Properties

Label 483.2.r.a.181.19
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
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] = [483,2,Mod(34,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 11, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.34");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.19
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0752500 + 0.523375i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(1.65073 - 0.484697i) q^{4} +(1.76629 - 2.03840i) q^{5} +(0.148968 - 0.507339i) q^{6} +(2.39009 + 1.13467i) q^{7} +(0.817203 + 1.78943i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.0752500 + 0.523375i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(1.65073 - 0.484697i) q^{4} +(1.76629 - 2.03840i) q^{5} +(0.148968 - 0.507339i) q^{6} +(2.39009 + 1.13467i) q^{7} +(0.817203 + 1.78943i) q^{8} +(0.654861 + 0.755750i) q^{9} +(1.19976 + 0.771041i) q^{10} +(-2.70050 - 0.388273i) q^{11} +(-1.70290 - 0.244841i) q^{12} +(0.411813 - 0.640793i) q^{13} +(-0.414003 + 1.33630i) q^{14} +(-2.45345 + 1.12046i) q^{15} +(2.01956 - 1.29790i) q^{16} +(0.483157 + 0.141868i) q^{17} +(-0.346262 + 0.399608i) q^{18} +(-0.0399038 + 0.0117168i) q^{19} +(1.92765 - 4.22096i) q^{20} +(-1.70274 - 2.02501i) q^{21} -1.44259i q^{22} +(-3.73829 - 3.00420i) q^{23} -1.96720i q^{24} +(-0.323746 - 2.25170i) q^{25} +(0.366364 + 0.167313i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(4.49536 + 0.714557i) q^{28} +(3.79441 + 1.11414i) q^{29} +(-0.771041 - 1.19976i) q^{30} +(-5.71157 + 2.60838i) q^{31} +(3.40774 + 3.93274i) q^{32} +(2.29517 + 1.47501i) q^{33} +(-0.0378924 + 0.263548i) q^{34} +(6.53449 - 2.86782i) q^{35} +(1.44731 + 0.930127i) q^{36} +(4.10731 - 3.55900i) q^{37} +(-0.00913506 - 0.0200030i) q^{38} +(-0.640793 + 0.411813i) q^{39} +(5.09099 + 1.49485i) q^{40} +(-5.63279 - 4.88084i) q^{41} +(0.931708 - 1.04356i) q^{42} +(8.94510 + 4.08509i) q^{43} +(-4.64598 + 0.667991i) q^{44} +2.69719 q^{45} +(1.29102 - 2.18259i) q^{46} -0.346933i q^{47} +(-2.37623 + 0.341650i) q^{48} +(4.42506 + 5.42392i) q^{49} +(1.15412 - 0.338881i) q^{50} +(-0.380561 - 0.329758i) q^{51} +(0.369200 - 1.25738i) q^{52} +(-1.27514 - 1.98415i) q^{53} +(0.480975 - 0.219654i) q^{54} +(-5.56131 + 4.81891i) q^{55} +(-0.0772144 + 5.20414i) q^{56} +(0.0411651 + 0.00591865i) q^{57} +(-0.297583 + 2.06974i) q^{58} +(-3.76908 + 5.86481i) q^{59} +(-3.50690 + 3.03875i) q^{60} +(4.33678 + 9.49623i) q^{61} +(-1.79496 - 2.79301i) q^{62} +(0.707651 + 2.54936i) q^{63} +(1.34233 - 1.54913i) q^{64} +(-0.578816 - 1.97127i) q^{65} +(-0.599275 + 1.31223i) q^{66} +(-12.8470 + 1.84712i) q^{67} +0.866322 q^{68} +(2.15248 + 4.28565i) q^{69} +(1.99267 + 3.20419i) q^{70} +(-0.383436 - 2.66686i) q^{71} +(-0.817203 + 1.78943i) q^{72} +(-2.43056 - 8.27772i) q^{73} +(2.17177 + 1.88185i) q^{74} +(-0.640901 + 2.18271i) q^{75} +(-0.0601912 + 0.0386825i) q^{76} +(-6.01387 - 3.99218i) q^{77} +(-0.263752 - 0.304386i) q^{78} +(0.221838 - 0.345187i) q^{79} +(0.921496 - 6.40914i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(2.13064 - 3.31535i) q^{82} +(-8.16416 - 9.42195i) q^{83} +(-3.79228 - 2.51742i) q^{84} +(1.14258 - 0.734289i) q^{85} +(-1.46492 + 4.98905i) q^{86} +(-2.98868 - 2.58971i) q^{87} +(-1.51207 - 5.14964i) q^{88} +(-2.18387 + 4.78201i) q^{89} +(0.202964 + 1.41165i) q^{90} +(1.71136 - 1.06428i) q^{91} +(-7.62702 - 3.14717i) q^{92} +6.27898 q^{93} +(0.181576 - 0.0261067i) q^{94} +(-0.0465980 + 0.102035i) q^{95} +(-1.46607 - 4.99297i) q^{96} +(-0.138876 + 0.160271i) q^{97} +(-2.50576 + 2.72412i) q^{98} +(-1.47501 - 2.29517i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0752500 + 0.523375i 0.0532098 + 0.370082i 0.998976 + 0.0452352i \(0.0144037\pi\)
−0.945767 + 0.324847i \(0.894687\pi\)
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) 1.65073 0.484697i 0.825363 0.242349i
\(5\) 1.76629 2.03840i 0.789907 0.911602i −0.207875 0.978155i \(-0.566655\pi\)
0.997783 + 0.0665536i \(0.0212003\pi\)
\(6\) 0.148968 0.507339i 0.0608160 0.207120i
\(7\) 2.39009 + 1.13467i 0.903369 + 0.428864i
\(8\) 0.817203 + 1.78943i 0.288925 + 0.632657i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 1.19976 + 0.771041i 0.379398 + 0.243825i
\(11\) −2.70050 0.388273i −0.814231 0.117069i −0.277396 0.960756i \(-0.589471\pi\)
−0.536835 + 0.843687i \(0.680380\pi\)
\(12\) −1.70290 0.244841i −0.491586 0.0706794i
\(13\) 0.411813 0.640793i 0.114216 0.177724i −0.779439 0.626478i \(-0.784496\pi\)
0.893655 + 0.448754i \(0.148132\pi\)
\(14\) −0.414003 + 1.33630i −0.110647 + 0.357141i
\(15\) −2.45345 + 1.12046i −0.633479 + 0.289300i
\(16\) 2.01956 1.29790i 0.504891 0.324474i
\(17\) 0.483157 + 0.141868i 0.117183 + 0.0344079i 0.339798 0.940498i \(-0.389641\pi\)
−0.222615 + 0.974906i \(0.571459\pi\)
\(18\) −0.346262 + 0.399608i −0.0816148 + 0.0941885i
\(19\) −0.0399038 + 0.0117168i −0.00915457 + 0.00268802i −0.286307 0.958138i \(-0.592428\pi\)
0.277152 + 0.960826i \(0.410609\pi\)
\(20\) 1.92765 4.22096i 0.431035 0.943836i
\(21\) −1.70274 2.02501i −0.371569 0.441893i
\(22\) 1.44259i 0.307562i
\(23\) −3.73829 3.00420i −0.779487 0.626418i
\(24\) 1.96720i 0.401552i
\(25\) −0.323746 2.25170i −0.0647492 0.450340i
\(26\) 0.366364 + 0.167313i 0.0718499 + 0.0328128i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) 4.49536 + 0.714557i 0.849542 + 0.135039i
\(29\) 3.79441 + 1.11414i 0.704603 + 0.206890i 0.614356 0.789029i \(-0.289416\pi\)
0.0902476 + 0.995919i \(0.471234\pi\)
\(30\) −0.771041 1.19976i −0.140772 0.219046i
\(31\) −5.71157 + 2.60838i −1.02583 + 0.468480i −0.855990 0.516992i \(-0.827052\pi\)
−0.169837 + 0.985472i \(0.554324\pi\)
\(32\) 3.40774 + 3.93274i 0.602409 + 0.695217i
\(33\) 2.29517 + 1.47501i 0.399537 + 0.256767i
\(34\) −0.0378924 + 0.263548i −0.00649850 + 0.0451981i
\(35\) 6.53449 2.86782i 1.10453 0.484750i
\(36\) 1.44731 + 0.930127i 0.241218 + 0.155021i
\(37\) 4.10731 3.55900i 0.675238 0.585097i −0.248263 0.968693i \(-0.579860\pi\)
0.923501 + 0.383596i \(0.125314\pi\)
\(38\) −0.00913506 0.0200030i −0.00148190 0.00324491i
\(39\) −0.640793 + 0.411813i −0.102609 + 0.0659428i
\(40\) 5.09099 + 1.49485i 0.804956 + 0.236356i
\(41\) −5.63279 4.88084i −0.879694 0.762259i 0.0926782 0.995696i \(-0.470457\pi\)
−0.972372 + 0.233437i \(0.925003\pi\)
\(42\) 0.931708 1.04356i 0.143766 0.161024i
\(43\) 8.94510 + 4.08509i 1.36412 + 0.622971i 0.956915 0.290368i \(-0.0937777\pi\)
0.407201 + 0.913339i \(0.366505\pi\)
\(44\) −4.64598 + 0.667991i −0.700408 + 0.100703i
\(45\) 2.69719 0.402074
\(46\) 1.29102 2.18259i 0.190350 0.321806i
\(47\) 0.346933i 0.0506054i −0.999680 0.0253027i \(-0.991945\pi\)
0.999680 0.0253027i \(-0.00805497\pi\)
\(48\) −2.37623 + 0.341650i −0.342979 + 0.0493129i
\(49\) 4.42506 + 5.42392i 0.632151 + 0.774845i
\(50\) 1.15412 0.338881i 0.163218 0.0479251i
\(51\) −0.380561 0.329758i −0.0532892 0.0461753i
\(52\) 0.369200 1.25738i 0.0511988 0.174367i
\(53\) −1.27514 1.98415i −0.175154 0.272545i 0.742566 0.669773i \(-0.233608\pi\)
−0.917720 + 0.397228i \(0.869972\pi\)
\(54\) 0.480975 0.219654i 0.0654524 0.0298911i
\(55\) −5.56131 + 4.81891i −0.749887 + 0.649781i
\(56\) −0.0772144 + 5.20414i −0.0103182 + 0.695433i
\(57\) 0.0411651 + 0.00591865i 0.00545246 + 0.000783945i
\(58\) −0.297583 + 2.06974i −0.0390746 + 0.271770i
\(59\) −3.76908 + 5.86481i −0.490693 + 0.763533i −0.994988 0.0999988i \(-0.968116\pi\)
0.504295 + 0.863532i \(0.331752\pi\)
\(60\) −3.50690 + 3.03875i −0.452739 + 0.392301i
\(61\) 4.33678 + 9.49623i 0.555268 + 1.21587i 0.954278 + 0.298921i \(0.0966267\pi\)
−0.399010 + 0.916947i \(0.630646\pi\)
\(62\) −1.79496 2.79301i −0.227960 0.354713i
\(63\) 0.707651 + 2.54936i 0.0891557 + 0.321189i
\(64\) 1.34233 1.54913i 0.167791 0.193642i
\(65\) −0.578816 1.97127i −0.0717932 0.244505i
\(66\) −0.599275 + 1.31223i −0.0737656 + 0.161524i
\(67\) −12.8470 + 1.84712i −1.56951 + 0.225661i −0.871488 0.490417i \(-0.836845\pi\)
