Properties

Label 322.2.o.b.171.6
Level $322$
Weight $2$
Character 322.171
Analytic conductor $2.571$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [322,2,Mod(5,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([55, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.o (of order \(66\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 171.6
Character \(\chi\) \(=\) 322.171
Dual form 322.2.o.b.145.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.327068 + 0.945001i) q^{2} +(0.451935 + 0.876631i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.24145 - 0.214033i) q^{5} +(-0.976231 + 0.140361i) q^{6} +(0.164542 - 2.64063i) q^{7} +(0.841254 - 0.540641i) q^{8} +(1.17593 - 1.65137i) q^{9} +O(q^{10})\) \(q+(-0.327068 + 0.945001i) q^{2} +(0.451935 + 0.876631i) q^{3} +(-0.786053 - 0.618159i) q^{4} +(2.24145 - 0.214033i) q^{5} +(-0.976231 + 0.140361i) q^{6} +(0.164542 - 2.64063i) q^{7} +(0.841254 - 0.540641i) q^{8} +(1.17593 - 1.65137i) q^{9} +(-0.530846 + 2.18818i) q^{10} +(3.58719 - 1.24154i) q^{11} +(0.186653 - 0.968446i) q^{12} +(0.694408 + 2.36494i) q^{13} +(2.44158 + 1.01916i) q^{14} +(1.20062 + 1.86820i) q^{15} +(0.235759 + 0.971812i) q^{16} +(-1.51275 - 0.605613i) q^{17} +(1.17593 + 1.65137i) q^{18} +(-3.39197 + 1.35794i) q^{19} +(-1.89421 - 1.21733i) q^{20} +(2.38922 - 1.04915i) q^{21} +3.79597i q^{22} +(-4.41484 + 1.87329i) q^{23} +(0.854134 + 0.493135i) q^{24} +(0.0686608 - 0.0132333i) q^{25} +(-2.46199 - 0.117279i) q^{26} +(4.90778 + 0.705632i) q^{27} +(-1.76167 + 1.97396i) q^{28} +(0.134745 + 0.937170i) q^{29} +(-2.15813 + 0.523558i) q^{30} +(-2.63218 + 0.125386i) q^{31} +(-0.995472 - 0.0950560i) q^{32} +(2.70955 + 2.58355i) q^{33} +(1.06708 - 1.23147i) q^{34} +(-0.196369 - 5.95407i) q^{35} +(-1.94515 + 0.571149i) q^{36} +(7.04499 + 5.01672i) q^{37} +(-0.173849 - 3.64955i) q^{38} +(-1.75935 + 1.67754i) q^{39} +(1.76992 - 1.39188i) q^{40} +(3.54413 + 1.61855i) q^{41} +(0.210010 + 2.60096i) q^{42} +(-2.10040 + 3.26829i) q^{43} +(-3.58719 - 1.24154i) q^{44} +(2.28235 - 3.95315i) q^{45} +(-0.326311 - 4.78472i) q^{46} +(-3.67308 + 2.12065i) q^{47} +(-0.745373 + 0.645869i) q^{48} +(-6.94585 - 0.868988i) q^{49} +(-0.00995128 + 0.0692127i) q^{50} +(-0.152764 - 1.59982i) q^{51} +(0.916065 - 2.28822i) q^{52} +(-3.11517 - 3.26710i) q^{53} +(-2.27200 + 4.40706i) q^{54} +(7.77480 - 3.55063i) q^{55} +(-1.28921 - 2.31040i) q^{56} +(-2.72336 - 2.35980i) q^{57} +(-0.929698 - 0.179185i) q^{58} +(-10.5072 - 2.54902i) q^{59} +(0.211094 - 2.21068i) q^{60} +(12.2733 + 6.32733i) q^{61} +(0.742412 - 2.52842i) q^{62} +(-4.16716 - 3.37692i) q^{63} +(0.415415 - 0.909632i) q^{64} +(2.06266 + 5.15227i) q^{65} +(-3.32767 + 1.71553i) q^{66} +(-2.01725 - 10.4665i) q^{67} +(0.814736 + 1.41116i) q^{68} +(-3.63740 - 3.02358i) q^{69} +(5.69082 + 1.76182i) q^{70} +(-5.11039 - 5.89770i) q^{71} +(0.0964615 - 2.02498i) q^{72} +(-1.34623 + 1.71187i) q^{73} +(-7.04499 + 5.01672i) q^{74} +(0.0426309 + 0.0542096i) q^{75} +(3.50569 + 1.02936i) q^{76} +(-2.68820 - 9.67674i) q^{77} +(-1.00985 - 2.21126i) q^{78} +(6.97330 - 7.31338i) q^{79} +(0.736442 + 2.12781i) q^{80} +(-0.389751 - 1.12611i) q^{81} +(-2.68870 + 2.81983i) q^{82} +(1.07936 + 2.36347i) q^{83} +(-2.52660 - 0.652231i) q^{84} +(-3.52038 - 1.03368i) q^{85} +(-2.40156 - 3.05383i) q^{86} +(-0.760657 + 0.541661i) q^{87} +(2.34651 - 2.98383i) q^{88} +(-0.0713687 + 1.49821i) q^{89} +(2.98925 + 3.44978i) q^{90} +(6.35918 - 1.44454i) q^{91} +(4.62829 + 1.25656i) q^{92} +(-1.29949 - 2.25079i) q^{93} +(-0.802672 - 4.16466i) q^{94} +(-7.31229 + 3.76975i) q^{95} +(-0.366559 - 0.915621i) q^{96} +(-5.95201 + 13.0331i) q^{97} +(3.09296 - 6.27962i) q^{98} +(2.16806 - 7.38374i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q + 8 q^{2} - 6 q^{3} + 8 q^{4} + 11 q^{7} - 16 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q + 8 q^{2} - 6 q^{3} + 8 q^{4} + 11 q^{7} - 16 q^{8} + 12 q^{9} - 27 q^{12} - 11 q^{14} + 8 q^{16} + 66 q^{17} + 12 q^{18} - 66 q^{21} - 18 q^{23} - 6 q^{24} - 2 q^{25} + 6 q^{26} - 22 q^{28} - 16 q^{29} - 22 q^{30} + 24 q^{31} + 8 q^{32} + 73 q^{35} + 20 q^{36} + 22 q^{37} - 33 q^{38} + 22 q^{42} - 110 q^{43} + 4 q^{46} - 162 q^{47} + 25 q^{49} + 4 q^{50} - 11 q^{51} + 60 q^{52} + 22 q^{53} - 54 q^{54} - 11 q^{56} - 44 q^{57} - 14 q^{58} - 36 q^{59} - 121 q^{63} - 16 q^{64} - 77 q^{65} + 32 q^{70} + 144 q^{71} - 32 q^{72} - 108 q^{73} - 22 q^{74} + 96 q^{75} - 17 q^{77} - 22 q^{78} - 44 q^{79} + 14 q^{81} - 27 q^{82} + 11 q^{84} - 2 q^{85} - 66 q^{86} - 108 q^{87} + 11 q^{88} + 198 q^{89} - 8 q^{92} - 50 q^{93} + 30 q^{94} - 28 q^{95} + 6 q^{96} - 45 q^{98} - 220 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.327068 + 0.945001i −0.231272 + 0.668216i
\(3\) 0.451935 + 0.876631i 0.260925 + 0.506123i 0.982512 0.186200i \(-0.0596174\pi\)
−0.721587 + 0.692324i \(0.756587\pi\)
\(4\) −0.786053 0.618159i −0.393027 0.309079i
\(5\) 2.24145 0.214033i 1.00241 0.0957184i 0.419075 0.907951i \(-0.362354\pi\)
0.583333 + 0.812233i \(0.301748\pi\)
\(6\) −0.976231 + 0.140361i −0.398545 + 0.0573021i
\(7\) 0.164542 2.64063i 0.0621910 0.998064i
\(8\) 0.841254 0.540641i 0.297428 0.191145i
\(9\) 1.17593 1.65137i 0.391978 0.550456i
\(10\) −0.530846 + 2.18818i −0.167868 + 0.691963i
\(11\) 3.58719 1.24154i 1.08158 0.374338i 0.272571 0.962136i \(-0.412126\pi\)
0.809008 + 0.587797i \(0.200005\pi\)
\(12\) 0.186653 0.968446i 0.0538820 0.279566i
\(13\) 0.694408 + 2.36494i 0.192594 + 0.655915i 0.998001 + 0.0631934i \(0.0201285\pi\)
−0.805407 + 0.592722i \(0.798053\pi\)
\(14\) 2.44158 + 1.01916i 0.652540 + 0.272381i
\(15\) 1.20062 + 1.86820i 0.309998 + 0.482367i
\(16\) 0.235759 + 0.971812i 0.0589397 + 0.242953i
\(17\) −1.51275 0.605613i −0.366895 0.146883i 0.180886 0.983504i \(-0.442103\pi\)
−0.547782 + 0.836621i \(0.684528\pi\)
\(18\) 1.17593 + 1.65137i 0.277170 + 0.389231i
\(19\) −3.39197 + 1.35794i −0.778170 + 0.311532i −0.726531 0.687133i \(-0.758869\pi\)
−0.0516391 + 0.998666i \(0.516445\pi\)
\(20\) −1.89421 1.21733i −0.423558 0.272204i
\(21\) 2.38922 1.04915i 0.521371 0.228943i
\(22\) 3.79597i 0.809303i
\(23\) −4.41484 + 1.87329i −0.920557 + 0.390608i
\(24\) 0.854134 + 0.493135i 0.174349 + 0.100661i
\(25\) 0.0686608 0.0132333i 0.0137322 0.00264666i
\(26\) −2.46199 0.117279i −0.482835 0.0230003i
\(27\) 4.90778 + 0.705632i 0.944502 + 0.135799i
\(28\) −1.76167 + 1.97396i −0.332924 + 0.373044i
\(29\) 0.134745 + 0.937170i 0.0250215 + 0.174028i 0.998500 0.0547498i \(-0.0174361\pi\)
−0.973479 + 0.228778i \(0.926527\pi\)
\(30\) −2.15813 + 0.523558i −0.394020 + 0.0955881i
\(31\) −2.63218 + 0.125386i −0.472754 + 0.0225200i −0.282607 0.959236i \(-0.591199\pi\)
−0.190147 + 0.981756i \(0.560896\pi\)
\(32\) −0.995472 0.0950560i −0.175976 0.0168037i
\(33\) 2.70955 + 2.58355i 0.471672 + 0.449739i
\(34\) 1.06708 1.23147i 0.183002 0.211196i
\(35\) −0.196369 5.95407i −0.0331923 1.00642i
\(36\) −1.94515 + 0.571149i −0.324192 + 0.0951914i
\(37\) 7.04499 + 5.01672i 1.15819 + 0.824743i 0.987036 0.160501i \(-0.0513110\pi\)
0.171154 + 0.985244i \(0.445250\pi\)
\(38\) −0.173849 3.64955i −0.0282021 0.592035i
\(39\) −1.75935 + 1.67754i −0.281721 + 0.268621i
\(40\) 1.76992 1.39188i 0.279848 0.220075i
\(41\) 3.54413 + 1.61855i 0.553500 + 0.252775i 0.672472 0.740123i \(-0.265233\pi\)
−0.118972 + 0.992898i \(0.537960\pi\)
\(42\) 0.210010 + 2.60096i 0.0324053 + 0.401337i
\(43\) −2.10040 + 3.26829i −0.320308 + 0.498409i −0.963649 0.267170i \(-0.913911\pi\)
0.643341 + 0.765580i \(0.277548\pi\)
\(44\) −3.58719 1.24154i −0.540790 0.187169i
\(45\) 2.28235 3.95315i 0.340233 0.589301i
\(46\) −0.326311 4.78472i −0.0481119 0.705468i
\(47\) −3.67308 + 2.12065i −0.535774 + 0.309329i −0.743364 0.668887i \(-0.766771\pi\)
0.207591 + 0.978216i \(0.433438\pi\)
\(48\) −0.745373 + 0.645869i −0.107585 + 0.0932232i
\(49\) −6.94585 0.868988i −0.992265 0.124141i
\(50\) −0.00995128 + 0.0692127i −0.00140732 + 0.00978815i
\(51\) −0.152764 1.59982i −0.0213913 0.224020i
\(52\) 0.916065 2.28822i 0.127035 0.317319i
\(53\) −3.11517 3.26710i −0.427902 0.448771i 0.474120 0.880460i \(-0.342766\pi\)
−0.902022 + 0.431689i \(0.857918\pi\)
\(54\) −2.27200 + 4.40706i −0.309180 + 0.599725i
