532450\pi\)
\(272\) 2.99251 9.21000i 0.181448 0.558438i
\(273\) −0.619399 + 0.0799914i −0.0374877 + 0.00484130i
\(274\) 15.2523i 0.921428i
\(275\) −14.2388 + 3.08547i −0.858630 + 0.186061i
\(276\) −0.276325 + 0.478608i −0.0166328 + 0.0288088i
\(277\) 0.318247 3.02792i 0.0191216 0.181930i −0.980792 0.195055i \(-0.937511\pi\)
0.999914 + 0.0131252i \(0.00417801\pi\)
\(278\) −2.64967 + 1.35008i −0.158917 + 0.0809722i
\(279\) −5.58007 + 0.292439i −0.334070 + 0.0175079i
\(280\) −0.387403 + 0.148710i −0.0231517 + 0.00888712i
\(281\) 19.5149 + 3.09085i 1.16416 + 0.184385i 0.708461 0.705750i \(-0.249390\pi\)
0.455698 + 0.890135i \(0.349390\pi\)
\(282\) −0.992866 0.893981i −0.0591243 0.0532358i
\(283\) 10.9275 + 12.1363i 0.649574 + 0.721425i 0.974518 0.224308i \(-0.0720122\pi\)
−0.324944 + 0.945733i \(0.605346\pi\)
\(284\) 1.12100 2.92029i 0.0665189 0.173288i
\(285\) −2.17260 −0.128694
\(286\) 11.7484 + 6.35621i 0.694696 + 0.375851i
\(287\) −0.238068 −0.0140527
\(288\) −1.43108 + 3.72808i −0.0843270 + 0.219679i
\(289\) 5.47871 + 6.08472i 0.322277 + 0.357925i
\(290\) 0.182683 + 0.164488i 0.0107275 + 0.00965909i
\(291\) 7.64817 + 1.21135i 0.448344 + 0.0710107i
\(292\) 5.62929 2.16088i 0.329429 0.126456i
\(293\) −6.61081 + 0.346458i −0.386208 + 0.0202403i −0.244452 0.969661i \(-0.578608\pi\)
−0.141756 + 0.989902i \(0.545275\pi\)
\(294\) −6.93704 + 3.53460i −0.404576 + 0.206142i
\(295\) −0.900923 + 8.57171i −0.0524538 + 0.499064i
\(296\) 0.993216 1.72030i 0.0577295 0.0999904i
\(297\) −1.33700 + 3.03520i −0.0775804 + 0.176120i
\(298\) 1.02899i 0.0596077i
\(299\) −2.44966 + 1.00761i −0.141668 + 0.0582717i
\(300\) 1.02116 3.14282i 0.0589569 0.181451i
\(301\) −0.973665 1.49931i −0.0561211 0.0864190i
\(302\) 0.784404 + 7.46311i 0.0451374 + 0.429454i
\(303\) 13.9550 + 6.21315i 0.801691 + 0.356936i
\(304\) −4.79347 2.44239i −0.274924 0.140081i
\(305\) 5.71385 8.79855i 0.327174 0.503804i
\(306\) 3.52799 + 4.35671i 0.201682 + 0.249056i
\(307\) 0.537462 + 0.537462i 0.0306746 + 0.0306746i 0.722278 0.691603i \(-0.243095\pi\)
−0.691603 + 0.722278i \(0.743095\pi\)
\(308\) 0.427118 + 0.0659179i 0.0243373 + 0.00375602i
\(309\) −8.54964 4.93614i −0.486372 0.280807i
\(310\) −4.54064 1.74299i −0.257891 0.0989950i
\(311\) 4.83952 + 1.57245i 0.274424 + 0.0891657i 0.442996 0.896524i \(-0.353916\pi\)
−0.168572 + 0.985689i \(0.553916\pi\)
\(312\) −9.46550 + 5.76840i −0.535878 + 0.326571i
\(313\) −24.6066 + 17.8778i −1.39085 + 1.01051i −0.395078 + 0.918647i \(0.629283\pi\)
−0.995772 + 0.0918640i \(0.970717\pi\)
\(314\) −0.189818 0.153711i −0.0107120 0.00867443i
\(315\) 0.0280633 0.132027i 0.00158119 0.00743889i
\(316\) −4.55536 + 0.968272i −0.256259 + 0.0544695i
\(317\) −2.42126 15.2872i −0.135992 0.858617i −0.957503 0.288425i \(-0.906869\pi\)
0.821511 0.570193i \(-0.193131\pi\)
\(318\) −13.8898 3.72175i −0.778899 0.208705i
\(319\) −0.292971 0.889683i −0.0164033 0.0498127i
\(320\) −4.58420 + 4.58420i −0.256264 + 0.256264i
\(321\) −7.68946 0.808195i −0.429184 0.0451091i
\(322\) 0.105634 0.0951128i 0.00588673 0.00530043i
\(323\) 11.7354 7.62105i 0.652975 0.424047i
\(324\) −0.442172 0.608597i −0.0245651 0.0338110i
\(325\) 13.0750 8.93876i 0.725268 0.495833i
\(326\) 10.9380 3.55397i 0.605799 0.196836i
\(327\) 1.79184 + 0.0939063i 0.0990890 + 0.00519303i
\(328\) −3.86005 + 1.71861i −0.213136 + 0.0948941i
\(329\) −0.103590 0.179423i −0.00571109 0.00989189i
\(330\) −2.13770 + 1.94016i −0.117676 + 0.106802i
\(331\) −6.14410 + 22.9301i −0.337710 + 1.26035i 0.563191 + 0.826327i \(0.309574\pi\)
−0.900901 + 0.434025i \(0.857093\pi\)
\(332\) −8.30684 + 6.72675i −0.455897 + 0.369178i
\(333\) 0.293338 + 0.575709i 0.0160749 + 0.0315487i
\(334\) 5.50822 6.11750i 0.301396 0.334734i
\(335\) 3.88241 0.408058i 0.212119 0.0222946i
\(336\) 0.210339 0.259747i 0.0114749 0.0141704i
\(337\) 2.96004 + 9.11007i 0.161244 + 0.496257i 0.998740 0.0501861i \(-0.0159815\pi\)
−0.837496 + 0.546443i \(0.815981\pi\)
\(338\) −14.4340 1.58912i −0.785108 0.0864366i
\(339\) −4.91109 3.56812i −0.266734 0.193793i
\(340\) −0.761435 2.84171i −0.0412946 0.154114i
\(341\) 11.7197 + 14.3561i 0.634657 + 0.777428i
\(342\) 2.69713 1.55719i 0.145844 0.0842032i
\(343\) −2.39005 + 0.378546i −0.129050 + 0.0204396i
\(344\) −26.6105 17.2811i −1.43474 0.931733i
\(345\) −0.0299603 0.571677i −0.00161301 0.0307781i
\(346\) 2.97327 18.7725i 0.159844 1.00922i
\(347\) −5.70493 + 12.8135i −0.306257 + 0.687864i −0.999459 0.0328791i \(-0.989532\pi\)
0.693203 + 0.720743i \(0.256199\pi\)
\(348\) 0.207812 + 0.0441719i 0.0111399 + 0.00236786i
\(349\) −1.03184 + 19.6887i −0.0552333 + 1.05391i 0.820662 + 0.571413i \(0.193605\pi\)
−0.875896 + 0.482500i \(0.839729\pi\)
\(350\) −0.499586 + 0.687621i −0.0267040 + 0.0367549i
\(351\) 0.103273 3.60407i 0.00551233 0.192371i
\(352\) 12.7794 3.47847i 0.681144 0.185403i
\(353\) 1.37860 0.369394i 0.0733754 0.0196609i −0.221945 0.975059i \(-0.571240\pi\)
0.295320 + 0.955398i \(0.404574\pi\)
\(354\) −5.02526 11.2869i −0.267089 0.599892i
\(355\) 0.673675 + 3.16939i 0.0357550 + 0.168214i
\(356\) 0.533510 1.04707i 0.0282760 0.0554947i
\(357\) 0.311541 + 0.811591i 0.0164885 + 0.0429539i
\(358\) −9.89485 25.7770i −0.522959 1.36236i
\(359\) 4.76429 9.35045i 0.251450 0.493498i −0.730434 0.682984i \(-0.760682\pi\)
0.981883 + 0.189486i \(0.0606821\pi\)
\(360\) −0.498080 2.34328i −0.0262511 0.123502i
\(361\) 4.56619 + 10.2558i 0.240326 + 0.539780i
\(362\) −5.64955 + 1.51379i −0.296934 + 0.0795632i