−0.698020 + 0.716078i \(0.745936\pi\)
\(68\) 0.866322 0.105057
\(69\) 2.15248 + 4.28565i 0.259128 + 0.515932i
\(70\) 1.99267 + 3.20419i 0.238169 + 0.382974i
\(71\) −0.383436 2.66686i −0.0455055 0.316498i −0.999842 0.0177645i \(-0.994345\pi\)
0.954337 0.298733i \(-0.0965640\pi\)
\(72\) −0.817203 + 1.78943i −0.0963083 + 0.210886i
\(73\) −2.43056 8.27772i −0.284475 0.968834i −0.970469 0.241226i \(-0.922450\pi\)
0.685994 0.727608i \(-0.259368\pi\)
\(74\) 2.17177 + 1.88185i 0.252463 + 0.218761i
\(75\) −0.640901 + 2.18271i −0.0740049 + 0.252038i
\(76\) −0.0601912 + 0.0386825i −0.00690441 + 0.00443719i
\(77\) −6.01387 3.99218i −0.685345 0.454951i
\(78\) −0.263752 0.304386i −0.0298641 0.0344650i
\(79\) 0.221838 0.345187i 0.0249588 0.0388366i −0.828550 0.559915i \(-0.810834\pi\)
0.853509 + 0.521078i \(0.174470\pi\)
\(80\) 0.921496 6.40914i 0.103026 0.716564i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 2.13064 3.31535i 0.235290 0.366119i
\(83\) −8.16416 9.42195i −0.896133 1.03419i −0.999219 0.0395204i \(-0.987417\pi\)
0.103085 0.994672i \(-0.467128\pi\)
\(84\) −3.79228 2.51742i −0.413772 0.274673i
\(85\) 1.14258 0.734289i 0.123930 0.0796448i
\(86\) −1.46492 + 4.98905i −0.157966 + 0.537983i
\(87\) −2.98868 2.58971i −0.320420 0.277646i
\(88\) −1.51207 5.14964i −0.161187 0.548954i
\(89\) −2.18387 + 4.78201i −0.231490 + 0.506892i −0.989356 0.145518i \(-0.953515\pi\)
0.757866 + 0.652411i \(0.226242\pi\)
\(90\) 0.202964 + 1.41165i 0.0213943 + 0.148800i
\(91\) 1.71136 1.06428i 0.179399 0.111567i
\(92\) −7.62702 3.14717i −0.795172 0.328115i
\(93\) 6.27898 0.651100
\(94\) 0.181576 0.0261067i 0.0187282 0.00269271i
\(95\) −0.0465980 + 0.102035i −0.00478085 + 0.0104686i
\(96\) −1.46607 4.99297i −0.149630 0.509593i
\(97\) −0.138876 + 0.160271i −0.0141007 + 0.0162731i −0.762756 0.646686i \(-0.776154\pi\)
0.748655 + 0.662959i \(0.230700\pi\)
\(98\) −2.50576 + 2.72412i −0.253120 + 0.275177i
\(99\) −1.47501 2.29517i −0.148244 0.230673i
\(100\) −1.62581 3.56003i −0.162581 0.356003i
\(101\) −12.2123 + 10.5820i −1.21517 + 1.05295i −0.218137 + 0.975918i \(0.569998\pi\)
−0.997029 + 0.0770293i \(0.975456\pi\)
\(102\) 0.143950 0.223990i 0.0142532 0.0221784i
\(103\) −0.935789 + 6.50856i −0.0922060 + 0.641307i 0.890341 + 0.455294i \(0.150466\pi\)
−0.982547 + 0.186013i \(0.940443\pi\)
\(104\) 1.48319 + 0.213250i 0.145438 + 0.0209109i
\(105\) −7.13532 0.105868i −0.696336 0.0103316i
\(106\) 0.942503 0.816684i 0.0915440 0.0793233i
\(107\) −1.75185 + 0.800042i −0.169358 + 0.0773430i −0.498290 0.867010i \(-0.666038\pi\)
0.328932 + 0.944353i \(0.393311\pi\)
\(108\) −0.930127 1.44731i −0.0895015 0.139267i
\(109\) 1.76274 6.00333i 0.168840 0.575015i −0.830985 0.556295i \(-0.812223\pi\)
0.999825 0.0187203i \(-0.00595919\pi\)
\(110\) −2.94059 2.54803i −0.280374 0.242945i
\(111\) −5.21461 + 1.53115i −0.494948 + 0.145330i
\(112\) 6.29962 0.810552i 0.595258 0.0765899i
\(113\) −7.23377 + 1.04006i −0.680496 + 0.0978405i −0.473890 0.880584i \(-0.657151\pi\)
−0.206605 + 0.978424i \(0.566242\pi\)
\(114\) 0.0219902i 0.00205957i
\(115\) −12.7267 + 2.31387i −1.18677 + 0.215769i
\(116\) 6.80355 0.631693
\(117\) 0.753959 0.108403i 0.0697036 0.0100219i
\(118\) −3.35312 1.53132i −0.308680 0.140969i
\(119\) 0.993815 + 0.887298i 0.0911029 + 0.0813385i
\(120\) −4.00994 3.47463i −0.366056 0.317189i
\(121\) −3.41248 1.00199i −0.310226 0.0910905i
\(122\) −4.64375 + 2.98436i −0.420425 + 0.270191i
\(123\) 3.09619 + 6.77971i 0.279174 + 0.611306i
\(124\) −8.16396 + 7.07411i −0.733145 + 0.635274i
\(125\) 6.18342 + 3.97384i 0.553061 + 0.355431i
\(126\) −1.28102 + 0.562206i −0.114122 + 0.0500853i
\(127\) 1.19758 8.32934i 0.106268 0.739109i −0.865112 0.501578i \(-0.832753\pi\)
0.971380 0.237531i \(-0.0763380\pi\)
\(128\) 9.66715 + 6.21270i 0.854464 + 0.549131i
\(129\) −6.43974 7.43186i −0.566988 0.654339i
\(130\) 0.988156 0.451276i 0.0866670 0.0395795i
\(131\) 6.84641 + 10.6532i 0.598174 + 0.930776i 0.999887 + 0.0150111i \(0.00477835\pi\)
−0.401714 + 0.915765i \(0.631585\pi\)
\(132\) 4.50363 + 1.32238i 0.391990 + 0.115099i
\(133\) −0.108668 0.0172733i −0.00942275 0.00149779i
\(134\) −1.93347 6.58480i −0.167026 0.568840i
\(135\) −2.45345 1.12046i −0.211160 0.0964334i
\(136\) 0.140976 + 0.980507i 0.0120886 + 0.0840778i
\(137\) 1.92949i 0.164847i 0.996597 + 0.0824236i \(0.0262661\pi\)
−0.996597 + 0.0824236i \(0.973734\pi\)
\(138\) −2.08103 + 1.44905i −0.177149 + 0.123351i
\(139\) 20.5104i 1.73967i 0.493342 + 0.869835i \(0.335775\pi\)
−0.493342 + 0.869835i \(0.664225\pi\)
\(140\) 9.39664 7.90124i 0.794161 0.667776i
\(141\) −0.144121 + 0.315582i −0.0121372 + 0.0265768i
\(142\) 1.36691 0.401362i 0.114709 0.0336815i
\(143\) −1.36090 + 1.57057i −0.113804 + 0.131337i
\(144\) 2.30342 + 0.676344i 0.191951 + 0.0563620i
\(145\) 8.97307 5.76664i 0.745173 0.478894i
\(146\) 4.14946 1.89499i 0.343411 0.156831i
\(147\) −1.77200 6.77200i −0.146152 0.558545i
\(148\) 5.05501 7.86575i 0.415519 0.646560i
\(149\) 5.55769 + 0.799076i 0.455304 + 0.0654628i 0.366152 0.930555i \(-0.380675\pi\)
0.0891523 + 0.996018i \(0.471584\pi\)
\(150\) −1.19060 0.171183i −0.0972124 0.0139770i
\(151\) −14.4632 9.29492i −1.17700 0.756410i −0.202165 0.979351i \(-0.564798\pi\)
−0.974832 + 0.222941i \(0.928434\pi\)
\(152\) −0.0535759 0.0618299i −0.00434558 0.00501507i
\(153\) 0.209184 + 0.458049i 0.0169115 + 0.0370311i
\(154\) 1.63686 3.44793i 0.131902 0.277842i
\(155\) −4.77132 + 16.2496i −0.383242 + 1.30520i
\(156\) −0.858170 + 0.990381i −0.0687086 + 0.0792939i
\(157\) −10.6268 + 3.12031i −0.848110 + 0.249028i −0.676779 0.736186i \(-0.736625\pi\)
−0.171331 + 0.985214i \(0.554807\pi\)
\(158\) 0.197356 + 0.0901293i 0.0157008 + 0.00717031i
\(159\) 0.335659 + 2.33456i 0.0266195 + 0.185143i
\(160\) 14.0356 1.10961
\(161\) −5.52608 11.4220i −0.435516 0.900181i
\(162\) −0.528757 −0.0415431
\(163\) 1.44285 + 10.0353i 0.113013 + 0.786023i 0.964960 + 0.262395i \(0.0845125\pi\)
−0.851947 + 0.523627i \(0.824578\pi\)
\(164\) −11.6639 5.32673i −0.910799 0.415948i
\(165\) 7.06059 2.07318i 0.549667 0.161397i
\(166\) 4.31686 4.98192i 0.335053 0.386672i
\(167\) 0.726388 2.47385i 0.0562096 0.191432i −0.926602 0.376043i \(-0.877284\pi\)
0.982812 + 0.184611i \(0.0591025\pi\)
\(168\) 2.23212 4.70178i 0.172211 0.362750i
\(169\) 5.15937 + 11.2974i 0.396875 + 0.869034i
\(170\) 0.470288 + 0.542741i 0.0360694 + 0.0416263i
\(171\) −0.0349864 0.0224844i −0.00267548 0.00171943i
\(172\) 16.7460 + 2.40770i 1.27687 + 0.183586i
\(173\) 14.1938 + 2.04076i 1.07914 + 0.155156i 0.658879 0.752249i \(-0.271031\pi\)
0.420257 + 0.907405i \(0.361940\pi\)
\(174\) 1.13049 1.75908i 0.0857023 0.133355i
\(175\) 1.78115 5.74911i 0.134642 0.434592i
\(176\) −5.95777 + 2.72082i −0.449084 + 0.205090i
\(177\) 5.86481 3.76908i 0.440826 0.283302i
\(178\) −2.66712 0.783139i −0.199909 0.0586987i
\(179\) −9.57278 + 11.0476i −0.715503 + 0.825734i −0.990759 0.135637i \(-0.956692\pi\)
0.275256 + 0.961371i \(0.411237\pi\)
\(180\) 4.45233 1.30732i 0.331857 0.0974420i
\(181\) 6.24410 13.6727i 0.464120 1.01628i −0.522409 0.852695i \(-0.674966\pi\)
0.986529 0.163586i \(-0.0523062\pi\)
\(182\) 0.685799 + 0.815595i 0.0508348 + 0.0604559i
\(183\) 10.4396i 0.771720i
\(184\) 2.32084 9.14443i 0.171095 0.674136i
\(185\) 14.6586i 1.07772i
\(186\) 0.472494 + 3.28627i 0.0346449 + 0.240961i
\(187\) −1.24968 0.570710i −0.0913857 0.0417344i
\(188\) −0.168158 0.572692i −0.0122642 0.0417679i
\(189\) 0.415340 2.61295i 0.0302115 0.190064i
\(190\) −0.0569093 0.0167101i −0.00412863 0.00121228i
\(191\) 10.6908 + 16.6352i 0.773557 + 1.20368i 0.974569 + 0.224089i \(0.0719406\pi\)
−0.201012 + 0.979589i \(0.564423\pi\)
\(192\) −1.86456 + 0.851516i −0.134563 + 0.0614529i
\(193\) 7.82709 + 9.03294i 0.563406 + 0.650206i 0.963954 0.266071i \(-0.0857254\pi\)
−0.400547 + 0.916276i \(0.631180\pi\)
\(194\) −0.0943323 0.0606237i −0.00677267 0.00435253i
\(195\) −0.292384 + 2.03357i −0.0209380 + 0.145627i