\(55\) 7.77480 3.55063i 1.04835 0.478767i
\(56\) −1.28921 2.31040i −0.172278 0.308740i
\(57\) −2.72336 2.35980i −0.360718 0.312564i
\(58\) −0.929698 0.179185i −0.122075 0.0235281i
\(59\) −10.5072 2.54902i −1.36792 0.331854i −0.516479 0.856300i \(-0.672757\pi\)
−0.851444 + 0.524446i \(0.824273\pi\)
\(60\) 0.211094 2.21068i 0.0272521 0.285397i
\(61\) 12.2733 + 6.32733i 1.57144 + 0.810132i 0.999945 0.0104757i \(-0.00333458\pi\)
0.571492 + 0.820608i \(0.306365\pi\)
\(62\) 0.742412 2.52842i 0.0942864 0.321110i
\(63\) −4.16716 3.37692i −0.525013 0.425452i
\(64\) 0.415415 0.909632i 0.0519269 0.113704i
\(65\) 2.06266 + 5.15227i 0.255841 + 0.639060i
\(66\) −3.32767 + 1.71553i −0.409607 + 0.211167i
\(67\) −2.01725 10.4665i −0.246446 1.27869i −0.868492 0.495704i \(-0.834910\pi\)
0.622045 0.782981i \(-0.286302\pi\)
\(68\) 0.814736 + 1.41116i 0.0988012 + 0.171129i
\(69\) −3.63740 3.02358i −0.437892 0.363996i
\(70\) 5.69082 + 1.76182i 0.680184 + 0.210577i
\(71\) −5.11039 5.89770i −0.606492 0.699929i 0.366592 0.930382i \(-0.380525\pi\)
−0.973083 + 0.230453i \(0.925979\pi\)
\(72\) 0.0964615 2.02498i 0.0113681 0.238646i
\(73\) −1.34623 + 1.71187i −0.157565 + 0.200360i −0.858425 0.512938i \(-0.828557\pi\)
0.700861 + 0.713298i \(0.252799\pi\)
\(74\) −7.04499 + 5.01672i −0.818964 + 0.583181i
\(75\) 0.0426309 + 0.0542096i 0.00492259 + 0.00625959i
\(76\) 3.50569 + 1.02936i 0.402130 + 0.118076i
\(77\) −2.68820 9.67674i −0.306349 1.10277i
\(78\) −1.00985 2.21126i −0.114343 0.250375i
\(79\) 6.97330 7.31338i 0.784557 0.822820i −0.203148 0.979148i \(-0.565117\pi\)
0.987705 + 0.156328i \(0.0499658\pi\)
\(80\) 0.736442 + 2.12781i 0.0823368 + 0.237896i
\(81\) −0.389751 1.12611i −0.0433057 0.125123i
\(82\) −2.68870 + 2.81983i −0.296917 + 0.311398i
\(83\) 1.07936 + 2.36347i 0.118475 + 0.259425i 0.959574 0.281457i \(-0.0908178\pi\)
−0.841098 + 0.540882i \(0.818091\pi\)
\(84\) −2.52660 0.652231i −0.275674 0.0711642i
\(85\) −3.52038 1.03368i −0.381839 0.112118i
\(86\) −2.40156 3.05383i −0.258967 0.329303i
\(87\) −0.760657 + 0.541661i −0.0815510 + 0.0580722i
\(88\) 2.34651 2.98383i 0.250139 0.318078i
\(89\) −0.0713687 + 1.49821i −0.00756507 + 0.158810i 0.991924 + 0.126837i \(0.0404824\pi\)
−0.999489 + 0.0319739i \(0.989821\pi\)
\(90\) 2.98925 + 3.44978i 0.315094 + 0.363638i
\(91\) 6.35918 1.44454i 0.666623 0.151429i
\(92\) 4.62829 + 1.25656i 0.482532 + 0.131006i
\(93\) −1.29949 2.25079i −0.134751 0.233396i
\(94\) −0.802672 4.16466i −0.0827893 0.429552i
\(95\) −7.31229 + 3.76975i −0.750225 + 0.386768i
\(96\) −0.366559 0.915621i −0.0374118 0.0934502i
\(97\) −5.95201 + 13.0331i −0.604335 + 1.32331i 0.322047 + 0.946724i \(0.395629\pi\)
−0.926382 + 0.376585i \(0.877098\pi\)
\(98\) 3.09296 6.27962i 0.312436 0.634337i
\(99\) 2.16806 7.38374i 0.217899 0.742094i
\(100\) −0.0621513 0.0320412i −0.00621513 0.00320412i
\(101\) 0.0215796 0.225991i 0.00214725 0.0224870i −0.994335 0.106293i \(-0.966102\pi\)
0.996482 + 0.0838065i \(0.0267078\pi\)
\(102\) 1.56180 + 0.378888i 0.154641 + 0.0375155i
\(103\) −2.78095 0.535984i −0.274015 0.0528120i 0.0503926 0.998729i \(-0.483953\pi\)
−0.324407 + 0.945917i \(0.605165\pi\)
\(104\) 1.86275 + 1.61409i 0.182658 + 0.158274i
\(105\) 5.13078 2.86299i 0.500712 0.279400i
\(106\) 4.10628 1.87528i 0.398838 0.182143i
\(107\) −4.54093 + 8.80818i −0.438989 + 0.851519i 0.560735 + 0.827996i \(0.310519\pi\)
−0.999723 + 0.0235237i \(0.992511\pi\)
\(108\) −3.42158 3.58845i −0.329242 0.345299i
\(109\) 5.37953 13.4374i 0.515265 1.28707i −0.411493 0.911413i \(-0.634993\pi\)
0.926758 0.375658i \(-0.122583\pi\)
\(110\) 0.812462 + 8.50849i 0.0774652 + 0.811253i
\(111\) −1.21393 + 8.44309i −0.115221 + 0.801383i
\(112\) 2.60499 0.462648i 0.246148 0.0437162i
\(113\) −0.0228260 + 0.0197789i −0.00214729 + 0.00186064i −0.655934 0.754818i \(-0.727725\pi\)
0.653786 + 0.756679i \(0.273179\pi\)
\(114\) 3.12074 1.80176i 0.292284 0.168750i
\(115\) −9.49470 + 5.14382i −0.885386 + 0.479663i
\(116\) 0.473404 0.819959i 0.0439544 0.0761313i
\(117\) 4.72196 + 1.63429i 0.436545 + 0.151090i
\(118\) 5.84540 9.09562i 0.538113 0.837320i
\(119\) −1.84811 + 3.89496i −0.169416 + 0.357050i
\(120\) 2.02005 + 0.922526i 0.184404 + 0.0842147i
\(121\) 2.67996 2.10754i 0.243632 0.191595i
\(122\) −9.99354 + 9.52882i −0.904773 + 0.862699i
\(123\) 0.182844 + 3.83837i 0.0164865 + 0.346094i
\(124\) 2.14654 + 1.52855i 0.192765 + 0.137268i
\(125\) −10.6511 + 3.12746i −0.952667 + 0.279728i
\(126\) 4.55414 2.83349i 0.405715 0.252427i
\(127\) −12.0178 + 13.8692i −1.06640 + 1.23069i −0.0944474 + 0.995530i \(0.530108\pi\)
−0.971956 + 0.235165i \(0.924437\pi\)
\(128\) 0.723734 + 0.690079i 0.0639697 + 0.0609949i
\(129\) −3.81433 0.364224i −0.335833 0.0320682i
\(130\) −5.54353 + 0.264071i −0.486200 + 0.0231605i
\(131\) 0.190701 0.0462636i 0.0166616 0.00404207i −0.227419 0.973797i \(-0.573029\pi\)
0.244081 + 0.969755i \(0.421514\pi\)
\(132\) −0.532805 3.70574i −0.0463747 0.322543i
\(133\) 3.02769 + 9.18036i 0.262534 + 0.796039i
\(134\) 10.5506 + 1.51695i 0.911435 + 0.131045i
\(135\) 11.1516 + 0.531215i 0.959776 + 0.0457197i
\(136\) −1.60002 + 0.308379i −0.137201 + 0.0264433i
\(137\) −15.8681 9.16145i −1.35570 0.782715i −0.366661 0.930354i \(-0.619499\pi\)
−0.989041 + 0.147639i \(0.952833\pi\)
\(138\) 4.04696 2.44843i 0.344500 0.208425i
\(139\) 9.03003i 0.765917i 0.923765 + 0.382959i \(0.125095\pi\)
−0.923765 + 0.382959i \(0.874905\pi\)
\(140\) −3.52620 + 4.80160i −0.298019 + 0.405809i
\(141\) −3.51902 2.26154i −0.296355 0.190456i
\(142\) 7.24478 2.90037i 0.607968 0.243394i
\(143\) 5.42714 + 7.62135i 0.453840 + 0.637329i
\(144\) 1.88205 + 0.753461i 0.156838 + 0.0627884i
\(145\) 0.502609 + 2.07178i 0.0417394 + 0.172052i
\(146\) −1.17741 1.83209i −0.0974433 0.151625i
\(147\) −2.37729 6.48168i −0.196076 0.534600i
\(148\) −2.43661 8.29833i −0.200288 0.682119i
\(149\) −1.36238 + 7.06871i −0.111611 + 0.579091i 0.882463 + 0.470382i \(0.155884\pi\)
−0.994074 + 0.108709i \(0.965328\pi\)
\(150\) −0.0651713 + 0.0225560i −0.00532122 + 0.00184169i
\(151\) 4.20117 17.3174i 0.341886 1.40927i −0.498314 0.866997i \(-0.666047\pi\)
0.840200 0.542277i \(-0.182438\pi\)
\(152\) −2.11935 + 2.97621i −0.171902 + 0.241402i
\(153\) −2.77898 + 1.78594i −0.224667 + 0.144385i
\(154\) 10.0238 + 0.624596i 0.807737 + 0.0503314i
\(155\) −5.87308 + 0.844421i −0.471737 + 0.0678255i
\(156\) 2.41993 0.231075i 0.193749 0.0185008i
\(157\) 14.6949 + 11.5562i 1.17278 + 0.922288i 0.998056 0.0623290i \(-0.0198528\pi\)
0.174729 + 0.984617i \(0.444095\pi\)
\(158\) 4.63041 + 8.98174i 0.368376 + 0.714549i
\(159\) 1.45619 4.20737i 0.115483 0.333666i
\(160\) −2.25165 −0.178009
\(161\) 4.22024 + 11.9662i 0.332602 + 0.943067i
\(162\) 1.19165 0.0936249
\(163\) −2.86961 + 8.29119i −0.224765 + 0.649416i 0.775081 + 0.631862i \(0.217709\pi\)
−0.999846 + 0.0175538i \(0.994412\pi\)
\(164\) −1.78535 3.46310i −0.139413 0.270423i
\(165\) 6.62630 + 5.21098i 0.515857 + 0.405674i
\(166\) −2.58651 + 0.246981i −0.200752 + 0.0191695i
\(167\) 23.0048 3.30759i 1.78016 0.255949i 0.827825 0.560987i \(-0.189578\pi\)
0.952340 + 0.305038i \(0.0986691\pi\)
\(168\) 1.44273 2.17431i 0.111309 0.167752i
\(169\) 5.82557 3.74387i 0.448121 0.287990i
\(170\) 2.12823 2.98868i 0.163228 0.229221i
\(171\) −1.74627 + 7.19823i −0.133541 + 0.550462i
\(172\) 3.67135 1.27067i 0.279938 0.0968874i
\(173\) 1.39105 7.21746i 0.105760 0.548734i −0.889939 0.456080i \(-0.849253\pi\)
0.995698 0.0926535i \(-0.0295349\pi\)
\(174\) −0.263084 0.895982i −0.0199443 0.0679242i
\(175\) −0.0236466 0.183485i −0.00178752 0.0138702i
\(176\) 2.05226 + 3.19337i 0.154695 + 0.240710i
\(177\) −2.51402 10.3629i −0.188966 0.778927i
\(178\) −1.39247 0.557461i −0.104370 0.0417835i
\(179\) −12.0658 16.9440i −0.901837 1.26645i −0.963323 0.268345i \(-0.913523\pi\)
0.0614860 0.998108i \(-0.480416\pi\)
\(180\) −4.23773 + 1.69653i −0.315862 + 0.126452i
\(181\) 22.3119 + 14.3390i 1.65843 + 1.06581i 0.920354 + 0.391086i \(0.127901\pi\)
0.738073 + 0.674720i \(0.235736\pi\)
\(182\) −0.714790 + 6.48189i −0.0529837 + 0.480470i
\(183\) 13.6187i 1.00672i
\(184\) −2.70122 + 3.96275i −0.199136 + 0.292138i