\(363\) 10.7412 2.37208i 0.563766 0.124502i
\(364\) −0.457111 + 0.108551i −0.0239591 + 0.00568960i
\(365\) −3.67128 + 5.05308i −0.192163 + 0.264490i
\(366\) −0.787067 + 15.0181i −0.0411406 + 0.785010i
\(367\) −3.93922 0.837307i −0.205626 0.0437071i 0.103947 0.994583i \(-0.466853\pi\)
−0.309573 + 0.950876i \(0.600186\pi\)
\(368\) 0.576565 1.29499i 0.0300555 0.0675059i
\(369\) 0.215003 1.35747i 0.0111926 0.0706673i
\(370\) 0.0294342 + 0.561638i 0.00153021 + 0.0291982i
\(371\) −1.87013 1.21448i −0.0970923 0.0630525i
\(372\) −4.15171 + 0.657567i −0.215256 + 0.0340933i
\(373\) −3.38139 + 1.95224i −0.175082 + 0.101083i −0.584980 0.811048i \(-0.698898\pi\)
0.409898 + 0.912131i \(0.365564\pi\)
\(374\) 4.74117 17.9785i 0.245160 0.929644i
\(375\) 1.89435 + 7.06981i 0.0978238 + 0.365083i
\(376\) −2.97485 2.16136i −0.153416 0.111463i
\(377\) 0.659406 + 0.775933i 0.0339611 + 0.0399626i
\(378\) 0.0597907 + 0.184017i 0.00307530 + 0.00946480i
\(379\) −12.8677 + 15.8903i −0.660971 + 0.816231i −0.991846 0.127444i \(-0.959323\pi\)
0.330875 + 0.943675i \(0.392656\pi\)
\(380\) −1.62542 + 0.170839i −0.0833825 + 0.00876386i
\(381\) −13.5358 + 15.0331i −0.693462 + 0.770167i
\(382\) −2.85882 5.61074i −0.146270 0.287071i
\(383\) −21.3657 + 17.3016i −1.09173 + 0.884069i −0.993807 0.111124i \(-0.964555\pi\)
−0.0979283 + 0.995193i \(0.531222\pi\)
\(384\) 0.338190 1.26214i 0.0172582 0.0644084i
\(385\) −0.408241 + 0.183699i −0.0208059 + 0.00936218i
\(386\) −0.821020 1.42205i −0.0417888 0.0723804i
\(387\) 9.42846 4.19782i 0.479276 0.213387i
\(388\) 5.81720 + 0.304867i 0.295324 + 0.0154773i
\(389\) 2.65224 0.861764i 0.134474 0.0436932i −0.241007 0.970523i \(-0.577478\pi\)
0.375481 + 0.926830i \(0.377478\pi\)
\(390\) 1.35808 2.82929i 0.0687690 0.143267i
\(391\) 2.16716 + 2.98284i 0.109598 + 0.150849i
\(392\) −17.9711 + 11.6706i −0.907679 + 0.589454i
\(393\) 1.66222 1.49667i 0.0838479 0.0754970i
\(394\) 5.20906 + 0.547494i 0.262428 + 0.0275823i
\(395\) 3.41114 3.41114i 0.171633 0.171633i
\(396\) −0.761601 + 2.37591i −0.0382719 + 0.119394i
\(397\) 25.3146 + 6.78303i 1.27050 + 0.340431i 0.830224 0.557430i \(-0.188212\pi\)
0.440280 + 0.897860i \(0.354879\pi\)
\(398\) −1.94841 12.3018i −0.0976650 0.616632i
\(399\) 0.472395 0.100411i 0.0236494 0.00502683i
\(400\) −1.76229 + 8.29092i −0.0881145 + 0.414546i
\(401\) 16.4913 + 13.3544i 0.823538 + 0.666888i 0.945491 0.325648i \(-0.105582\pi\)
−0.121953 + 0.992536i \(0.538916\pi\)
\(402\) −4.52727 + 3.28926i −0.225800 + 0.164053i
\(403\) −17.6816 9.65689i −0.880784 0.481044i
\(404\) 10.9289 + 3.55102i 0.543734 + 0.176670i
\(405\) 0.727480 + 0.279253i 0.0361488 + 0.0138762i
\(406\) −0.0473234 0.0273222i −0.00234862 0.00135598i
\(407\) 0.965333 1.91325i 0.0478498 0.0948360i
\(408\) 10.9102 + 10.9102i 0.540134 + 0.540134i
\(409\) 14.2214 + 17.5620i 0.703204 + 0.868385i 0.996143 0.0877466i \(-0.0279666\pi\)
−0.292939 + 0.956131i \(0.594633\pi\)
\(410\) 0.651554 1.00330i 0.0321779 0.0495497i
\(411\) −12.1663 6.19902i −0.600117 0.305775i
\(412\) −6.78453 3.02067i −0.334250 0.148818i
\(413\) −0.200267 1.90541i −0.00985449 0.0937592i
\(414\) 0.446938 + 0.688223i 0.0219658 + 0.0338243i
\(415\) 3.42147 10.5302i 0.167953 0.516907i
\(416\) −11.4444 + 8.73681i −0.561107 + 0.428357i
\(417\) 2.66226i 0.130372i
\(418\) −9.45277 4.16392i −0.462350 0.203664i
\(419\) −16.2870 + 28.2099i −0.795673 + 1.37815i 0.126738 + 0.991936i \(0.459549\pi\)
−0.922411 + 0.386209i \(0.873784\pi\)
\(420\) 0.0106137 0.100982i 0.000517895 0.00492744i
\(421\) 28.1090 14.3222i 1.36995 0.698024i 0.394633 0.918839i \(-0.370872\pi\)
0.975316 + 0.220815i \(0.0708718\pi\)
\(422\) 10.4490 0.547611i 0.508651 0.0266573i
\(423\) 1.11663 0.428633i 0.0542923 0.0208409i
\(424\) −39.0896 6.19119i −1.89836 0.300671i
\(425\) −16.3836 14.7519i −0.794721 0.715570i
\(426\) −3.10795 3.45173i −0.150581 0.167237i
\(427\) −0.835738 + 2.17717i −0.0404442 + 0.105361i
\(428\) −5.81640 −0.281146
\(429\) −9.84502 + 6.78790i −0.475322 + 0.327723i
\(430\) 8.98339 0.433218
\(431\) 6.27301 16.3418i 0.302160 0.787155i −0.695483 0.718543i \(-0.744810\pi\)
0.997643 0.0686123i \(-0.0218572\pi\)
\(432\) 1.29113 + 1.43394i 0.0621194 + 0.0689905i
\(433\) −24.8843 22.4059i −1.19586 1.07676i −0.995276 0.0970846i \(-0.969048\pi\)
−0.200587 0.979676i \(-0.564285\pi\)
\(434\) 1.06784 + 0.169129i 0.0512580 + 0.00811846i
\(435\) −0.205454 + 0.0788665i −0.00985078 + 0.00378136i
\(436\) 1.34794 0.0706427i 0.0645548 0.00338317i
\(437\) 1.82503 0.929898i 0.0873029 0.0444830i
\(438\) 0.935890 8.90440i 0.0447186 0.425469i
\(439\) −6.26118 + 10.8447i −0.298830 + 0.517588i −0.975868 0.218359i \(-0.929930\pi\)
0.677039 + 0.735947i \(0.263263\pi\)
\(440\) −5.29312 + 5.92558i −0.252340 + 0.282491i
\(441\) 6.97000i 0.331905i
\(442\) 2.58886 + 20.0464i 0.123140 + 0.953509i
\(443\) 7.83559 24.1155i 0.372280 1.14576i −0.573016 0.819544i \(-0.694227\pi\)
0.945295 0.326215i \(-0.105773\pi\)
\(444\) 0.264730 + 0.407649i 0.0125635 + 0.0193461i
\(445\) 0.127241 + 1.21062i 0.00603180 + 0.0573888i
\(446\) 13.9187 + 6.19700i 0.659069 + 0.293436i
\(447\) −0.820788 0.418212i −0.0388219 0.0197808i
\(448\) 0.784889 1.20862i 0.0370825 0.0571021i
\(449\) 0.356539 + 0.440289i 0.0168261 + 0.0207785i 0.785490 0.618875i \(-0.212411\pi\)
−0.768663 + 0.639653i \(0.779078\pi\)
\(450\) −3.46966 3.46966i −0.163561 0.163561i
\(451\) −4.05330 + 2.08550i −0.190863 + 0.0982023i
\(452\) −3.95479 2.28330i −0.186018 0.107397i
\(453\) −6.27186 2.40754i −0.294678 0.113116i