\(196\) 9.93352 + 6.80859i 0.709537 + 0.486328i
\(197\) −7.62604 4.90096i −0.543333 0.349179i 0.240008 0.970771i \(-0.422850\pi\)
−0.783341 + 0.621592i \(0.786486\pi\)
\(198\) 1.09024 0.944697i 0.0774799 0.0671367i
\(199\) −3.01039 6.59182i −0.213401 0.467282i 0.772414 0.635119i \(-0.219049\pi\)
−0.985815 + 0.167837i \(0.946322\pi\)
\(200\) 3.76469 2.41942i 0.266204 0.171079i
\(201\) 12.4533 + 3.65663i 0.878391 + 0.257919i
\(202\) −6.45733 5.59531i −0.454336 0.393684i
\(203\) 7.80479 + 6.96828i 0.547789 + 0.489077i
\(204\) −0.788034 0.359883i −0.0551734 0.0251969i
\(205\) −19.8982 + 2.86093i −1.38975 + 0.199816i
\(206\) −3.47684 −0.242243
\(207\) −0.177639 4.79254i −0.0123467 0.333105i
\(208\) 1.82861i 0.126792i
\(209\) 0.112310 0.0161477i 0.00776862 0.00111696i
\(210\) −0.481524 3.74242i −0.0332283 0.258251i
\(211\) −17.0012 + 4.99201i −1.17041 + 0.343664i −0.808470 0.588537i \(-0.799704\pi\)
−0.361941 + 0.932201i \(0.617886\pi\)
\(212\) −3.06662 2.65724i −0.210616 0.182500i
\(213\) −0.759066 + 2.58514i −0.0520104 + 0.177131i
\(214\) −0.550549 0.856671i −0.0376348 0.0585608i
\(215\) 24.1267 11.0183i 1.64543 0.751441i
\(216\) 1.48671 1.28824i 0.101158 0.0876536i
\(217\) −16.6108 0.246456i −1.12761 0.0167305i
\(218\) 3.27464 + 0.470822i 0.221787 + 0.0318881i
\(219\) −1.22778 + 8.53937i −0.0829654 + 0.577037i
\(220\) −6.84450 + 10.6502i −0.461456 + 0.718040i
\(221\) 0.289878 0.251181i 0.0194993 0.0168962i
\(222\) −1.19376 2.61398i −0.0801201 0.175439i
\(223\) −6.69005 10.4099i −0.447999 0.697100i 0.541651 0.840604i \(-0.317799\pi\)
−0.989650 + 0.143504i \(0.954163\pi\)
\(224\) 3.68245 + 13.2663i 0.246044 + 0.886389i
\(225\) 1.48971 1.71922i 0.0993143 0.114615i
\(226\) −1.08868 3.70771i −0.0724181 0.246633i
\(227\) −6.59187 + 14.4342i −0.437518 + 0.958030i 0.554529 + 0.832164i \(0.312898\pi\)
−0.992047 + 0.125866i \(0.959829\pi\)
\(228\) 0.0708212 0.0101825i 0.00469025 0.000674356i
\(229\) 19.8868 1.31416 0.657079 0.753822i \(-0.271792\pi\)
0.657079 + 0.753822i \(0.271792\pi\)
\(230\) −2.16870 6.48670i −0.143000 0.427720i
\(231\) 3.81200 + 6.12967i 0.250811 + 0.403302i
\(232\) 1.10713 + 7.70028i 0.0726869 + 0.505548i
\(233\) 3.90516 8.55110i 0.255835 0.560201i −0.737515 0.675331i \(-0.764001\pi\)
0.993351 + 0.115129i \(0.0367283\pi\)
\(234\) 0.113471 + 0.386446i 0.00741782 + 0.0252628i
\(235\) −0.707190 0.612784i −0.0461320 0.0399736i
\(236\) −3.37907 + 11.5081i −0.219959 + 0.749111i
\(237\) −0.345187 + 0.221838i −0.0224223 + 0.0144099i
\(238\) −0.389605 + 0.586907i −0.0252544 + 0.0380436i
\(239\) −7.39539 8.53473i −0.478368 0.552066i 0.464352 0.885651i \(-0.346287\pi\)
−0.942720 + 0.333585i \(0.891742\pi\)
\(240\) −3.50068 + 5.44716i −0.225968 + 0.351613i
\(241\) 3.27761 22.7962i 0.211129 1.46844i −0.558266 0.829662i \(-0.688533\pi\)
0.769395 0.638773i \(-0.220558\pi\)
\(242\) 0.267630 1.86141i 0.0172039 0.119656i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) 11.7616 + 13.5737i 0.752962 + 0.868964i
\(245\) 18.8720 + 0.560137i 1.20569 + 0.0357858i
\(246\) −3.31535 + 2.13064i −0.211379 + 0.135845i
\(247\) −0.00892485 + 0.0303952i −0.000567874 + 0.00193400i
\(248\) −9.33502 8.08884i −0.592774 0.513642i
\(249\) 3.51237 + 11.9620i 0.222587 + 0.758062i
\(250\) −1.61451 + 3.53528i −0.102110 + 0.223591i
\(251\) 3.54996 + 24.6905i 0.224072 + 1.55845i 0.722407 + 0.691468i \(0.243036\pi\)
−0.498336 + 0.866984i \(0.666055\pi\)
\(252\) 2.40381 + 3.86530i 0.151426 + 0.243491i
\(253\) 8.92880 + 9.56431i 0.561349 + 0.601303i
\(254\) 4.44949 0.279186
\(255\) −1.34436 + 0.193290i −0.0841870 + 0.0121043i
\(256\) −0.821090 + 1.79794i −0.0513181 + 0.112371i
\(257\) −8.22374 28.0075i −0.512983 1.74706i −0.653446 0.756973i \(-0.726677\pi\)
0.140463 0.990086i \(-0.455141\pi\)
\(258\) 3.40506 3.92965i 0.211990 0.244649i
\(259\) 13.8551 3.84591i 0.860916 0.238973i
\(260\) −1.91093 2.97347i −0.118511 0.184407i
\(261\) 1.64280 + 3.59723i 0.101687 + 0.222663i
\(262\) −5.06044 + 4.38490i −0.312635 + 0.270900i
\(263\) 14.7498 22.9511i 0.909510 1.41523i −0.000208419 1.00000i \(-0.500066\pi\)
0.909719 0.415225i \(-0.136297\pi\)
\(264\) −0.763810 + 5.31241i −0.0470093 + 0.326957i
\(265\) −6.29677 0.905338i −0.386807 0.0556145i
\(266\) 0.000863137 0.0581742i 5.29223e−5 0.00356689i
\(267\) 3.97304 3.44266i 0.243146 0.210687i
\(268\) −20.3116 + 9.27598i −1.24073 + 0.566621i
\(269\) −4.33828 6.75049i −0.264509 0.411585i 0.683440 0.730007i \(-0.260483\pi\)
−0.947949 + 0.318423i \(0.896847\pi\)
\(270\) 0.401796 1.36839i 0.0244525 0.0832777i
\(271\) 6.38050 + 5.52874i 0.387588 + 0.335847i 0.826759 0.562557i \(-0.190182\pi\)
−0.439171 + 0.898404i \(0.644728\pi\)
\(272\) 1.15990 0.340576i 0.0703290 0.0206505i
\(273\) −1.99882 + 0.257182i −0.120974 + 0.0155654i
\(274\) −1.00985 + 0.145194i −0.0610070 + 0.00877149i
\(275\) 6.20642i 0.374261i
\(276\) 5.63040 + 6.03114i 0.338910 + 0.363032i
\(277\) −21.6609 −1.30148 −0.650739 0.759302i \(-0.725541\pi\)
−0.650739 + 0.759302i \(0.725541\pi\)
\(278\) −10.7346 + 1.54341i −0.643821 + 0.0925675i
\(279\) −5.71157 2.60838i −0.341942 0.156160i
\(280\) 10.4718 + 9.34940i 0.625807 + 0.558734i
\(281\) 16.0910 + 13.9430i 0.959911 + 0.831768i 0.985805 0.167897i \(-0.0536976\pi\)
−0.0258935 + 0.999665i \(0.508243\pi\)
\(282\) −0.176013 0.0516820i −0.0104814 0.00307762i
\(283\) 17.2007 11.0542i 1.02248 0.657105i 0.0818824 0.996642i \(-0.473907\pi\)
0.940593 + 0.339537i \(0.110270\pi\)
\(284\) −1.92557 4.21640i −0.114261 0.250197i
\(285\) 0.0847740 0.0734571i 0.00502158 0.00435122i
\(286\) −0.924403 0.594078i −0.0546611 0.0351286i
\(287\) −7.92474 18.0570i −0.467782 1.06587i
\(288\) −0.740572 + 5.15079i −0.0436387 + 0.303513i
\(289\) −14.0880 9.05381i −0.828706 0.532577i
\(290\) 3.69334 + 4.26234i 0.216881 + 0.250293i
\(291\) 0.192905 0.0880966i 0.0113083 0.00516432i
\(292\) −8.02437 12.4862i −0.469591 0.730698i
\(293\) 2.98957 + 0.877817i 0.174653 + 0.0512826i 0.367890 0.929869i \(-0.380080\pi\)
−0.193237 + 0.981152i \(0.561899\pi\)
\(294\) 3.41096 1.43701i 0.198931 0.0838083i
\(295\) 5.29756 + 18.0418i 0.308436 + 1.05044i
\(296\) 9.72508 + 4.44130i 0.565259 + 0.258145i
\(297\) 0.388273 + 2.70050i 0.0225299 + 0.156699i
\(298\) 2.96889i 0.171983i
\(299\) −3.46454 + 1.15830i −0.200360 + 0.0669864i
\(300\) 3.91370i 0.225958i
\(301\) 16.7444 + 19.9135i 0.965130 + 1.14779i
\(302\) 3.77638 8.26912i 0.217306 0.475834i
\(303\) 15.5046 4.55256i 0.890715 0.261538i
\(304\) −0.0653812 + 0.0754539i −0.00374987 + 0.00432758i
\(305\) 27.0171 + 7.93295i 1.54700 + 0.454239i
\(306\) −0.223990 + 0.143950i −0.0128047 + 0.00822907i
\(307\) −9.12608 + 4.16774i −0.520853 + 0.237866i −0.658452 0.752622i \(-0.728789\pi\)
0.137599 + 0.990488i \(0.456061\pi\)
\(308\) −11.8623 3.67509i −0.675915 0.209407i
\(309\) 3.55498 5.53165i 0.202235 0.314685i
\(310\) −8.86370 1.27441i −0.503424 0.0723815i
\(311\) 26.4381 + 3.80123i 1.49917 + 0.215548i 0.842526 0.538655i \(-0.181067\pi\)
0.656641 + 0.754203i \(0.271977\pi\)
\(312\) −1.26057 0.810117i −0.0713655 0.0458638i
\(313\) −7.77399 8.97166i −0.439412 0.507108i 0.492240 0.870459i \(-0.336178\pi\)
−0.931652 + 0.363351i \(0.881633\pi\)
\(314\) −2.43276 5.32700i −0.137289 0.300620i
\(315\) 6.44654 + 3.06042i 0.363221 + 0.172435i
\(316\) 0.198883 0.677334i 0.0111881 0.0381030i
\(317\) 18.0875 20.8741i 1.01590 1.17241i 0.0309552 0.999521i \(-0.490145\pi\)
0.984942 0.172887i \(-0.0553095\pi\)
\(318\) −1.19659 + 0.351352i −0.0671016 + 0.0197028i
\(319\) −9.81420 4.48199i −0.549490 0.250944i
\(320\) −0.786816 5.47242i −0.0439843 0.305918i
\(321\) 1.92589 0.107493
\(322\) 5.56216 3.75172i 0.309967 0.209075i
\(323\) −0.0209420 −0.00116525
\(324\) 0.244841 + 1.70290i 0.0136023 + 0.0946058i
\(325\) −1.57620 0.719826i −0.0874317 0.0399287i
\(326\) −5.14364 + 1.51031i −0.284880 + 0.0836482i
\(327\) −4.09732 + 4.72855i −0.226582 + 0.261490i
\(328\) 4.13076 14.0681i 0.228083 0.776780i
\(329\) 0.393654 0.829202i 0.0217029 0.0457154i