\(185\) 16.8648 + 9.73688i 1.23992 + 0.715869i
\(186\) 2.55202 0.491861i 0.187123 0.0360650i
\(187\) −6.17842 0.294314i −0.451811 0.0215224i
\(188\) 4.19813 + 0.603601i 0.306180 + 0.0440221i
\(189\) 2.67085 12.8435i 0.194276 0.934228i
\(190\) −1.17080 8.14308i −0.0849387 0.590761i
\(191\) −20.3034 + 4.92554i −1.46910 + 0.356400i −0.888910 0.458082i \(-0.848537\pi\)
−0.580190 + 0.814481i \(0.697022\pi\)
\(192\) 0.985152 0.0469286i 0.0710973 0.00338678i
\(193\) 11.0644 + 1.05652i 0.796435 + 0.0760503i 0.485337 0.874327i \(-0.338697\pi\)
0.311098 + 0.950378i \(0.399303\pi\)
\(194\) −10.3696 9.88735i −0.744491 0.709871i
\(195\) −3.58445 + 4.13668i −0.256688 + 0.296234i
\(196\) 4.92264 + 4.97671i 0.351617 + 0.355479i
\(197\) 4.57550 1.34349i 0.325991 0.0957196i −0.114642 0.993407i \(-0.536572\pi\)
0.440633 + 0.897687i \(0.354754\pi\)
\(198\) 6.26854 + 4.46381i 0.445486 + 0.317229i
\(199\) 0.558860 + 11.7319i 0.0396165 + 0.831653i 0.928007 + 0.372564i \(0.121521\pi\)
−0.888390 + 0.459089i \(0.848176\pi\)
\(200\) 0.0506067 0.0482534i 0.00357843 0.00341203i
\(201\) 8.26359 6.49856i 0.582868 0.458373i
\(202\) 0.206504 + 0.0943072i 0.0145296 + 0.00663543i
\(203\) 2.49689 0.201607i 0.175247 0.0141501i
\(204\) −0.868863 + 1.35198i −0.0608326 + 0.0946573i
\(205\) 8.29042 + 2.86934i 0.579028 + 0.200404i
\(206\) 1.41606 2.45269i 0.0986618 0.170887i
\(207\) −2.09806 + 9.49338i −0.145825 + 0.659836i
\(208\) −2.13456 + 1.23239i −0.148005 + 0.0854508i
\(209\) −10.4817 + 9.08245i −0.725035 + 0.628246i
\(210\) 1.02742 + 5.78498i 0.0708986 + 0.399202i
\(211\) −0.186999 + 1.30061i −0.0128736 + 0.0895376i −0.995245 0.0974004i \(-0.968947\pi\)
0.982372 + 0.186938i \(0.0598563\pi\)
\(212\) 0.429105 + 4.49379i 0.0294710 + 0.308634i
\(213\) 2.86055 7.14531i 0.196002 0.489588i
\(214\) −6.83855 7.17206i −0.467473 0.490272i
\(215\) −4.00843 + 7.77527i −0.273373 + 0.530269i
\(216\) 4.51018 2.05973i 0.306879 0.140147i
\(217\) −0.102005 + 6.97125i −0.00692458 + 0.473239i
\(218\) 10.9389 + 9.47861i 0.740875 + 0.641972i
\(219\) −2.10909 0.406494i −0.142519 0.0274683i
\(220\) −8.30626 2.01508i −0.560008 0.135856i
\(221\) 0.381772 3.99810i 0.0256808 0.268941i
\(222\) −7.58169 3.90863i −0.508850 0.262330i
\(223\) 3.19333 10.8755i 0.213841 0.728276i −0.780790 0.624793i \(-0.785183\pi\)
0.994631 0.103482i \(-0.0329986\pi\)
\(224\) −0.414805 + 2.61303i −0.0277153 + 0.174591i
\(225\) 0.0588875 0.128946i 0.00392583 0.00859637i
\(226\) −0.0112254 0.0280397i −0.000746702 0.00186517i
\(227\) −19.6097 + 10.1095i −1.30154 + 0.670992i −0.962884 0.269916i \(-0.913004\pi\)
−0.338660 + 0.940909i \(0.609974\pi\)
\(228\) 0.681971 + 3.53840i 0.0451646 + 0.234336i
\(229\) −10.6403 18.4296i −0.703133 1.21786i −0.967361 0.253402i \(-0.918450\pi\)
0.264228 0.964460i \(-0.414883\pi\)
\(230\) −1.75550 10.6549i −0.115754 0.702562i
\(231\) 7.26804 6.72982i 0.478202 0.442790i
\(232\) 0.620027 + 0.715549i 0.0407068 + 0.0469781i
\(233\) 0.300444 6.30710i 0.0196828 0.413192i −0.967427 0.253149i \(-0.918534\pi\)
0.987110 0.160043i \(-0.0511632\pi\)
\(234\) −3.08880 + 3.92773i −0.201921 + 0.256764i
\(235\) −7.77914 + 5.53950i −0.507455 + 0.361357i
\(236\) 6.68353 + 8.49879i 0.435060 + 0.553224i
\(237\) 9.56261 + 2.80784i 0.621159 + 0.182389i
\(238\) −3.07628 3.02038i −0.199406 0.195782i
\(239\) −6.26561 13.7198i −0.405288 0.887458i −0.996707 0.0810926i \(-0.974159\pi\)
0.591418 0.806365i \(-0.298568\pi\)
\(240\) −1.53248 + 1.60722i −0.0989212 + 0.103746i
\(241\) −3.42288 9.88977i −0.220487 0.637056i −0.999944 0.0105999i \(-0.996626\pi\)
0.779457 0.626456i \(-0.215495\pi\)
\(242\) 1.11510 + 3.22187i 0.0716814 + 0.207110i
\(243\) 11.0758 11.6159i 0.710512 0.745164i
\(244\) −5.73618 12.5605i −0.367221 0.804102i
\(245\) −15.7548 0.461157i −1.00654 0.0294622i
\(246\) −3.68707 1.08262i −0.235079 0.0690253i
\(247\) −5.56685 7.07882i −0.354210 0.450415i
\(248\) −2.14654 + 1.52855i −0.136306 + 0.0970628i
\(249\) −1.58409 + 2.01434i −0.100388 + 0.127653i
\(250\) 0.528197 11.0882i 0.0334061 0.701281i
\(251\) −7.70848 8.89606i −0.486555 0.561514i 0.458387 0.888753i \(-0.348427\pi\)
−0.944942 + 0.327239i \(0.893882\pi\)
\(252\) 1.18813 + 5.23041i 0.0748453 + 0.329485i
\(253\) −13.5111 + 12.2011i −0.849436 + 0.767074i
\(254\) −9.17581 15.8930i −0.575741 0.997213i
\(255\) −0.684828 3.55323i −0.0428856 0.222512i
\(256\) −0.888835 + 0.458227i −0.0555522 + 0.0286392i
\(257\) −4.51997 11.2903i −0.281948 0.704271i −0.999966 0.00824714i \(-0.997375\pi\)
0.718018 0.696024i \(-0.245049\pi\)
\(258\) 1.59174 3.48542i 0.0990972 0.216993i
\(259\) 14.4065 17.7778i 0.895176 1.10466i
\(260\) 1.56356 5.32501i 0.0969681 0.330243i
\(261\) 1.70606 + 0.879537i 0.105603 + 0.0544420i
\(262\) −0.0186531 + 0.195344i −0.00115239 + 0.0120684i
\(263\) 22.0909 + 5.35920i 1.36219 + 0.330463i 0.849262 0.527972i \(-0.177047\pi\)
0.512924 + 0.858434i \(0.328562\pi\)
\(264\) 3.67619 + 0.708528i 0.226254 + 0.0436069i
\(265\) −7.68178 6.65630i −0.471888 0.408893i
\(266\) −9.66571 0.141432i −0.592643 0.00867173i
\(267\) −1.34564 + 0.614531i −0.0823515 + 0.0376087i
\(268\) −4.88429 + 9.47420i −0.298355 + 0.578729i
\(269\) −17.4660 18.3178i −1.06492 1.11686i −0.992839 0.119459i \(-0.961884\pi\)
−0.0720826 0.997399i \(-0.522965\pi\)
\(270\) −4.14933 + 10.3645i −0.252520 + 0.630764i
\(271\) 1.80971 + 18.9521i 0.109932 + 1.15126i 0.867133 + 0.498077i \(0.165960\pi\)
−0.757201 + 0.653182i \(0.773433\pi\)
\(272\) 0.231898 1.61289i 0.0140609 0.0977956i
\(273\) 4.14027 + 4.92182i 0.250580 + 0.297882i
\(274\) 13.8475 11.9989i 0.836559 0.724883i
\(275\) 0.229870 0.132715i 0.0138617 0.00800304i
\(276\) 0.990141 + 4.62519i 0.0595995 + 0.278404i
\(277\) −7.86681 + 13.6257i −0.472671 + 0.818690i −0.999511 0.0312744i \(-0.990043\pi\)
0.526840 + 0.849965i \(0.323377\pi\)
\(278\) −8.53339 2.95343i −0.511799 0.177135i
\(279\) −2.88821 + 4.49415i −0.172913 + 0.269057i
\(280\) −3.38421 4.90271i −0.202245 0.292993i
\(281\) 12.8886 + 5.88602i 0.768868 + 0.351130i 0.760926 0.648838i \(-0.224745\pi\)
0.00794174 + 0.999968i \(0.497472\pi\)
\(282\) 3.28812 2.58580i 0.195804 0.153982i
\(283\) −0.503839 + 0.480410i −0.0299501 + 0.0285574i −0.704906 0.709300i \(-0.749011\pi\)
0.674956 + 0.737858i \(0.264163\pi\)
\(284\) 0.371319 + 7.79494i 0.0220337 + 0.462545i
\(285\) −6.60936 4.70650i −0.391505 0.278789i
\(286\) −8.97723 + 2.63595i −0.530835 + 0.155867i
\(287\) 4.85714 9.09241i 0.286708 0.536708i
\(288\) −1.32758 + 1.53211i −0.0782285 + 0.0902805i
\(289\) −10.3818 9.89906i −0.610696 0.582298i
\(290\) −2.12223 0.202648i −0.124621 0.0118999i
\(291\) −14.1151 + 0.672386i −0.827443 + 0.0394160i
\(292\) 2.11642 0.513438i 0.123854 0.0300467i
\(293\) −2.25599 15.6908i −0.131796 0.916664i −0.943211 0.332194i \(-0.892211\pi\)
0.811415 0.584471i \(-0.198698\pi\)
\(294\) 6.90273 0.126592i 0.402575 0.00738300i
\(295\) −24.0970 3.46463i −1.40298 0.201718i
\(296\) 8.63887 + 0.411520i 0.502124 + 0.0239191i
\(297\) 18.4812 3.56196i 1.07239 0.206686i
\(298\) −6.23435 3.59940i −0.361146 0.208508i
\(299\) −7.49591 9.13998i −0.433500 0.528579i
\(300\) 0.0689643i 0.00398166i
\(301\) 8.28474 + 6.08416i 0.477524 + 0.350685i
\(302\) 14.9909 + 9.63409i 0.862631 + 0.554380i
\(303\) 0.207864 0.0832161i 0.0119415 0.00478064i
\(304\) −2.11935 2.97621i −0.121553 0.170697i
\(305\) 28.8643 + 11.5555i 1.65277 + 0.661668i
\(306\) −0.778802 3.21027i −0.0445211 0.183519i
\(307\) 13.0399 + 20.2905i 0.744228 + 1.15804i 0.982395 + 0.186817i \(0.0598172\pi\)
−0.238167 + 0.971224i \(0.576546\pi\)
\(308\) −3.86869 + 9.26817i −0.220439 + 0.528103i
\(309\) −0.786947 2.68009i −0.0447678 0.152465i
\(310\) 1.12292 5.82625i 0.0637774 0.330909i
\(311\) 28.0783 9.71801i 1.59218 0.551058i 0.619857 0.784714i \(-0.287190\pi\)
0.972319 + 0.233657i \(0.0750692\pi\)
\(312\) −0.573115 + 2.36241i −0.0324462 + 0.133745i
\(313\) −4.47773 + 6.28810i −0.253097 + 0.355424i −0.921503 0.388372i \(-0.873037\pi\)
0.668406 + 0.743797i \(0.266977\pi\)
\(314\) −15.7269 + 10.1071i −0.887520 + 0.570374i
\(315\) −10.0633 6.67731i −0.567001 0.376224i
\(316\) −10.0022 + 1.43810i −0.562668 + 0.0808995i
\(317\) 17.6728 1.68755i 0.992604 0.0947822i 0.413902 0.910321i \(-0.364166\pi\)