\(454\) −24.6856 8.02084i −1.15855 0.376437i
\(455\) 0.335869 0.352188i 0.0157458 0.0165108i
\(456\) 6.93458 5.03827i 0.324741 0.235938i
\(457\) −25.4569 20.6146i −1.19082 0.964308i −0.190971 0.981596i \(-0.561164\pi\)
−0.999851 + 0.0172876i \(0.994497\pi\)
\(458\) 4.98420 23.4488i 0.232897 1.09569i
\(459\) −4.90907 + 1.04346i −0.229136 + 0.0487043i
\(460\) −0.0673676 0.425342i −0.00314103 0.0198317i
\(461\) −13.9301 3.73255i −0.648788 0.173842i −0.0806069 0.996746i \(-0.525686\pi\)
−0.568181 + 0.822904i \(0.692353\pi\)
\(462\) 0.375138 0.520653i 0.0174530 0.0242229i
\(463\) −9.27874 + 9.27874i −0.431219 + 0.431219i −0.889043 0.457824i \(-0.848629\pi\)
0.457824 + 0.889043i \(0.348629\pi\)
\(464\) −0.541959 0.0569622i −0.0251598 0.00264441i
\(465\) 3.23577 2.91350i 0.150055 0.135110i
\(466\) −27.1212 + 17.6127i −1.25637 + 0.815894i
\(467\) 5.64029 + 7.76320i 0.261002 + 0.359238i 0.919326 0.393496i \(-0.128735\pi\)
−0.658325 + 0.752734i \(0.728735\pi\)
\(468\) −0.206137 2.70449i −0.00952867 0.125015i
\(469\) −0.825306 + 0.268158i −0.0381091 + 0.0123824i
\(470\) 1.03966 + 0.0544862i 0.0479559 + 0.00251326i
\(471\) 0.199758 0.0889378i 0.00920434 0.00409804i
\(472\) −17.0022 29.4487i −0.782590 1.35549i
\(473\) −29.7115 16.9976i −1.36614 0.781551i
\(474\) −1.78979 + 6.67960i −0.0822079 + 0.306804i
\(475\) −9.51819 + 7.70768i −0.436724 + 0.353652i
\(476\) 0.296896 + 0.582691i 0.0136082 + 0.0267076i
\(477\) 8.61392 9.56673i 0.394404 0.438030i
\(478\) −14.4334 + 1.51701i −0.660168 + 0.0693865i
\(479\) 9.46284 11.6856i 0.432368 0.533930i −0.513669 0.857988i \(-0.671714\pi\)
0.946037 + 0.324058i \(0.105047\pi\)
\(480\) −0.961580 2.95944i −0.0438899 0.135079i
\(481\) −0.188512 + 2.32203i −0.00859542 + 0.105875i
\(482\) −26.0639 18.9365i −1.18718 0.862535i
\(483\) 0.0329355 + 0.122917i 0.00149862 + 0.00559291i
\(484\) 7.84946 2.61928i 0.356794 0.119058i
\(485\) −5.22561 + 3.01701i −0.237283 + 0.136995i
\(486\) −1.10327 + 0.174740i −0.0500452 + 0.00792638i
\(487\) 17.5357 + 11.3878i 0.794618 + 0.516031i 0.876954 0.480574i \(-0.159571\pi\)
−0.0823363 + 0.996605i \(0.526238\pi\)
\(488\) 2.16622 + 41.3339i 0.0980601 + 1.87110i
\(489\) −1.61066 + 10.1693i −0.0728364 + 0.459871i
\(490\) 2.46760 5.54233i 0.111475 0.250377i
\(491\) 17.7394 + 3.77063i 0.800569 + 0.170166i 0.589990 0.807410i \(-0.299132\pi\)
0.210579 + 0.977577i \(0.432465\pi\)
\(492\) 0.0541108 1.03250i 0.00243950 0.0465485i
\(493\) 0.833121 1.14669i 0.0375219 0.0516445i
\(494\) 11.2245 + 0.321633i 0.505012 + 0.0144709i
\(495\) −0.678771 2.49371i −0.0305085 0.112084i
\(496\) 10.4145 2.79055i 0.467623 0.125299i
\(497\) −0.292959 0.657996i −0.0131410 0.0295151i
\(498\) 3.29990 + 15.5248i 0.147872 + 0.695683i
\(499\) 11.8022 23.1632i 0.528340 1.03693i −0.460460 0.887680i \(-0.652316\pi\)
0.988800 0.149245i \(-0.0476843\pi\)
\(500\) 1.97317 + 5.14029i 0.0882430 + 0.229881i
\(501\) 2.64100 + 6.88004i 0.117991 + 0.307378i
\(502\) 0.579812 1.13794i 0.0258783 0.0507889i
\(503\) 7.98781 + 37.5797i 0.356159 + 1.67560i 0.682924 + 0.730489i \(0.260708\pi\)
−0.326765 + 0.945106i \(0.605959\pi\)
\(504\) 0.216598 + 0.486488i 0.00964805 + 0.0216699i
\(505\) −11.4977 + 3.08080i −0.511641 + 0.137094i
\(506\) 0.965298 2.54473i 0.0429127 0.113127i
\(507\) 7.13401 10.8677i 0.316833 0.482649i
\(508\) −8.94468 + 12.3113i −0.396856 + 0.546226i
\(509\) 1.01747 19.4145i 0.0450986 0.860533i −0.878634 0.477496i \(-0.841545\pi\)
0.923733 0.383038i \(-0.125122\pi\)
\(510\) −4.27297 0.908247i −0.189210 0.0402178i
\(511\) 0.564720 1.26838i 0.0249817 0.0561099i
\(512\) 3.06135 19.3286i 0.135294 0.854213i
\(513\) 0.145919 + 2.78430i 0.00644247 + 0.122930i
\(514\) 12.4377 + 8.07715i 0.548605 + 0.356268i
\(515\) 7.59812 1.20342i 0.334813 0.0530292i
\(516\) 6.72378 3.88198i 0.295998 0.170894i
\(517\) −3.33546 2.14736i −0.146693 0.0944407i
\(518\) −0.0323571 0.120758i −0.00142169 0.00530582i
\(519\) 13.7657 + 10.0014i 0.604249 + 0.439012i
\(520\) 2.90336 8.13500i 0.127321 0.356744i
\(521\) −0.206229 0.634708i −0.00903506 0.0278070i 0.946437 0.322887i \(-0.104654\pi\)
−0.955472 + 0.295080i \(0.904654\pi\)
\(522\) 0.198530 0.245165i 0.00868944 0.0107306i
\(523\) 19.0682 2.00415i 0.833794 0.0876353i 0.321996 0.946741i \(-0.395646\pi\)
0.511798 + 0.859106i \(0.328980\pi\)
\(524\) 1.12590 1.25043i 0.0491850 0.0546255i
\(525\) −0.345444 0.677972i −0.0150764 0.0295891i
\(526\) 17.5965 14.2494i 0.767246 0.621304i
\(527\) −7.25816 + 27.0878i −0.316171 + 1.17996i
\(528\) 1.30578 6.26499i 0.0568269 0.272649i
\(529\) −11.2301 19.4512i −0.488267 0.845704i
\(530\) 10.2365 4.55757i 0.444644 0.197968i
\(531\) 11.0456 + 0.578874i 0.479337 + 0.0251210i
\(532\) 0.345525 0.112268i 0.0149804 0.00486744i
\(533\) 3.22759 3.76020i 0.139803 0.162873i
\(534\) −1.02566 1.41170i −0.0443846 0.0610902i
\(535\) 5.05292 3.28140i 0.218457 0.141867i
\(536\) −11.4457 + 10.3058i −0.494380 + 0.445142i
\(537\) 24.5829 + 2.58377i 1.06083 + 0.111498i
\(538\) −23.4265 + 23.4265i −1.00999 + 1.00999i
\(539\) −18.6480 + 13.6616i −0.803228 + 0.588448i
\(540\) 0.566220 + 0.151718i 0.0243662 + 0.00652891i
\(541\) −5.13136 32.3981i −0.220614 1.39290i −0.810652 0.585528i \(-0.800887\pi\)
0.590038 0.807375i \(-0.299113\pi\)
\(542\) 28.0192 5.95566i 1.20353 0.255817i
\(543\) 1.08865 5.12170i 0.0467185 0.219793i
\(544\) 15.5751 + 12.6125i 0.667778 + 0.540756i
\(545\) −1.13115 + 0.821831i −0.0484533 + 0.0352034i
\(546\) −0.164530 + 0.677947i −0.00704125 + 0.0290134i