\(330\) 1.61636 + 3.53933i 0.0889777 + 0.194834i
\(331\) −19.1256 22.0721i −1.05124 1.21319i −0.976394 0.215995i \(-0.930700\pi\)
−0.0748412 0.997195i \(-0.523845\pi\)
\(332\) −18.0436 11.5959i −0.990271 0.636408i
\(333\) 5.37943 + 0.773446i 0.294791 + 0.0423846i
\(334\) 1.34941 + 0.194016i 0.0738366 + 0.0106161i
\(335\) −18.9263 + 29.4499i −1.03405 + 1.60902i
\(336\) −6.06705 1.87965i −0.330985 0.102544i
\(337\) 9.68728 4.42403i 0.527700 0.240992i −0.133706 0.991021i \(-0.542688\pi\)
0.661405 + 0.750029i \(0.269960\pi\)
\(338\) −5.52456 + 3.55042i −0.300496 + 0.193117i
\(339\) 7.01212 + 2.05895i 0.380846 + 0.111827i
\(340\) 1.53017 1.76591i 0.0829853 0.0957701i
\(341\) 16.4368 4.82629i 0.890105 0.261358i
\(342\) 0.00913506 0.0200030i 0.000493967 0.00108164i
\(343\) 4.42194 + 17.9846i 0.238762 + 0.971078i
\(344\) 19.3449i 1.04301i
\(345\) 12.5378 + 3.18207i 0.675012 + 0.171317i
\(346\) 7.58226i 0.407625i
\(347\) −1.85150 12.8775i −0.0993939 0.691300i −0.977206 0.212294i \(-0.931907\pi\)
0.877812 0.479005i \(-0.159003\pi\)
\(348\) −6.18872 2.82630i −0.331750 0.151505i
\(349\) −8.98132 30.5876i −0.480759 1.63732i −0.740806 0.671719i \(-0.765556\pi\)
0.260047 0.965596i \(-0.416262\pi\)
\(350\) 3.14298 + 0.499590i 0.167999 + 0.0267042i
\(351\) −0.730858 0.214599i −0.0390103 0.0114545i
\(352\) −7.67562 11.9435i −0.409112 0.636591i
\(353\) 24.3233 11.1081i 1.29460 0.591224i 0.355438 0.934700i \(-0.384332\pi\)
0.939162 + 0.343476i \(0.111604\pi\)
\(354\) 2.41397 + 2.78587i 0.128301 + 0.148067i
\(355\) −6.11339 3.92883i −0.324465 0.208521i
\(356\) −1.28715 + 8.95232i −0.0682187 + 0.474472i
\(357\) −0.535409 1.21996i −0.0283368 0.0645672i
\(358\) −6.50238 4.17883i −0.343661 0.220858i
\(359\) 14.1638 12.2730i 0.747539 0.647746i −0.195395 0.980725i \(-0.562599\pi\)
0.942935 + 0.332978i \(0.108054\pi\)
\(360\) 2.20416 + 4.82643i 0.116169 + 0.254375i
\(361\) −15.9824 + 10.2712i −0.841177 + 0.540592i
\(362\) 7.62581 + 2.23914i 0.400804 + 0.117687i
\(363\) 2.68786 + 2.32904i 0.141076 + 0.122243i
\(364\) 2.30913 2.58633i 0.121031 0.135560i
\(365\) −21.1664 9.66637i −1.10790 0.505961i
\(366\) 5.46385 0.785583i 0.285600 0.0410631i
\(367\) 4.91850 0.256744 0.128372 0.991726i \(-0.459025\pi\)
0.128372 + 0.991726i \(0.459025\pi\)
\(368\) −11.4489 1.21526i −0.596813 0.0633498i
\(369\) 7.45325i 0.388000i
\(370\) 7.67194 1.10306i 0.398845 0.0573453i
\(371\) −0.796339 6.18916i −0.0413439 0.321325i
\(372\) 10.3649 3.04341i 0.537394 0.157793i
\(373\) −11.3212 9.80988i −0.586190 0.507937i 0.310513 0.950569i \(-0.399499\pi\)
−0.896703 + 0.442633i \(0.854045\pi\)
\(374\) 0.204657 0.696998i 0.0105826 0.0360409i
\(375\) −3.97384 6.18342i −0.205208 0.319310i
\(376\) 0.620812 0.283515i 0.0320159 0.0146212i
\(377\) 2.27652 1.97261i 0.117247 0.101595i
\(378\) 1.39881 + 0.0207543i 0.0719468 + 0.00106748i
\(379\) 12.5623 + 1.80619i 0.645283 + 0.0927777i 0.457184 0.889372i \(-0.348858\pi\)
0.188099 + 0.982150i \(0.439767\pi\)
\(380\) −0.0274643 + 0.191018i −0.00140889 + 0.00979904i
\(381\) −4.54949 + 7.07914i −0.233077 + 0.362675i
\(382\) −7.90195 + 6.84708i −0.404299 + 0.350327i
\(383\) 7.84662 + 17.1817i 0.400944 + 0.877944i 0.997174 + 0.0751306i \(0.0239374\pi\)
−0.596230 + 0.802814i \(0.703335\pi\)
\(384\) −6.21270 9.66715i −0.317041 0.493325i
\(385\) −18.7599 + 5.20737i −0.956093 + 0.265392i
\(386\) −4.13863 + 4.77624i −0.210651 + 0.243104i
\(387\) 2.77049 + 9.43542i 0.140832 + 0.479630i
\(388\) −0.151563 + 0.331876i −0.00769444 + 0.0168485i
\(389\) 31.8747 4.58288i 1.61611 0.232361i 0.725863 0.687840i \(-0.241441\pi\)
0.890247 + 0.455478i \(0.150532\pi\)
\(390\) −1.08632 −0.0550082
\(391\) −1.37998 1.98184i −0.0697886 0.100226i
\(392\) −6.08952 + 12.3508i −0.307567 + 0.623807i
\(393\) −1.80221 12.5346i −0.0909092 0.632288i
\(394\) 1.99118 4.36008i 0.100314 0.219658i
\(395\) −0.311801 1.06190i −0.0156884 0.0534297i
\(396\) −3.54731 3.07376i −0.178259 0.154462i
\(397\) 9.88014 33.6487i 0.495870 1.68878i −0.207733 0.978186i \(-0.566609\pi\)
0.703603 0.710593i \(-0.251573\pi\)
\(398\) 3.22347 2.07160i 0.161578 0.103840i
\(399\) 0.0916727 + 0.0608549i 0.00458937 + 0.00304655i
\(400\) −3.57630 4.12727i −0.178815 0.206364i
\(401\) −14.2342 + 22.1488i −0.710821 + 1.10606i 0.278519 + 0.960431i \(0.410157\pi\)
−0.989339 + 0.145628i \(0.953480\pi\)
\(402\) −0.976677 + 6.79294i −0.0487122 + 0.338801i
\(403\) −0.680661 + 4.73410i −0.0339061 + 0.235822i
\(404\) −15.0301 + 23.3872i −0.747773 + 1.16356i
\(405\) 1.76629 + 2.03840i 0.0877675 + 0.101289i
\(406\) −3.05971 + 4.60920i −0.151851 + 0.228751i
\(407\) −12.4737 + 8.01633i −0.618296 + 0.397355i
\(408\) 0.279081 0.950464i 0.0138166 0.0470550i
\(409\) −11.4268 9.90134i −0.565017 0.489590i 0.324878 0.945756i \(-0.394677\pi\)
−0.889895 + 0.456166i \(0.849222\pi\)
\(410\) −2.99469 10.1990i −0.147897 0.503691i
\(411\) 0.801538 1.75512i 0.0395370 0.0865739i
\(412\) 1.60995 + 11.1974i 0.0793164 + 0.551657i
\(413\) −15.6631 + 9.74076i −0.770728 + 0.479311i
\(414\) 2.49493 0.453610i 0.122619 0.0222937i
\(415\) −33.6260 −1.65063
\(416\) 3.92342 0.564103i 0.192362 0.0276574i
\(417\) 8.52034 18.6569i 0.417243 0.913634i
\(418\) 0.0169026 + 0.0575650i 0.000826733 + 0.00281559i
\(419\) 8.46895 9.77369i 0.413735 0.477476i −0.510183 0.860066i \(-0.670422\pi\)
0.923918 + 0.382590i \(0.124968\pi\)
\(420\) −11.8298 + 3.28371i −0.577234 + 0.160229i
\(421\) 10.5242 + 16.3759i 0.512917 + 0.798115i 0.997040 0.0768852i \(-0.0244975\pi\)
−0.484123 + 0.875000i \(0.660861\pi\)
\(422\) −3.89203 8.52237i −0.189461 0.414862i
\(423\) 0.262195 0.227193i 0.0127483 0.0110465i
\(424\) 2.50845 3.90322i 0.121821 0.189557i
\(425\) 0.163024 1.13385i 0.00790780 0.0550000i
\(426\) −1.41012 0.202745i −0.0683205 0.00982301i
\(427\) −0.409766 + 27.6176i −0.0198300 + 1.33651i
\(428\) −2.50404 + 2.16977i −0.121038 + 0.104880i
\(429\) 1.89036 0.863297i 0.0912673 0.0416804i
\(430\) 7.58223 + 11.7982i 0.365648 + 0.568959i
\(431\) −5.83839 + 19.8837i −0.281225 + 0.957765i 0.690831 + 0.723016i \(0.257245\pi\)
−0.972056 + 0.234749i \(0.924573\pi\)
\(432\) −1.81430 1.57210i −0.0872905 0.0756376i
\(433\) −33.3745 + 9.79963i −1.60388 + 0.470940i −0.956621 0.291334i \(-0.905901\pi\)
−0.647254 + 0.762274i \(0.724083\pi\)
\(434\) −1.12097 8.71223i −0.0538085 0.418200i
\(435\) −10.5577 + 1.51797i −0.506205 + 0.0727813i
\(436\) 10.7643i 0.515514i
\(437\) 0.184372 + 0.0760781i 0.00881969 + 0.00363931i
\(438\) −4.56169 −0.217966
\(439\) −29.8599 + 4.29321i −1.42514 + 0.204904i −0.811347 0.584565i \(-0.801265\pi\)
−0.613790 + 0.789469i \(0.710356\pi\)
\(440\) −13.1678 6.01353i −0.627750 0.286684i
\(441\) −1.20133 + 6.89615i −0.0572060 + 0.328388i
\(442\) 0.153275 + 0.132814i 0.00729055 + 0.00631730i
\(443\) 1.81632 + 0.533321i 0.0862962 + 0.0253388i 0.324596 0.945853i \(-0.394772\pi\)
−0.238299 + 0.971192i \(0.576590\pi\)
\(444\) −7.86575 + 5.05501i −0.373292 + 0.239900i
\(445\) 5.89033 + 12.8980i 0.279228 + 0.611425i
\(446\) 4.94487 4.28475i 0.234146 0.202889i
\(447\) −4.72351 3.03561i −0.223414 0.143580i
\(448\) 4.96604 2.17947i 0.234623 0.102970i
\(449\) 2.74453 19.0886i 0.129522 0.900847i −0.816639 0.577149i \(-0.804165\pi\)
0.946161 0.323697i \(-0.104926\pi\)
\(450\) 1.01190 + 0.650308i 0.0477014 + 0.0306558i
\(451\) 13.3162 + 15.3678i 0.627037 + 0.723640i
\(452\) −11.4369 + 5.22304i −0.537945 + 0.245671i
\(453\) 9.29492 + 14.4632i 0.436714 + 0.679540i
\(454\) −8.05053 2.36385i −0.377830 0.110941i
\(455\) 0.853310 5.36826i 0.0400038 0.251668i
\(456\) 0.0230493 + 0.0784987i 0.00107938 + 0.00367604i
\(457\) −2.88065 1.31555i −0.134751 0.0615388i 0.346898 0.937903i \(-0.387235\pi\)
−0.481650 + 0.876364i \(0.659962\pi\)
\(458\) 1.49648 + 10.4083i 0.0699260 + 0.486346i
\(459\) 0.503554i 0.0235039i
\(460\) −19.8867 + 9.98814i −0.927222 + 0.465699i
\(461\) 37.0377i 1.72502i 0.506042 + 0.862509i \(0.331108\pi\)
−0.506042 + 0.862509i \(0.668892\pi\)