0.578702 + 0.815539i \(0.303560\pi\)
\(318\) 3.49970 + 2.75219i 0.196253 + 0.154335i
\(319\) 1.64689 + 3.19452i 0.0922081 + 0.178859i
\(320\) 0.736442 2.12781i 0.0411684 0.118948i
\(321\) −9.77374 −0.545517
\(322\) −12.6884 + 0.0743789i −0.707095 + 0.00414497i
\(323\) 5.95358 0.331266
\(324\) −0.389751 + 1.12611i −0.0216528 + 0.0625617i
\(325\) 0.0789744 + 0.153189i 0.00438071 + 0.00849740i
\(326\) −6.89662 5.42356i −0.381969 0.300383i
\(327\) 14.2109 1.35697i 0.785862 0.0750407i
\(328\) 3.85656 0.554490i 0.212943 0.0306166i
\(329\) 4.99548 + 10.0482i 0.275410 + 0.553974i
\(330\) −7.09163 + 4.55751i −0.390381 + 0.250883i
\(331\) 17.8433 25.0574i 0.980755 1.37728i 0.0552784 0.998471i \(-0.482395\pi\)
0.925476 0.378806i \(-0.123665\pi\)
\(332\) 0.612566 2.52503i 0.0336189 0.138579i
\(333\) 16.5689 5.73455i 0.907969 0.314251i
\(334\) −4.39846 + 22.8214i −0.240673 + 1.24873i
\(335\) −6.76175 23.0284i −0.369434 1.25818i
\(336\) 1.58286 + 2.07453i 0.0863519 + 0.113175i
\(337\) −3.21288 4.99934i −0.175017 0.272331i 0.742652 0.669677i \(-0.233568\pi\)
−0.917669 + 0.397346i \(0.869931\pi\)
\(338\) 1.63260 + 6.72967i 0.0888018 + 0.366046i
\(339\) −0.0276547 0.0110713i −0.00150200 0.000601308i
\(340\) 2.12823 + 2.98868i 0.115419 + 0.162084i
\(341\) −9.28648 + 3.71774i −0.502891 + 0.201327i
\(342\) −6.23118 4.00454i −0.336944 0.216541i
\(343\) −3.43756 + 18.1984i −0.185611 + 0.982623i
\(344\) 3.88502i 0.209466i
\(345\) −8.80022 5.99869i −0.473788 0.322958i
\(346\) 6.36554 + 3.67515i 0.342214 + 0.197577i
\(347\) −5.43520 + 1.04755i −0.291777 + 0.0562353i −0.333039 0.942913i \(-0.608074\pi\)
0.0412625 + 0.999148i \(0.486862\pi\)
\(348\) 0.932750 + 0.0444323i 0.0500006 + 0.00238182i
\(349\) −25.7175 3.69762i −1.37663 0.197929i −0.586042 0.810281i \(-0.699314\pi\)
−0.790585 + 0.612352i \(0.790224\pi\)
\(350\) 0.181128 + 0.0376660i 0.00968168 + 0.00201333i
\(351\) 1.73923 + 12.0966i 0.0928330 + 0.645668i
\(352\) −3.68897 + 0.894934i −0.196623 + 0.0477001i
\(353\) −11.8334 + 0.563695i −0.629829 + 0.0300025i −0.360070 0.932925i \(-0.617247\pi\)
−0.269759 + 0.962928i \(0.586944\pi\)
\(354\) 10.6152 + 1.01363i 0.564194 + 0.0538740i
\(355\) −12.7170 12.1256i −0.674949 0.643562i
\(356\) 0.982234 1.13356i 0.0520583 0.0600785i
\(357\) −4.24967 + 0.140157i −0.224916 + 0.00741787i
\(358\) 19.9584 5.86031i 1.05483 0.309727i
\(359\) 6.75546 + 4.81054i 0.356539 + 0.253891i 0.744265 0.667884i \(-0.232800\pi\)
−0.387726 + 0.921775i \(0.626739\pi\)
\(360\) −0.217197 4.55954i −0.0114473 0.240309i
\(361\) −4.08951 + 3.89934i −0.215237 + 0.205228i
\(362\) −20.8478 + 16.3949i −1.09574 + 0.861697i
\(363\) 3.05870 + 1.39686i 0.160540 + 0.0733163i
\(364\) −5.89161 2.79550i −0.308804 0.146524i
\(365\) −2.65112 + 4.12522i −0.138766 + 0.215924i
\(366\) −12.8697 4.45425i −0.672710 0.232827i
\(367\) −3.71468 + 6.43402i −0.193905 + 0.335853i −0.946541 0.322584i \(-0.895449\pi\)
0.752636 + 0.658437i \(0.228782\pi\)
\(368\) −2.86132 3.84874i −0.149157 0.200630i
\(369\) 6.84047 3.94935i 0.356101 0.205595i
\(370\) −14.7173 + 12.7526i −0.765115 + 0.662976i
\(371\) −9.13978 + 7.68844i −0.474514 + 0.399164i
\(372\) −0.369874 + 2.57253i −0.0191771 + 0.133379i
\(373\) −1.00511 10.5260i −0.0520427 0.545016i −0.983468 0.181083i \(-0.942040\pi\)
0.931425 0.363933i \(-0.118566\pi\)
\(374\) 2.29889 5.74235i 0.118873 0.296930i
\(375\) −7.55525 7.92372i −0.390151 0.409179i
\(376\) −1.94348 + 3.76982i −0.100227 + 0.194414i
\(377\) −2.12278 + 0.969441i −0.109329 + 0.0499288i
\(378\) 11.2636 + 6.72466i 0.579336 + 0.345879i
\(379\) −21.6906 18.7951i −1.11417 0.965437i −0.114565 0.993416i \(-0.536548\pi\)
−0.999609 + 0.0279786i \(0.991093\pi\)
\(380\) 8.07815 + 1.55694i 0.414400 + 0.0798691i
\(381\) −17.5894 4.26715i −0.901134 0.218613i
\(382\) 1.98594 20.7977i 0.101609 1.06410i
\(383\) 26.7796 + 13.8059i 1.36838 + 0.705447i 0.976690 0.214653i \(-0.0688620\pi\)
0.391685 + 0.920099i \(0.371892\pi\)
\(384\) −0.277864 + 0.946319i −0.0141797 + 0.0482916i
\(385\) −8.09662 21.1146i −0.412642 1.07610i
\(386\) −4.61724 + 10.1103i −0.235011 + 0.514603i
\(387\) 2.92721 + 7.31183i 0.148799 + 0.371681i
\(388\) 12.7351 6.56540i 0.646527 0.333308i
\(389\) 7.06482 + 36.6558i 0.358201 + 1.85852i 0.496366 + 0.868113i \(0.334667\pi\)
−0.138165 + 0.990409i \(0.544121\pi\)
\(390\) −2.73681 4.74029i −0.138584 0.240034i
\(391\) 7.81303 0.160136i 0.395122 0.00809843i
\(392\) −6.31303 + 3.02417i −0.318856 + 0.152744i
\(393\) 0.126741 + 0.146266i 0.00639321 + 0.00737816i
\(394\) −0.226902 + 4.76327i −0.0114312 + 0.239970i
\(395\) 14.0650 17.8851i 0.707688 0.899898i
\(396\) −6.26854 + 4.46381i −0.315006 + 0.224315i
\(397\) −0.716272 0.910813i −0.0359486 0.0457124i 0.767746 0.640754i \(-0.221378\pi\)
−0.803695 + 0.595041i \(0.797136\pi\)
\(398\) −11.2695 3.30901i −0.564887 0.165866i
\(399\) −6.67947 + 6.80310i −0.334392 + 0.340581i
\(400\) 0.0290476 + 0.0636055i 0.00145238 + 0.00318027i
\(401\) 14.6292 15.3427i 0.730548 0.766176i −0.248757 0.968566i \(-0.580022\pi\)
0.979305 + 0.202389i \(0.0648707\pi\)
\(402\) 3.43839 + 9.93457i 0.171491 + 0.495491i
\(403\) −2.12434 6.13787i −0.105821 0.305749i
\(404\) −0.156661 + 0.164302i −0.00779419 + 0.00817431i
\(405\) −1.11463 2.44071i −0.0553866 0.121280i
\(406\) −0.626134 + 2.42550i −0.0310745 + 0.120376i
\(407\) 31.5002 + 9.24930i 1.56141 + 0.458471i
\(408\) −0.993442 1.26326i −0.0491827 0.0625409i
\(409\) 10.2220 7.27902i 0.505443 0.359924i −0.298713 0.954343i \(-0.596557\pi\)
0.804156 + 0.594419i \(0.202618\pi\)
\(410\) −5.42306 + 6.89598i −0.267826 + 0.340568i
\(411\) 0.859868 18.0508i 0.0424141 0.890383i
\(412\) 1.85465 + 2.14038i 0.0913720 + 0.105449i
\(413\) −8.45990 + 27.3262i −0.416284 + 1.34464i
\(414\) −8.28505 5.08765i −0.407188 0.250044i
\(415\) 2.92520 + 5.06659i 0.143592 + 0.248709i
\(416\) −0.466462 2.42024i −0.0228702 0.118662i
\(417\) −7.91601 + 4.08099i −0.387649 + 0.199847i
\(418\) −5.15469 12.8758i −0.252124 0.629776i
\(419\) −0.356199 + 0.779967i −0.0174015 + 0.0381039i −0.918133 0.396272i \(-0.870304\pi\)
0.900732 + 0.434376i \(0.143031\pi\)
\(420\) −5.80285 0.921170i −0.283150 0.0449485i
\(421\) −8.78903 + 29.9327i −0.428351 + 1.45883i 0.409186 + 0.912451i \(0.365813\pi\)
−0.837538 + 0.546380i \(0.816006\pi\)
\(422\) −1.16791 0.602102i −0.0568532 0.0293099i
\(423\) −0.817319 + 8.55935i −0.0397394 + 0.416170i
\(424\) −4.38698 1.06427i −0.213050 0.0516855i
\(425\) −0.111881 0.0215632i −0.00542701 0.00104597i
\(426\) 5.81673 + 5.04022i 0.281821 + 0.244200i
\(427\) 18.7276 31.3682i 0.906293 1.51801i
\(428\) 9.01427 4.11668i 0.435721 0.198987i
\(429\) −4.22840 + 8.20195i −0.204149 + 0.395994i
\(430\) −6.03661 6.33102i −0.291111 0.305309i
\(431\) 3.11632 7.78419i 0.150108 0.374951i −0.834188 0.551481i \(-0.814063\pi\)
0.984295 + 0.176530i \(0.0564872\pi\)
\(432\) 0.471311 + 4.93579i 0.0226760 + 0.237474i
\(433\) −4.19587 + 29.1829i −0.201641 + 1.40244i 0.597776 + 0.801663i \(0.296051\pi\)
−0.799416 + 0.600777i \(0.794858\pi\)
\(434\) −6.55447 2.37647i −0.314625 0.114074i
\(435\) −1.58904 + 1.37691i −0.0761888 + 0.0660180i
\(436\) −12.5351 + 7.23712i −0.600320 + 0.346595i
\(437\) 12.4312 12.3492i 0.594663 0.590743i
\(438\) 1.07395 1.86014i 0.0513155 0.0888810i
\(439\) 8.69858 + 3.01061i 0.415160 + 0.143688i 0.526660 0.850076i \(-0.323444\pi\)
−0.111500 + 0.993764i \(0.535565\pi\)
\(440\) 4.62096 7.19036i 0.220296 0.342787i
\(441\) −9.60288 + 10.4483i −0.457280 + 0.497537i
\(442\) 3.65334 + 1.66842i 0.173772 + 0.0793589i
\(443\) 4.86856 3.82868i 0.231312 0.181906i −0.495775 0.868451i \(-0.665116\pi\)
0.727087 + 0.686545i \(0.240873\pi\)
\(444\) 6.17339 5.88631i 0.292976 0.279352i
\(445\) 0.160697 + 3.37345i 0.00761778 + 0.159917i
\(446\) 9.23290 + 6.57472i 0.437190 + 0.311322i
\(447\) −6.81236 + 2.00029i −0.322214 + 0.0946105i
\(448\) −2.33365 1.24663i −0.110255 0.0588977i
\(449\) 19.6199 22.6426i 0.925921 1.06857i −0.0715463 0.997437i \(-0.522793\pi\)
0.997467 0.0711321i \(-0.0226612\pi\)
\(450\) 0.102593 + 0.0978227i 0.00483630 + 0.00461141i
\(451\) 14.7230 + 1.40587i 0.693277 + 0.0662000i
\(452\) 0.0301690 0.00143713i 0.00141903 6.75967e-5i
