Properties

Label 441.2.z.a.382.29
Level $441$
Weight $2$
Character 441.382
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 382.29
Character \(\chi\) \(=\) 441.382
Dual form 441.2.z.a.142.29

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0182644 + 0.0465369i) q^{2} +(0.00478463 + 1.73204i) q^{3} +(1.46427 - 1.35865i) q^{4} +(3.32215 + 1.59986i) q^{5} +(-0.0805165 + 0.0318574i) q^{6} +(1.96730 + 1.76910i) q^{7} +(0.180055 + 0.0867098i) q^{8} +(-2.99995 + 0.0165744i) q^{9} +O(q^{10})\) \(q+(0.0182644 + 0.0465369i) q^{2} +(0.00478463 + 1.73204i) q^{3} +(1.46427 - 1.35865i) q^{4} +(3.32215 + 1.59986i) q^{5} +(-0.0805165 + 0.0318574i) q^{6} +(1.96730 + 1.76910i) q^{7} +(0.180055 + 0.0867098i) q^{8} +(-2.99995 + 0.0165744i) q^{9} +(-0.0137756 + 0.183823i) q^{10} +(-0.0359099 + 0.0450296i) q^{11} +(2.36024 + 2.52968i) q^{12} +(-0.421672 - 1.07440i) q^{13} +(-0.0463968 + 0.123864i) q^{14} +(-2.75514 + 5.76176i) q^{15} +(0.297800 - 3.97387i) q^{16} +(-4.28017 - 3.97141i) q^{17} +(-0.0555636 - 0.139306i) q^{18} +(-3.80751 - 6.59480i) q^{19} +(7.03817 - 2.17099i) q^{20} +(-3.05475 + 3.41592i) q^{21} +(-0.00275141 - 0.000848697i) q^{22} +(1.40452 + 6.15361i) q^{23} +(-0.149324 + 0.312278i) q^{24} +(5.35965 + 6.72079i) q^{25} +(0.0422978 - 0.0392466i) q^{26} +(-0.0430612 - 5.19597i) q^{27} +(5.28425 - 0.0824266i) q^{28} +(-3.42656 + 1.05695i) q^{29} +(-0.318455 - 0.0229804i) q^{30} +(-3.17832 - 5.50502i) q^{31} +(0.572305 - 0.176533i) q^{32} +(-0.0781650 - 0.0619821i) q^{33} +(0.106643 - 0.271721i) q^{34} +(3.70536 + 9.02462i) q^{35} +(-4.37023 + 4.10014i) q^{36} +(-7.11067 + 2.19335i) q^{37} +(0.237360 - 0.297639i) q^{38} +(1.85889 - 0.735495i) q^{39} +(0.459445 + 0.576126i) q^{40} +(1.99416 - 1.35959i) q^{41} +(-0.214759 - 0.0797687i) q^{42} +(5.78265 + 3.94254i) q^{43} +(0.00859740 + 0.114724i) q^{44} +(-9.99280 - 4.74445i) q^{45} +(-0.260717 + 0.177754i) q^{46} +(3.09216 + 7.87870i) q^{47} +(6.88434 + 0.496790i) q^{48} +(0.740572 + 6.96071i) q^{49} +(-0.214874 + 0.372172i) q^{50} +(6.85819 - 7.43244i) q^{51} +(-2.07717 - 1.00031i) q^{52} +(0.957518 + 0.295355i) q^{53} +(0.241018 - 0.0969052i) q^{54} +(-0.191339 + 0.0921440i) q^{55} +(0.200824 + 0.489120i) q^{56} +(11.4043 - 6.62633i) q^{57} +(-0.111771 - 0.140157i) q^{58} +(9.58384 + 6.53415i) q^{59} +(3.79392 + 12.1800i) q^{60} +(-8.17217 - 7.58267i) q^{61} +(0.198136 - 0.248455i) q^{62} +(-5.93114 - 5.27461i) q^{63} +(-4.95056 - 6.20780i) q^{64} +(0.318039 - 4.24394i) q^{65} +(0.00145682 - 0.00476962i) q^{66} +(-2.65785 - 4.60354i) q^{67} -11.6631 q^{68} +(-10.6516 + 2.46213i) q^{69} +(-0.352302 + 0.337265i) q^{70} +(-0.721728 - 3.16210i) q^{71} +(-0.541593 - 0.257141i) q^{72} +(-0.401247 + 0.0604783i) q^{73} +(-0.231944 - 0.290848i) q^{74} +(-11.6151 + 9.31531i) q^{75} +(-14.5352 - 4.48352i) q^{76} +(-0.150307 + 0.0250587i) q^{77} +(0.0681792 + 0.0730738i) q^{78} +(-1.71988 + 2.97892i) q^{79} +(7.34697 - 12.7253i) q^{80} +(8.99945 - 0.0994447i) q^{81} +(0.0996934 + 0.0679698i) q^{82} +(4.73946 - 12.0759i) q^{83} +(0.168050 + 9.15216i) q^{84} +(-7.86563 - 20.0413i) q^{85} +(-0.0778571 + 0.341114i) q^{86} +(-1.84709 - 5.92990i) q^{87} +(-0.0103703 + 0.00499405i) q^{88} +(-0.656784 + 1.67346i) q^{89} +(0.0382795 - 0.551688i) q^{90} +(1.07117 - 2.85966i) q^{91} +(10.4172 + 7.10231i) q^{92} +(9.51973 - 5.53134i) q^{93} +(-0.310174 + 0.287799i) q^{94} +(-2.09834 - 28.0004i) q^{95} +(0.308501 + 0.990413i) q^{96} +(-3.04340 - 5.27133i) q^{97} +(-0.310404 + 0.161597i) q^{98} +(0.106982 - 0.135682i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{17}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0182644 + 0.0465369i 0.0129149 + 0.0329065i 0.937186 0.348831i \(-0.113421\pi\)
−0.924271 + 0.381737i \(0.875326\pi\)
\(3\) 0.00478463 + 1.73204i 0.00276240 + 0.999996i
\(4\) 1.46427 1.35865i 0.732136 0.679323i
\(5\) 3.32215 + 1.59986i 1.48571 + 0.715480i 0.988369 0.152076i \(-0.0485958\pi\)
0.497340 + 0.867556i \(0.334310\pi\)
\(6\) −0.0805165 + 0.0318574i −0.0328707 + 0.0130057i
\(7\) 1.96730 + 1.76910i 0.743571 + 0.668657i
\(8\) 0.180055 + 0.0867098i 0.0636590 + 0.0306566i
\(9\) −2.99995 + 0.0165744i −0.999985 + 0.00552479i
\(10\) −0.0137756 + 0.183823i −0.00435623 + 0.0581299i
\(11\) −0.0359099 + 0.0450296i −0.0108272 + 0.0135769i −0.787216 0.616678i \(-0.788478\pi\)
0.776388 + 0.630255i \(0.217050\pi\)
\(12\) 2.36024 + 2.52968i 0.681343 + 0.730256i
\(13\) −0.421672 1.07440i −0.116951 0.297986i 0.860397 0.509624i \(-0.170215\pi\)
−0.977348 + 0.211638i \(0.932120\pi\)
\(14\) −0.0463968 + 0.123864i −0.0124001 + 0.0331040i
\(15\) −2.75514 + 5.76176i −0.711373 + 1.48768i
\(16\) 0.297800 3.97387i 0.0744501 0.993467i
\(17\) −4.28017 3.97141i −1.03809 0.963210i −0.0387426 0.999249i \(-0.512335\pi\)
−0.999350 + 0.0360397i \(0.988526\pi\)
\(18\) −0.0555636 0.139306i −0.0130965 0.0328347i
\(19\) −3.80751 6.59480i −0.873502 1.51295i −0.858350 0.513065i \(-0.828510\pi\)
−0.0151527 0.999885i \(-0.504823\pi\)
\(20\) 7.03817 2.17099i 1.57378 0.485448i
\(21\) −3.05475 + 3.41592i −0.666600 + 0.745415i
\(22\) −0.00275141 0.000848697i −0.000586602 0.000180943i
\(23\) 1.40452 + 6.15361i 0.292863 + 1.28312i 0.880521 + 0.474007i \(0.157193\pi\)
−0.587659 + 0.809109i \(0.699950\pi\)
\(24\) −0.149324 + 0.312278i −0.0304806 + 0.0637434i
\(25\) 5.35965 + 6.72079i 1.07193 + 1.34416i
\(26\) 0.0422978 0.0392466i 0.00829527 0.00769689i
\(27\) −0.0430612 5.19597i −0.00828713 0.999966i
\(28\) 5.28425 0.0824266i 0.998629 0.0155772i
\(29\) −3.42656 + 1.05695i −0.636297 + 0.196272i −0.596087 0.802920i \(-0.703279\pi\)
−0.0402096 + 0.999191i \(0.512803\pi\)
\(30\) −0.318455 0.0229804i −0.0581417 0.00419564i
\(31\) −3.17832 5.50502i −0.570844 0.988730i −0.996480 0.0838357i \(-0.973283\pi\)
0.425636 0.904894i \(-0.360050\pi\)
\(32\) 0.572305 0.176533i 0.101170 0.0312069i
\(33\) −0.0781650 0.0619821i −0.0136068 0.0107897i
\(34\) 0.106643 0.271721i 0.0182891 0.0465998i
\(35\) 3.70536 + 9.02462i 0.626320 + 1.52544i
\(36\) −4.37023 + 4.10014i −0.728372 + 0.683357i
\(37\) −7.11067 + 2.19335i −1.16899 + 0.360585i −0.817679 0.575675i \(-0.804739\pi\)
−0.351309 + 0.936260i \(0.614263\pi\)
\(38\) 0.237360 0.297639i 0.0385048 0.0482835i
\(39\) 1.85889 0.735495i 0.297661 0.117773i
\(40\) 0.459445 + 0.576126i 0.0726446 + 0.0910934i
\(41\) 1.99416 1.35959i 0.311435 0.212333i −0.397508 0.917599i \(-0.630125\pi\)
0.708943 + 0.705266i \(0.249172\pi\)
\(42\) −0.214759 0.0797687i −0.0331381 0.0123086i
\(43\) 5.78265 + 3.94254i 0.881845 + 0.601232i 0.917325 0.398138i \(-0.130344\pi\)
−0.0354801 + 0.999370i \(0.511296\pi\)
\(44\) 0.00859740 + 0.114724i 0.00129611 + 0.0172953i
\(45\) −9.99280 4.74445i −1.48964 0.707261i
\(46\) −0.260717 + 0.177754i −0.0384406 + 0.0262084i
\(47\) 3.09216 + 7.87870i 0.451038 + 1.14923i 0.957875 + 0.287185i \(0.0927193\pi\)
−0.506837 + 0.862042i \(0.669185\pi\)
\(48\) 6.88434 + 0.496790i 0.993669 + 0.0717054i