\(462\) −2.92126 + 2.45637i −0.135909 + 0.114280i
\(463\) 8.81360 19.2991i 0.409603 0.896905i −0.586603 0.809875i \(-0.699535\pi\)
0.996206 0.0870304i \(-0.0277377\pi\)
\(464\) 9.10908 2.67467i 0.422879 0.124168i
\(465\) 11.0905 12.7991i 0.514309 0.593544i
\(466\) 4.76930 + 1.40039i 0.220933 + 0.0648719i
\(467\) −12.9449 + 8.31916i −0.599017 + 0.384965i −0.804724 0.593649i \(-0.797687\pi\)
0.205707 + 0.978614i \(0.434051\pi\)
\(468\) 1.19204 0.544386i 0.0551020 0.0251642i
\(469\) −32.8013 10.1623i −1.51462 0.469251i
\(470\) 0.267500 0.416238i 0.0123389 0.0191996i
\(471\) 10.9627 + 1.57620i 0.505134 + 0.0726273i
\(472\) −13.5747 1.95175i −0.624828 0.0898367i
\(473\) −22.5701 14.5049i −1.03778 0.666938i
\(474\) −0.142080 0.163969i −0.00652595 0.00753135i
\(475\) 0.0393015 + 0.0860583i 0.00180328 + 0.00394862i
\(476\) 2.07059 + 0.982988i 0.0949052 + 0.0450552i
\(477\) 0.664485 2.26303i 0.0304247 0.103617i
\(478\) 3.91037 4.51280i 0.178856 0.206411i
\(479\) 0.186140 0.0546556i 0.00850495 0.00249728i −0.277477 0.960732i \(-0.589498\pi\)
0.285982 + 0.958235i \(0.407680\pi\)
\(480\) −12.7672 5.83058i −0.582740 0.266128i
\(481\) −0.589143 4.09758i −0.0268626 0.186834i
\(482\) 12.1776 0.554676
\(483\) 0.281824 + 12.6854i 0.0128234 + 0.577208i
\(484\) −6.11874 −0.278124
\(485\) 0.0814028 + 0.566169i 0.00369631 + 0.0257084i
\(486\) 0.480975 + 0.219654i 0.0218175 + 0.00996370i
\(487\) 6.76326 1.98587i 0.306473 0.0899885i −0.124880 0.992172i \(-0.539855\pi\)
0.431353 + 0.902183i \(0.358036\pi\)
\(488\) −13.4488 + 15.5207i −0.608797 + 0.702589i
\(489\) 2.85634 9.72778i 0.129168 0.439906i
\(490\) 1.12696 + 9.91932i 0.0509109 + 0.448109i
\(491\) −11.4662 25.1075i −0.517464 1.13309i −0.970391 0.241540i \(-0.922347\pi\)
0.452927 0.891548i \(-0.350380\pi\)
\(492\) 8.39707 + 9.69074i 0.378569 + 0.436892i
\(493\) 1.67523 + 1.07661i 0.0754486 + 0.0484879i
\(494\) −0.0165797 0.00238380i −0.000745957 0.000107252i
\(495\) −7.28377 1.04725i −0.327381 0.0470703i
\(496\) −8.14947 + 12.6808i −0.365922 + 0.569385i
\(497\) 2.10955 6.80910i 0.0946262 0.305430i
\(498\) −5.99632 + 2.73843i −0.268702 + 0.122712i
\(499\) 23.6198 15.1796i 1.05737 0.679530i 0.108147 0.994135i \(-0.465508\pi\)
0.949223 + 0.314605i \(0.101872\pi\)
\(500\) 12.1332 + 3.56264i 0.542615 + 0.159326i
\(501\) −1.68842 + 1.94854i −0.0754331 + 0.0870544i
\(502\) −12.6553 + 3.71592i −0.564833 + 0.165850i
\(503\) 2.02728 4.43913i 0.0903921 0.197931i −0.859036 0.511915i \(-0.828936\pi\)
0.949428 + 0.313983i \(0.101664\pi\)
\(504\) −3.98359 + 3.34963i −0.177443 + 0.149205i
\(505\) 43.5844i 1.93948i
\(506\) −4.33383 + 5.39283i −0.192662 + 0.239740i
\(507\) 12.4198i 0.551582i
\(508\) −2.06033 14.3299i −0.0914124 0.635787i
\(509\) −11.0919 5.06552i −0.491642 0.224525i 0.154138 0.988049i \(-0.450740\pi\)
−0.645779 + 0.763524i \(0.723467\pi\)
\(510\) −0.202326 0.689059i −0.00895915 0.0305121i
\(511\) 3.58321 22.5424i 0.158512 0.997216i
\(512\) 21.0490 + 6.18054i 0.930243 + 0.273144i
\(513\) 0.0224844 + 0.0349864i 0.000992711 + 0.00154469i
\(514\) 14.0396 6.41167i 0.619260 0.282807i
\(515\) 11.6142 + 13.4035i 0.511782 + 0.590628i
\(516\) −14.2325 9.14665i −0.626549 0.402659i
\(517\) −0.134705 + 0.936894i −0.00592432 + 0.0412045i
\(518\) 3.05545 + 6.96203i 0.134249 + 0.305894i
\(519\) −12.0634 7.75267i −0.529524 0.340304i
\(520\) 3.05442 2.64667i 0.133945 0.116064i
\(521\) 6.52445 + 14.2866i 0.285842 + 0.625906i 0.997023 0.0771026i \(-0.0245669\pi\)
−0.711182 + 0.703008i \(0.751840\pi\)
\(522\) −1.75908 + 1.13049i −0.0769928 + 0.0494803i
\(523\) 36.6206 + 10.7528i 1.60131 + 0.470187i 0.955910 0.293659i \(-0.0948730\pi\)
0.645399 + 0.763846i \(0.276691\pi\)
\(524\) 16.4651 + 14.2671i 0.719283 + 0.623262i
\(525\) −4.00846 + 4.48966i −0.174944 + 0.195945i
\(526\) 13.1220 + 5.99260i 0.572145 + 0.261290i
\(527\) −3.12963 + 0.449972i −0.136329 + 0.0196011i
\(528\) 6.54965 0.285037
\(529\) 4.94961 + 22.4611i 0.215200 + 0.976570i
\(530\) 3.36370i 0.146110i
\(531\) −6.90055 + 0.992149i −0.299458 + 0.0430556i
\(532\) −0.187754 + 0.0241577i −0.00814018 + 0.00104737i
\(533\) −5.44726 + 1.59946i −0.235947 + 0.0692803i
\(534\) 2.10077 + 1.82033i 0.0909094 + 0.0787735i
\(535\) −1.46346 + 4.98408i −0.0632708 + 0.215480i
\(536\) −13.8039 21.4792i −0.596236 0.927762i
\(537\) 13.2970 6.07255i 0.573809 0.262050i
\(538\) 3.20658 2.77852i 0.138246 0.119791i
\(539\) −9.84391 16.3654i −0.424007 0.704908i
\(540\) −4.59306 0.660383i −0.197654 0.0284184i
\(541\) −1.57899 + 10.9821i −0.0678863 + 0.472159i 0.927313 + 0.374287i \(0.122113\pi\)
−0.995199 + 0.0978719i \(0.968796\pi\)
\(542\) −2.41347 + 3.75544i −0.103667 + 0.161310i
\(543\) −11.3597 + 9.84321i −0.487490 + 0.422412i
\(544\) 1.08854 + 2.38358i 0.0466709 + 0.102195i
\(545\) −9.12371 14.1968i −0.390817 0.608123i
\(546\) −0.285014 1.02678i −0.0121975 0.0439422i
\(547\) 11.2076 12.9342i 0.479202 0.553028i −0.463746 0.885968i \(-0.653495\pi\)
0.942948 + 0.332940i \(0.108041\pi\)
\(548\) 0.935217 + 3.18506i 0.0399505 + 0.136059i
\(549\) −4.33678 + 9.49623i −0.185089 + 0.405289i
\(550\) −3.24829 + 0.467033i −0.138507 + 0.0199144i
\(551\) −0.164465 −0.00700646
\(552\) −5.90985 + 7.35395i −0.251540 + 0.313005i
\(553\) 0.921886 0.573315i 0.0392026 0.0243798i
\(554\) −1.62998 11.3368i −0.0692514 0.481654i
\(555\) −6.08939 + 13.3339i −0.258480 + 0.565993i
\(556\) 9.94134 + 33.8571i 0.421607 + 1.43586i
\(557\) 27.1432 + 23.5197i 1.15009 + 0.996561i 0.999969 + 0.00789362i \(0.00251264\pi\)
0.150124 + 0.988667i \(0.452033\pi\)
\(558\) 0.935369 3.18557i 0.0395973 0.134856i
\(559\) 6.30141 4.04967i 0.266521 0.171283i
\(560\) 9.47471 14.2728i 0.400379 0.603137i
\(561\) 0.899668 + 1.03827i 0.0379840 + 0.0438359i
\(562\) −6.08655 + 9.47086i −0.256746 + 0.399504i
\(563\) 4.20154 29.2223i 0.177074 1.23157i −0.686416 0.727209i \(-0.740817\pi\)
0.863490 0.504366i \(-0.168274\pi\)
\(564\) −0.0849434 + 0.590794i −0.00357676 + 0.0248769i
\(565\) −10.6569 + 16.5824i −0.448337 + 0.697626i
\(566\) 7.07986 + 8.17059i 0.297589 + 0.343435i
\(567\) −1.46326 + 2.20428i −0.0614513 + 0.0925711i
\(568\) 4.45879 2.86549i 0.187087 0.120233i
\(569\) −7.01952 + 23.9063i −0.294273 + 1.00220i 0.671108 + 0.741360i \(0.265819\pi\)
−0.965381 + 0.260843i \(0.915999\pi\)
\(570\) 0.0448249 + 0.0388410i 0.00187751 + 0.00162687i
\(571\) −8.68031 29.5624i −0.363260 1.23715i −0.915109 0.403206i \(-0.867896\pi\)
0.551850 0.833944i \(-0.313922\pi\)
\(572\) −1.48523 + 3.25220i −0.0621006 + 0.135981i
\(573\) −2.81417 19.5730i −0.117564 0.817673i
\(574\) 8.85424 5.50640i 0.369569 0.229833i
\(575\) −5.55430 + 9.39011i −0.231630 + 0.391595i
\(576\) 2.04980 0.0854082
\(577\) −10.6978 + 1.53812i −0.445357 + 0.0640326i −0.361345 0.932432i \(-0.617682\pi\)
−0.0840116 + 0.996465i \(0.526773\pi\)
\(578\) 3.67842 8.05461i 0.153002 0.335028i
\(579\) −3.36735 11.4681i −0.139942 0.476600i
\(580\) 12.0170 13.8684i 0.498979 0.575853i
\(581\) −8.82230 31.7829i −0.366011 1.31858i
\(582\) 0.0606237 + 0.0943323i 0.00251293 + 0.00391020i
\(583\) 2.67312 + 5.85331i 0.110709 + 0.242419i
\(584\) 12.8261 11.1139i 0.530748 0.459896i
\(585\) 1.11074 1.72834i 0.0459234 0.0714582i
\(586\) −0.234463 + 1.63072i −0.00968556 + 0.0673645i
\(587\) −27.5957 3.96767i −1.13900 0.163763i −0.453099 0.891460i \(-0.649682\pi\)
−0.685899 + 0.727697i \(0.740591\pi\)
\(588\) −6.20745 10.3198i −0.255991 0.425583i
\(589\) 0.197351 0.171006i 0.00813172 0.00704618i
\(590\) −9.04401 + 4.13026i −0.372336 + 0.170040i
\(591\) 4.90096 + 7.62604i 0.201598 + 0.313693i
\(592\) 3.67576 12.5185i 0.151073 0.514507i
\(593\) −17.4341 15.1068i −0.715934 0.620360i 0.218775 0.975775i \(-0.429794\pi\)
−0.934709 + 0.355415i \(0.884339\pi\)
\(594\) −1.38416 + 0.406425i −0.0567927 + 0.0166758i
\(595\) 3.56403 0.458572i 0.146111 0.0187996i
\(596\) 9.56154 1.37474i 0.391656 0.0563116i
\(597\) 7.24669i 0.296587i
\(598\) −0.866935 1.72609i −0.0354516 0.0705853i