\(453\) 17.0797 4.14348i 0.802473 0.194678i
\(454\) −3.13979 21.8377i −0.147358 1.02489i
\(455\) 13.9446 4.59895i 0.653734 0.215602i
\(456\) −3.56684 0.512834i −0.167033 0.0240157i
\(457\) −3.23241 0.153979i −0.151206 0.00720282i −0.0281575 0.999603i \(-0.508964\pi\)
−0.123048 + 0.992401i \(0.539267\pi\)
\(458\) 20.8961 4.02739i 0.976411 0.188188i
\(459\) −6.99690 4.03966i −0.326587 0.188555i
\(460\) 10.6430 + 1.82592i 0.496234 + 0.0851342i
\(461\) 36.3724i 1.69403i −0.531569 0.847015i \(-0.678397\pi\)
0.531569 0.847015i \(-0.321603\pi\)
\(462\) 3.98254 + 9.06941i 0.185285 + 0.421947i
\(463\) 9.67312 + 6.21653i 0.449548 + 0.288907i 0.745759 0.666216i \(-0.232087\pi\)
−0.296211 + 0.955122i \(0.595723\pi\)
\(464\) −0.878986 + 0.351893i −0.0408059 + 0.0163362i
\(465\) −3.39449 4.76690i −0.157416 0.221060i
\(466\) 5.86195 + 2.34677i 0.271549 + 0.108712i
\(467\) 0.418121 + 1.72352i 0.0193483 + 0.0797549i 0.980667 0.195683i \(-0.0626923\pi\)
−0.961319 + 0.275438i \(0.911177\pi\)
\(468\) −2.70146 4.20355i −0.124875 0.194309i
\(469\) −27.9700 + 3.60464i −1.29154 + 0.166447i
\(470\) −2.69053 9.16309i −0.124105 0.422662i
\(471\) −3.48940 + 18.1047i −0.160783 + 0.834221i
\(472\) −10.2173 + 3.53625i −0.470291 + 0.162769i
\(473\) −3.47684 + 14.3317i −0.159865 + 0.658973i
\(474\) −5.78103 + 8.11833i −0.265532 + 0.372887i
\(475\) −0.214925 + 0.138124i −0.00986144 + 0.00633756i
\(476\) 3.86042 1.91922i 0.176942 0.0879673i
\(477\) −9.05842 + 1.30240i −0.414756 + 0.0596330i
\(478\) 15.0145 1.43371i 0.686746 0.0655763i
\(479\) 29.9665 + 23.5660i 1.36921 + 1.07676i 0.988363 + 0.152117i \(0.0486089\pi\)
0.380844 + 0.924639i \(0.375633\pi\)
\(480\) −1.01760 1.97387i −0.0464468 0.0900943i
\(481\) −6.97212 + 20.1446i −0.317901 + 0.918515i
\(482\) 10.4654 0.476684
\(483\) −8.58266 + 9.10753i −0.390524 + 0.414407i
\(484\) −3.40938 −0.154972
\(485\) −10.5516 + 30.4870i −0.479125 + 1.38434i
\(486\) 7.35455 + 14.2658i 0.333609 + 0.647111i
\(487\) 21.7708 + 17.1208i 0.986531 + 0.775816i 0.974563 0.224112i \(-0.0719482\pi\)
0.0119672 + 0.999928i \(0.496191\pi\)
\(488\) 13.7458 1.31256i 0.622242 0.0594169i
\(489\) −8.56519 + 1.23149i −0.387331 + 0.0556898i
\(490\) 5.58868 14.7375i 0.252471 0.665771i
\(491\) 21.0610 13.5351i 0.950468 0.610829i 0.0291239 0.999576i \(-0.490728\pi\)
0.921345 + 0.388747i \(0.127092\pi\)
\(492\) 2.22900 3.13019i 0.100491 0.141120i
\(493\) 0.363728 1.49931i 0.0163815 0.0675254i
\(494\) 8.51023 2.94542i 0.382893 0.132521i
\(495\) 3.27925 17.0144i 0.147391 0.764738i
\(496\) −0.742412 2.52842i −0.0333353 0.113530i
\(497\) −16.4145 + 12.5242i −0.736292 + 0.561788i
\(498\) −1.38544 2.15579i −0.0620832 0.0966034i
\(499\) 6.33534 + 26.1146i 0.283609 + 1.16905i 0.918172 + 0.396181i \(0.129665\pi\)
−0.634564 + 0.772871i \(0.718820\pi\)
\(500\) 10.3056 + 4.12575i 0.460882 + 0.184509i
\(501\) 13.2962 + 18.6719i 0.594031 + 0.834200i
\(502\) 10.9280 4.37490i 0.487739 0.195261i
\(503\) 11.8601 + 7.62204i 0.528817 + 0.339850i 0.777651 0.628696i \(-0.216411\pi\)
−0.248834 + 0.968546i \(0.580047\pi\)
\(504\) −5.33134 0.587913i −0.237477 0.0261877i
\(505\) 0.511168i 0.0227467i
\(506\) −7.11096 16.7586i −0.316121 0.745010i
\(507\) 5.91477 + 3.41490i 0.262684 + 0.151661i
\(508\) 18.0200 3.47307i 0.799507 0.154092i
\(509\) −3.66551 0.174610i −0.162471 0.00773943i −0.0338111 0.999428i \(-0.510764\pi\)
−0.128660 + 0.991689i \(0.541067\pi\)
\(510\) 3.58179 + 0.514983i 0.158604 + 0.0228038i
\(511\) 4.29891 + 3.83657i 0.190173 + 0.169720i
\(512\) −0.142315 0.989821i −0.00628949 0.0437443i
\(513\) −17.6052 + 4.27098i −0.777289 + 0.188568i
\(514\) 12.1477 0.578667i 0.535812 0.0255239i
\(515\) −6.34808 0.606168i −0.279730 0.0267110i
\(516\) 2.77312 + 2.64416i 0.122080 + 0.116403i
\(517\) −10.5432 + 12.1675i −0.463688 + 0.535125i
\(518\) 12.0881 + 19.4287i 0.531120 + 0.853647i
\(519\) 6.95572 2.04238i 0.305322 0.0896507i
\(520\) 4.52074 + 3.21921i 0.198248 + 0.141172i
\(521\) −0.856473 17.9796i −0.0375228 0.787700i −0.936704 0.350123i \(-0.886140\pi\)
0.899181 0.437577i \(-0.144163\pi\)
\(522\) −1.38916 + 1.32456i −0.0608020 + 0.0579746i
\(523\) 22.4621 17.6644i 0.982201 0.772411i 0.00843521 0.999964i \(-0.497315\pi\)
0.973766 + 0.227553i \(0.0730725\pi\)
\(524\) −0.178499 0.0815179i −0.00779778 0.00356113i
\(525\) 0.150162 0.103653i 0.00655361 0.00452377i
\(526\) −12.2897 + 19.1231i −0.535856 + 0.833808i
\(527\) 4.05777 + 1.40441i 0.176759 + 0.0611769i
\(528\) −1.87192 + 3.24227i −0.0814651 + 0.141102i
\(529\) 15.9816 16.5406i 0.694850 0.719154i
\(530\) 8.80268 5.08223i 0.382364 0.220758i
\(531\) −16.5652 + 14.3538i −0.718866 + 0.622901i
\(532\) 3.29500 9.08785i 0.142856 0.394008i
\(533\) −1.36669 + 9.50557i −0.0591981 + 0.411732i
\(534\) −0.140618 1.47262i −0.00608514 0.0637265i
\(535\) −8.29305 + 20.7150i −0.358540 + 0.895590i
\(536\) −7.35563 7.71436i −0.317715 0.333210i
\(537\) 9.40069 18.2348i 0.405670 0.786889i
\(538\) 23.0229 10.5142i 0.992589 0.453300i
\(539\) −25.9950 + 5.50632i −1.11968 + 0.237174i
\(540\) −8.43736 7.31102i −0.363086 0.314616i
\(541\) −5.82195 1.12209i −0.250305 0.0482424i 0.0625552 0.998042i \(-0.480075\pi\)
−0.312860 + 0.949799i \(0.601287\pi\)
\(542\) −18.5017 4.48846i −0.794715 0.192796i
\(543\) −2.48648 + 26.0396i −0.106705 + 1.11746i
\(544\) 1.44833 + 0.746667i 0.0620967 + 0.0320131i
\(545\) 9.18192 31.2707i 0.393310 1.33949i
\(546\) −6.00527 + 2.30279i −0.257002 + 0.0985502i
\(547\) 18.2119 39.8784i 0.778683 1.70508i 0.0721545 0.997393i \(-0.477013\pi\)
0.706529 0.707685i \(-0.250260\pi\)
\(548\) 6.80993 + 17.0104i 0.290906 + 0.726648i
\(549\) 24.8814 12.8272i 1.06191 0.547453i
\(550\) 0.0502331 + 0.260634i 0.00214195 + 0.0111135i
\(551\) −1.72967 2.99587i −0.0736864 0.127629i
\(552\) −4.69465 0.577066i −0.199818 0.0245616i
\(553\) −18.1645 19.6173i −0.772435 0.834210i
\(554\) −10.3033 11.8907i −0.437747 0.505187i
\(555\) −0.913876 + 19.1846i −0.0387919 + 0.814342i
\(556\) 5.58200 7.09809i 0.236729 0.301026i
\(557\) −6.24226 + 4.44509i −0.264493 + 0.188345i −0.704608 0.709597i \(-0.748877\pi\)
0.440115 + 0.897941i \(0.354938\pi\)
\(558\) −3.30233 4.19925i −0.139799 0.177769i
\(559\) −9.18783 2.69779i −0.388604 0.114104i
\(560\) 5.73994 1.59456i 0.242557 0.0673824i
\(561\) −2.53424 5.54920i −0.106996 0.234288i
\(562\) −9.77773 + 10.2546i −0.412449 + 0.432564i
\(563\) −7.45249 21.5326i −0.314085 0.907489i −0.985983 0.166846i \(-0.946642\pi\)
0.671898 0.740644i \(-0.265479\pi\)
\(564\) 1.36815 + 3.95300i 0.0576094 + 0.166452i
\(565\) −0.0469302 + 0.0492190i −0.00197437 + 0.00207066i
\(566\) −0.289198 0.633255i −0.0121559 0.0266177i
\(567\) −3.03777 + 0.843895i −0.127574 + 0.0354403i
\(568\) −7.48767 2.19858i −0.314176 0.0922503i
\(569\) −19.1917 24.4042i −0.804558 1.02308i −0.999110 0.0421868i \(-0.986568\pi\)
0.194551 0.980892i \(-0.437675\pi\)
\(570\) 6.60936 4.70650i 0.276836 0.197134i
\(571\) 8.21817 10.4503i 0.343920 0.437330i −0.583067 0.812424i \(-0.698147\pi\)
0.926987 + 0.375095i \(0.122390\pi\)
\(572\) 0.445187 9.34562i 0.0186142 0.390760i
\(573\) −13.4937 15.5725i −0.563707 0.650552i
\(574\) 7.00372 + 7.56384i 0.292329 + 0.315709i
\(575\) −0.278336 + 0.187044i −0.0116074 + 0.00780029i
\(576\) −1.01364 1.75567i −0.0422348 0.0731529i
\(577\) −0.500250 2.59554i −0.0208257 0.108054i 0.970028 0.242992i \(-0.0781287\pi\)
−0.990854 + 0.134938i \(0.956917\pi\)
\(578\) 12.7502 6.57318i 0.530338 0.273408i
\(579\) 4.07422 + 10.1769i 0.169319 + 0.422938i
\(580\) 0.885614 1.93922i 0.0367731 0.0805219i
\(581\) 6.41865 2.46130i 0.266291 0.102112i
\(582\) 3.98120 13.5587i 0.165026 0.562027i
\(583\) −15.2310 7.85211i −0.630802 0.325201i
\(584\) −0.207014 + 2.16795i −0.00856629 + 0.0897103i
\(585\) 10.9338 + 2.65252i 0.452059 + 0.109668i
\(586\) 15.5656 + 3.00003i 0.643011 + 0.123930i
\(587\) −20.0038 17.3334i −0.825645 0.715425i 0.135707 0.990749i \(-0.456669\pi\)
−0.961352 + 0.275324i \(0.911215\pi\)
\(588\) −2.13803 + 6.56449i −0.0881709 + 0.270715i
\(589\) 8.75800 3.99965i 0.360867 0.164803i
\(590\) 11.1554 21.6385i 0.459262 0.890844i
\(591\) 3.24557 + 3.40386i 0.133505 + 0.140016i
\(592\) −3.21438 + 8.02914i −0.132110 + 0.329996i