\(547\) 28.5092 + 9.26322i 1.21897 + 0.396067i 0.846706 0.532061i \(-0.178582\pi\)
0.372262 + 0.928128i \(0.378582\pi\)
\(548\) −9.58959 3.68110i −0.409647 0.157249i
\(549\) −11.6595 6.73164i −0.497617 0.287299i
\(550\) −2.48223 + 16.0837i −0.105843 + 0.685812i
\(551\) −0.556789 0.556789i −0.0237200 0.0237200i
\(552\) 1.42135 + 1.75522i 0.0604966 + 0.0747071i
\(553\) −0.584043 + 0.899348i −0.0248360 + 0.0382442i
\(554\) −3.03020 1.54397i −0.128741 0.0655968i
\(555\) −0.459962 0.204788i −0.0195243 0.00869277i
\(556\) −0.209343 1.99176i −0.00887810 0.0844695i
\(557\) 5.37653 + 8.27914i 0.227811 + 0.350798i 0.934030 0.357196i \(-0.116267\pi\)
−0.706219 + 0.707994i \(0.749600\pi\)
\(558\) −1.92876 + 5.93612i −0.0816510 + 0.251296i
\(559\) 36.8815 + 4.94813i 1.55992 + 0.209284i
\(560\) 0.260446i 0.0110058i
\(561\) 12.4138 + 11.0889i 0.524112 + 0.468172i
\(562\) 11.0351 19.1133i 0.465487 0.806248i
\(563\) −0.868422 + 8.26248i −0.0365996 + 0.348222i 0.960863 + 0.277025i \(0.0893485\pi\)
−0.997462 + 0.0711969i \(0.977318\pi\)
\(564\) 0.801696 0.408485i 0.0337575 0.0172003i
\(565\) 4.72383 0.247565i 0.198733 0.0104151i
\(566\) 17.0303 6.53734i 0.715839 0.274785i
\(567\) −0.171084 0.0270971i −0.00718487 0.00113797i
\(568\) −9.50008 8.55391i −0.398615 0.358914i
\(569\) 7.36337 + 8.17785i 0.308688 + 0.342833i 0.877449 0.479670i \(-0.159244\pi\)
−0.568761 + 0.822503i \(0.692577\pi\)
\(570\) −0.869701 + 2.26565i −0.0364278 + 0.0948976i
\(571\) 11.0740 0.463434 0.231717 0.972783i \(-0.425566\pi\)
0.231717 + 0.972783i \(0.425566\pi\)
\(572\) −6.83176 + 5.85249i −0.285650 + 0.244705i
\(573\) 5.63740 0.235506
\(574\) −0.0952997 + 0.248264i −0.00397773 + 0.0103624i
\(575\) −2.15938 2.39823i −0.0900523 0.100013i
\(576\) 6.18277 + 5.56699i 0.257615 + 0.231958i
\(577\) −9.21428 1.45940i −0.383596 0.0607556i −0.0383412 0.999265i \(-0.512207\pi\)
−0.345254 + 0.938509i \(0.612207\pi\)
\(578\) 8.53847 3.27761i 0.355153 0.136331i
\(579\) 1.46801 0.0769349i 0.0610082 0.00319731i
\(580\) −0.147508 + 0.0751593i −0.00612495 + 0.00312082i
\(581\) −0.257268 + 2.44774i −0.0106733 + 0.101549i
\(582\) 4.32482 7.49081i 0.179270 0.310504i
\(583\) −42.4794 4.29493i −1.75932 0.177878i
\(584\) 24.6423i 1.01970i
\(585\) 1.70486 + 2.23320i 0.0704872 + 0.0923314i
\(586\) −2.28504 + 7.03262i −0.0943940 + 0.290515i
\(587\) 12.0791 + 18.6001i 0.498556 + 0.767709i 0.994948 0.100389i \(-0.0320088\pi\)
−0.496392 + 0.868098i \(0.665342\pi\)
\(588\) −0.548074 5.21458i −0.0226022 0.215046i
\(589\) 14.2323 + 6.33665i 0.586434 + 0.261097i
\(590\) 8.57817 + 4.37080i 0.353158 + 0.179943i
\(591\) −2.55383 + 3.93256i −0.105051 + 0.161764i
\(592\) −0.784607 0.968909i −0.0322471 0.0398219i
\(593\) 11.7967 + 11.7967i 0.484431 + 0.484431i 0.906543 0.422113i \(-0.138711\pi\)
−0.422113 + 0.906543i \(0.638711\pi\)
\(594\) 2.62999 + 2.60926i 0.107910 + 0.107059i
\(595\) −0.586658 0.338707i −0.0240506 0.0138856i
\(596\) −0.646955 0.248343i −0.0265003 0.0101725i
\(597\) 10.6046 + 3.44564i 0.434017 + 0.141021i
\(598\) 0.0701547 + 2.95793i 0.00286884 + 0.120959i
\(599\) −4.98636 + 3.62280i −0.203737 + 0.148024i −0.684975 0.728566i \(-0.740187\pi\)
0.481238 + 0.876590i \(0.340187\pi\)
\(600\) −10.4953 8.49892i −0.428469 0.346967i
\(601\) 3.32035 15.6210i 0.135440 0.637194i −0.857087 0.515171i \(-0.827728\pi\)
0.992527 0.122023i \(-0.0389382\pi\)
\(602\) −1.95329 + 0.415184i −0.0796100 + 0.0169216i
\(603\) −0.783702 4.94810i −0.0319148 0.201502i
\(604\) −4.88158 1.30802i −0.198629 0.0532224i
\(605\) −5.34141 + 6.70385i −0.217159 + 0.272550i
\(606\) 12.0655 12.0655i 0.490126 0.490126i
\(607\) −27.7321 2.91476i −1.12561 0.118306i −0.476624 0.879107i \(-0.658140\pi\)
−0.648985 + 0.760801i \(0.724806\pi\)
\(608\) 8.27406 7.44999i 0.335557 0.302137i
\(609\) 0.0410276 0.0266436i 0.00166252 0.00107965i
\(610\) −6.88810 9.48065i −0.278891 0.383860i
\(611\) 4.23833 + 0.796347i 0.171464 + 0.0322167i
\(612\) −3.59066 + 1.16667i −0.145144 + 0.0471600i
\(613\) −20.0616 1.05138i −0.810280 0.0424650i −0.357305 0.933988i \(-0.616304\pi\)
−0.452976 + 0.891523i \(0.649638\pi\)
\(614\) 0.775629 0.345332i 0.0313018 0.0139365i
\(615\) 0.535489 + 0.927494i 0.0215930 + 0.0374002i
\(616\) 0.877039 1.53305i 0.0353369 0.0617683i
\(617\) −9.21847 + 34.4038i −0.371122 + 1.38505i 0.487808 + 0.872951i \(0.337797\pi\)
−0.858929 + 0.512094i \(0.828870\pi\)
\(618\) −8.56999 + 6.93984i −0.344736 + 0.279161i
\(619\) 18.6966 + 36.6942i 0.751480 + 1.47486i 0.875828 + 0.482624i \(0.160316\pi\)
−0.124347 + 0.992239i \(0.539684\pi\)
\(620\) 2.19173 2.43417i 0.0880221 0.0977584i
\(621\) −0.730620 + 0.0767913i −0.0293188 + 0.00308153i
\(622\) 3.57708 4.41732i 0.143428 0.177118i
\(623\) −0.0836173 0.257348i −0.00335006 0.0103104i
\(624\) 1.25096 + 6.84373i 0.0500783 + 0.273969i
\(625\) 13.1551 + 9.55772i 0.526203 + 0.382309i
\(626\) 8.79330 + 32.8170i 0.351451 + 1.31163i
\(627\) 7.16330 5.84780i 0.286075 0.233538i
\(628\) 0.142454 0.0822461i 0.00568455 0.00328198i
\(629\) 3.20286 0.507283i 0.127706 0.0202267i
\(630\) −0.126448 0.0821162i −0.00503780 0.00327159i
\(631\) −1.05345 20.1010i −0.0419371 0.800208i −0.935943 0.352152i \(-0.885450\pi\)
0.894006 0.448056i \(-0.147883\pi\)
\(632\) −2.97735 + 18.7982i −0.118433 + 0.747754i
\(633\) −3.81000 + 8.55739i −0.151434 + 0.340126i
\(634\) −16.9112 3.59459i −0.671630 0.142759i
\(635\) 0.824980 15.7415i 0.0327383 0.624684i
\(636\) 5.69221 7.83466i 0.225711 0.310664i
\(637\) 13.1836 21.3950i 0.522352 0.847700i