\(599\) −37.9170 −1.54925 −0.774624 0.632422i \(-0.782061\pi\)
−0.774624 + 0.632422i \(0.782061\pi\)
\(600\) −4.42954 + 0.636872i −0.180835 + 0.0260002i
\(601\) 27.4713 + 12.5457i 1.12058 + 0.511750i 0.887546 0.460719i \(-0.152408\pi\)
0.233031 + 0.972469i \(0.425136\pi\)
\(602\) −9.16220 + 10.2621i −0.373423 + 0.418251i
\(603\) −9.80894 8.49950i −0.399451 0.346126i
\(604\) −28.3800 8.33312i −1.15477 0.339070i
\(605\) −8.06989 + 5.18620i −0.328088 + 0.210849i
\(606\) 3.54942 + 7.77214i 0.144185 + 0.315722i
\(607\) 25.7715 22.3311i 1.04603 0.906391i 0.0503039 0.998734i \(-0.483981\pi\)
0.995727 + 0.0923428i \(0.0294356\pi\)
\(608\) −0.182061 0.117004i −0.00738355 0.00474512i
\(609\) −4.20476 9.58080i −0.170386 0.388234i
\(610\) −2.11887 + 14.7371i −0.0857905 + 0.596686i
\(611\) −0.222313 0.142872i −0.00899381 0.00577997i
\(612\) 0.567320 + 0.654723i 0.0229326 + 0.0264656i
\(613\) −7.81072 + 3.56703i −0.315472 + 0.144071i −0.566858 0.823816i \(-0.691841\pi\)
0.251386 + 0.967887i \(0.419114\pi\)
\(614\) −2.86803 4.46274i −0.115744 0.180102i
\(615\) 19.2885 + 5.66363i 0.777789 + 0.228380i
\(616\) 2.22915 14.0238i 0.0898149 0.565035i
\(617\) −3.44938 11.7475i −0.138867 0.472936i 0.860464 0.509511i \(-0.170174\pi\)
−0.999331 + 0.0365745i \(0.988355\pi\)
\(618\) 3.16264 + 1.44433i 0.127220 + 0.0580995i
\(619\) 2.41698 + 16.8105i 0.0971467 + 0.675670i 0.978957 + 0.204066i \(0.0654157\pi\)
−0.881810 + 0.471604i \(0.843675\pi\)
\(620\) 29.1363i 1.17014i
\(621\) −1.82931 + 4.43324i −0.0734076 + 0.177900i
\(622\) 14.1231i 0.566285i
\(623\) −10.6456 + 8.95147i −0.426509 + 0.358633i
\(624\) −0.759633 + 1.66337i −0.0304097 + 0.0665879i
\(625\) 29.9355 8.78986i 1.19742 0.351594i
\(626\) 4.11055 4.74383i 0.164291 0.189602i
\(627\) −0.108868 0.0319666i −0.00434778 0.00127662i
\(628\) −16.0295 + 10.3016i −0.639648 + 0.411077i
\(629\) 2.48938 1.13686i 0.0992581 0.0453297i
\(630\) −1.11665 + 3.60425i −0.0444883 + 0.143597i
\(631\) 17.8277 27.7405i 0.709711 1.10433i −0.279826 0.960051i \(-0.590277\pi\)
0.989537 0.144281i \(-0.0460868\pi\)
\(632\) 0.798973 + 0.114875i 0.0317815 + 0.00456948i
\(633\) 17.5386 + 2.52167i 0.697097 + 0.100227i
\(634\) 12.2861 + 7.89579i 0.487943 + 0.313582i
\(635\) −14.8633 17.1531i −0.589831 0.680702i
\(636\) 1.68564 + 3.69103i 0.0668399 + 0.146359i
\(637\) 5.29790 0.601909i 0.209911 0.0238485i
\(638\) 1.60725 5.47378i 0.0636315 0.216709i
\(639\) 1.76438 2.03620i 0.0697977 0.0805508i
\(640\) 29.7390 8.73215i 1.17554 0.345168i
\(641\) 15.9478 + 7.28311i 0.629900 + 0.287666i 0.704670 0.709535i \(-0.251095\pi\)
−0.0747703 + 0.997201i \(0.523822\pi\)
\(642\) 0.144923 + 1.00796i 0.00571965 + 0.0397811i
\(643\) 21.4941 0.847645 0.423822 0.905745i \(-0.360688\pi\)
0.423822 + 0.905745i \(0.360688\pi\)
\(644\) −14.6583 16.1762i −0.577617 0.637430i
\(645\) −26.5236 −1.04436
\(646\) −0.00157589 0.0109605i −6.20025e−5 0.000431237i
\(647\) 19.0876 + 8.71703i 0.750412 + 0.342702i 0.753635 0.657293i \(-0.228299\pi\)
−0.00322288 + 0.999995i \(0.501026\pi\)
\(648\) −1.88751 + 0.554223i −0.0741485 + 0.0217720i
\(649\) 12.4556 14.3745i 0.488923 0.564247i
\(650\) 0.258130 0.879110i 0.0101247 0.0344815i
\(651\) 15.0073 + 7.12456i 0.588184 + 0.279234i
\(652\) 7.24582 + 15.8661i 0.283768 + 0.621366i
\(653\) −0.920325 1.06211i −0.0360151 0.0415637i 0.737456 0.675395i \(-0.236027\pi\)
−0.773471 + 0.633831i \(0.781481\pi\)
\(654\) −2.78313 1.78861i −0.108829 0.0699402i
\(655\) 33.8083 + 4.86090i 1.32100 + 0.189931i
\(656\) −17.7106 2.54640i −0.691483 0.0994202i
\(657\) 4.66421 7.25765i 0.181968 0.283148i
\(658\) 0.463606 + 0.143631i 0.0180733 + 0.00559934i
\(659\) 42.2829 19.3100i 1.64711 0.752210i 0.647161 0.762354i \(-0.275956\pi\)
0.999949 + 0.0101439i \(0.00322895\pi\)
\(660\) 10.6502 6.84450i 0.414560 0.266422i
\(661\) 35.5521 + 10.4390i 1.38282 + 0.406032i 0.886749 0.462251i \(-0.152958\pi\)
0.496069 + 0.868283i \(0.334776\pi\)
\(662\) 10.1128 11.6708i 0.393044 0.453597i
\(663\) −0.368026 + 0.108062i −0.0142930 + 0.00419679i
\(664\) 10.1881 22.3088i 0.395375 0.865750i
\(665\) −0.227150 + 0.191000i −0.00880848 + 0.00740668i
\(666\) 2.87366i 0.111352i
\(667\) −10.8375 15.5641i −0.419629 0.602645i
\(668\) 4.43573i 0.171624i
\(669\) 1.76105 + 12.2483i 0.0680860 + 0.473548i
\(670\) −16.8375 7.68945i −0.650491 0.297069i
\(671\) −8.02435 27.3284i −0.309777 1.05500i
\(672\) 2.16133 13.5972i 0.0833751 0.524522i
\(673\) 19.1476 + 5.62224i 0.738086 + 0.216722i 0.629103 0.777322i \(-0.283422\pi\)
0.108983 + 0.994044i \(0.465241\pi\)
\(674\) 3.04440 + 4.73717i 0.117266 + 0.182469i
\(675\) −2.06928 + 0.945010i −0.0796467 + 0.0363734i
\(676\) 13.9925 + 16.1483i 0.538175 + 0.621087i
\(677\) −13.5826 8.72899i −0.522020 0.335482i 0.252950 0.967479i \(-0.418599\pi\)
−0.774971 + 0.631997i \(0.782235\pi\)
\(678\) −0.549939 + 3.82491i −0.0211203 + 0.146895i
\(679\) −0.513780 + 0.225484i −0.0197171 + 0.00865330i
\(680\) 2.24767 + 1.44449i 0.0861943 + 0.0553937i
\(681\) 11.9924 10.3914i 0.459548 0.398201i
\(682\) 3.76284 + 8.23946i 0.144086 + 0.315505i
\(683\) −38.4288 + 24.6967i −1.47044 + 0.944992i −0.472463 + 0.881351i \(0.656635\pi\)
−0.997973 + 0.0636412i \(0.979729\pi\)
\(684\) −0.0686512 0.0201578i −0.00262494 0.000770753i
\(685\) 3.93307 + 3.40803i 0.150275 + 0.130214i
\(686\) −9.07995 + 3.66768i −0.346674 + 0.140033i
\(687\) −18.0897 8.26128i −0.690164 0.315187i
\(688\) 23.3672 3.35970i 0.890868 0.128087i
\(689\) −1.79655 −0.0684431
\(690\) −0.721950 + 6.80142i −0.0274842 + 0.258926i
\(691\) 6.78201i 0.258000i −0.991645 0.129000i \(-0.958823\pi\)
0.991645 0.129000i \(-0.0411767\pi\)
\(692\) 24.4193 3.51096i 0.928281 0.133467i
\(693\) −0.921164 7.15930i −0.0349921 0.271959i
\(694\) 6.60043 1.93806i 0.250549 0.0735678i
\(695\) 41.8085 + 36.2273i 1.58589 + 1.37418i
\(696\) 2.19173 7.46434i 0.0830773 0.282935i
\(697\) −2.02909 3.15732i −0.0768571 0.119592i
\(698\) 15.3329 7.00232i 0.580360 0.265042i
\(699\) −7.10451 + 6.15609i −0.268717 + 0.232845i
\(700\) 0.153617 10.3535i 0.00580616 0.391327i
\(701\) −10.5598 1.51828i −0.398840 0.0573445i −0.0600232 0.998197i \(-0.519117\pi\)
−0.338816 + 0.940853i \(0.610027\pi\)
\(702\) 0.0573189 0.398661i 0.00216336 0.0150465i
\(703\) −0.122197 + 0.190143i −0.00460875 + 0.00717136i
\(704\) −4.22645 + 3.66224i −0.159290 + 0.138026i
\(705\) 0.388723 + 0.851185i 0.0146402 + 0.0320575i
\(706\) 7.64403 + 11.8943i 0.287687 + 0.447650i
\(707\) −41.1955 + 11.4350i −1.54931 + 0.430059i
\(708\) 7.85433 9.06438i 0.295184 0.340660i
\(709\) −7.82053 26.6343i −0.293706 1.00027i −0.965688 0.259704i \(-0.916375\pi\)
0.671982 0.740568i \(-0.265443\pi\)
\(710\) 1.59622 3.49524i 0.0599052 0.131174i
\(711\) 0.406148 0.0583953i 0.0152317 0.00218999i
\(712\) −10.3417 −0.387573
\(713\) 29.1876 + 7.40777i 1.09308 + 0.277423i
\(714\) 0.598208 0.372022i 0.0223874 0.0139226i
\(715\) 0.797702 + 5.54814i 0.0298324 + 0.207489i
\(716\) −10.4473 + 22.8764i −0.390434 + 0.854932i
\(717\) 3.18163 + 10.8356i 0.118820 + 0.404664i
\(718\) 7.48924 + 6.48946i 0.279496 + 0.242185i
\(719\) 0.499350 1.70063i 0.0186226 0.0634228i −0.949657 0.313290i \(-0.898569\pi\)
0.968280 + 0.249867i \(0.0803870\pi\)
\(720\) 5.44716 3.50068i 0.203004 0.130463i
\(721\) −9.62167 + 14.4942i −0.358330 + 0.539793i
\(722\) −6.57839 7.59186i −0.244822 0.282540i
\(723\) −12.4513 + 19.3746i −0.463070 + 0.720550i
\(724\) 3.68020 25.5963i 0.136773 0.951280i
\(725\) 1.28028 8.90457i 0.0475485 0.330707i
\(726\) −1.01670 + 1.58202i −0.0377334 + 0.0587143i
\(727\) 2.70173 + 3.11796i 0.100202 + 0.115639i 0.803635 0.595122i \(-0.202896\pi\)
−0.703434 + 0.710761i \(0.748351\pi\)
\(728\) 3.30298 + 2.19261i 0.122417 + 0.0812636i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 3.46637 11.8054i 0.128296 0.436936i
\(731\) 3.74234 + 3.24276i 0.138416 + 0.119938i
\(732\) −5.06006 17.2330i −0.187025 0.636950i
\(733\) −17.2038 + 37.6711i −0.635438 + 1.39141i 0.268303 + 0.963335i \(0.413537\pi\)