\(49\) 0.740572 + 6.96071i 0.105796 + 0.994388i
\(50\) −0.214874 + 0.372172i −0.0303877 + 0.0526331i
\(51\) 6.85819 7.43244i 0.960338 1.04075i
\(52\) −2.07717 1.00031i −0.288052 0.138719i
\(53\) 0.957518 + 0.295355i 0.131525 + 0.0405702i 0.359819 0.933022i \(-0.382838\pi\)
−0.228294 + 0.973592i \(0.573315\pi\)
\(54\) 0.241018 0.0969052i 0.0327984 0.0131871i
\(55\) −0.191339 + 0.0921440i −0.0258001 + 0.0124247i
\(56\) 0.200824 + 0.489120i 0.0268363 + 0.0653614i
\(57\) 11.4043 6.62633i 1.51053 0.877678i
\(58\) −0.111771 0.140157i −0.0146763 0.0184035i
\(59\) 9.58384 + 6.53415i 1.24771 + 0.850674i 0.993203 0.116396i \(-0.0371343\pi\)
0.254507 + 0.967071i \(0.418087\pi\)
\(60\) 3.79392 + 12.1800i 0.489793 + 1.57244i
\(61\) −8.17217 7.58267i −1.04634 0.970861i −0.0467327 0.998907i \(-0.514881\pi\)
−0.999607 + 0.0280464i \(0.991071\pi\)
\(62\) 0.198136 0.248455i 0.0251633 0.0315538i
\(63\) −5.93114 5.27461i −0.747254 0.664539i
\(64\) −4.95056 6.20780i −0.618820 0.775976i
\(65\) 0.318039 4.24394i 0.0394479 0.526396i
\(66\) 0.00145682 0.00476962i 0.000179322 0.000587100i
\(67\) −2.65785 4.60354i −0.324708 0.562412i 0.656745 0.754113i \(-0.271933\pi\)
−0.981453 + 0.191701i \(0.938600\pi\)
\(68\) −11.6631 −1.41436
\(69\) −10.6516 + 2.46213i −1.28230 + 0.296406i
\(70\) −0.352302 + 0.337265i −0.0421081 + 0.0403109i
\(71\) −0.721728 3.16210i −0.0856534 0.375272i 0.913875 0.405997i \(-0.133076\pi\)
−0.999528 + 0.0307249i \(0.990218\pi\)
\(72\) −0.541593 0.257141i −0.0638274 0.0303044i
\(73\) −0.401247 + 0.0604783i −0.0469624 + 0.00707845i −0.172481 0.985013i \(-0.555178\pi\)
0.125519 + 0.992091i \(0.459940\pi\)
\(74\) −0.231944 0.290848i −0.0269629 0.0338104i
\(75\) −11.6151 + 9.31531i −1.34119 + 1.07564i
\(76\) −14.5352 4.48352i −1.66730 0.514295i
\(77\) −0.150307 + 0.0250587i −0.0171291 + 0.00285570i
\(78\) 0.0681792 + 0.0730738i 0.00771977 + 0.00827398i
\(79\) −1.71988 + 2.97892i −0.193502 + 0.335155i −0.946408 0.322972i \(-0.895318\pi\)
0.752906 + 0.658128i \(0.228651\pi\)
\(80\) 7.34697 12.7253i 0.821417 1.42274i
\(81\) 8.99945 0.0994447i 0.999939 0.0110494i
\(82\) 0.0996934 + 0.0679698i 0.0110093 + 0.00750601i
\(83\) 4.73946 12.0759i 0.520223 1.32551i −0.393557 0.919300i \(-0.628756\pi\)
0.913781 0.406208i \(-0.133149\pi\)
\(84\) 0.168050 + 9.15216i 0.0183357 + 0.998582i
\(85\) −7.86563 20.0413i −0.853147 2.17378i
\(86\) −0.0778571 + 0.341114i −0.00839555 + 0.0367833i
\(87\) −1.84709 5.92990i −0.198029 0.635752i
\(88\) −0.0103703 + 0.00499405i −0.00110547 + 0.000532368i
\(89\) −0.656784 + 1.67346i −0.0696190 + 0.177386i −0.961448 0.274986i \(-0.911327\pi\)
0.891829 + 0.452372i \(0.149422\pi\)
\(90\) 0.0382795 0.551688i 0.00403501 0.0581530i
\(91\) 1.07117 2.85966i 0.112289 0.299773i
\(92\) 10.4172 + 7.10231i 1.08606 + 0.740467i
\(93\) 9.51973 5.53134i 0.987150 0.573573i
\(94\) −0.310174 + 0.287799i −0.0319920 + 0.0296842i
\(95\) −2.09834 28.0004i −0.215285 2.87278i
\(96\) 0.308501 + 0.990413i 0.0314862 + 0.101084i
\(97\) −3.04340 5.27133i −0.309011 0.535222i 0.669136 0.743140i \(-0.266665\pi\)
−0.978146 + 0.207918i \(0.933331\pi\)
\(98\) −0.310404 + 0.161597i −0.0313555 + 0.0163238i
\(99\) 0.106982 0.135682i 0.0107521 0.0136365i
\(100\) 16.9792 + 2.55920i 1.69792 + 0.255920i
\(101\) 3.21834 + 1.54987i 0.320237 + 0.154218i 0.587095 0.809518i \(-0.300271\pi\)
−0.266859 + 0.963736i \(0.585986\pi\)
\(102\) 0.471143 + 0.183410i 0.0466501 + 0.0181603i
\(103\) 13.5000 + 6.50125i 1.33019 + 0.640588i 0.957786 0.287482i \(-0.0928180\pi\)
0.372408 + 0.928069i \(0.378532\pi\)
\(104\) 0.0172372 0.230014i 0.00169025 0.0225548i
\(105\) −15.6133 + 6.46102i −1.52370 + 0.630531i
\(106\) 0.00374356 + 0.0499544i 0.000363607 + 0.00485200i
\(107\) −6.08686 + 15.5091i −0.588439 + 1.49932i 0.257629 + 0.966244i \(0.417059\pi\)
−0.846068 + 0.533075i \(0.821037\pi\)
\(108\) −7.12254 7.54981i −0.685367 0.726481i
\(109\) 0.764226 + 1.94722i 0.0731996 + 0.186510i 0.962791 0.270248i \(-0.0871058\pi\)
−0.889591 + 0.456758i \(0.849011\pi\)
\(110\) −0.00778278 0.00722137i −0.000742059 0.000688530i
\(111\) −3.83300 12.3055i −0.363813 1.16799i
\(112\) 7.61603 7.29097i 0.719647 0.688932i
\(113\) −15.7159 + 2.36879i −1.47843 + 0.222837i −0.838206 0.545354i \(-0.816395\pi\)
−0.640220 + 0.768191i \(0.721157\pi\)
\(114\) 0.516660 + 0.409693i 0.0483897 + 0.0383713i
\(115\) −5.17889 + 22.6902i −0.482934 + 2.11587i
\(116\) −3.58139 + 6.20315i −0.332524 + 0.575948i
\(117\) 1.28280 + 3.21617i 0.118595 + 0.297335i
\(118\) −0.129036 + 0.565345i −0.0118787 + 0.0520442i
\(119\) −1.39456 15.3850i −0.127839 1.41034i
\(120\) −0.995677 + 0.798535i −0.0908924 + 0.0728960i
\(121\) 2.44699 + 10.7210i 0.222454 + 0.974634i
\(122\) 0.203614 0.518800i 0.0184343 0.0469700i
\(123\) 2.36442 + 3.44747i 0.213193 + 0.310848i
\(124\) −12.1333 3.74263i −1.08960 0.336098i
\(125\) 2.95070 + 12.9279i 0.263919 + 1.15630i
\(126\) 0.137135 0.372354i 0.0122170 0.0331720i
\(127\) 2.91698 12.7801i 0.258840 1.13405i −0.663654 0.748040i \(-0.730995\pi\)
0.922494 0.386012i \(-0.126148\pi\)
\(128\) 0.797386 1.38111i 0.0704796 0.122074i
\(129\) −6.80099 + 10.0347i −0.598794 + 0.883503i
\(130\) 0.203308 0.0627123i 0.0178313 0.00550024i
\(131\) −2.96297 + 1.42689i −0.258876 + 0.124668i −0.558821 0.829288i \(-0.688746\pi\)
0.299945 + 0.953957i \(0.403032\pi\)
\(132\) −0.198666 + 0.0154400i −0.0172917 + 0.00134388i
\(133\) 4.17633 19.7098i 0.362134 1.70906i
\(134\) 0.165690 0.207769i 0.0143135 0.0179485i
\(135\) 8.16978 17.3307i 0.703143 1.49159i
\(136\) −0.426304 1.08621i −0.0365553 0.0931413i
\(137\) 4.79568 2.30948i 0.409723 0.197312i −0.217657 0.976025i \(-0.569842\pi\)
0.627380 + 0.778713i \(0.284127\pi\)
\(138\) −0.309125 0.450723i −0.0263145 0.0383681i
\(139\) 8.64950 5.89713i 0.733641 0.500188i −0.137939 0.990441i \(-0.544048\pi\)
0.871580 + 0.490253i \(0.163095\pi\)
\(140\) 17.6869 + 8.18023i 1.49482 + 0.691356i
\(141\) −13.6315 + 5.39346i −1.14798 + 0.454211i
\(142\) 0.133972 0.0913407i 0.0112427 0.00766514i
\(143\) 0.0635221 + 0.0195940i 0.00531198 + 0.00163853i
\(144\) −0.827523 + 11.9264i −0.0689602 + 0.993863i
\(145\) −13.0745 1.97067i −1.08578 0.163655i
\(146\) −0.0101430 0.0175682i −0.000839441 0.00145395i
\(147\) −12.0527 + 1.31601i −0.994092 + 0.108543i
\(148\) −7.43197 + 12.8725i −0.610904 + 1.05812i
\(149\) −11.3252 + 14.2013i −0.927794 + 1.16342i 0.0584783 + 0.998289i \(0.481375\pi\)
−0.986272 + 0.165128i \(0.947196\pi\)
\(150\) −0.645647 0.370390i −0.0527169 0.0302422i
\(151\) −1.00861 4.41902i −0.0820796 0.359614i 0.917164 0.398511i \(-0.130473\pi\)
−0.999243 + 0.0388965i \(0.987616\pi\)
\(152\) −0.113726 1.51757i −0.00922443 0.123091i
\(153\) 12.9061 + 11.8431i 1.04340 + 0.957460i
\(154\) −0.00391143 0.00653716i −0.000315192 0.000526779i
\(155\) −1.75159 23.3733i −0.140691 1.87739i
\(156\) 1.72265 3.60254i 0.137922 0.288434i
\(157\) −1.63595 1.11537i −0.130563 0.0890166i 0.496277 0.868164i \(-0.334700\pi\)