\(593\) 1.75642 + 18.3940i 0.0721274 + 0.755352i 0.957109 + 0.289727i \(0.0935644\pi\)
−0.884982 + 0.465625i \(0.845829\pi\)
\(594\) −2.67856 + 18.6298i −0.109903 + 0.764389i
\(595\) −3.30881 + 9.12593i −0.135648 + 0.374127i
\(596\) 5.44049 4.71421i 0.222851 0.193102i
\(597\) −10.0320 + 5.79197i −0.410582 + 0.237050i
\(598\) 11.0890 4.09425i 0.453461 0.167426i
\(599\) −12.3490 + 21.3891i −0.504567 + 0.873935i 0.495419 + 0.868654i \(0.335014\pi\)
−0.999986 + 0.00528129i \(0.998319\pi\)
\(600\) 0.0651713 + 0.0225560i 0.00266061 + 0.000920845i
\(601\) −19.0773 + 29.6849i −0.778180 + 1.21087i 0.194995 + 0.980804i \(0.437531\pi\)
−0.973175 + 0.230067i \(0.926105\pi\)
\(602\) −8.45920 + 5.83915i −0.344771 + 0.237986i
\(603\) −19.6562 8.97667i −0.800461 0.365558i
\(604\) −14.0073 + 11.0154i −0.569948 + 0.448212i
\(605\) 5.55592 5.29755i 0.225880 0.215376i
\(606\) 0.0106537 + 0.223649i 0.000432777 + 0.00908510i
\(607\) 29.5337 + 21.0308i 1.19873 + 0.853615i 0.992179 0.124820i \(-0.0398352\pi\)
0.206555 + 0.978435i \(0.433775\pi\)
\(608\) 3.50569 1.02936i 0.142174 0.0417462i
\(609\) 1.30517 + 2.09774i 0.0528881 + 0.0850047i
\(610\) −20.3606 + 23.4974i −0.824376 + 0.951381i
\(611\) −7.56582 7.21400i −0.306080 0.291847i
\(612\) 3.28842 + 0.314006i 0.132927 + 0.0126930i
\(613\) 14.6975 0.700128i 0.593627 0.0282779i 0.251381 0.967888i \(-0.419115\pi\)
0.342246 + 0.939610i \(0.388812\pi\)
\(614\) −23.4395 + 5.68636i −0.945941 + 0.229483i
\(615\) 1.23137 + 8.56440i 0.0496538 + 0.345350i
\(616\) −7.49310 6.68724i −0.301906 0.269436i
\(617\) −20.9045 3.00561i −0.841583 0.121001i −0.291977 0.956425i \(-0.594313\pi\)
−0.549606 + 0.835424i \(0.685222\pi\)
\(618\) 2.79008 + 0.132908i 0.112233 + 0.00534633i
\(619\) −22.1360 + 4.26636i −0.889720 + 0.171479i −0.613575 0.789637i \(-0.710269\pi\)
−0.276145 + 0.961116i \(0.589057\pi\)
\(620\) 5.13854 + 2.96674i 0.206369 + 0.119147i
\(621\) −22.9889 + 6.07845i −0.922512 + 0.243920i
\(622\) 29.7125i 1.19136i
\(623\) 3.94449 + 0.434977i 0.158032 + 0.0174270i
\(624\) −2.04503 1.31426i −0.0818668 0.0526126i
\(625\) −23.5292 + 9.41969i −0.941169 + 0.376787i
\(626\) −4.47773 6.28810i −0.178966 0.251323i
\(627\) −12.6990 5.08392i −0.507150 0.203032i
\(628\) −4.40742 18.1676i −0.175875 0.724967i
\(629\) −7.61911 11.8556i −0.303794 0.472713i
\(630\) 9.60144 7.32586i 0.382530 0.291869i
\(631\) 0.206724 + 0.704036i 0.00822954 + 0.0280272i 0.963505 0.267689i \(-0.0862599\pi\)
−0.955276 + 0.295716i \(0.904442\pi\)
\(632\) 1.91240 9.92246i 0.0760711 0.394694i
\(633\) −1.22467 + 0.423861i −0.0486761 + 0.0168470i
\(634\) −4.18547 + 17.2528i −0.166226 + 0.685195i
\(635\) −23.9688 + 33.6594i −0.951171 + 1.33573i
\(636\) −3.74547 + 2.40706i −0.148517 + 0.0954463i
\(637\) −2.76815 17.0299i −0.109678 0.674750i
\(638\) −3.55747 + 0.511487i −0.140842 + 0.0202500i
\(639\) −15.7488 + 1.50382i −0.623011 + 0.0594903i
\(640\) 1.76992 + 1.39188i 0.0699621 + 0.0550188i
\(641\) 11.9618 + 23.2027i 0.472464 + 0.916453i 0.997847 + 0.0655867i \(0.0208919\pi\)
−0.525383 + 0.850866i \(0.676078\pi\)
\(642\) 3.19668 9.23619i 0.126163 0.364523i
\(643\) 29.4402 1.16101 0.580505 0.814257i \(-0.302855\pi\)
0.580505 + 0.814257i \(0.302855\pi\)
\(644\) 4.07967 12.0148i 0.160761 0.473451i
\(645\) −8.62760 −0.339711
\(646\) −1.94722 + 5.62614i −0.0766125 + 0.221357i
\(647\) −8.09964 15.7111i −0.318430 0.617667i 0.674242 0.738511i \(-0.264471\pi\)
−0.992672 + 0.120843i \(0.961440\pi\)
\(648\) −0.936701 0.736630i −0.0367971 0.0289376i
\(649\) −40.8561 + 3.90129i −1.60374 + 0.153139i
\(650\) −0.170594 + 0.0245277i −0.00669124 + 0.000962055i
\(651\) −6.15732 + 3.06113i −0.241324 + 0.119975i
\(652\) 7.38094 4.74344i 0.289060 0.185767i
\(653\) 2.60671 3.66062i 0.102009 0.143251i −0.760417 0.649436i \(-0.775005\pi\)
0.862425 + 0.506185i \(0.168945\pi\)
\(654\) −3.36558 + 13.8731i −0.131604 + 0.542481i
\(655\) 0.417546 0.144514i 0.0163149 0.00564663i
\(656\) −0.737365 + 3.82581i −0.0287892 + 0.149373i
\(657\) 1.24385 + 4.23617i 0.0485273 + 0.165269i
\(658\) −11.1294 + 1.43430i −0.433869 + 0.0559148i
\(659\) 0.792828 + 1.23367i 0.0308842 + 0.0480568i 0.856352 0.516392i \(-0.172725\pi\)
−0.825468 + 0.564449i \(0.809089\pi\)
\(660\) −1.98741 8.19221i −0.0773598 0.318881i
\(661\) 37.3504 + 14.9528i 1.45276 + 0.581598i 0.957830 0.287334i \(-0.0927690\pi\)
0.494931 + 0.868932i \(0.335193\pi\)
\(662\) 17.8433 + 25.0574i 0.693498 + 0.973882i
\(663\) 3.67739 1.47221i 0.142818 0.0571758i
\(664\) 2.18581 + 1.40473i 0.0848257 + 0.0545142i
\(665\) 8.75133 + 19.9293i 0.339362 + 0.772826i
\(666\) 17.5332i 0.679398i
\(667\) −2.35047 3.88504i −0.0910105 0.150429i
\(668\) −20.1276 11.6207i −0.778761 0.449618i
\(669\) 10.9770 2.11564i 0.424394 0.0817952i
\(670\) 23.9734 + 1.14199i 0.926173 + 0.0441191i
\(671\) 51.8824 + 7.45956i 2.00290 + 0.287973i
\(672\) −2.47813 + 0.817290i −0.0955960 + 0.0315276i
\(673\) −0.935876 6.50916i −0.0360754 0.250910i 0.963801 0.266622i \(-0.0859075\pi\)
−0.999877 + 0.0157123i \(0.994998\pi\)
\(674\) 5.77521 1.40105i 0.222453 0.0539665i
\(675\) 0.346310 0.0164968i 0.0133295 0.000634961i
\(676\) −6.89352 0.658251i −0.265135 0.0253173i
\(677\) −3.35466 3.19866i −0.128930 0.122935i 0.622871 0.782325i \(-0.285966\pi\)
−0.751801 + 0.659390i \(0.770815\pi\)
\(678\) 0.0195073 0.0225126i 0.000749173 0.000864592i
\(679\) 33.4362 + 17.8615i 1.28316 + 0.685463i
\(680\) −3.52038 + 1.03368i −0.135000 + 0.0396397i
\(681\) −17.7246 12.6217i −0.679210 0.483663i
\(682\) −0.475962 9.99168i −0.0182255 0.382601i
\(683\) −1.99020 + 1.89765i −0.0761528 + 0.0726115i −0.727200 0.686426i \(-0.759179\pi\)
0.651047 + 0.759037i \(0.274330\pi\)
\(684\) 5.82231 4.57872i 0.222622 0.175072i
\(685\) −37.5284 17.1387i −1.43389 0.654835i
\(686\) −16.0732 9.20062i −0.613679 0.351281i
\(687\) 11.3472 17.6566i 0.432924 0.673642i
\(688\) −3.67135 1.27067i −0.139969 0.0484437i
\(689\) 5.56328 9.63589i 0.211944 0.367098i
\(690\) 8.54703 6.35424i 0.325380 0.241902i
\(691\) −8.89063 + 5.13301i −0.338215 + 0.195269i −0.659483 0.751720i \(-0.729225\pi\)
0.321267 + 0.946989i \(0.395891\pi\)
\(692\) −5.55498 + 4.81342i −0.211169 + 0.182979i
\(693\) −19.1410 6.93999i −0.727106 0.263628i
\(694\) 0.787745 5.47888i 0.0299024 0.207976i
\(695\) 1.93272 + 20.2404i 0.0733124 + 0.767762i
\(696\) −0.347061 + 0.866917i −0.0131553 + 0.0328604i
\(697\) −4.38116 4.59483i −0.165948 0.174041i
\(698\) 11.9056 23.0937i 0.450635 0.874109i
\(699\) 5.66478 2.58702i 0.214262 0.0978500i
\(700\) −0.0948355 + 0.158846i −0.00358444 + 0.00600383i
\(701\) −24.1464 20.9229i −0.911996 0.790249i 0.0662276 0.997805i \(-0.478904\pi\)
−0.978223 + 0.207556i \(0.933449\pi\)
\(702\) −12.0001 2.31283i −0.452915 0.0872923i
\(703\) −30.7088 7.44987i −1.15820 0.280977i
\(704\) 0.360830 3.77878i 0.0135993 0.142418i
\(705\) −8.37177 4.31595i −0.315299 0.162548i
\(706\) 3.33764 11.3670i 0.125614 0.427801i
\(707\) −0.593209 0.0941687i −0.0223099 0.00354158i
\(708\) −4.42979 + 9.69989i −0.166482 + 0.364544i
\(709\) 12.5309 + 31.3006i 0.470607 + 1.17552i 0.953917 + 0.300071i \(0.0970102\pi\)
−0.483310 + 0.875449i \(0.660566\pi\)
\(710\) 15.6181 8.05167i 0.586136 0.302174i
\(711\) −3.87695 20.1155i −0.145397 0.754391i
\(712\) 0.749956 + 1.29896i 0.0281058 + 0.0486807i
\(713\) 11.3858 5.48440i 0.426400 0.205393i
\(714\) 1.25748 4.06178i 0.0470601 0.152008i
\(715\) 13.7959 + 15.9213i 0.515937 + 0.595424i
\(716\) −0.989751 + 20.7774i −0.0369887 + 0.776489i
\(717\) 9.19553 11.6931i 0.343413 0.436685i
\(718\) −6.75546 + 4.81054i −0.252111 + 0.179528i
\(719\) −3.00651 3.82309i −0.112124 0.142577i 0.726752 0.686900i \(-0.241029\pi\)
−0.838876 + 0.544323i \(0.816787\pi\)
\(720\) 4.37980 + 1.28603i 0.163226 + 0.0479274i
\(721\) −1.87292 + 7.25526i −0.0697510 + 0.270200i
\(722\) −2.34733 5.13994i −0.0873587 0.191289i
\(723\) 7.12276 7.47014i 0.264898 0.277817i
\(724\) −8.67455 25.0635i −0.322387 0.931476i
\(725\) 0.0216535 + 0.0625637i 0.000804191 + 0.00232356i
\(726\) −2.32044 + 2.43361i −0.0861196 + 0.0903196i
\(727\) −3.10296 6.79453i −0.115082 0.251995i 0.843322 0.537408i \(-0.180597\pi\)
−0.958405 + 0.285413i \(0.907869\pi\)