−0.903741 + 0.428080i \(0.859190\pi\)
\(734\) 0.370117 + 2.57422i 0.0136613 + 0.0950163i
\(735\) −16.9339 8.34925i −0.624617 0.307967i
\(736\) −0.924389 24.9392i −0.0340734 0.919273i
\(737\) 35.4105 1.30436
\(738\) 3.90085 0.560857i 0.143592 0.0206454i
\(739\) 3.27295 7.16676i 0.120397 0.263633i −0.839832 0.542847i \(-0.817346\pi\)
0.960229 + 0.279213i \(0.0900737\pi\)
\(740\) −7.10497 24.1973i −0.261184 0.889511i
\(741\) 0.0207450 0.0239410i 0.000762085 0.000879493i
\(742\) 3.17933 0.882519i 0.116717 0.0323983i
\(743\) −9.26924 14.4232i −0.340056 0.529137i 0.628540 0.777777i \(-0.283653\pi\)
−0.968596 + 0.248640i \(0.920016\pi\)
\(744\) 5.13121 + 11.2358i 0.188119 + 0.411923i
\(745\) 11.4453 9.91743i 0.419324 0.363346i
\(746\) 4.28233 6.66344i 0.156787 0.243966i
\(747\) 1.77424 12.3401i 0.0649161 0.451502i
\(748\) −2.33950 0.336370i −0.0855407 0.0122989i
\(749\) −5.09486 0.0755930i −0.186162 0.00276211i
\(750\) 2.93722 2.54511i 0.107252 0.0929343i
\(751\) −36.3781 + 16.6133i −1.32746 + 0.606229i −0.947790 0.318895i \(-0.896688\pi\)
−0.379666 + 0.925124i \(0.623961\pi\)
\(752\) −0.450283 0.700655i −0.0164201 0.0255502i
\(753\) 7.02765 23.9340i 0.256102 0.872203i
\(754\) 1.20372 + 1.04303i 0.0438371 + 0.0379850i
\(755\) −44.4929 + 13.0643i −1.61926 + 0.475459i
\(756\) −0.580876 4.51458i −0.0211262 0.164194i
\(757\) 27.1553 3.90435i 0.986977 0.141906i 0.370123 0.928983i \(-0.379316\pi\)
0.616855 + 0.787077i \(0.288407\pi\)
\(758\) 6.71072i 0.243744i
\(759\) −4.14876 12.4092i −0.150591 0.450424i
\(760\) −0.220665 −0.00800435
\(761\) 26.1465 3.75930i 0.947811 0.136275i 0.348962 0.937137i \(-0.386534\pi\)
0.598849 + 0.800862i \(0.295625\pi\)
\(762\) −4.04740 1.84838i −0.146622 0.0669599i
\(763\) 11.0249 12.3484i 0.399128 0.447041i
\(764\) 25.7105 + 22.2783i 0.930175 + 0.806001i
\(765\) 1.30317 + 0.382644i 0.0471161 + 0.0138345i
\(766\) −8.40202 + 5.39965i −0.303577 + 0.195097i
\(767\) 2.20597 + 4.83040i 0.0796530 + 0.174416i
\(768\) 1.49378 1.29437i 0.0539021 0.0467065i
\(769\) −33.6695 21.6381i −1.21415 0.780289i −0.232805 0.972524i \(-0.574790\pi\)
−0.981349 + 0.192234i \(0.938427\pi\)
\(770\) −4.13709 9.42661i −0.149090 0.339712i
\(771\) −4.15415 + 28.8928i −0.149608 + 1.04055i
\(772\) 17.2986 + 11.1172i 0.622591 + 0.400115i
\(773\) 11.3933 + 13.1486i 0.409789 + 0.472921i 0.922699 0.385521i \(-0.125978\pi\)
−0.512911 + 0.858442i \(0.671433\pi\)
\(774\) −4.72979 + 2.16002i −0.170009 + 0.0776404i
\(775\) 7.72240 + 12.0163i 0.277397 + 0.431638i
\(776\) −0.400283 0.117534i −0.0143693 0.00421921i
\(777\) −14.2007 2.25727i −0.509448 0.0809790i
\(778\) 4.79714 + 16.3375i 0.171986 + 0.585730i
\(779\) 0.281958 + 0.128766i 0.0101022 + 0.00461351i
\(780\) 0.503022 + 3.49859i 0.0180111 + 0.125270i
\(781\) 7.35072i 0.263029i
\(782\) 0.933402 0.871381i 0.0333784 0.0311605i
\(783\) 3.95459i 0.141326i
\(784\) 15.9764 + 5.21069i 0.570585 + 0.186096i
\(785\) −12.4095 + 27.1730i −0.442915 + 0.969848i
\(786\) 6.42469 1.88646i 0.229161 0.0672878i
\(787\) 29.6870 34.2607i 1.05823 1.22126i 0.0838191 0.996481i \(-0.473288\pi\)
0.974410 0.224780i \(-0.0721663\pi\)
\(788\) −14.9640 4.39382i −0.533070 0.156523i
\(789\) −22.9511 + 14.7498i −0.817081 + 0.525106i
\(790\) 0.532307 0.243096i 0.0189386 0.00864898i
\(791\) −18.4695 5.72209i −0.656699 0.203454i
\(792\) 2.90164 4.51504i 0.103105 0.160435i
\(793\) 7.87106 + 1.13169i 0.279510 + 0.0401874i
\(794\) 18.3544 + 2.63896i 0.651372 + 0.0936532i
\(795\) 5.35165 + 3.43930i 0.189803 + 0.121979i
\(796\) −8.16436 9.42218i −0.289378 0.333960i
\(797\) 11.4975 + 25.1761i 0.407264 + 0.891783i 0.996482 + 0.0838092i \(0.0267086\pi\)
−0.589218 + 0.807974i \(0.700564\pi\)
\(798\) −0.0249516 + 0.0525586i −0.000883276 + 0.00186055i
\(799\) 0.0492186 0.167623i 0.00174123 0.00593008i
\(800\) 7.75212 8.94642i 0.274079 0.316304i
\(801\) −5.04414 + 1.48109i −0.178226 + 0.0523318i
\(802\) −12.6633 5.78312i −0.447155 0.204209i
\(803\) 3.34970 + 23.2977i 0.118208 + 0.822158i
\(804\) 22.3294 0.787498
\(805\) −33.0433 8.91017i −1.16462 0.314042i
\(806\) −2.52893 −0.0890778
\(807\) 1.14198 + 7.94264i 0.0401996 + 0.279594i
\(808\) −28.9156 13.2053i −1.01725 0.464561i
\(809\) 6.60976 1.94080i 0.232387 0.0682349i −0.163466 0.986549i \(-0.552267\pi\)
0.395853 + 0.918314i \(0.370449\pi\)
\(810\) −0.933937 + 1.07782i −0.0328152 + 0.0378708i
\(811\) −3.03220 + 10.3267i −0.106475 + 0.362620i −0.995444 0.0953469i \(-0.969604\pi\)
0.888969 + 0.457967i \(0.151422\pi\)
\(812\) 16.2611 + 7.71976i 0.570652 + 0.270911i
\(813\) −3.50719 7.67967i −0.123002 0.269338i
\(814\) −5.13419 5.92518i −0.179953 0.207677i
\(815\) 23.0044 + 14.7840i 0.805810 + 0.517862i
\(816\) −1.19656 0.172039i −0.0418879 0.00602257i
\(817\) −0.404808 0.0582026i −0.0141624 0.00203625i
\(818\) 4.32225 6.72556i 0.151124 0.235154i
\(819\) 1.92503 + 0.596400i 0.0672660 + 0.0208399i
\(820\) −31.4599 + 14.3672i −1.09863 + 0.501726i
\(821\) −8.42349 + 5.41345i −0.293982 + 0.188931i −0.679315 0.733847i \(-0.737723\pi\)
0.385333 + 0.922778i \(0.374087\pi\)
\(822\) 0.978904 + 0.287432i 0.0341432 + 0.0100253i
\(823\) −6.62982 + 7.65122i −0.231101 + 0.266705i −0.859442 0.511233i \(-0.829189\pi\)
0.628341 + 0.777938i \(0.283734\pi\)
\(824\) −12.4113 + 3.64429i −0.432368 + 0.126955i
\(825\) 2.57824 5.64556i 0.0897628 0.196553i
\(826\) −6.27672 7.46466i −0.218395 0.259729i
\(827\) 30.0945i 1.04649i −0.852182 0.523245i \(-0.824721\pi\)
0.852182 0.523245i \(-0.175279\pi\)
\(828\) −2.61616 7.82507i −0.0909180 0.271940i
\(829\) 18.0468i 0.626792i 0.949622 + 0.313396i \(0.101467\pi\)
−0.949622 + 0.313396i \(0.898533\pi\)
\(830\) −2.53036 17.5990i −0.0878299 0.610871i
\(831\) 19.7035 + 8.99827i 0.683505 + 0.312146i
\(832\) −0.439884 1.49811i −0.0152502 0.0519376i
\(833\) 1.36852 + 3.24837i 0.0474163 + 0.112549i
\(834\) 10.4057 + 3.05540i 0.360321 + 0.105800i
\(835\) −3.75970 5.85020i −0.130110 0.202455i
\(836\) 0.177566 0.0810915i 0.00614124 0.00280461i
\(837\) 4.11186 + 4.74534i 0.142127 + 0.164023i
\(838\) 5.75260 + 3.69697i 0.198720 + 0.127710i
\(839\) 3.09155 21.5022i 0.106732 0.742338i −0.864229 0.503099i \(-0.832193\pi\)
0.970961 0.239239i \(-0.0768979\pi\)
\(840\) −5.64156 12.8546i −0.194652 0.443527i
\(841\) −11.2401 7.22360i −0.387591 0.249090i
\(842\) −7.77882 + 6.74039i −0.268076 + 0.232289i
\(843\) −8.84481 19.3674i −0.304631 0.667050i
\(844\) −25.6447 + 16.4809i −0.882728 + 0.567295i
\(845\) 32.1417 + 9.43765i 1.10571 + 0.324665i
\(846\) 0.138637 + 0.120130i 0.00476645 + 0.00413016i
\(847\) −7.01921 6.26689i −0.241183 0.215333i
\(848\) −5.15045 2.35213i −0.176867 0.0807725i
\(849\) −20.2384 + 2.90984i −0.694580 + 0.0998655i
\(850\) 0.605699 0.0207753
\(851\) −26.0463 + 0.965421i −0.892854 + 0.0330942i
\(852\) 4.63528i 0.158802i
\(853\) 20.2630 2.91339i 0.693793 0.0997524i 0.213608 0.976919i \(-0.431478\pi\)
0.480185 + 0.877167i \(0.340569\pi\)
\(854\) −14.4852 + 1.86377i −0.495674 + 0.0637768i
\(855\) −0.107628 + 0.0316025i −0.00368081 + 0.00108078i
\(856\) −2.86323 2.48100i −0.0978632 0.0847990i
\(857\) 1.84328 6.27765i 0.0629654 0.214440i −0.922001 0.387188i \(-0.873446\pi\)
0.984966 + 0.172748i \(0.0552645\pi\)
\(858\) 0.594078 + 0.924403i 0.0202815 + 0.0315586i
\(859\) −9.97149 + 4.55383i −0.340223 + 0.155375i −0.578198 0.815897i \(-0.696244\pi\)
0.237975 + 0.971271i \(0.423516\pi\)
\(860\) 34.4860 29.8823i 1.17596 1.01898i
\(861\) −0.292547 + 19.7173i −0.00996999 + 0.671963i
\(862\) −10.8460 1.55942i −0.369416 0.0531140i
\(863\) −3.67490 + 25.5595i −0.125095 + 0.870055i 0.826552 + 0.562861i \(0.190299\pi\)
−0.951647 + 0.307194i \(0.900610\pi\)
\(864\) 2.81337 4.37768i 0.0957127 0.148932i
\(865\) 29.2302 25.3281i 0.993858 0.861183i
\(866\) −7.64032 16.7300i −0.259629 0.568507i
\(867\) 9.05381 + 14.0880i 0.307483 + 0.478453i
\(868\) −27.5394 + 7.64438i −0.934747 + 0.259467i
\(869\) −0.733101 + 0.846044i −0.0248687 + 0.0287001i