\(638\) −1.04506 0.0506248i −0.0413744 0.00200426i
\(639\) 4.01649 1.07621i 0.158890 0.0425744i
\(640\) 0.414140 + 0.930173i 0.0163703 + 0.0367683i
\(641\) −3.57189 16.8044i −0.141081 0.663734i −0.990669 0.136287i \(-0.956483\pi\)
0.849588 0.527446i \(-0.176850\pi\)
\(642\) −3.92093 + 7.69526i −0.154747 + 0.303708i
\(643\) −7.02956 18.3126i −0.277219 0.722180i −0.999531 0.0306131i \(-0.990254\pi\)
0.722312 0.691567i \(-0.243079\pi\)
\(644\) 0.0343059 + 0.0893700i 0.00135184 + 0.00352167i
\(645\) −3.65112 + 7.16573i −0.143763 + 0.282150i
\(646\) −3.24972 15.2887i −0.127859 0.601527i
\(647\) 9.12124 + 20.4866i 0.358593 + 0.805413i 0.999292 + 0.0376208i \(0.0119779\pi\)
−0.640699 + 0.767792i \(0.721355\pi\)
\(648\) −2.96958 + 0.795697i −0.116656 + 0.0312579i
\(649\) −20.1013 30.6868i −0.789044 1.20456i
\(650\) −4.08763 17.2131i −0.160330 0.675155i
\(651\) −0.568911 + 0.783039i −0.0222974 + 0.0306897i
\(652\) −0.405362 + 7.73476i −0.0158752 + 0.302917i
\(653\) 20.3359 + 4.32252i 0.795804 + 0.169153i 0.587834 0.808982i \(-0.299981\pi\)
0.207970 + 0.978135i \(0.433314\pi\)
\(654\) 0.815209 1.83099i 0.0318772 0.0715973i
\(655\) −0.272657 + 1.72149i −0.0106536 + 0.0672641i
\(656\) 0.138794 + 2.64834i 0.00541898 + 0.103400i
\(657\) 6.72235 + 4.36554i 0.262264 + 0.170316i
\(658\) −0.228574 + 0.0362026i −0.00891075 + 0.00141132i
\(659\) 9.76966 5.64052i 0.380572 0.219723i −0.297495 0.954723i \(-0.596151\pi\)
0.678067 + 0.735000i \(0.262818\pi\)
\(660\) −0.703908 1.81228i −0.0273996 0.0705430i
\(661\) −11.8740 44.3144i −0.461845 1.72363i −0.667143 0.744930i \(-0.732483\pi\)
0.205298 0.978700i \(-0.434184\pi\)
\(662\) 21.4526 + 15.5862i 0.833780 + 0.605776i
\(663\) −17.0425 6.08241i −0.661875 0.236221i
\(664\) 13.4988 + 41.5450i 0.523855 + 1.61226i
\(665\) −0.236833 + 0.292464i −0.00918399 + 0.0113413i
\(666\) 0.717790 0.0754428i 0.0278138 0.00292335i
\(667\) 0.138830 0.154186i 0.00537551 0.00597011i
\(668\) 2.51686 + 4.93961i 0.0973801 + 0.191119i
\(669\) −10.6001 + 8.58379i −0.409823 + 0.331868i
\(670\) 1.12861 4.21203i 0.0436021 0.162725i
\(671\) 4.84310 + 44.3892i 0.186966 + 1.71363i
\(672\) 0.345855 + 0.599039i 0.0133416 + 0.0231084i
\(673\) 7.50135 3.33982i 0.289156 0.128740i −0.257033 0.966403i \(-0.582745\pi\)
0.546189 + 0.837662i \(0.316078\pi\)
\(674\) 10.6851 + 0.559985i 0.411576 + 0.0215698i
\(675\) 4.17779 1.35745i 0.160803 0.0522482i
\(676\) 4.48273 8.69157i 0.172413 0.334291i
\(677\) 20.4251 + 28.1128i 0.785002 + 1.08046i 0.994713 + 0.102699i \(0.0327477\pi\)
−0.209711 + 0.977763i \(0.567252\pi\)
\(678\) −5.68686 + 3.69309i −0.218403 + 0.141832i
\(679\) 0.996784 0.897509i 0.0382531 0.0344432i
\(680\) −11.9572 1.25675i −0.458538 0.0481943i
\(681\) 16.4309 16.4309i 0.629634 0.629634i
\(682\) 19.6624 6.47481i 0.752913 0.247933i
\(683\) −36.7005 9.83388i −1.40431 0.376283i −0.524417 0.851461i \(-0.675717\pi\)
−0.879889 + 0.475179i \(0.842383\pi\)
\(684\) 0.328107 + 2.07159i 0.0125455 + 0.0792091i
\(685\) 10.4076 2.21220i 0.397653 0.0845237i
\(686\) −0.561987 + 2.64394i −0.0214568 + 0.100946i
\(687\) 16.6786 + 13.5060i 0.636327 + 0.515288i
\(688\) −16.1111 + 11.7054i −0.614231 + 0.446265i
\(689\) 44.5364 13.0728i 1.69670 0.498036i
\(690\) −0.608154 0.197601i −0.0231520 0.00752255i
\(691\) 8.10632 + 3.11172i 0.308379 + 0.118376i 0.507636 0.861572i \(-0.330520\pi\)
−0.199257 + 0.979947i \(0.563853\pi\)
\(692\) 11.0852 + 6.40006i 0.421397 + 0.243294i
\(693\) 0.262838 + 0.510843i 0.00998440 + 0.0194053i
\(694\) 11.0785 + 11.0785i 0.420536 + 0.420536i
\(695\) 1.30554 + 1.61221i 0.0495221 + 0.0611547i
\(696\) 0.472884 0.728177i 0.0179246 0.0276015i
\(697\) −6.14593 3.13151i −0.232794 0.118614i
\(698\) 20.1189 + 8.95751i 0.761512 + 0.339047i
\(699\) −3.02616 28.7920i −0.114460 1.08901i
\(700\) −0.311754 0.480059i −0.0117832 0.0181445i
\(701\) 1.89781 5.84086i 0.0716793 0.220606i −0.908799 0.417235i \(-0.862999\pi\)
0.980478 + 0.196629i \(0.0629993\pi\)
\(702\) −3.71708 1.55042i −0.140292 0.0585169i
\(703\) 1.80150i 0.0679447i
\(704\) 2.77572 27.4535i 0.104614 1.03469i
\(705\) −0.466010 + 0.807154i −0.0175510 + 0.0303992i
\(706\) 0.166644 1.58551i 0.00627172 0.0596714i
\(707\) 2.35760 1.20126i 0.0886665 0.0451779i
\(708\) 8.30923 0.435468i 0.312280 0.0163659i
\(709\) 20.4537 7.85143i 0.768154 0.294867i 0.0574411 0.998349i \(-0.481706\pi\)
0.710713 + 0.703482i \(0.248373\pi\)
\(710\) 3.57480 + 0.566193i 0.134160 + 0.0212489i
\(711\) −4.60065 4.14245i −0.172538 0.155354i
\(712\) −3.21356 3.56902i −0.120433 0.133755i
\(713\) −1.47110 + 3.83234i −0.0550931 + 0.143522i
\(714\) 0.971060 0.0363410
\(715\) 2.63324 8.93851i 0.0984775 0.334281i
\(716\) 18.5948 0.694921
\(717\) 4.65610 12.1296i 0.173885 0.452987i
\(718\) −7.84374 8.71136i −0.292726 0.325105i
\(719\) −7.84375 7.06255i −0.292523 0.263389i 0.509782 0.860304i \(-0.329726\pi\)
−0.802304 + 0.596915i \(0.796393\pi\)
\(720\) −1.48507 0.235212i −0.0553453 0.00876583i
\(721\) −1.59646 + 0.612825i −0.0594554 + 0.0228228i
\(722\) 12.5229 0.656299i 0.466055 0.0244249i
\(723\) 25.6981 13.0939i 0.955724 0.486966i
\(724\) 0.411734 3.91739i 0.0153020 0.145588i
\(725\) −0.620305 + 1.07440i −0.0230375 + 0.0399022i
\(726\) 1.82607 12.1508i 0.0677718 0.450957i
\(727\) 10.3246i 0.382916i 0.981501 + 0.191458i \(0.0613217\pi\)
−0.981501 + 0.191458i \(0.938678\pi\)
\(728\) −0.255312 + 1.90300i −0.00946251 + 0.0705300i
\(729\) 0.309017 0.951057i 0.0114451 0.0352243i
\(730\) 3.79986 + 5.85128i 0.140639 + 0.216565i