−0.626841 + 0.779147i \(0.715652\pi\)
\(158\) −0.170042 0.0256298i −0.0135279 0.00203900i
\(159\) −0.506987 + 1.65988i −0.0402067 + 0.131637i
\(160\) 2.18371 + 0.329141i 0.172637 + 0.0260209i
\(161\) −8.12322 + 14.5908i −0.640200 + 1.14991i
\(162\) 0.168997 + 0.416990i 0.0132777 + 0.0327618i
\(163\) 14.5238 + 9.90215i 1.13759 + 0.775596i 0.977381 0.211487i \(-0.0678306\pi\)
0.160210 + 0.987083i \(0.448783\pi\)
\(164\) 1.07278 4.70017i 0.0837703 0.367022i
\(165\) −0.160513 0.330967i −0.0124959 0.0257657i
\(166\) 0.648540 0.0503365
\(167\) −4.92005 4.56514i −0.380725 0.353261i 0.466476 0.884534i \(-0.345523\pi\)
−0.847201 + 0.531273i \(0.821714\pi\)
\(168\) −0.846216 + 0.350177i −0.0652870 + 0.0270167i
\(169\) 8.55314 7.93616i 0.657934 0.610473i
\(170\) 0.788998 0.732084i 0.0605134 0.0561482i
\(171\) 11.5317 + 19.7210i 0.881848 + 1.50810i
\(172\) 13.8239 2.08361i 1.05406 0.158874i
\(173\) −2.97350 0.917203i −0.226071 0.0697336i 0.179650 0.983731i \(-0.442503\pi\)
−0.405721 + 0.913997i \(0.632980\pi\)
\(174\) 0.242223 0.194264i 0.0183629 0.0147271i
\(175\) −1.34568 + 22.7036i −0.101724 + 1.71623i
\(176\) 0.168248 + 0.156111i 0.0126821 + 0.0117673i
\(177\) −11.2716 + 16.6309i −0.847225 + 1.25006i
\(178\) −0.0898734 −0.00673629
\(179\) −0.789290 0.732354i −0.0589943 0.0547387i 0.650125 0.759828i \(-0.274717\pi\)
−0.709119 + 0.705089i \(0.750907\pi\)
\(180\) −21.0782 + 6.62952i −1.57108 + 0.494135i
\(181\) 3.25239 + 4.07837i 0.241748 + 0.303143i 0.887873 0.460090i \(-0.152183\pi\)
−0.646124 + 0.763232i \(0.723611\pi\)
\(182\) 0.152644 0.00238102i 0.0113147 0.000176493i
\(183\) 13.0944 14.1908i 0.967967 1.04902i
\(184\) −0.280688 + 1.22977i −0.0206926 + 0.0906600i
\(185\) −27.1317 4.08945i −1.99477 0.300663i
\(186\) 0.431283 + 0.341992i 0.0316232 + 0.0250761i
\(187\) 0.332531 0.0501211i 0.0243171 0.00366521i
\(188\) 15.2321 + 7.33540i 1.11092 + 0.534989i
\(189\) 9.10748 10.2982i 0.662472 0.749087i
\(190\) 1.26472 0.609059i 0.0917528 0.0441858i
\(191\) −5.35544 + 3.65128i −0.387506 + 0.264197i −0.741366 0.671101i \(-0.765822\pi\)
0.353859 + 0.935299i \(0.384869\pi\)
\(192\) 10.7285 8.60429i 0.774263 0.620961i
\(193\) 0.785321 + 10.4794i 0.0565286 + 0.754322i 0.951392 + 0.307982i \(0.0996537\pi\)
−0.894863 + 0.446340i \(0.852727\pi\)
\(194\) 0.189725 0.237908i 0.0136215 0.0170808i
\(195\) 7.35221 + 0.530552i 0.526503 + 0.0379936i
\(196\) 10.5415 + 9.18620i 0.752967 + 0.656157i
\(197\) 0.0871450 0.00620882 0.00310441 0.999995i \(-0.499012\pi\)
0.00310441 + 0.999995i \(0.499012\pi\)
\(198\) 0.00826816 + 0.00250045i 0.000587593 + 0.000177699i
\(199\) −8.19565 + 5.58770i −0.580974 + 0.396102i −0.817844 0.575440i \(-0.804831\pi\)
0.236870 + 0.971541i \(0.423879\pi\)
\(200\) 0.382272 + 1.67484i 0.0270307 + 0.118429i
\(201\) 7.96081 4.62555i 0.561512 0.326261i
\(202\) −0.0133452 + 0.178079i −0.000938962 + 0.0125296i
\(203\) −8.61095 3.98258i −0.604370 0.279522i
\(204\) −0.0558034 20.2010i −0.00390702 1.41435i
\(205\) 8.80005 1.32639i 0.614622 0.0926394i
\(206\) −0.0559791 + 0.746989i −0.00390025 + 0.0520452i
\(207\) −4.31549 18.4373i −0.299947 1.28148i
\(208\) −4.39511 + 1.35571i −0.304746 + 0.0940016i
\(209\) 0.433688 + 0.0653680i 0.0299988 + 0.00452160i
\(210\) −0.585843 0.608588i −0.0404270 0.0419966i
\(211\) 13.8888 2.09340i 0.956143 0.144115i 0.347606 0.937641i \(-0.386995\pi\)
0.608537 + 0.793525i \(0.291757\pi\)
\(212\) 1.80335 0.868447i 0.123855 0.0596452i
\(213\) 5.47344 1.26519i 0.375034 0.0866897i
\(214\) −0.832917 −0.0569370
\(215\) 12.9033 + 22.3491i 0.879996 + 1.52420i
\(216\) 0.442789 0.939294i 0.0301280 0.0639109i
\(217\) 3.48620 16.4528i 0.236658 1.11689i
\(218\) −0.0766593 + 0.0711294i −0.00519202 + 0.00481749i
\(219\) −0.106671 0.694688i −0.00720815 0.0469427i
\(220\) −0.154981 + 0.394886i −0.0104488 + 0.0266232i
\(221\) −2.46207 + 6.27326i −0.165617 + 0.421985i
\(222\) 0.502652 0.403128i 0.0337358 0.0270562i
\(223\) 0.800124 0.742406i 0.0535803 0.0497152i −0.652928 0.757420i \(-0.726460\pi\)
0.706508 + 0.707705i \(0.250269\pi\)
\(224\) 1.43820 + 0.665171i 0.0960939 + 0.0444436i
\(225\) −16.1901 20.0732i −1.07934 1.33821i
\(226\) −0.397277 0.688104i −0.0264265 0.0457720i
\(227\) −1.02235 −0.0678556 −0.0339278 0.999424i \(-0.510802\pi\)
−0.0339278 + 0.999424i \(0.510802\pi\)
\(228\) 7.69611 25.1971i 0.509687 1.66872i
\(229\) −12.2656 + 5.90680i −0.810533 + 0.390332i −0.792778 0.609510i \(-0.791366\pi\)
−0.0177547 + 0.999842i \(0.505652\pi\)
\(230\) −1.15052 + 0.173413i −0.0758631 + 0.0114345i
\(231\) −0.0441219 0.260219i −0.00290301 0.0171212i
\(232\) −0.708618 0.106807i −0.0465230 0.00701222i
\(233\) 13.0477 4.02469i 0.854785 0.263666i 0.163762 0.986500i \(-0.447637\pi\)
0.691022 + 0.722834i \(0.257161\pi\)
\(234\) −0.126241 + 0.118439i −0.00825262 + 0.00774260i
\(235\) −2.33221 + 31.1212i −0.152137 + 2.03012i
\(236\) 22.9110 3.45327i 1.49138 0.224789i
\(237\) −5.16786 2.96466i −0.335688 0.192575i
\(238\) 0.690500 0.345897i 0.0447585 0.0224211i
\(239\) −0.255322 + 3.40703i −0.0165154 + 0.220383i 0.982839 + 0.184464i \(0.0590548\pi\)
−0.999355 + 0.0359188i \(0.988564\pi\)
\(240\) 22.0760 + 12.6644i 1.42500 + 0.817483i
\(241\) −0.454773 1.99249i −0.0292945 0.128347i 0.958166 0.286212i \(-0.0923962\pi\)
−0.987461 + 0.157865i \(0.949539\pi\)
\(242\) −0.454228 + 0.309687i −0.0291989 + 0.0199075i
\(243\) 0.215302 + 15.5870i 0.0138116 + 0.999905i
\(244\) −22.2684 −1.42559
\(245\) −8.67589 + 24.3093i −0.554282 + 1.55307i
\(246\) −0.117250 + 0.172999i −0.00747557 + 0.0110300i
\(247\) −5.47995 + 6.87164i −0.348681 + 0.437232i
\(248\) −0.0949333 1.26680i −0.00602827 0.0804417i
\(249\) 20.9388 + 8.15118i 1.32694 + 0.516560i
\(250\) −0.547729 + 0.373436i −0.0346414 + 0.0236181i
\(251\) 24.6975 11.8937i 1.55889 0.750722i 0.561823 0.827258i \(-0.310100\pi\)
0.997067 + 0.0765362i \(0.0243861\pi\)
\(252\) −15.8511 + 0.334859i −0.998528 + 0.0210941i
\(253\) −0.327530 0.157730i −0.0205917 0.00991642i
\(254\) 0.648024 0.0976739i 0.0406606 0.00612860i
\(255\) 34.6748 13.7195i 2.17142 0.859149i
\(256\) −15.6240 2.35493i −0.976497 0.147183i
\(257\) 3.56965 15.6397i 0.222669 0.975576i −0.732791 0.680454i \(-0.761783\pi\)
0.955460 0.295122i \(-0.0953602\pi\)
\(258\) −0.591198 0.133220i −0.0368064 0.00829391i
\(259\) −17.8691 8.26450i −1.11033 0.513531i
\(260\) −5.30031 6.64638i −0.328711 0.412191i
\(261\) 10.2620 3.22761i 0.635203 0.199784i
\(262\) −0.120520 0.111826i −0.00744575 0.00690865i
\(263\) 3.96728 0.244633 0.122317 0.992491i \(-0.460968\pi\)
0.122317 + 0.992491i \(0.460968\pi\)
\(264\) −0.00869954 0.0179378i −0.000535420 0.00110400i
\(265\) 2.70849 + 2.51311i 0.166381 + 0.154379i
\(266\) 0.993512 0.165635i 0.0609162 0.0101557i
\(267\) −2.90165 1.12957i −0.177578 0.0691287i
\(268\) −10.1464 3.12975i −0.619790 0.191180i
\(269\) −18.0239 + 2.71666i −1.09893 + 0.165638i −0.673381 0.739296i \(-0.735159\pi\)