\(728\) 4.56870 4.65326i 0.169327 0.172461i
\(729\) 11.7583 + 3.45255i 0.435492 + 0.127872i
\(730\) −3.03124 3.85454i −0.112191 0.142663i
\(731\) 5.15670 3.67207i 0.190727 0.135816i
\(732\) 8.41853 10.7050i 0.311158 0.395669i
\(733\) 1.81003 37.9973i 0.0668552 1.40346i −0.677423 0.735593i \(-0.736903\pi\)
0.744279 0.667869i \(-0.232793\pi\)
\(734\) −4.86520 5.61474i −0.179578 0.207244i
\(735\) −6.71588 14.0196i −0.247719 0.517119i
\(736\) 4.57291 1.44515i 0.168560 0.0532690i
\(737\) −20.2308 35.0408i −0.745212 1.29075i
\(738\) 1.49484 + 7.75596i 0.0550258 + 0.285501i
\(739\) −38.3037 + 19.7469i −1.40902 + 0.726402i −0.983898 0.178732i \(-0.942800\pi\)
−0.425126 + 0.905134i \(0.639770\pi\)
\(740\) −7.23766 18.0788i −0.266062 0.664590i
\(741\) 3.68966 8.07924i 0.135543 0.296798i
\(742\) −4.27626 11.1517i −0.156986 0.409393i
\(743\) −8.86856 + 30.2035i −0.325356 + 1.10806i 0.620698 + 0.784050i \(0.286849\pi\)
−0.946054 + 0.324010i \(0.894969\pi\)
\(744\) −2.31007 1.19092i −0.0846913 0.0436614i
\(745\) −1.54078 + 16.1358i −0.0564498 + 0.591169i
\(746\) 10.2758 + 2.49289i 0.376225 + 0.0912711i
\(747\) 5.17222 + 0.996863i 0.189242 + 0.0364733i
\(748\) 4.67463 + 4.05059i 0.170921 + 0.148104i
\(749\) 22.5120 + 13.4402i 0.822570 + 0.491096i
\(750\) 9.95900 4.54812i 0.363651 0.166074i
\(751\) 13.6276 26.4338i 0.497277 0.964583i −0.497970 0.867194i \(-0.665921\pi\)
0.995246 0.0973881i \(-0.0310488\pi\)
\(752\) −2.92684 3.06958i −0.106731 0.111936i
\(753\) 4.31483 10.7779i 0.157241 0.392770i
\(754\) −0.221829 2.32310i −0.00807855 0.0846024i
\(755\) 5.71022 39.7154i 0.207816 1.44539i
\(756\) −10.0388 + 8.44468i −0.365106 + 0.307130i
\(757\) −5.16956 + 4.47945i −0.187891 + 0.162808i −0.743727 0.668484i \(-0.766944\pi\)
0.555836 + 0.831292i \(0.312398\pi\)
\(758\) 24.8557 14.3504i 0.902798 0.521231i
\(759\) −16.8020 6.33018i −0.609873 0.229771i
\(760\) −4.11341 + 7.12464i −0.149209 + 0.258438i
\(761\) −35.7201 12.3628i −1.29485 0.448152i −0.409175 0.912456i \(-0.634183\pi\)
−0.885676 + 0.464303i \(0.846305\pi\)
\(762\) 9.78540 15.2264i 0.354488 0.551594i
\(763\) −34.5981 16.4164i −1.25253 0.594312i
\(764\) 19.0043 + 8.67897i 0.687551 + 0.313994i
\(765\) −5.84671 + 4.59790i −0.211388 + 0.166238i
\(766\) −21.8053 + 20.7913i −0.787858 + 0.751221i
\(767\) −1.26802 26.6190i −0.0457854 0.961155i
\(768\) −0.803391 0.572092i −0.0289899 0.0206436i
\(769\) 13.0730 3.83858i 0.471425 0.138423i −0.0373864 0.999301i \(-0.511903\pi\)
0.508811 + 0.860878i \(0.330085\pi\)
\(770\) 22.6015 0.745409i 0.814500 0.0268627i
\(771\) 7.85473 9.06484i 0.282881 0.326462i
\(772\) −8.04413 7.67006i −0.289515 0.276052i
\(773\) −28.3103 2.70330i −1.01825 0.0972310i −0.427441 0.904043i \(-0.640585\pi\)
−0.590808 + 0.806812i \(0.701191\pi\)
\(774\) −7.86708 + 0.374755i −0.282776 + 0.0134703i
\(775\) −0.179068 + 0.0434415i −0.00643233 + 0.00156047i
\(776\) 2.03907 + 14.1820i 0.0731982 + 0.509105i
\(777\) 22.0953 + 4.59479i 0.792666 + 0.164837i
\(778\) −36.9504 5.31267i −1.32474 0.190468i
\(779\) −14.2194 0.677356i −0.509464 0.0242688i
\(780\) 5.37470 1.03589i 0.192445 0.0370907i
\(781\) −25.6542 14.8115i −0.917979 0.529996i
\(782\) −2.40406 + 7.43569i −0.0859691 + 0.265900i
\(783\) 4.69450i 0.167768i
\(784\) −0.793054 6.95493i −0.0283233 0.248390i
\(785\) 35.4114 + 22.7576i 1.26389 + 0.812252i
\(786\) −0.179675 + 0.0719309i −0.00640878 + 0.00256569i
\(787\) 9.89482 + 13.8953i 0.352712 + 0.495315i 0.952371 0.304940i \(-0.0986365\pi\)
−0.599659 + 0.800256i \(0.704697\pi\)
\(788\) −4.42708 1.77233i −0.157708 0.0631368i
\(789\) 5.28562 + 21.7876i 0.188173 + 0.775660i
\(790\) 12.3012 + 19.1411i 0.437658 + 0.681010i
\(791\) 0.0484729 + 0.0635296i 0.00172350 + 0.00225885i
\(792\) −2.16806 7.38374i −0.0770388 0.262370i
\(793\) −6.44105 + 33.4194i −0.228729 + 1.18676i
\(794\) 1.09499 0.378979i 0.0388597 0.0134495i
\(795\) 2.36346 9.74231i 0.0838232 0.345524i
\(796\) 6.81289 9.56737i 0.241477 0.339106i
\(797\) 41.4626 26.6464i 1.46868 0.943865i 0.470575 0.882360i \(-0.344046\pi\)
0.998107 0.0615047i \(-0.0195899\pi\)
\(798\) −4.24429 8.53718i −0.150246 0.302213i
\(799\) 6.84074 0.983550i 0.242008 0.0347955i
\(800\) −0.0696078 + 0.00664674i −0.00246101 + 0.000234998i
\(801\) 2.39018 + 1.87966i 0.0844527 + 0.0664144i
\(802\) 9.71409 + 18.8427i 0.343016 + 0.665359i
\(803\) −2.70384 + 7.81222i −0.0954163 + 0.275687i
\(804\) −10.5128 −0.370756
\(805\) 12.0206 + 25.9184i 0.423672 + 0.913503i
\(806\) 6.49510 0.228780
\(807\) 8.16448 23.5897i 0.287403 0.830397i
\(808\) −0.104026 0.201783i −0.00365963 0.00709869i
\(809\) 32.6405 + 25.6687i 1.14758 + 0.902465i 0.996293 0.0860252i \(-0.0274166\pi\)
0.151285 + 0.988490i \(0.451659\pi\)
\(810\) 2.67103 0.255052i 0.0938504 0.00896163i
\(811\) 19.3009 2.77505i 0.677745 0.0974450i 0.205158 0.978729i \(-0.434229\pi\)
0.472587 + 0.881284i \(0.343320\pi\)
\(812\) −2.08731 1.38500i −0.0732504 0.0486040i
\(813\) −15.7962 + 10.1516i −0.553995 + 0.356031i
\(814\) −19.0433 + 26.7426i −0.667467 + 0.937327i
\(815\) −4.65751 + 19.1985i −0.163145 + 0.672494i
\(816\) 1.51871 0.525630i 0.0531654 0.0184007i
\(817\) 2.68636 13.9381i 0.0939837 0.487634i
\(818\) 3.53541 + 12.0405i 0.123613 + 0.420986i
\(819\) 5.09250 12.2000i 0.177946 0.426304i
\(820\) −4.74300 7.38025i −0.165633 0.257730i
\(821\) 3.32311 + 13.6980i 0.115977 + 0.478065i 0.999945 + 0.0105163i \(0.00334751\pi\)
−0.883967 + 0.467548i \(0.845137\pi\)
\(822\) 16.7768 + 6.71643i 0.585159 + 0.234262i
\(823\) −24.4012 34.2667i −0.850574 1.19446i −0.979226 0.202774i \(-0.935004\pi\)
0.128652 0.991690i \(-0.458935\pi\)
\(824\) −2.62926 + 1.05260i −0.0915945 + 0.0366689i
\(825\) 0.220229 + 0.141532i 0.00766738 + 0.00492753i
\(826\) −23.0564 16.9322i −0.802233 0.589145i
\(827\) 20.9490i 0.728469i 0.931307 + 0.364235i \(0.118669\pi\)
−0.931307 + 0.364235i \(0.881331\pi\)
\(828\) 7.51761 6.16537i 0.261255 0.214261i
\(829\) −24.6744 14.2458i −0.856976 0.494776i 0.00602218 0.999982i \(-0.498083\pi\)
−0.862999 + 0.505206i \(0.831416\pi\)
\(830\) −5.74467 + 1.10720i −0.199401 + 0.0384313i
\(831\) −15.5000 0.738357i −0.537690 0.0256133i
\(832\) 2.43969 + 0.350774i 0.0845810 + 0.0121609i
\(833\) 9.98106 + 5.52106i 0.345823 + 0.191293i
\(834\) −1.26746 8.81540i −0.0438886 0.305252i
\(835\) 50.8563 12.3376i 1.75995 0.426960i
\(836\) 13.8536 0.659927i 0.479136 0.0228241i
\(837\) −13.0066 1.24198i −0.449575 0.0429292i
\(838\) −0.620568 0.591710i −0.0214372 0.0204403i
\(839\) −17.1878 + 19.8357i −0.593388 + 0.684806i −0.970428 0.241391i \(-0.922396\pi\)
0.377040 + 0.926197i \(0.376942\pi\)
\(840\) 2.76843 5.18241i 0.0955200 0.178810i
\(841\) 26.9652 7.91769i 0.929833 0.273024i
\(842\) −25.4118 18.0957i −0.875749 0.623618i
\(843\) 0.664931 + 13.9586i 0.0229015 + 0.480761i
\(844\) 0.950974 0.906752i 0.0327339 0.0312117i
\(845\) 12.2564 9.63857i 0.421634 0.331577i
\(846\) −7.82127 3.57186i −0.268901 0.122803i
\(847\) −5.12427 7.42355i −0.176072 0.255076i
\(848\) 2.44058 3.79761i 0.0838097 0.130410i
\(849\) −0.648845 0.224567i −0.0222683 0.00770713i
\(850\) 0.0569699 0.0986747i 0.00195405 0.00338452i
\(851\) −40.5003 8.95066i −1.38833 0.306825i
\(852\) −6.66548 + 3.84832i −0.228356 + 0.131841i
\(853\) −30.7439 + 26.6397i −1.05265 + 0.912126i −0.996271 0.0862835i \(-0.972501\pi\)
−0.0563788 + 0.998409i \(0.517955\pi\)
\(854\) 23.5177 + 27.9571i 0.804761 + 0.956674i
\(855\) −2.37353 + 16.5083i −0.0811729 + 0.564570i
\(856\) 0.941987 + 9.86493i 0.0321964 + 0.337176i
\(857\) −4.09941 + 10.2398i −0.140033 + 0.349786i −0.981762 0.190115i \(-0.939114\pi\)
0.841729 + 0.539901i \(0.181538\pi\)
\(858\) −6.36788 6.67844i −0.217396 0.227998i
\(859\) 8.33959 16.1766i 0.284543 0.551937i −0.702637 0.711549i \(-0.747994\pi\)
0.987180 + 0.159612i \(0.0510243\pi\)
\(860\) 7.95720 3.63393i 0.271338 0.123916i
\(861\) 10.1658 + 0.148749i 0.346450 + 0.00506936i
\(862\) 6.33682 + 5.49088i 0.215833 + 0.187020i
\(863\) 6.08717 + 1.17320i 0.207210 + 0.0399364i 0.291800 0.956479i \(-0.405746\pi\)
−0.0845901 + 0.996416i \(0.526958\pi\)
\(864\) −4.81848 1.16895i −0.163928 0.0397685i
\(865\) 1.57320 16.4753i 0.0534906 0.560178i