\(731\) −5.41427 51.5134i −0.200254 1.90529i
\(732\) −9.25237 4.11942i −0.341978 0.152258i
\(733\) 3.93646 + 2.00572i 0.145396 + 0.0740831i 0.525175 0.850994i \(-0.324000\pi\)
−0.379779 + 0.925077i \(0.624000\pi\)
\(734\) −2.45005 + 3.77275i −0.0904331 + 0.139255i
\(735\) 3.41801 + 4.22089i 0.126075 + 0.155690i
\(736\) 2.07442 + 2.07442i 0.0764641 + 0.0764641i
\(737\) −11.7024 + 11.7954i −0.431063 + 0.434487i
\(738\) −1.32954 0.767613i −0.0489412 0.0282562i
\(739\) 10.9709 + 4.21134i 0.403571 + 0.154916i 0.551682 0.834054i \(-0.313986\pi\)
−0.148111 + 0.988971i \(0.547319\pi\)
\(740\) −0.360222 0.117043i −0.0132420 0.00430259i
\(741\) −4.81851 + 8.82263i −0.177013 + 0.324107i
\(742\) −2.01511 + 1.46406i −0.0739770 + 0.0537474i
\(743\) −26.9237 21.8024i −0.987733 0.799851i −0.00796144 0.999968i \(-0.502534\pi\)
−0.979772 + 0.200118i \(0.935868\pi\)
\(744\) −3.57162 + 16.8032i −0.130942 + 0.616034i
\(745\) 0.702139 0.149244i 0.0257244 0.00546789i
\(746\) 0.682272 + 4.30769i 0.0249797 + 0.157716i
\(747\) −13.7248 3.67754i −0.502163 0.134554i
\(748\) 10.1593 + 7.31995i 0.371461 + 0.267644i
\(749\) −0.947015 + 0.947015i −0.0346032 + 0.0346032i
\(750\) 8.13090 + 0.854592i 0.296899 + 0.0312053i
\(751\) −33.6384 + 30.2882i −1.22748 + 1.10523i −0.236445 + 0.971645i \(0.575982\pi\)
−0.991037 + 0.133586i \(0.957351\pi\)
\(752\) −1.93556 + 1.25697i −0.0705825 + 0.0458368i
\(753\) 0.672045 + 0.924990i 0.0244907 + 0.0337085i
\(754\) 1.07313 0.377038i 0.0390810 0.0137309i
\(755\) 4.97875 1.61769i 0.181195 0.0588739i
\(756\) −0.130127 0.00681966i −0.00473267 0.000248029i
\(757\) −31.1853 + 13.8846i −1.13345 + 0.504644i −0.885736 0.464189i \(-0.846346\pi\)
−0.247714 + 0.968833i \(0.579679\pi\)
\(758\) 11.4199 + 19.7798i 0.414788 + 0.718434i
\(759\) 1.63751 + 1.80424i 0.0594380 + 0.0654897i
\(760\) −1.72873 + 6.45172i −0.0627077 + 0.234028i
\(761\) −0.747630 + 0.605419i −0.0271016 + 0.0219464i −0.642775 0.766055i \(-0.722217\pi\)
0.615674 + 0.788001i \(0.288884\pi\)
\(762\) 10.2584 + 20.1333i 0.371624 + 0.729354i
\(763\) 0.207968 0.230972i 0.00752894 0.00836173i
\(764\) 4.21760 0.443288i 0.152587 0.0160376i
\(765\) 2.46114 3.03925i 0.0889826 0.109884i
\(766\) 9.48980 + 29.2066i 0.342880 + 1.05528i
\(767\) 32.8104 + 22.6693i 1.18471 + 0.818542i
\(768\) 12.2808 + 8.92252i 0.443145 + 0.321964i
\(769\) −1.50344 5.61090i −0.0542153 0.202334i 0.933506 0.358563i \(-0.116733\pi\)
−0.987721 + 0.156228i \(0.950066\pi\)
\(770\) 0.0281460 + 0.499261i 0.00101431 + 0.0179921i
\(771\) −11.4979 + 6.63833i −0.414088 + 0.239074i
\(772\) 1.09223 0.172993i 0.0393103 0.00622615i
\(773\) −40.3985 26.2351i −1.45303 0.943610i −0.998604 0.0528262i \(-0.983177\pi\)
−0.454428 0.890784i \(-0.650156\pi\)
\(774\) −0.603353 11.5127i −0.0216871 0.413814i
\(775\) 3.83980 24.2435i 0.137930 0.870853i
\(776\) 9.68283 21.7480i 0.347593 0.780707i
\(777\) 0.109476 + 0.0232697i 0.00392741 + 0.000834797i
\(778\) 0.163030 3.11079i 0.00584490 0.111527i
\(779\) −2.25238 + 3.10013i −0.0806998 + 0.111074i
\(780\) 1.45109 + 1.53670i 0.0519573 + 0.0550227i
\(781\) −10.7519 8.63656i −0.384735 0.309040i
\(782\) 3.97811 1.06593i 0.142257 0.0381176i
\(783\) 0.114870 + 0.258003i 0.00410513 + 0.00922027i
\(784\) 2.79621 + 13.1551i 0.0998646 + 0.469826i
\(785\) −0.0773551 + 0.151818i −0.00276092 + 0.00541861i
\(786\) −0.895375 2.33253i −0.0319370 0.0831987i
\(787\) −9.86284 25.6936i −0.351572 0.915877i −0.989337 0.145645i \(-0.953474\pi\)
0.637765 0.770231i \(-0.279859\pi\)
\(788\) −1.60141 + 3.14295i −0.0570479 + 0.111963i
\(789\) 4.21447 + 19.8275i 0.150039 + 0.705879i
\(790\) −2.19174 4.92273i −0.0779786 0.175143i
\(791\) −1.01567 + 0.272149i −0.0361132 + 0.00967651i
\(792\) 7.94943 + 6.38542i 0.282471 + 0.226896i
\(793\) −23.0572 42.7170i −0.818785 1.51693i
\(794\) 17.2071 23.6835i 0.610656 0.840496i
\(795\) −0.525000 + 10.0176i −0.0186198 + 0.355288i
\(796\) 8.20472 + 1.74397i 0.290809 + 0.0618133i
\(797\) −11.1069 + 24.9465i −0.393426 + 0.883650i 0.602884 + 0.797829i \(0.294018\pi\)
−0.996311 + 0.0858215i \(0.972649\pi\)
\(798\) 0.0843907 0.532822i 0.00298740 0.0188617i
\(799\) −0.314161 5.99454i −0.0111142 0.212072i
\(800\) −14.7118 9.55396i −0.520141 0.337783i
\(801\) 1.54292 0.244375i 0.0545164 0.00863455i
\(802\) 20.5279 11.8518i 0.724865 0.418501i
\(803\) −1.49632 26.5422i −0.0528041 0.936654i
\(804\) −0.975409 3.64028i −0.0344000 0.128383i
\(805\) −0.0802221 0.0582848i −0.00282746 0.00205427i
\(806\) −17.1485 + 14.5732i −0.604030 + 0.513319i
\(807\) −9.16525 28.2077i −0.322632 0.992960i
\(808\) 29.5544 36.4966i 1.03972 1.28395i
\(809\) −32.6703 + 3.43379i −1.14863 + 0.120725i −0.659651 0.751572i \(-0.729296\pi\)
−0.488975 + 0.872298i \(0.662629\pi\)
\(810\) 0.582426 0.646850i 0.0204644 0.0227280i
\(811\) −23.9214 46.9484i −0.839994 1.64858i −0.758284 0.651924i \(-0.773962\pi\)
−0.0817097 0.996656i \(-0.526038\pi\)
\(812\) 0.0285996 0.0231595i 0.00100365 0.000812738i
\(813\) −6.63722 + 24.7704i −0.232777 + 0.868737i
\(814\) −1.60876 1.77256i −0.0563869 0.0621280i
\(815\) −4.01152 6.94816i −0.140518 0.243384i
\(816\) 8.84674 3.93882i 0.309698 0.137886i
\(817\) −28.7360 1.50599i −1.00534 0.0526879i
\(818\) 24.0070 7.80035i 0.839386 0.272733i
\(819\) −0.473904 0.406778i −0.0165595 0.0142140i
\(820\) 0.473556 + 0.651794i 0.0165373 + 0.0227616i
\(821\) 14.7568 9.58315i 0.515014 0.334454i −0.260824 0.965386i \(-0.583994\pi\)
0.775838 + 0.630932i \(0.217327\pi\)
\(822\) −11.3347 + 10.2058i −0.395343 + 0.355969i