−0.425553 + 0.904933i \(0.639920\pi\)
\(270\) 0.955732 + 0.0636621i 0.0581640 + 0.00387435i
\(271\) −1.84662 + 1.71341i −0.112174 + 0.104082i −0.734266 0.678862i \(-0.762473\pi\)
0.622092 + 0.782944i \(0.286283\pi\)
\(272\) −17.0565 + 15.8261i −1.03420 + 0.959600i
\(273\) 4.95818 + 1.84163i 0.300082 + 0.111460i
\(274\) 0.195066 + 0.180995i 0.0117844 + 0.0109343i
\(275\) −0.495099 −0.0298556
\(276\) −12.2517 + 18.0770i −0.737464 + 1.08811i
\(277\) 4.51436 19.7787i 0.271242 1.18839i −0.637308 0.770609i \(-0.719952\pi\)
0.908549 0.417778i \(-0.137191\pi\)
\(278\) 0.432412 + 0.294813i 0.0259343 + 0.0176817i
\(279\) 9.62607 + 16.4621i 0.576297 + 0.985561i
\(280\) −0.115356 + 1.94622i −0.00689383 + 0.116309i
\(281\) −1.14061 0.171920i −0.0680433 0.0102559i 0.114932 0.993373i \(-0.463335\pi\)
−0.182976 + 0.983117i \(0.558573\pi\)
\(282\) −0.499965 0.535858i −0.0297725 0.0319099i
\(283\) 26.7412 + 4.03059i 1.58960 + 0.239594i 0.883469 0.468489i \(-0.155201\pi\)
0.706130 + 0.708082i \(0.250439\pi\)
\(284\) −5.35298 3.64960i −0.317641 0.216564i
\(285\) 48.4878 3.76838i 2.87217 0.223220i
\(286\) 0.000248349 0.00331399i 1.46852e−5 0.000195960i
\(287\) 6.32838 + 0.853130i 0.373552 + 0.0503587i
\(288\) −1.71396 + 0.539076i −0.100996 + 0.0317653i
\(289\) 1.27728 + 17.0442i 0.0751344 + 1.00260i
\(290\) −0.147089 0.644441i −0.00863739 0.0378429i
\(291\) 9.11561 5.29653i 0.534366 0.310488i
\(292\) −0.505366 + 0.633709i −0.0295743 + 0.0370850i
\(293\) 4.12819 7.15024i 0.241172 0.417721i −0.719877 0.694102i \(-0.755802\pi\)
0.961048 + 0.276381i \(0.0891350\pi\)
\(294\) −0.281378 0.536860i −0.0164103 0.0313103i
\(295\) 21.3852 + 37.0402i 1.24509 + 2.15657i
\(296\) −1.47050 0.221642i −0.0854709 0.0128827i
\(297\) 0.235519 + 0.184648i 0.0136662 + 0.0107144i
\(298\) −0.867732 0.267660i −0.0502664 0.0155051i
\(299\) 6.01920 4.10382i 0.348099 0.237330i
\(300\) −4.35140 + 29.4209i −0.251228 + 1.69862i
\(301\) 4.40148 + 17.9863i 0.253697 + 1.03671i
\(302\) 0.187226 0.127648i 0.0107736 0.00734533i
\(303\) −2.66904 + 5.58172i −0.153333 + 0.320661i
\(304\) −27.3407 + 13.1666i −1.56810 + 0.755156i
\(305\) −15.0179 38.2651i −0.859924 2.19105i
\(306\) −0.315419 + 0.816918i −0.0180313 + 0.0467001i
\(307\) 7.02713 8.81174i 0.401060 0.502913i −0.539761 0.841818i \(-0.681485\pi\)
0.940820 + 0.338906i \(0.110057\pi\)
\(308\) −0.186045 + 0.240907i −0.0106009 + 0.0137270i
\(309\) −11.1959 + 23.4137i −0.636911 + 1.33196i
\(310\) 1.05573 0.508413i 0.0599615 0.0288759i
\(311\) −32.6501 + 10.0712i −1.85142 + 0.571086i −0.852593 + 0.522575i \(0.824971\pi\)
−0.998823 + 0.0485107i \(0.984552\pi\)
\(312\) 0.398478 + 0.0287551i 0.0225594 + 0.00162793i
\(313\) 3.44657 5.96963i 0.194812 0.337423i −0.752027 0.659132i \(-0.770924\pi\)
0.946839 + 0.321709i \(0.104257\pi\)
\(314\) 0.0220264 0.0965038i 0.00124302 0.00544602i
\(315\) −11.2655 27.0120i −0.634738 1.52196i
\(316\) 1.52893 + 6.69867i 0.0860089 + 0.376829i
\(317\) 6.66226 + 2.05504i 0.374190 + 0.115422i 0.476145 0.879367i \(-0.342034\pi\)
−0.101955 + 0.994789i \(0.532510\pi\)
\(318\) −0.0865053 + 0.00672303i −0.00485098 + 0.000377009i
\(319\) 0.0754533 0.192252i 0.00422457 0.0107640i
\(320\) −6.51485 28.5434i −0.364191 1.59563i
\(321\) −26.8915 10.4685i −1.50094 0.584295i
\(322\) −0.827374 0.111538i −0.0461077 0.00621579i
\(323\) −9.89391 + 43.3480i −0.550512 + 2.41195i
\(324\) 13.0425 12.3727i 0.724585 0.687371i
\(325\) 4.96082 8.59239i 0.275177 0.476620i
\(326\) −0.195547 + 0.856748i −0.0108304 + 0.0474509i
\(327\) −3.36901 + 1.33299i −0.186307 + 0.0737145i
\(328\) 0.476948 0.0718884i 0.0263351 0.00396937i
\(329\) −7.85498 + 20.9701i −0.433059 + 1.15612i
\(330\) 0.0124705 0.0135147i 0.000686478 0.000743958i
\(331\) 15.4769 + 14.3605i 0.850688 + 0.789323i 0.979309 0.202371i \(-0.0648647\pi\)
−0.128621 + 0.991694i \(0.541055\pi\)
\(332\) −9.46708 24.1217i −0.519573 1.32385i
\(333\) 21.2953 6.69781i 1.16698 0.367038i
\(334\) 0.122586 0.312343i 0.00670758 0.0170906i
\(335\) −1.46476 19.5458i −0.0800282 1.06790i
\(336\) 12.6647 + 13.1564i 0.690917 + 0.717742i
\(337\) −0.328199 + 4.37951i −0.0178781 + 0.238567i 0.981105 + 0.193477i \(0.0619765\pi\)
−0.998983 + 0.0450901i \(0.985643\pi\)
\(338\) 0.525542 + 0.253088i 0.0285857 + 0.0137661i
\(339\) −4.17804 27.2093i −0.226920 1.47780i
\(340\) −38.7464 18.6593i −2.10132 1.01194i
\(341\) 0.362022 + 0.0545660i 0.0196046 + 0.00295491i
\(342\) −0.707135 + 0.896839i −0.0382375 + 0.0484955i
\(343\) −10.8573 + 15.0040i −0.586237 + 0.810139i
\(344\) 0.699336 + 1.21129i 0.0377057 + 0.0653082i
\(345\) −39.3252 8.86151i −2.11720 0.477088i
\(346\) −0.0116253 0.155129i −0.000624982 0.00833981i
\(347\) 11.4252 10.6011i 0.613338 0.569095i −0.311123 0.950370i \(-0.600705\pi\)
0.924462 + 0.381275i \(0.124515\pi\)
\(348\) −10.7613 6.17345i −0.576865 0.330932i
\(349\) 17.5732 + 11.9812i 0.940670 + 0.641338i 0.933477 0.358636i \(-0.116758\pi\)
0.00719231 + 0.999974i \(0.497711\pi\)
\(350\) −1.08113 + 0.352043i −0.0577890 + 0.0188175i
\(351\) −5.56441 + 2.23726i −0.297006 + 0.119416i
\(352\) −0.0126022 + 0.0321099i −0.000671700 + 0.00171146i
\(353\) −25.0625 + 12.0695i −1.33394 + 0.642393i −0.958670 0.284521i \(-0.908165\pi\)
−0.375273 + 0.926914i \(0.622451\pi\)
\(354\) −0.979819 0.220791i −0.0520768 0.0117349i
\(355\) 2.66123 11.6596i 0.141243 0.618828i
\(356\) 1.31193 + 3.34274i 0.0695320 + 0.177165i
\(357\) 26.6409 2.48906i 1.40998 0.131735i
\(358\) 0.0196656 0.0501071i 0.00103936 0.00264824i
\(359\) −19.2710 13.1387i −1.01708 0.693436i −0.0645646 0.997914i \(-0.520566\pi\)
−0.952520 + 0.304477i \(0.901518\pi\)
\(360\) −1.38786 1.72074i −0.0731468 0.0906907i
\(361\) −19.4942 + 33.7650i −1.02601 + 1.77711i
\(362\) −0.130392 + 0.225845i −0.00685323 + 0.0118701i
\(363\) −18.5575 + 4.28959i −0.974016 + 0.225145i
\(364\) −2.31678 5.64265i −0.121432 0.295755i
\(365\) −1.42976 0.441022i −0.0748370 0.0230842i
\(366\) 0.899559 + 0.350186i 0.0470207 + 0.0183045i
\(367\) 1.59656 + 2.00203i 0.0833399 + 0.104505i 0.821753 0.569843i \(-0.192996\pi\)
−0.738413 + 0.674348i \(0.764425\pi\)
\(368\) 24.8719 3.74883i 1.29654 0.195421i
\(369\) −5.95985 + 4.11177i −0.310257 + 0.214050i
\(370\) −0.305234 1.33732i −0.0158684 0.0695239i
\(371\) 1.36122 + 2.27500i 0.0706708 + 0.118112i
\(372\) 6.42434 21.0333i 0.333087 1.09053i
\(373\) −8.94687 −0.463251 −0.231626 0.972805i \(-0.574404\pi\)
−0.231626 + 0.972805i \(0.574404\pi\)
\(374\) 0.00840596 + 0.0145595i 0.000434662 + 0.000752856i
\(375\) −22.3775 + 5.17260i −1.15557 + 0.267112i
\(376\) −0.126402 + 1.68672i −0.00651869 + 0.0869859i
\(377\) 2.58048 + 3.23582i 0.132901 + 0.166653i
\(378\) 0.645591 + 0.235743i 0.0332056 + 0.0121253i
\(379\) −6.90075 + 8.65327i −0.354468 + 0.444488i −0.926812 0.375525i \(-0.877463\pi\)
0.572345 + 0.820013i \(0.306034\pi\)
\(380\) −41.1151 38.1492i −2.10916 1.95702i
\(381\) 22.1497 + 4.99119i 1.13476 + 0.255706i
\(382\) −0.267733 0.182537i −0.0136984 0.00933942i