\(866\) −26.2055 13.5099i −0.890500 0.459085i
\(867\) 3.98591 13.5748i 0.135369 0.461023i
\(868\) 4.38952 5.41672i 0.148990 0.183855i
\(869\) 15.9347 34.8921i 0.540548 1.18364i
\(870\) −0.781460 1.95199i −0.0264940 0.0661788i
\(871\) 23.3518 12.0387i 0.791245 0.407915i
\(872\) −2.73927 14.2127i −0.0927633 0.481302i
\(873\) 14.5232 + 25.1550i 0.491537 + 0.851367i
\(874\) 7.60419 + 15.7865i 0.257215 + 0.533986i
\(875\) 6.50590 + 28.6403i 0.219939 + 0.968219i
\(876\) 1.40658 + 1.62328i 0.0475239 + 0.0548455i
\(877\) 0.384649 8.07477i 0.0129887 0.272666i −0.983025 0.183469i \(-0.941267\pi\)
0.996014 0.0891961i \(-0.0284298\pi\)
\(878\) −5.69005 + 7.23549i −0.192030 + 0.244186i
\(879\) 12.7355 9.06888i 0.429556 0.305886i
\(880\) 5.28352 + 6.71855i 0.178108 + 0.226482i
\(881\) −0.611797 0.179640i −0.0206120 0.00605222i 0.271410 0.962464i \(-0.412510\pi\)
−0.292022 + 0.956412i \(0.594328\pi\)
\(882\) −6.73284 12.4920i −0.226707 0.420628i
\(883\) 3.39273 + 7.42905i 0.114175 + 0.250007i 0.958089 0.286470i \(-0.0924819\pi\)
−0.843915 + 0.536477i \(0.819755\pi\)
\(884\) −2.77155 + 2.90672i −0.0932174 + 0.0977636i
\(885\) −7.85308 22.6900i −0.263978 0.762715i
\(886\) 2.02576 + 5.85304i 0.0680566 + 0.196637i
\(887\) −31.9387 + 33.4964i −1.07240 + 1.12470i −0.0806167 + 0.996745i \(0.525689\pi\)
−0.991780 + 0.127952i \(0.959160\pi\)
\(888\) 3.54345 + 7.75908i 0.118911 + 0.260378i
\(889\) 34.6461 + 34.0165i 1.16199 + 1.14088i
\(890\) −3.24047 0.951489i −0.108621 0.0318940i
\(891\) −2.79622 3.55569i −0.0936770 0.119120i
\(892\) −9.23290 + 6.57472i −0.309140 + 0.220138i
\(893\) 9.57924 12.1810i 0.320557 0.407621i
\(894\) 0.337830 7.09192i 0.0112987 0.237189i
\(895\) −30.6714 35.3967i −1.02523 1.18318i
\(896\) 1.94133 1.79757i 0.0648552 0.0600525i
\(897\) 4.62473 10.7018i 0.154415 0.357324i
\(898\) 14.9802 + 25.9465i 0.499896 + 0.865846i
\(899\) −0.472181 2.44991i −0.0157481 0.0817090i
\(900\) −0.125998 + 0.0649563i −0.00419992 + 0.00216521i
\(901\) 2.73388 + 6.82889i 0.0910786 + 0.227503i
\(902\) −6.14396 + 13.4534i −0.204571 + 0.447949i
\(903\) −1.58940 + 10.0123i −0.0528919 + 0.333189i
\(904\) −0.00850922 + 0.0289797i −0.000283012 + 0.000963852i
\(905\) 53.0800 + 27.3646i 1.76444 + 0.909632i
\(906\) −1.67062 + 17.4955i −0.0555026 + 0.581249i
\(907\) 5.58823 + 1.35569i 0.185554 + 0.0450149i 0.327459 0.944865i \(-0.393808\pi\)
−0.141905 + 0.989880i \(0.545323\pi\)
\(908\) 21.6636 + 4.17531i 0.718931 + 0.138563i
\(909\) −0.347819 0.301387i −0.0115364 0.00999636i
\(910\) −0.214829 + 14.6819i −0.00712152 + 0.486699i
\(911\) 22.0223 10.0573i 0.729632 0.333212i −0.0157257 0.999876i \(-0.505006\pi\)
0.745358 + 0.666664i \(0.232279\pi\)
\(912\) 1.65123 3.20294i 0.0546776 0.106060i
\(913\) 6.80622 + 7.13816i 0.225253 + 0.236239i
\(914\) 1.20273 3.00427i 0.0397827 0.0993724i
\(915\) 2.91485 + 30.5257i 0.0963621 + 1.00915i
\(916\) −3.02856 + 21.0641i −0.100066 + 0.695976i
\(917\) −0.0907867 0.511183i −0.00299804 0.0168808i
\(918\) 6.10594 5.29083i 0.201526 0.174623i
\(919\) 32.9835 19.0430i 1.08802 0.628171i 0.154975 0.987918i \(-0.450470\pi\)
0.933050 + 0.359747i \(0.117137\pi\)
\(920\) −5.20650 + 9.46048i −0.171653 + 0.311903i
\(921\) −11.8941 + 20.6012i −0.391924 + 0.678833i
\(922\) 34.3719 + 11.8962i 1.13198 + 0.391782i
\(923\) 10.3990 16.1812i 0.342287 0.532609i
\(924\) −9.87316 + 0.797192i −0.324803 + 0.0262257i
\(925\) 0.550102 + 0.251223i 0.0180872 + 0.00826017i
\(926\) −9.03840 + 7.10787i −0.297020 + 0.233579i
\(927\) −4.15531 + 3.96208i −0.136478 + 0.130132i
\(928\) −0.0450509 0.945735i −0.00147887 0.0310453i
\(929\) −0.309092 0.220104i −0.0101410 0.00722136i 0.574975 0.818171i \(-0.305012\pi\)
−0.585116 + 0.810949i \(0.698951\pi\)
\(930\) 5.61495 1.64870i 0.184122 0.0540630i
\(931\) 24.7401 6.48446i 0.810825 0.212520i
\(932\) −4.13495 + 4.77199i −0.135445 + 0.156312i
\(933\) 21.2087 + 20.2224i 0.694341 + 0.662053i
\(934\) −1.76548 0.168583i −0.0577682 0.00551620i
\(935\) −13.9116 + 0.662693i −0.454959 + 0.0216724i
\(936\) 4.85592 1.17803i 0.158721 0.0385053i
\(937\) 2.87318 + 19.9834i 0.0938627 + 0.652830i 0.981383 + 0.192061i \(0.0615171\pi\)
−0.887520 + 0.460769i \(0.847574\pi\)
\(938\) 5.74172 27.6107i 0.187474 0.901521i
\(939\) −7.53599 1.08351i −0.245928 0.0353591i
\(940\) 9.53912 + 0.454404i 0.311132 + 0.0148210i
\(941\) 41.3459 7.96877i 1.34784 0.259774i 0.536277 0.844042i \(-0.319830\pi\)
0.811561 + 0.584268i \(0.198618\pi\)
\(942\) −15.9677 9.21895i −0.520256 0.300370i
\(943\) −18.6788 0.506444i −0.608264 0.0164921i
\(944\) 10.8120i 0.351900i
\(945\) 3.23765 29.3598i 0.105321 0.955074i
\(946\) −12.4063 7.97306i −0.403364 0.259227i
\(947\) 14.9597 5.98897i 0.486125 0.194615i −0.115635 0.993292i \(-0.536890\pi\)
0.601761 + 0.798677i \(0.294466\pi\)
\(948\) −5.78103 8.11833i −0.187759 0.263671i
\(949\) −4.98330 1.99501i −0.161765 0.0647609i
\(950\) −0.0602321 0.248280i −0.00195419 0.00805527i
\(951\) 9.46632 + 14.7299i 0.306966 + 0.477649i
\(952\) 0.551045 + 4.27581i 0.0178595 + 0.138580i
\(953\) 11.0164 + 37.5186i 0.356858 + 1.21535i 0.920965 + 0.389644i \(0.127402\pi\)
−0.564108 + 0.825701i \(0.690780\pi\)
\(954\) 1.73195 8.98619i 0.0560738 0.290939i
\(955\) −44.4548 + 15.3860i −1.43852 + 0.497878i
\(956\) −3.55590 + 14.6576i −0.115006 + 0.474061i
\(957\) −2.05613 + 2.88743i −0.0664653 + 0.0933374i
\(958\) −32.0709 + 20.6107i −1.03617 + 0.665903i
\(959\) −26.8030 + 40.3943i −0.865513 + 1.30440i
\(960\) 2.19813 0.316043i 0.0709443 0.0102003i
\(961\) −23.9470 + 2.28666i −0.772483 + 0.0737632i
\(962\) −16.7563 13.1773i −0.540245 0.424854i
\(963\) 9.20571 + 17.8566i 0.296650 + 0.575421i
\(964\) −3.42288 + 9.88977i −0.110244 + 0.318528i
\(965\) 25.0265 0.805633
\(966\) −5.79951 11.0894i −0.186596 0.356796i
\(967\) 6.19642 0.199263 0.0996317 0.995024i \(-0.468234\pi\)
0.0996317 + 0.995024i \(0.468234\pi\)
\(968\) 1.11510 3.22187i 0.0358407 0.103555i
\(969\) 2.69063 + 5.21909i 0.0864355 + 0.167661i
\(970\) −25.3591 19.9426i −0.814232 0.640319i
\(971\) −17.6737 + 1.68763i −0.567175 + 0.0541587i −0.374705 0.927144i \(-0.622256\pi\)
−0.192470 + 0.981303i \(0.561650\pi\)
\(972\) −15.8867 + 2.28416i −0.509565 + 0.0732644i
\(973\) 23.8450 + 1.48582i 0.764435 + 0.0476332i
\(974\) −23.2997 + 14.9738i −0.746570 + 0.479791i
\(975\) −0.0985990 + 0.138463i −0.00315770 + 0.00443436i
\(976\) −3.25543 + 13.4191i −0.104204 + 0.429534i
\(977\) 13.1721 4.55890i 0.421412 0.145852i −0.108128 0.994137i \(-0.534486\pi\)
0.529540 + 0.848285i \(0.322364\pi\)
\(978\) 1.63764 8.49689i 0.0523660 0.271701i
\(979\) 1.60408 + 5.46299i 0.0512666 + 0.174598i
\(980\) 12.0990 + 10.1015i 0.386490 + 0.322679i
\(981\) −15.8641 24.6851i −0.506503 0.788134i
\(982\) 5.90228 + 24.3295i 0.188349 + 0.776386i
\(983\) −3.86171 1.54599i −0.123169 0.0493096i 0.309259 0.950978i \(-0.399919\pi\)
−0.432428 + 0.901668i \(0.642343\pi\)
\(984\) 2.22900 + 3.13019i 0.0710579 + 0.0997868i
\(985\) 9.96823 3.99068i 0.317614 0.127153i
\(986\) 1.29788 + 0.834098i 0.0413330 + 0.0265631i
\(987\) −6.55091 + 8.92032i −0.208518 + 0.283937i
\(988\) 9.00552i 0.286504i
\(989\) 3.15047 18.3636i 0.100179 0.583929i
\(990\) 15.0060 + 8.66374i 0.476923 + 0.275352i
\(991\) 40.8488 7.87296i 1.29761 0.250093i 0.506748 0.862094i \(-0.330847\pi\)
0.790857 + 0.612001i \(0.209635\pi\)
\(992\) 2.63218 + 0.125386i 0.0835719 + 0.00398102i
\(993\) 30.0301 + 4.31767i 0.952975 + 0.137017i
\(994\) −6.46674 19.6080i −0.205113 0.621929i
\(995\) 3.76367 + 26.1769i 0.119316 + 0.829864i
\(996\) 2.49036 0.604155i 0.0789101 0.0191434i
\(997\) −56.5689 + 2.69471i −1.79155 + 0.0853423i −0.916830 0.399278i \(-0.869261\pi\)
−0.874725 + 0.484620i \(0.838958\pi\)
\(998\) −26.7504 2.55436i −0.846770 0.0808568i
\(999\) 31.0353 + 29.5921i 0.981914 + 0.936253i
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 322.2.o.b.171.6 yes 160
7.5 odd 6 inner 322.2.o.b.33.6 160
23.7 odd 22 inner 322.2.o.b.283.6 yes 160
161.145 even 66 inner 322.2.o.b.145.6 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.o.b.33.6 160 7.5 odd 6 inner
322.2.o.b.145.6 yes 160 161.145 even 66 inner
322.2.o.b.171.6 yes 160 1.1 even 1 trivial
322.2.o.b.283.6 yes 160 23.7 odd 22 inner