\(823\) −36.9960 3.88843i −1.28960 0.135542i −0.565218 0.824942i \(-0.691208\pi\)
−0.724381 + 0.689400i \(0.757874\pi\)
\(824\) −21.4612 + 21.4612i −0.747636 + 0.747636i
\(825\) −11.8205 8.51689i −0.411539 0.296520i
\(826\) −2.06718 0.553900i −0.0719265 0.0192726i
\(827\) −4.53480 28.6316i −0.157690 0.995619i −0.931907 0.362698i \(-0.881856\pi\)
0.774216 0.632921i \(-0.218144\pi\)
\(828\) −0.540573 + 0.114902i −0.0187862 + 0.00399313i
\(829\) −9.16694 + 43.1271i −0.318381 + 1.49786i 0.469994 + 0.882670i \(0.344256\pi\)
−0.788375 + 0.615195i \(0.789077\pi\)
\(830\) −9.61155 7.78328i −0.333622 0.270162i
\(831\) 2.46313 1.78957i 0.0854451 0.0620795i
\(832\) 8.44869 + 28.7829i 0.292906 + 0.997866i
\(833\) −33.2686 10.8096i −1.15269 0.374531i
\(834\) −2.77628 1.06571i −0.0961347 0.0369027i
\(835\) −4.97324 2.87130i −0.172106 0.0993654i
\(836\) 4.89937 4.93828i 0.169448 0.170794i
\(837\) −3.95112 3.95112i −0.136571 0.136571i
\(838\) 22.8983 + 28.2771i 0.791010 + 0.976816i
\(839\) 6.11747 9.42008i 0.211199 0.325217i −0.717156 0.696912i \(-0.754557\pi\)
0.928355 + 0.371695i \(0.121223\pi\)
\(840\) −0.369736 0.188390i −0.0127571 0.00650007i
\(841\) 26.4200 + 11.7629i 0.911033 + 0.405618i
\(842\) −3.68349 35.0461i −0.126942 1.20777i
\(843\) 10.7610 + 16.5705i 0.370630 + 0.570720i
\(844\) −2.17754 + 6.70178i −0.0749540 + 0.230685i
\(845\) 1.00916 + 10.0797i 0.0347162 + 0.346751i
\(846\) 1.33603i 0.0459338i
\(847\) 0.851568 1.70450i 0.0292602 0.0585674i
\(848\) −12.4199 + 21.5119i −0.426501 + 0.738722i
\(849\) −1.70705 + 16.2415i −0.0585857 + 0.557406i
\(850\) −21.9421 + 11.1800i −0.752606 + 0.383472i
\(851\) 0.474028 0.0248428i 0.0162495 0.000851599i
\(852\) 2.92029 1.12100i 0.100048 0.0384047i
\(853\) 34.8315 + 5.51677i 1.19261 + 0.188891i 0.721011 0.692923i \(-0.243678\pi\)
0.471597 + 0.881814i \(0.343678\pi\)
\(854\) 1.93587 + 1.74306i 0.0662440 + 0.0596463i
\(855\) −1.45375 1.61456i −0.0497174 0.0552167i
\(856\) −8.51848 + 22.1914i −0.291156 + 0.758487i
\(857\) −1.15788 −0.0395523 −0.0197761 0.999804i \(-0.506295\pi\)
−0.0197761 + 0.999804i \(0.506295\pi\)
\(858\) 3.13761 + 12.9839i 0.107116 + 0.443262i
\(859\) −14.7558 −0.503462 −0.251731 0.967797i \(-0.581000\pi\)
−0.251731 + 0.967797i \(0.581000\pi\)
\(860\) −2.16811 + 5.64812i −0.0739319 + 0.192599i
\(861\) −0.159299 0.176919i −0.00542889 0.00602939i
\(862\) −14.5305 13.0833i −0.494912 0.445620i
\(863\) −6.83679 1.08284i −0.232727 0.0368603i 0.0389815 0.999240i \(-0.487589\pi\)
−0.271709 + 0.962380i \(0.587589\pi\)
\(864\) −3.72808 + 1.43108i −0.126832 + 0.0486862i
\(865\) −13.2408 + 0.693923i −0.450202 + 0.0235941i
\(866\) −33.3268 + 16.9809i −1.13249 + 0.577033i
\(867\) −0.855858 + 8.14295i −0.0290665 + 0.276549i
\(868\) −0.364056 + 0.630563i −0.0123569 + 0.0214027i
\(869\) −2.06544 + 20.4284i −0.0700652 + 0.692985i
\(870\) 0.245824i 0.00833421i
\(871\) 6.95356 16.6709i 0.235612 0.564873i
\(872\) 1.70462 5.24629i 0.0577258 0.177662i
\(873\) 4.21741 + 6.49425i 0.142738 + 0.219797i
\(874\) −0.239157 2.27543i −0.00808962 0.0769676i
\(875\) 1.15820 + 0.515665i 0.0391544 + 0.0174326i
\(876\) 5.37258 + 2.73746i 0.181523 + 0.0924904i
\(877\) 1.10592 1.70296i 0.0373441 0.0575049i −0.819506 0.573071i \(-0.805752\pi\)
0.856850 + 0.515566i \(0.172418\pi\)
\(878\) 8.80275 + 10.8705i 0.297079 + 0.366861i
\(879\) −4.68096 4.68096i −0.157885 0.157885i
\(880\) 2.28153 + 4.43430i 0.0769102 + 0.149480i
\(881\) −16.0879 9.28834i −0.542014 0.312932i 0.203881 0.978996i \(-0.434645\pi\)
−0.745895 + 0.666064i \(0.767978\pi\)
\(882\) −7.26850 2.79012i −0.244743 0.0939481i
\(883\) −30.6664 9.96412i −1.03201 0.335319i −0.256424 0.966564i \(-0.582544\pi\)
−0.775583 + 0.631245i \(0.782544\pi\)
\(884\) −13.2285 3.21043i −0.444924 0.107978i
\(885\) −6.97286 + 5.06608i −0.234390 + 0.170294i
\(886\) −22.0116 17.8247i −0.739496 0.598832i
\(887\) 3.02978 14.2540i 0.101730 0.478602i −0.897559 0.440895i \(-0.854661\pi\)
0.999289 0.0377074i \(-0.0120055\pi\)
\(888\) 1.94302 0.413002i 0.0652036 0.0138595i
\(889\) 0.548147 + 3.46086i 0.0183842 + 0.116074i
\(890\) 1.31340 + 0.351925i 0.0440253 + 0.0117965i
\(891\) −3.15022 + 1.03736i −0.105536 + 0.0347530i
\(892\) −7.25545 + 7.25545i −0.242931 + 0.242931i
\(893\) −3.31651 0.348580i −0.110983 0.0116648i
\(894\) −0.764688 + 0.688528i −0.0255750 + 0.0230278i
\(895\) −16.1540 + 10.4905i −0.539969 + 0.350660i
\(896\) −0.133037 0.183110i −0.00444446 0.00611728i
\(897\) −2.38795 1.14623i −0.0797312 0.0382716i
\(898\) 0.601869 0.195559i 0.0200846 0.00652590i
\(899\) 1.57592 + 0.0825905i 0.0525599 + 0.00275455i
\(900\) 3.01886 1.34408i 0.100629 0.0448028i
\(901\) −32.3039 55.9520i −1.07620 1.86403i
\(902\) 0.552262 + 5.06173i 0.0183883 + 0.168537i
\(903\) 0.462697 1.72681i 0.0153976 0.0574646i
\(904\) −14.5036 + 11.7447i −0.482381 + 0.390624i
\(905\) 1.85236 + 3.63546i 0.0615745 + 0.120847i
\(906\) −5.02130 + 5.57672i −0.166822 + 0.185274i
\(907\) −16.2503 + 1.70798i −0.539584 + 0.0567125i −0.370401 0.928872i \(-0.620780\pi\)
−0.169183 + 0.985585i \(0.554113\pi\)
\(908\) 11.0007 13.5847i 0.365071 0.450826i
\(909\) 4.72042 + 14.5280i 0.156566 + 0.481862i
\(910\) −0.232821 0.491235i −0.00771795 0.0162843i
\(911\) 0.577580 + 0.419637i 0.0191361 + 0.0139032i 0.597312 0.802009i \(-0.296235\pi\)
−0.578176 + 0.815912i \(0.696235\pi\)
\(912\) −1.39240 5.19652i −0.0461071 0.172074i
\(913\) 17.0622 + 43.9284i 0.564677 + 1.45382i
\(914\) −31.6879 + 18.2950i −1.04814 + 0.605145i