\(383\) −15.6349 19.6055i −0.798904 1.00179i −0.999754 0.0221721i \(-0.992942\pi\)
0.200850 0.979622i \(-0.435630\pi\)
\(384\) 2.39596 + 1.37450i 0.122269 + 0.0701421i
\(385\) −0.539434 0.157222i −0.0274921 0.00801280i
\(386\) −0.473334 + 0.227946i −0.0240921 + 0.0116021i
\(387\) −17.4130 11.7316i −0.885153 0.596351i
\(388\) −11.6182 3.58375i −0.589826 0.181937i
\(389\) 11.3517 + 5.46670i 0.575555 + 0.277173i 0.698933 0.715187i \(-0.253658\pi\)
−0.123378 + 0.992360i \(0.539373\pi\)
\(390\) 0.109593 + 0.351839i 0.00554947 + 0.0178161i
\(391\) 18.4269 31.9164i 0.931890 1.61408i
\(392\) −0.470219 + 1.31753i −0.0237496 + 0.0665451i
\(393\) −2.48562 5.12518i −0.125383 0.258531i
\(394\) 0.00159165 + 0.00405546i 8.01861e−5 + 0.000204311i
\(395\) −10.4796 + 7.14485i −0.527284 + 0.359496i
\(396\) −0.0276933 0.344025i −0.00139164 0.0172879i
\(397\) −0.262914 3.50834i −0.0131953 0.176079i −0.999908 0.0136011i \(-0.995670\pi\)
0.986712 0.162478i \(-0.0519485\pi\)
\(398\) −0.409723 0.279344i −0.0205375 0.0140023i
\(399\) 34.1583 + 7.13928i 1.71005 + 0.357411i
\(400\) 28.3036 19.2971i 1.41518 0.964854i
\(401\) −14.1096 17.6929i −0.704599 0.883539i 0.292759 0.956186i \(-0.405427\pi\)
−0.997358 + 0.0726471i \(0.976855\pi\)
\(402\) 0.360658 + 0.285989i 0.0179880 + 0.0142638i
\(403\) −4.57439 + 5.73611i −0.227867 + 0.285736i
\(404\) 6.81825 2.10315i 0.339220 0.104636i
\(405\) 30.0566 + 14.0675i 1.49352 + 0.699020i
\(406\) 0.0280632 0.473466i 0.00139275 0.0234977i
\(407\) 0.156578 0.398954i 0.00776127 0.0197754i
\(408\) 1.87932 0.743575i 0.0930400 0.0368124i
\(409\) 15.8786 4.89790i 0.785147 0.242186i 0.123841 0.992302i \(-0.460479\pi\)
0.661306 + 0.750116i \(0.270003\pi\)
\(410\) 0.222454 + 0.385301i 0.0109862 + 0.0190287i
\(411\) 4.02306 + 8.29528i 0.198443 + 0.409176i
\(412\) 28.6006 8.82210i 1.40905 0.434634i
\(413\) 7.29477 + 29.8094i 0.358952 + 1.46683i
\(414\) 0.779193 0.537574i 0.0382952 0.0264203i
\(415\) 35.0650 32.5356i 1.72127 1.59711i
\(416\) −0.430992 0.540447i −0.0211311 0.0264976i
\(417\) 10.2555 + 14.9531i 0.502213 + 0.732257i
\(418\) 0.00487902 + 0.0213764i 0.000238641 + 0.00104555i
\(419\) 0.606834 + 0.187184i 0.0296458 + 0.00914451i 0.309543 0.950886i \(-0.399824\pi\)
−0.279897 + 0.960030i \(0.590300\pi\)
\(420\) −14.0839 + 30.6737i −0.687224 + 1.49672i
\(421\) −19.4021 + 5.98476i −0.945601 + 0.291679i −0.728948 0.684569i \(-0.759990\pi\)
−0.216653 + 0.976249i \(0.569514\pi\)
\(422\) 0.351090 + 0.608106i 0.0170908 + 0.0296021i
\(423\) −9.40693 23.5845i −0.457380 1.14672i
\(424\) 0.146796 + 0.136206i 0.00712902 + 0.00661477i
\(425\) 3.75084 50.0515i 0.181942 2.42785i
\(426\) 0.158847 + 0.231609i 0.00769617 + 0.0112215i
\(427\) −2.66265 29.3748i −0.128855 1.42155i
\(428\) 12.1585 + 30.9794i 0.587704 + 1.49744i
\(429\) −0.0336337 + 0.110117i −0.00162385 + 0.00531649i
\(430\) −0.804388 + 1.00867i −0.0387911 + 0.0486424i
\(431\) −0.199833 + 2.66659i −0.00962562 + 0.128445i −0.999946 0.0103525i \(-0.996705\pi\)
0.990321 + 0.138797i \(0.0443237\pi\)
\(432\) −20.6609 1.37624i −0.994050 0.0662145i
\(433\) −24.3040 11.7042i −1.16798 0.562467i −0.253590 0.967312i \(-0.581611\pi\)
−0.914386 + 0.404844i \(0.867326\pi\)
\(434\) 0.829336 0.138264i 0.0398094 0.00663687i
\(435\) 3.35073 22.6551i 0.160655 1.08623i
\(436\) 3.76461 + 1.81294i 0.180292 + 0.0868242i
\(437\) 35.2341 32.6924i 1.68547 1.56389i
\(438\) 0.0303804 0.0176522i 0.00145163 0.000843454i
\(439\) 12.6959 + 32.3485i 0.605941 + 1.54391i 0.823172 + 0.567792i \(0.192202\pi\)
−0.217232 + 0.976120i \(0.569703\pi\)
\(440\) −0.0424413 −0.00202331
\(441\) −2.33705 20.8696i −0.111288 0.993788i
\(442\) −0.336906 −0.0160250
\(443\) 5.39695 + 13.7512i 0.256417 + 0.653340i 0.999881 0.0154362i \(-0.00491369\pi\)
−0.743464 + 0.668776i \(0.766818\pi\)
\(444\) −22.3314 12.8109i −1.05980 0.607979i
\(445\) −4.85924 + 4.50871i −0.230350 + 0.213733i
\(446\) 0.0491630 + 0.0236757i 0.00232794 + 0.00112108i
\(447\) −24.6515 19.5477i −1.16598 0.924576i
\(448\) 1.24297 20.9707i 0.0587248 0.990771i
\(449\) 11.3863 + 5.48336i 0.537354 + 0.258776i 0.682819 0.730587i \(-0.260754\pi\)
−0.145465 + 0.989363i \(0.546468\pi\)
\(450\) 0.638443 1.12006i 0.0300965 0.0528002i
\(451\) −0.0103881 + 0.138619i −0.000489155 + 0.00652732i
\(452\) −19.7940 + 24.8209i −0.931030 + 1.16748i
\(453\) 7.64911 1.76810i 0.359386 0.0830727i
\(454\) −0.0186725 0.0475769i −0.000876346 0.00223289i
\(455\) 8.13363 7.78647i 0.381310 0.365036i
\(456\) 2.62796 0.204240i 0.123066 0.00956443i
\(457\) −1.67412 + 22.3396i −0.0783121 + 1.04500i 0.810202 + 0.586151i \(0.199358\pi\)
−0.888514 + 0.458850i \(0.848261\pi\)
\(458\) −0.498907 0.462918i −0.0233124 0.0216307i
\(459\) −20.4511 + 22.4107i −0.954574 + 1.04604i
\(460\) 23.2447 + 40.2609i 1.08379 + 1.87718i
\(461\) −24.6749 + 7.61120i −1.14922 + 0.354489i −0.810123 0.586261i \(-0.800599\pi\)
−0.339102 + 0.940750i \(0.610123\pi\)
\(462\) 0.0113039 0.00680604i 0.000525907 0.000316646i
\(463\) −6.06415 1.87054i −0.281825 0.0869315i 0.150620 0.988592i \(-0.451873\pi\)
−0.432445 + 0.901660i \(0.642349\pi\)
\(464\) 3.17977 + 13.9315i 0.147617 + 0.646752i
\(465\) 40.4753 3.14566i 1.87700 0.145877i
\(466\) 0.425605 + 0.533692i 0.0197158 + 0.0247228i
\(467\) 4.37534 4.05972i 0.202466 0.187861i −0.572422 0.819959i \(-0.693996\pi\)
0.774889 + 0.632097i \(0.217806\pi\)
\(468\) 6.24801 + 2.96647i 0.288814 + 0.137125i
\(469\) 2.91531 13.7586i 0.134616 0.635311i
\(470\) −1.49088 + 0.459876i −0.0687692 + 0.0212125i
\(471\) 1.92405 2.83888i 0.0886555 0.130809i
\(472\) 1.15904 + 2.00752i 0.0533492 + 0.0924036i
\(473\) −0.385185 + 0.118814i −0.0177108 + 0.00546307i
\(474\) 0.0435783 0.294644i 0.00200162 0.0135334i
\(475\) 23.9153 60.9353i 1.09731 2.79590i
\(476\) −22.9448 20.6331i −1.05167 0.945718i
\(477\) −2.87741 0.870182i −0.131747 0.0398429i
\(478\) −0.163216 + 0.0503454i −0.00746532 + 0.00230275i
\(479\) −6.88289 + 8.63087i −0.314487 + 0.394354i −0.913803 0.406159i \(-0.866868\pi\)
0.599316 + 0.800513i \(0.295439\pi\)
\(480\) −0.559639 + 3.78385i −0.0255439 + 0.172709i
\(481\) 5.35491 + 6.71485i 0.244163 + 0.306171i
\(482\) 0.0844181 0.0575553i 0.00384514 0.00262157i
\(483\) −25.3107 14.0000i −1.15168 0.637021i
\(484\) 18.1491 + 12.3738i 0.824957 + 0.562446i
\(485\) −1.67723 22.3811i −0.0761593 1.01627i
\(486\) −0.721437 + 0.294706i −0.0327250 + 0.0133681i
\(487\) 8.43582 5.75145i 0.382264 0.260623i −0.356909 0.934139i \(-0.616169\pi\)
0.739172 + 0.673516i \(0.235217\pi\)
\(488\) −0.813947 2.07390i −0.0368457 0.0938812i
\(489\) −17.0815 + 25.2032i −0.772451 + 1.13973i
\(490\) −1.28974 + 0.0402460i −0.0582645 + 0.00181813i
\(491\) 7.94379 13.7590i 0.358498 0.620937i −0.629212 0.777234i \(-0.716622\pi\)
0.987710 + 0.156297i \(0.0499556\pi\)
\(492\) 8.14604 + 1.83562i 0.367252 + 0.0827561i
\(493\) 18.8639 + 9.08436i 0.849586 + 0.409139i
\(494\) −0.419872 0.129513i −0.0188910 0.00582709i