\(870\) −1.58894 5.41143i −0.0538701 0.183465i
\(871\) −4.10693 + 8.99292i −0.139158 + 0.304714i
\(872\) 12.1830 1.75165i 0.412569 0.0593185i
\(873\) −0.212069 −0.00717745
\(874\) −0.0259434 + 0.102220i −0.000877549 + 0.00345766i
\(875\) 10.2699 + 16.5140i 0.347187 + 0.558274i
\(876\) 2.11229 + 14.6913i 0.0713675 + 0.496372i
\(877\) −6.14679 + 13.4596i −0.207562 + 0.454498i −0.984570 0.174993i \(-0.944010\pi\)
0.777007 + 0.629492i \(0.216737\pi\)
\(878\) −4.49392 15.3049i −0.151662 0.516515i
\(879\) −2.35475 2.04040i −0.0794237 0.0688211i
\(880\) −4.97700 + 16.9501i −0.167775 + 0.571388i
\(881\) 36.5695 23.5018i 1.23206 0.791795i 0.247847 0.968799i \(-0.420277\pi\)
0.984210 + 0.177004i \(0.0566406\pi\)
\(882\) −3.69967 0.109809i −0.124574 0.00369746i
\(883\) 29.6690 + 34.2399i 0.998441 + 1.15226i 0.988332 + 0.152314i \(0.0486724\pi\)
0.0101092 + 0.999949i \(0.496782\pi\)
\(884\) 0.356763 0.555133i 0.0119992 0.0186712i
\(885\) 2.67602 18.6121i 0.0899534 0.625640i
\(886\) −0.142449 + 0.990752i −0.00478565 + 0.0332850i
\(887\) 11.3129 17.6032i 0.379850 0.591059i −0.597710 0.801712i \(-0.703923\pi\)
0.977561 + 0.210653i \(0.0675591\pi\)
\(888\) −7.00126 8.07989i −0.234947 0.271143i
\(889\) 12.3133 18.5490i 0.412976 0.622114i
\(890\) −6.30726 + 4.05343i −0.211420 + 0.135871i
\(891\) 0.768642 2.61776i 0.0257505 0.0876981i
\(892\) −16.0891 13.9413i −0.538703 0.466789i
\(893\) 0.00406496 + 0.0138440i 0.000136029 + 0.000463271i
\(894\) 1.23332 2.70060i 0.0412484 0.0903215i
\(895\) 5.61114 + 39.0264i 0.187560 + 1.30451i
\(896\) 16.0560 + 25.8179i 0.536394 + 0.862516i
\(897\) 3.63264 + 0.385593i 0.121290 + 0.0128746i
\(898\) 10.1970 0.340279
\(899\) −24.5781 + 3.53380i −0.819725 + 0.117859i
\(900\) 1.62581 3.56003i 0.0541937 0.118668i
\(901\) −0.334604 1.13956i −0.0111473 0.0379642i
\(902\) −7.04106 + 8.12582i −0.234442 + 0.270560i
\(903\) −6.95887 25.0698i −0.231577 0.834270i
\(904\) −7.77257 12.0944i −0.258512 0.402252i
\(905\) −16.8415 36.8778i −0.559832 1.22586i
\(906\) −6.87023 + 5.95309i −0.228248 + 0.197778i
\(907\) 27.8800 43.3822i 0.925741 1.44048i 0.0281736 0.999603i \(-0.491031\pi\)
0.897567 0.440878i \(-0.145333\pi\)
\(908\) −3.88517 + 27.0219i −0.128934 + 0.896755i
\(909\) −15.9947 2.29969i −0.530510 0.0762758i
\(910\) 2.87383 + 0.0426393i 0.0952665 + 0.00141348i
\(911\) −41.6813 + 36.1171i −1.38096 + 1.19661i −0.424262 + 0.905539i \(0.639467\pi\)
−0.956701 + 0.291072i \(0.905988\pi\)
\(912\) 0.0908175 0.0414750i 0.00300727 0.00137337i
\(913\) 18.3890 + 28.6139i 0.608588 + 0.946981i
\(914\) 0.471757 1.60666i 0.0156043 0.0531435i
\(915\) −21.2802 18.4394i −0.703502 0.609588i
\(916\) 32.8277 9.63908i 1.08466 0.318484i
\(917\) 4.27567 + 33.2306i 0.141195 + 1.09737i
\(918\) 0.263548 0.0378924i 0.00869837 0.00125064i
\(919\) 28.7670i 0.948936i −0.880273 0.474468i \(-0.842640\pi\)
0.880273 0.474468i \(-0.157360\pi\)
\(920\) −14.5408 20.8825i −0.479395 0.688476i
\(921\) 10.0327 0.330589
\(922\) −19.3846 + 2.78709i −0.638399 + 0.0917879i
\(923\) −1.86681 0.852542i −0.0614467 0.0280618i
\(924\) 9.26361 + 8.27074i 0.304750 + 0.272087i
\(925\) −9.34354 8.09623i −0.307214 0.266202i
\(926\) 10.7639 + 3.16057i 0.353724 + 0.103863i
\(927\) −5.53165 + 3.55498i −0.181683 + 0.116761i
\(928\) 8.54873 + 18.7191i 0.280626 + 0.614485i
\(929\) −15.3987 + 13.3430i −0.505213 + 0.437770i −0.869804 0.493398i \(-0.835755\pi\)
0.364590 + 0.931168i \(0.381209\pi\)
\(930\) 7.53329 + 4.84135i 0.247026 + 0.158754i
\(931\) −0.240128 0.164587i −0.00786987 0.00539413i
\(932\) 2.30165 16.0083i 0.0753931 0.524371i
\(933\) −22.4699 14.4405i −0.735630 0.472761i
\(934\) −5.32815 6.14901i −0.174342 0.201202i
\(935\) −3.37063 + 1.53932i −0.110231 + 0.0503410i
\(936\) 0.810117 + 1.26057i 0.0264795 + 0.0412029i
\(937\) 28.9740 + 8.50754i 0.946540 + 0.277929i 0.718346 0.695686i \(-0.244900\pi\)
0.228194 + 0.973616i \(0.426718\pi\)
\(938\) 2.85039 17.9321i 0.0930685 0.585504i
\(939\) 3.34451 + 11.3903i 0.109144 + 0.371710i
\(940\) −1.46439 0.668766i −0.0477632 0.0218127i
\(941\) 1.90797 + 13.2703i 0.0621982 + 0.432598i 0.996998 + 0.0774237i \(0.0246694\pi\)
−0.934800 + 0.355174i \(0.884421\pi\)
\(942\) 5.85621i 0.190806i
\(943\) 6.39399 + 35.1680i 0.208217 + 1.14523i
\(944\) 16.7362i 0.544718i
\(945\) −4.59263 5.46184i −0.149398 0.177674i
\(946\) 5.89312 12.9041i 0.191602 0.419550i
\(947\) −10.9240 + 3.20758i −0.354983 + 0.104232i −0.454362 0.890817i \(-0.650133\pi\)
0.0993790 + 0.995050i \(0.468314\pi\)
\(948\) −0.462285 + 0.533506i −0.0150143 + 0.0173275i
\(949\) −6.30524 1.85139i −0.204677 0.0600985i
\(950\) −0.0420833 + 0.0270453i −0.00136536 + 0.000877466i
\(951\) −25.1244 + 11.4739i −0.814715 + 0.372068i
\(952\) −0.775605 + 2.50346i −0.0251375 + 0.0811376i
\(953\) 0.218039 0.339275i 0.00706297 0.0109902i −0.837704 0.546124i \(-0.816103\pi\)
0.844767 + 0.535134i \(0.179739\pi\)
\(954\) 1.23442 + 0.177482i 0.0399657 + 0.00574620i
\(955\) 52.7921 + 7.59036i 1.70831 + 0.245618i
\(956\) −16.3445 10.5040i −0.528620 0.339723i
\(957\) 7.06542 + 8.15393i 0.228393 + 0.263579i
\(958\) 0.0426124 + 0.0933082i 0.00137675 + 0.00301465i
\(959\) −2.18933 + 4.61165i −0.0706971 + 0.148918i
\(960\) −1.55761 + 5.30475i −0.0502718 + 0.171210i
\(961\) 5.51763 6.36768i 0.177988 0.205409i
\(962\) 2.10024 0.616686i 0.0677144 0.0198828i
\(963\) −1.75185 0.800042i −0.0564525 0.0257810i
\(964\) −5.63884 39.2190i −0.181615 1.26316i
\(965\) 32.2377 1.03777
\(966\) −6.61804 + 1.10208i −0.212932 + 0.0354588i
\(967\) −4.23836 −0.136296 −0.0681482 0.997675i \(-0.521709\pi\)
−0.0681482 + 0.997675i \(0.521709\pi\)
\(968\) −0.995696 6.92521i −0.0320029 0.222585i
\(969\) 0.0190495 + 0.00869963i 0.000611959 + 0.000279473i
\(970\) −0.290193 + 0.0852085i −0.00931755 + 0.00273588i
\(971\) −18.3051 + 21.1252i −0.587438 + 0.677940i −0.969187 0.246326i \(-0.920777\pi\)
0.381749 + 0.924266i \(0.375322\pi\)
\(972\) 0.484697 1.65073i 0.0155467 0.0529471i
\(973\) −23.2725 + 49.0217i −0.746082 + 1.57156i
\(974\) 1.54829 + 3.39029i 0.0496105 + 0.108632i
\(975\) 1.13473 + 1.30955i 0.0363406 + 0.0419393i
\(976\) 21.0835 + 13.5496i 0.674867 + 0.433711i
\(977\) 25.4079 + 3.65310i 0.812870 + 0.116873i 0.536199 0.844092i \(-0.319860\pi\)
0.276671 + 0.960965i \(0.410769\pi\)
\(978\) 5.30622 + 0.762919i 0.169674 + 0.0243955i
\(979\) 7.75428 12.0659i 0.247828 0.385627i
\(980\) 31.4241 8.22259i 1.00381 0.262661i
\(981\) 5.69136 2.59916i 0.181711 0.0829847i
\(982\) 12.2778 7.89049i 0.391801 0.251796i
\(983\) 14.0214 + 4.11705i 0.447213 + 0.131313i 0.497582 0.867417i \(-0.334222\pi\)
−0.0503690 + 0.998731i \(0.516040\pi\)
\(984\) −9.60157 + 11.0808i −0.306087 + 0.353243i
\(985\) −23.4599 + 6.88845i −0.747495 + 0.219484i
\(986\) −0.437408 + 0.957790i −0.0139299 + 0.0305022i
\(987\) −0.702543 + 0.590739i −0.0223622 + 0.0188034i
\(988\) 0.0545001i 0.00173388i
\(989\) −21.1670 42.1441i −0.673070 1.34010i
\(990\) 3.89095i 0.123663i
\(991\) −1.55705 10.8295i −0.0494612 0.344010i −0.999492 0.0318556i \(-0.989858\pi\)
0.950031 0.312155i \(-0.101051\pi\)
\(992\) −29.7216 13.5734i −0.943663 0.430956i
\(993\) 8.22815 + 28.0225i 0.261112 + 0.889267i
\(994\) 3.72246 + 0.591701i 0.118069 + 0.0187676i
\(995\) −18.7540 5.50667i −0.594542 0.174573i
\(996\) 11.5959 + 18.0436i 0.367431 + 0.571733i
\(997\) −33.8092 + 15.4402i −1.07075 + 0.488994i −0.871218 0.490897i \(-0.836669\pi\)
−0.199531 + 0.979892i \(0.563942\pi\)
\(998\) 9.72200 + 11.2198i 0.307744 + 0.355156i
\(999\) −4.57200 2.93825i −0.144652 0.0929621i
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 483.2.r.a.181.19 320
7.6 odd 2 inner 483.2.r.a.181.20 yes 320
23.15 odd 22 inner 483.2.r.a.475.20 yes 320
161.153 even 22 inner 483.2.r.a.475.19 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.r.a.181.19 320 1.1 even 1 trivial
483.2.r.a.181.20 yes 320 7.6 odd 2 inner
483.2.r.a.475.19 yes 320 161.153 even 22 inner
483.2.r.a.475.20 yes 320 23.15 odd 22 inner