\(915\) 10.3619 1.64116i 0.342554 0.0542552i
\(916\) 13.5400 + 8.79300i 0.447375 + 0.290529i
\(917\) −0.0202771 0.386910i −0.000669608 0.0127769i
\(918\) −0.876977 + 5.53702i −0.0289446 + 0.182749i
\(919\) −20.2159 + 45.4056i −0.666860 + 1.49779i 0.189752 + 0.981832i \(0.439231\pi\)
−0.856613 + 0.515960i \(0.827435\pi\)
\(920\) −1.72148 0.365912i −0.0567555 0.0120638i
\(921\) −0.0397798 + 0.759045i −0.00131079 + 0.0250114i
\(922\) −9.46866 + 13.0325i −0.311834 + 0.429202i
\(923\) 14.3646 + 4.29355i 0.472815 + 0.141324i
\(924\) 0.236811 + 0.361518i 0.00779051 + 0.0118931i
\(925\) −2.74162 + 0.734614i −0.0901438 + 0.0241540i
\(926\) 5.96181 + 13.3904i 0.195917 + 0.440037i
\(927\) −2.05256 9.65654i −0.0674149 0.317162i
\(928\) 0.512006 1.00487i 0.0168074 0.0329864i
\(929\) 10.8782 + 28.3388i 0.356904 + 0.929766i 0.988054 + 0.154105i \(0.0492495\pi\)
−0.631151 + 0.775660i \(0.717417\pi\)
\(930\) −1.74299 4.54064i −0.0571548 0.148893i
\(931\) −8.82247 + 17.3151i −0.289145 + 0.567479i
\(932\) −4.52802 21.3027i −0.148320 0.697792i
\(933\) 2.06971 + 4.64864i 0.0677592 + 0.152190i
\(934\) 10.3535 2.77421i 0.338777 0.0907750i
\(935\) −12.9554 0.627585i −0.423688 0.0205242i
\(936\) −10.6204 3.17443i −0.347139 0.103759i
\(937\) 19.5960 26.9716i 0.640174 0.881123i −0.358451 0.933548i \(-0.616695\pi\)
0.998625 + 0.0524252i \(0.0166951\pi\)
\(938\) −0.0507305 + 0.967996i −0.00165641 + 0.0316062i
\(939\) −29.7508 6.32373i −0.970882 0.206367i
\(940\) −0.285175 + 0.640513i −0.00930138 + 0.0208912i
\(941\) 2.14993 13.5741i 0.0700856 0.442503i −0.927545 0.373711i \(-0.878085\pi\)
0.997631 0.0687926i \(-0.0219147\pi\)
\(942\) −0.0127830 0.243915i −0.000416494 0.00794717i
\(943\) −0.846799 0.549918i −0.0275756 0.0179078i
\(944\) −21.0796 + 3.33868i −0.686082 + 0.108665i
\(945\) 0.116893 0.0674884i 0.00380254 0.00219540i
\(946\) −29.6192 + 24.1798i −0.963004 + 0.786153i
\(947\) −10.7377 40.0737i −0.348929 1.30222i −0.887954 0.459932i \(-0.847874\pi\)
0.539025 0.842290i \(-0.318793\pi\)
\(948\) −3.76770 2.73739i −0.122369 0.0889063i
\(949\) 12.3775 + 26.1155i 0.401790 + 0.847746i
\(950\) 4.22761 + 13.0112i 0.137162 + 0.422140i
\(951\) 9.74050 12.0285i 0.315857 0.390051i
\(952\) 2.65798 0.279365i 0.0861455 0.00905426i
\(953\) 17.3587 19.2788i 0.562303 0.624500i −0.393211 0.919448i \(-0.628636\pi\)
0.955513 + 0.294948i \(0.0953023\pi\)
\(954\) −6.52826 12.8124i −0.211360 0.414818i
\(955\) −3.41390 + 2.76452i −0.110471 + 0.0894578i
\(956\) 2.52966 9.44082i 0.0818150 0.305338i
\(957\) 0.465127 0.813034i 0.0150354 0.0262817i
\(958\) −8.39809 14.5459i −0.271330 0.469957i
\(959\) −2.16071 + 0.962010i −0.0697729 + 0.0310649i
\(960\) −6.47415 0.339296i −0.208952 0.0109507i
\(961\) −0.211808 + 0.0688206i −0.00683252 + 0.00222002i
\(962\) 2.34601 + 1.12610i 0.0756385 + 0.0363070i
\(963\) −4.54465 6.25517i −0.146449 0.201570i
\(964\) 18.1964 11.8169i 0.586065 0.380595i
\(965\) −0.851267 + 0.766484i −0.0274033 + 0.0246740i
\(966\) 0.141365 + 0.0148581i 0.00454835 + 0.000478051i
\(967\) −27.8381 + 27.8381i −0.895212 + 0.895212i −0.995008 0.0997955i \(-0.968181\pi\)
0.0997955 + 0.995008i \(0.468181\pi\)
\(968\) 1.50264 33.7843i 0.0482967 1.08587i
\(969\) 13.5161 + 3.62162i 0.434198 + 0.116343i
\(970\) 1.05439 + 6.65713i 0.0338543 + 0.213748i
\(971\) 17.4302 3.70489i 0.559360 0.118896i 0.0804485 0.996759i \(-0.474365\pi\)
0.478912 + 0.877863i \(0.341031\pi\)
\(972\) 0.156405 0.735829i 0.00501670 0.0236017i
\(973\) −0.358380 0.290210i −0.0114891 0.00930371i
\(974\) 18.8951 13.7281i 0.605439 0.439877i
\(975\) 15.3916 + 3.73539i 0.492927 + 0.119628i
\(976\) 24.7067 + 8.02770i 0.790843 + 0.256960i
\(977\) 34.2273 + 13.1386i 1.09503 + 0.420342i 0.837782 0.546005i \(-0.183852\pi\)
0.257245 + 0.966346i \(0.417185\pi\)
\(978\) 9.96005 + 5.75044i 0.318487 + 0.183879i
\(979\) −3.67804 3.64905i −0.117551 0.116624i
\(980\) 2.88908 + 2.88908i 0.0922881 + 0.0922881i
\(981\) 1.12919 + 1.39443i 0.0360522 + 0.0445208i
\(982\) 11.0333 16.9898i 0.352086 0.542165i
\(983\) 19.5211 + 9.94652i 0.622628 + 0.317245i 0.736692 0.676229i \(-0.236387\pi\)
−0.114064 + 0.993473i \(0.536387\pi\)
\(984\) −3.86005 1.71861i −0.123054 0.0547872i
\(985\) −0.381933 3.63385i −0.0121694 0.115784i
\(986\) −0.862301 1.32783i −0.0274613 0.0422866i
\(987\) 0.0640220 0.197039i 0.00203784 0.00627183i
\(988\) −2.91120 + 6.97951i −0.0926176 + 0.222048i
\(989\) 7.58207i 0.241096i
\(990\) −2.87222 0.290400i −0.0912851 0.00922951i
\(991\) −16.7918 + 29.0843i −0.533410 + 0.923893i 0.465829 + 0.884875i \(0.345756\pi\)
−0.999239 + 0.0390182i \(0.987577\pi\)
\(992\) −2.33240 + 22.1913i −0.0740539 + 0.704576i
\(993\) −21.1516 + 10.7773i −0.671225 + 0.342006i
\(994\) −0.803448 + 0.0421069i −0.0254838 + 0.00133555i
\(995\) −8.11163 + 3.11376i −0.257156 + 0.0987129i
\(996\) −10.5573 1.67211i −0.334521 0.0529829i
\(997\) 35.6693 + 32.1168i 1.12966 + 1.01715i 0.999671 + 0.0256328i \(0.00816006\pi\)
0.129986 + 0.991516i \(0.458507\pi\)
\(998\) −19.4307 21.5800i −0.615068 0.683102i
\(999\) −0.231554 + 0.603218i −0.00732603 + 0.0190850i
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 429.2.bs.b.7.10 224
11.8 odd 10 inner 429.2.bs.b.85.10 yes 224
13.2 odd 12 inner 429.2.bs.b.106.10 yes 224
143.41 even 60 inner 429.2.bs.b.184.10 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
429.2.bs.b.7.10 224 1.1 even 1 trivial
429.2.bs.b.85.10 yes 224 11.8 odd 10 inner
429.2.bs.b.106.10 yes 224 13.2 odd 12 inner
429.2.bs.b.184.10 yes 224 143.41 even 60 inner