\(495\) 0.572481 0.279599i 0.0257311 0.0125670i
\(496\) −22.8227 + 10.9908i −1.02477 + 0.493503i
\(497\) 4.17421 7.49762i 0.187239 0.336314i
\(498\) 0.00310302 + 1.12330i 0.000139050 + 0.0503363i
\(499\) −15.4487 19.3721i −0.691581 0.867215i 0.304783 0.952422i \(-0.401416\pi\)
−0.996363 + 0.0852072i \(0.972845\pi\)
\(500\) 21.8850 + 14.9209i 0.978727 + 0.667285i
\(501\) 7.88348 8.54358i 0.352208 0.381699i
\(502\) 1.00458 + 0.932112i 0.0448365 + 0.0416022i
\(503\) −19.8403 + 24.8790i −0.884635 + 1.10930i 0.108704 + 0.994074i \(0.465330\pi\)
−0.993340 + 0.115224i \(0.963242\pi\)
\(504\) −0.610571 1.46401i −0.0271970 0.0652121i
\(505\) 8.21221 + 10.2978i 0.365439 + 0.458246i
\(506\) 0.00135814 0.0181231i 6.03766e−5 0.000805670i
\(507\) 13.7867 + 14.7764i 0.612289 + 0.656245i
\(508\) −13.0924 22.6767i −0.580881 1.00612i
\(509\) 9.02335 0.399953 0.199976 0.979801i \(-0.435913\pi\)
0.199976 + 0.979801i \(0.435913\pi\)
\(510\) 1.27178 + 1.36308i 0.0563152 + 0.0603581i
\(511\) −0.896367 0.590867i −0.0396530 0.0261384i
\(512\) −0.885511 3.87968i −0.0391344 0.171459i
\(513\) −34.1024 + 20.0677i −1.50566 + 0.886010i
\(514\) 0.793019 0.119528i 0.0349786 0.00527217i
\(515\) 34.4478 + 43.1962i 1.51795 + 1.90345i
\(516\) 3.67505 + 23.9336i 0.161785 + 1.05362i
\(517\) −0.465814 0.143684i −0.0204865 0.00631924i
\(518\) 0.0582356 0.982519i 0.00255873 0.0431694i
\(519\) 1.57441 5.15462i 0.0691089 0.226263i
\(520\) 0.425256 0.736564i 0.0186487 0.0323005i
\(521\) 21.6450 37.4903i 0.948285 1.64248i 0.199250 0.979949i \(-0.436150\pi\)
0.749036 0.662530i \(-0.230517\pi\)
\(522\) 0.337632 + 0.418612i 0.0147778 + 0.0183221i
\(523\) −25.9311 17.6795i −1.13389 0.773072i −0.157164 0.987572i \(-0.550235\pi\)
−0.976724 + 0.214501i \(0.931188\pi\)
\(524\) −2.39996 + 6.11499i −0.104843 + 0.267135i
\(525\) −39.3301 2.22215i −1.71650 0.0969827i
\(526\) 0.0724600 + 0.184625i 0.00315941 + 0.00805003i
\(527\) −8.25895 + 36.1848i −0.359766 + 1.57624i
\(528\) −0.269586 + 0.292159i −0.0117322 + 0.0127146i
\(529\) −15.1719 + 7.30640i −0.659648 + 0.317670i
\(530\) −0.0674834 + 0.171945i −0.00293129 + 0.00746881i
\(531\) −28.8594 19.4433i −1.25239 0.843768i
\(532\) −20.6634 34.5347i −0.895872 1.49727i
\(533\) −2.30163 1.56923i −0.0996948 0.0679707i
\(534\) −0.000430010 0.155665i −1.86084e−5 0.00673627i
\(535\) −45.0338 + 41.7853i −1.94698 + 1.80653i
\(536\) −0.0793874 1.05935i −0.00342901 0.0457570i
\(537\) 1.26469 1.37059i 0.0545755 0.0591453i
\(538\) −0.455619 0.789156i −0.0196431 0.0340229i
\(539\) −0.340032 0.216611i −0.0146462 0.00933009i
\(540\) −11.5835 36.4767i −0.498473 1.56971i
\(541\) 9.78665 + 1.47510i 0.420761 + 0.0634195i 0.356010 0.934482i \(-0.384137\pi\)
0.0647505 + 0.997901i \(0.479375\pi\)
\(542\) −0.113464 0.0546415i −0.00487370 0.00234705i
\(543\) −7.04835 + 5.65280i −0.302474 + 0.242585i
\(544\) −3.15065 1.51727i −0.135083 0.0650525i
\(545\) −0.576405 + 7.69159i −0.0246905 + 0.329472i
\(546\) 0.00485438 + 0.264374i 0.000207748 + 0.0113142i
\(547\) −1.13883 15.1966i −0.0486927 0.649759i −0.967145 0.254226i \(-0.918179\pi\)
0.918452 0.395532i \(-0.129440\pi\)
\(548\) 3.88442 9.89734i 0.165934 0.422793i
\(549\) 24.6418 + 22.6122i 1.05169 + 0.965065i
\(550\) −0.00904267 0.0230403i −0.000385581 0.000982444i
\(551\) 20.0171 + 18.5731i 0.852756 + 0.791242i
\(552\) −2.13136 0.480279i −0.0907168 0.0204420i
\(553\) −8.65355 + 2.81781i −0.367986 + 0.119825i
\(554\) 1.00289 0.151162i 0.0426088 0.00642224i
\(555\) 6.95330 47.0130i 0.295151 1.99559i
\(556\) 4.65311 20.3866i 0.197336 0.864585i
\(557\) 0.802785 1.39046i 0.0340151 0.0589159i −0.848517 0.529169i \(-0.822504\pi\)
0.882532 + 0.470253i \(0.155837\pi\)
\(558\) −0.590282 + 0.748637i −0.0249886 + 0.0316924i
\(559\) 1.79750 7.87535i 0.0760260 0.333092i
\(560\) 36.9661 12.0371i 1.56210 0.508659i
\(561\) 0.0884029 + 0.575719i 0.00373237 + 0.0243069i
\(562\) −0.0128320 0.0562206i −0.000541284 0.00237152i
\(563\) −11.8316 + 30.1464i −0.498642 + 1.27052i 0.431100 + 0.902304i \(0.358126\pi\)
−0.929741 + 0.368214i \(0.879969\pi\)
\(564\) −12.6324 + 26.4178i −0.531919 + 1.11239i
\(565\) −56.0002 17.2738i −2.35595 0.726713i
\(566\) 0.300840 + 1.31807i 0.0126453 + 0.0554025i
\(567\) 17.8806 + 15.7253i 0.750914 + 0.660400i
\(568\) 0.144234 0.631932i 0.00605194 0.0265153i
\(569\) 8.84258 15.3158i 0.370700 0.642072i −0.618973 0.785412i \(-0.712451\pi\)
0.989673 + 0.143340i \(0.0457844\pi\)
\(570\) 1.06097 + 2.18765i 0.0444391 + 0.0916304i
\(571\) 18.1639 5.60283i 0.760137 0.234471i 0.109631 0.993972i \(-0.465033\pi\)
0.650506 + 0.759501i \(0.274557\pi\)
\(572\) 0.119635 0.0576131i 0.00500218 0.00240892i
\(573\) −6.34980 9.25840i −0.265267 0.386775i
\(574\) 0.0758819 + 0.310085i 0.00316725 + 0.0129427i
\(575\) −33.8293 + 42.4207i −1.41078 + 1.76906i
\(576\) 14.9543 + 18.5411i 0.623098 + 0.772545i
\(577\) 7.60651 + 19.3811i 0.316663 + 0.806844i 0.997245 + 0.0741726i \(0.0236316\pi\)
−0.680582 + 0.732672i \(0.738273\pi\)
\(578\) −0.769854 + 0.370742i −0.0320217 + 0.0154208i
\(579\) −18.1470 + 1.41035i −0.754163 + 0.0586122i
\(580\) −21.8221 + 14.8781i −0.906113 + 0.617778i
\(581\) 30.6875 15.3725i 1.27313 0.637758i
\(582\) 0.412975 + 0.327474i 0.0171184 + 0.0135742i
\(583\) −0.0476841 + 0.0325105i −0.00197487 + 0.00134645i
\(584\) −0.0774906 0.0239027i −0.00320658 0.000989100i
\(585\) −0.883762 + 12.7369i −0.0365391 + 0.526606i
\(586\) 0.408149 + 0.0615185i 0.0168605 + 0.00254131i
\(587\) 4.83863 + 8.38076i 0.199712 + 0.345911i 0.948435 0.316972i \(-0.102666\pi\)
−0.748723 + 0.662883i \(0.769333\pi\)
\(588\) −15.8605 + 18.3024i −0.654075 + 0.754777i
\(589\) −24.2030 + 41.9208i −0.997267 + 1.72732i
\(590\) −1.33315 + 1.67172i −0.0548849 + 0.0688235i
\(591\) 0.000416956 0.150939i 1.71513e−5 0.00620880i
\(592\) 6.59853 + 28.9100i 0.271198 + 1.18820i
\(593\) 2.79418 + 37.2857i 0.114743 + 1.53114i 0.696368 + 0.717685i \(0.254798\pi\)
−0.581625 + 0.813457i \(0.697583\pi\)
\(594\) −0.00429133 + 0.0143328i −0.000176075 + 0.000588081i
\(595\) 19.9810 53.3424i 0.819140 2.18683i
\(596\) 2.71143 + 36.1815i 0.111064 + 1.48205i
\(597\) −9.71736 14.1685i −0.397705 0.579878i
\(598\) 0.300916 + 0.205161i 0.0123054 + 0.00838966i
\(599\) 33.3030 + 5.01961i 1.36072 + 0.205096i 0.788516 0.615014i \(-0.210850\pi\)
0.572206 + 0.820110i \(0.306088\pi\)
\(600\) −2.89908 + 0.670126i −0.118354 + 0.0273578i
\(601\) −43.8106 6.60339i −1.78707 0.269358i −0.829699 0.558212i \(-0.811488\pi\)
−0.957373 + 0.288854i \(0.906726\pi\)
\(602\) −0.756634 + 0.533339i −0.0308381 + 0.0217373i
\(603\) 8.04974 + 13.7663i 0.327811 + 0.560609i
\(604\) −7.48076 5.10029i −0.304388 0.207528i
\(605\) −9.02280 + 39.5315i −0.366829 + 1.60718i
\(606\) −0.308504 0.0222624i −0.0125321 0.000904347i
\(607\) −7.44769 −0.302292 −0.151146 0.988511i \(-0.548296\pi\)
−0.151146 + 0.988511i \(0.548296\pi\)
\(608\) −3.34325 3.10209i −0.135587 0.125806i
\(609\) 6.85681 14.9336i 0.277852 0.605140i
\(610\) 1.50644 1.39778i 0.0609941 0.0565943i
\(611\) 7.16102 6.64445i 0.289704 0.268806i
\(612\) 34.9887 0.193308i 1.41433 0.00781401i
\(613\) −12.0375 + 1.81437i −0.486192 + 0.0732816i −0.387564 0.921843i \(-0.626683\pi\)
−0.0986277 + 0.995124i \(0.531445\pi\)
\(614\) 0.538417 + 0.166080i 0.0217288 + 0.00670243i
\(615\) 2.33948 + 15.2357i 0.0943369 + 0.614364i
\(616\) −0.0292364 0.00852120i −0.00117797 0.000343329i
\(617\) 17.1880 + 15.9482i 0.691964 + 0.642049i 0.945631 0.325243i \(-0.105446\pi\)
−0.253666 + 0.967292i \(0.581637\pi\)
\(618\) −1.29409 0.0933842i −0.0520558 0.00375646i
\(619\) 46.6392 1.87459 0.937293 0.348542i \(-0.113323\pi\)
0.937293 + 0.348542i \(0.113323\pi\)
\(620\) −34.3209 31.8451i −1.37836 1.27893i
\(621\) 31.9135 7.56283i 1.28064 0.303486i
\(622\) −1.06502 1.33549i −0.0427033 0.0535482i
\(623\) −4.25261 + 2.13029i −0.170377 + 0.0853481i
\(624\) −2.36918 7.60603i −0.0948431 0.304485i
\(625\) −1.31594 + 5.76551i −0.0526376 + 0.230620i
\(626\) 0.340757 + 0.0513609i 0.0136194 + 0.00205279i
\(627\) −0.111145 + 0.751480i −0.00443871 + 0.0300112i
\(628\) −3.91088 + 0.589470i −0.156061 + 0.0235224i
\(629\) 39.1456 + 18.8515i 1.56084 + 0.751659i
\(630\) 1.05130 1.01762i 0.0418848 0.0405429i
\(631\) 15.8167 7.61694i 0.629654 0.303226i −0.0917053 0.995786i \(-0.529232\pi\)
0.721360 + 0.692561i \(0.243517\pi\)
\(632\) −0.567975 + 0.387239i −0.0225928 + 0.0154035i
\(633\) 3.69231 + 24.0460i 0.146756 + 0.955742i
\(634\) 0.0260471 + 0.347575i 0.00103446 + 0.0138040i
\(635\) 30.1370 37.7907i 1.19595 1.49968i
\(636\) 1.51282 + 3.11933i 0.0599871 + 0.123689i
\(637\) 7.16633 3.73081i 0.283940 0.147820i
\(638\) 0.0103249 0.000408767
\(639\) 2.21756 + 9.47418i 0.0877254 + 0.374793i
\(640\) 4.85862 3.31255i 0.192054 0.130940i
\(641\) 0.787579 + 3.45061i 0.0311075 + 0.136291i 0.988097 0.153831i \(-0.0491612\pi\)
−0.956990 + 0.290122i \(0.906304\pi\)
\(642\) −0.00398519 1.44265i −0.000157283 0.0569368i
\(643\) −2.86404 + 38.2179i −0.112947 + 1.50717i 0.596617 + 0.802526i \(0.296511\pi\)
−0.709564 + 0.704641i \(0.751108\pi\)
\(644\) 7.92905 + 32.4014i 0.312449 + 1.27679i
\(645\) −38.6479 + 22.4560i −1.52176 + 0.884203i
\(646\) −2.19799 + 0.331293i −0.0864787 + 0.0130346i
\(647\) 0.857621 11.4442i 0.0337165 0.449916i −0.954640 0.297762i \(-0.903760\pi\)
0.988357 0.152154i \(-0.0486210\pi\)
\(648\) 1.62902 + 0.762435i 0.0639939 + 0.0299513i
\(649\) −0.638385 + 0.196916i −0.0250588 + 0.00772962i
\(650\) 0.490469 + 0.0739263i 0.0192378 + 0.00289963i
\(651\) 28.5137 + 5.95952i 1.11754 + 0.233572i
\(652\) 34.7203 5.23324i 1.35975 0.204949i
\(653\) −24.8044 + 11.9452i −0.970672 + 0.467451i −0.850887 0.525349i \(-0.823935\pi\)
−0.119785 + 0.992800i \(0.538221\pi\)
\(654\) −0.123566 0.132437i −0.00483182 0.00517869i
\(655\) −12.1263 −0.473812
\(656\) −4.80899 8.32941i −0.187759 0.325209i
\(657\) 1.20272 0.188082i 0.0469226 0.00733780i
\(658\) −1.11935 + 0.0174603i −0.0436369 + 0.000680672i
\(659\) 31.5733 29.2957i 1.22992 1.14120i 0.244757 0.969585i \(-0.421292\pi\)
0.985164 0.171615i \(-0.0548985\pi\)
\(660\) −0.684701 0.266545i −0.0266519 0.0103752i
\(661\) 11.0223 28.0843i 0.428718 1.09235i −0.539443 0.842022i \(-0.681365\pi\)
0.968160 0.250332i \(-0.0805398\pi\)
\(662\) −0.385615 + 0.982532i −0.0149874 + 0.0381872i
\(663\) −10.8773 4.23440i −0.422441 0.164451i
\(664\) 1.90047 1.76338i 0.0737524 0.0684322i
\(665\) 45.4074 58.7974i 1.76082 2.28007i
\(666\) 0.700641 + 0.868687i 0.0271493 + 0.0336609i
\(667\) −11.3168 19.6012i −0.438187 0.758962i
\(668\) −13.4067 −0.518720
\(669\) 1.28971 + 1.38230i 0.0498630 + 0.0534427i
\(670\) 0.882849 0.425157i 0.0341074 0.0164253i
\(671\) 0.634906 0.0956967i 0.0245103 0.00369433i
\(672\) −1.14522 + 2.49421i −0.0441780 + 0.0962163i
\(673\) 30.2327 + 4.55685i 1.16539 + 0.175654i 0.703109 0.711082i \(-0.251795\pi\)
0.462276 + 0.886736i \(0.347033\pi\)
\(674\) −0.209803 + 0.0647157i −0.00808132 + 0.00249276i
\(675\) 34.6902 28.1380i 1.33523 1.08303i
\(676\) 1.74170 23.2414i 0.0669885 0.893899i
\(677\) 11.6462 1.75538i 0.447599 0.0674647i 0.0786249 0.996904i \(-0.474947\pi\)
0.368974 + 0.929440i \(0.379709\pi\)
\(678\) 1.18993 0.691393i 0.0456988 0.0265528i
\(679\) 3.33820 15.7544i 0.128109 0.604598i
\(680\) 0.321533 4.29056i 0.0123302 0.164535i
\(681\) −0.00489155 1.77075i −0.000187445 0.0678553i
\(682\) 0.00407277 + 0.0178440i 0.000155954 + 0.000683281i
\(683\) −25.9752 + 17.7096i −0.993913 + 0.677638i −0.946991 0.321260i \(-0.895894\pi\)
−0.0469218 + 0.998899i \(0.514941\pi\)
\(684\) 43.6793 + 13.2094i 1.67012 + 0.505076i
\(685\) 19.6268 0.749901
\(686\) −0.896540 0.231225i −0.0342301 0.00882820i
\(687\) −10.2895 21.2163i −0.392570 0.809452i
\(688\) 17.3892 21.8054i 0.662957 0.831322i
\(689\) −0.0864281 1.15330i −0.00329265 0.0439373i
\(690\) −0.305864 1.99192i −0.0116440 0.0758312i
\(691\) −0.297118 + 0.202571i −0.0113029 + 0.00770618i −0.568958 0.822366i \(-0.692653\pi\)
0.557655 + 0.830073i \(0.311701\pi\)
\(692\) −5.60016 + 2.69690i −0.212886 + 0.102521i
\(693\) 0.450500 0.0776662i 0.0171131 0.00295030i
\(694\) 0.702015 + 0.338073i 0.0266481 + 0.0128331i
\(695\) 38.1695 5.75313i 1.44785 0.218229i
\(696\) 0.181604 1.22787i 0.00688368 0.0465422i
\(697\) −13.9348 2.10034i −0.527820 0.0795561i
\(698\) −0.236604 + 1.03663i −0.00895558 + 0.0392370i
\(699\) 7.03337 + 22.5800i 0.266026 + 0.854053i
\(700\) 28.8757 + 35.0725i 1.09140 + 1.32562i
\(701\) −6.10546 7.65601i −0.230600 0.289164i 0.653047 0.757318i \(-0.273491\pi\)
−0.883647 + 0.468154i \(0.844919\pi\)
\(702\) −0.205746 0.218088i −0.00776537 0.00823120i
\(703\) 41.5387 + 38.5422i 1.56666 + 1.45365i
\(704\) 0.457309 0.0172355
\(705\) −53.9145 3.89059i −2.03054 0.146528i
\(706\) −1.01943 0.945890i −0.0383666 0.0355990i
\(707\) 3.58958 + 8.74263i 0.135000 + 0.328800i
\(708\) 6.09084 + 39.6663i 0.228908 + 1.49075i
\(709\) −19.0846 5.88681i −0.716736 0.221084i −0.0851263 0.996370i \(-0.527129\pi\)
−0.631610 + 0.775286i \(0.717606\pi\)
\(710\) 0.591208 0.0891102i 0.0221876 0.00334425i
\(711\) 5.11020 8.96514i 0.191647 0.336219i
\(712\) −0.263363 + 0.244365i −0.00986993 + 0.00915796i
\(713\) 29.4117 27.2901i 1.10148 1.02202i
\(714\) 0.602412 + 1.19432i 0.0225447 + 0.0446964i
\(715\) 0.179682 + 0.166721i 0.00671972 + 0.00623499i
\(716\) −2.15074 −0.0803771
\(717\) −5.90235 0.425927i −0.220427 0.0159065i
\(718\) 0.259463 1.13678i 0.00968308 0.0424244i
\(719\) −6.54048 4.45922i −0.243919 0.166301i 0.435190 0.900339i \(-0.356681\pi\)
−0.679109 + 0.734038i \(0.737634\pi\)
\(720\) −21.8297 + 38.2972i −0.813544 + 1.42725i
\(721\) 15.0572 + 36.6728i 0.560760 + 1.36577i
\(722\) −1.92737 0.290504i −0.0717292 0.0108114i
\(723\) 3.44890 0.797219i 0.128266 0.0296489i
\(724\) 10.3034 + 1.55299i 0.382924 + 0.0577165i
\(725\) −25.4687 17.3643i −0.945886 0.644894i
\(726\) −0.538565 0.785261i −0.0199880 0.0291438i
\(727\) 0.366161 + 4.88608i 0.0135802 + 0.181215i 0.999869 + 0.0161864i \(0.00515253\pi\)
−0.986289 + 0.165028i \(0.947228\pi\)
\(728\) 0.440829 0.422014i 0.0163382 0.0156409i
\(729\) −26.9963 + 0.447490i −0.999863 + 0.0165737i
\(730\) −0.00558986 0.0745915i −0.000206890 0.00276076i
\(731\) −9.09322 39.8400i −0.336325 1.47354i
\(732\) −0.106546 38.5699i −0.00393806 1.42559i
\(733\) 15.2830 19.1643i 0.564490 0.707848i −0.414891 0.909871i \(-0.636180\pi\)
0.979381 + 0.202023i \(0.0647517\pi\)
\(734\) −0.0640078 + 0.110865i −0.00236257 + 0.00409209i
\(735\) −42.1463 14.9107i −1.55459 0.549990i
\(736\) 1.89013 + 3.27380i 0.0696710 + 0.120674i
\(737\) 0.302739 + 0.0456305i 0.0111515 + 0.00168082i
\(738\) −0.300202 0.202254i −0.0110506 0.00744507i
\(739\) −29.7919 9.18958i −1.09591 0.338044i −0.306477 0.951878i \(-0.599150\pi\)
−0.789435 + 0.613834i \(0.789626\pi\)
\(740\) −45.2844 + 30.8744i −1.66469 + 1.13496i
\(741\) −11.9282 9.45863i −0.438193 0.347472i
\(742\) −0.0810096 + 0.104898i −0.00297395 + 0.00385093i
\(743\) −7.40413 + 5.04805i −0.271631 + 0.185195i −0.691473 0.722402i \(-0.743038\pi\)
0.419842 + 0.907597i \(0.362086\pi\)
\(744\) 2.19369 0.170490i 0.0804247 0.00625046i
\(745\) −60.3440 + 29.0601i −2.21083 + 1.06468i
\(746\) −0.163409 0.416360i −0.00598283 0.0152440i
\(747\) −14.0180 + 36.3058i −0.512892 + 1.32836i
\(748\) 0.418820 0.525183i 0.0153136 0.0192026i
\(749\) −39.4118 + 19.7428i −1.44008 + 0.721386i
\(750\) −0.649428 0.946905i −0.0237137 0.0345761i
\(751\) −38.7239 + 18.6484i −1.41306 + 0.680491i −0.975763 0.218828i \(-0.929777\pi\)
−0.437292 + 0.899320i \(0.644062\pi\)
\(752\) 32.2298 9.94156i 1.17530 0.362532i
\(753\) 20.7185 + 42.7202i 0.755025 + 1.55681i
\(754\) −0.103454 + 0.179188i −0.00376758 + 0.00652563i
\(755\) 3.71906 16.2943i 0.135350 0.593009i
\(756\) −0.655833 27.4533i −0.0238524 0.998466i
\(757\) −1.80578 7.91162i −0.0656320 0.287553i 0.931452 0.363864i \(-0.118543\pi\)
−0.997084 + 0.0763115i \(0.975686\pi\)
\(758\) −0.528734 0.163093i −0.0192045 0.00592380i
\(759\) 0.271629 0.568052i 0.00985950 0.0206190i
\(760\) 2.05009 5.22355i 0.0743646 0.189478i
\(761\) 9.19199 + 40.2727i 0.333209 + 1.45989i 0.812877 + 0.582436i \(0.197900\pi\)
−0.479667 + 0.877450i \(0.659243\pi\)
\(762\) 0.172276 + 1.12194i 0.00624090 + 0.0406435i
\(763\) −1.94136 + 5.18276i −0.0702818 + 0.187629i
\(764\) −2.88103 + 12.6226i −0.104232 + 0.456670i
\(765\) 23.9287 + 59.9926i 0.865144 + 2.16904i
\(766\) 0.626818 1.08568i 0.0226478 0.0392272i
\(767\) 2.97907 13.0522i 0.107568 0.471287i
\(768\) 4.00409 27.0726i 0.144485 0.976900i
\(769\) 20.6247 3.10867i 0.743746 0.112102i 0.233772 0.972291i \(-0.424893\pi\)
0.509974 + 0.860190i \(0.329655\pi\)
\(770\) −0.00253578 0.0279751i −9.13833e−5 0.00100815i
\(771\) 27.1057 + 6.10797i 0.976187 + 0.219973i
\(772\) 15.3877 + 14.2777i 0.553815 + 0.513865i
\(773\) −15.6748 39.9388i −0.563784 1.43650i −0.874044 0.485846i \(-0.838512\pi\)
0.310261 0.950652i \(-0.399584\pi\)
\(774\) 0.227914 1.02462i 0.00819220 0.0368291i
\(775\) 19.9634 50.8658i 0.717105 1.82715i
\(776\) −0.0909033 1.21302i −0.00326324 0.0435449i
\(777\) 14.2290 30.9896i 0.510462 1.11175i
\(778\) −0.0470711 + 0.628120i −0.00168758 + 0.0225192i
\(779\) −16.5590 7.97441i −0.593289 0.285713i
\(780\) 11.4865 9.21217i 0.411281 0.329849i
\(781\) 0.168305 + 0.0810515i 0.00602243 + 0.00290025i
\(782\) 1.82185 + 0.274599i 0.0651491 + 0.00981964i
\(783\) 5.63946 + 17.7588i 0.201538 + 0.634648i
\(784\) 27.8815 0.870034i 0.995768 0.0310727i
\(785\) −3.65043 6.32273i −0.130290 0.225668i
\(786\) 0.193111 0.209281i 0.00688806 0.00746481i
\(787\) −3.19410 42.6223i −0.113857 1.51932i −0.702941 0.711248i \(-0.748130\pi\)
0.589083 0.808072i \(-0.299489\pi\)
\(788\) 0.127604 0.118399i 0.00454570 0.00421780i
\(789\) 0.0189820 + 6.87151i 0.000675776 + 0.244632i
\(790\) −0.523902 0.357190i −0.0186396 0.0127083i
\(791\) −35.1085 23.1428i −1.24832 0.822865i
\(792\) 0.0310275 0.0151538i 0.00110252 0.000538467i
\(793\) −4.70086 + 11.9776i −0.166932 + 0.425337i
\(794\) 0.158465 0.0763129i 0.00562373 0.00270825i
\(795\) −4.33986 + 4.70324i −0.153919 + 0.166807i
\(796\) −4.40896 + 19.3169i −0.156271 + 0.684669i
\(797\) 19.5376 + 49.7811i 0.692058 + 1.76334i 0.644673 + 0.764459i \(0.276994\pi\)
0.0473855 + 0.998877i \(0.484911\pi\)
\(798\) 0.291640 + 1.72001i 0.0103240 + 0.0608879i
\(799\) 18.0546 46.0024i 0.638726 1.62745i
\(800\) 4.25379 + 2.90019i 0.150394 + 0.102537i
\(801\) 1.94259 5.03119i 0.0686379 0.177768i
\(802\) 0.565668 0.979765i 0.0199744 0.0345967i
\(803\) 0.0116854 0.0202398i 0.000412370 0.000714246i
\(804\) 5.37232 17.5890i 0.189467 0.620315i
\(805\) −50.3297 + 35.4766i −1.77389 + 1.25039i
\(806\) −0.350489 0.108112i −0.0123455 0.00380807i
\(807\) −4.79161 31.2051i −0.168673 1.09847i
\(808\) 0.445088 + 0.558123i 0.0156582 + 0.0196347i
\(809\) −15.7840 + 2.37906i −0.554936 + 0.0836432i −0.420522 0.907282i \(-0.638153\pi\)
−0.134414 + 0.990925i \(0.542915\pi\)
\(810\) −0.105693 + 1.65567i −0.00371366 + 0.0581745i
\(811\) 3.85940 + 16.9092i 0.135522 + 0.593761i 0.996387 + 0.0849275i \(0.0270659\pi\)
−0.860865 + 0.508833i \(0.830077\pi\)
\(812\) −18.0197 + 5.86765i −0.632367 + 0.205914i
\(813\) −2.97654 3.19023i −0.104392 0.111886i
\(814\) 0.0214258 0.000750976
\(815\) 32.4081 + 56.1324i 1.13520 + 1.96623i
\(816\) −27.4932 29.4669i −0.962453 1.03155i
\(817\) 3.98279 53.1466i 0.139340 1.85937i
\(818\) 0.517946 + 0.649484i 0.0181096 + 0.0227087i
\(819\) −3.16606 + 8.59659i −0.110631 + 0.300389i
\(820\) 11.0836 13.8984i 0.387055 0.485351i
\(821\) −20.1927 18.7361i −0.704732 0.653895i 0.244074 0.969757i \(-0.421516\pi\)
−0.948805 + 0.315861i \(0.897707\pi\)
\(822\) −0.312558 + 0.338729i −0.0109017 + 0.0118145i
\(823\) 27.6292 + 18.8373i 0.963093 + 0.656625i 0.939302 0.343092i \(-0.111474\pi\)
0.0237906 + 0.999717i \(0.492427\pi\)
\(824\) 1.86702 + 2.34116i 0.0650406 + 0.0815583i
\(825\) −0.00236886 0.857533i −8.24732e−5 0.0298555i
\(826\) −1.25400 + 0.883927i −0.0436324 + 0.0307557i
\(827\) −15.6008 + 7.51297i −0.542494 + 0.261252i −0.685001 0.728542i \(-0.740198\pi\)
0.142506 + 0.989794i \(0.454484\pi\)
\(828\) −31.3687 21.1339i −1.09014 0.734455i
\(829\) 32.2426 + 9.94553i 1.11983 + 0.345422i 0.798770 0.601636i \(-0.205484\pi\)
0.321062 + 0.947058i \(0.395960\pi\)
\(830\) 2.15455 + 1.03757i 0.0747854 + 0.0360147i
\(831\) 34.2792 + 7.72444i 1.18913 + 0.267958i
\(832\) −4.58217 + 7.93655i −0.158858 + 0.275150i
\(833\) 24.4741 32.7341i 0.847978 1.13417i
\(834\) −0.508561 + 0.750367i −0.0176100 + 0.0259831i
\(835\) −9.04153 23.0374i −0.312895 0.797243i
\(836\) 0.723849 0.493512i 0.0250348 0.0170685i
\(837\) −28.4671 + 16.7515i −0.983966 + 0.579018i
\(838\) 0.00237251 + 0.0316590i 8.19570e−5 + 0.00109364i
\(839\) 9.40740 + 6.41386i 0.324780 + 0.221431i 0.714723 0.699408i \(-0.246553\pi\)
−0.389943 + 0.920839i \(0.627505\pi\)
\(840\) −3.37149 0.190489i −0.116327 0.00657251i
\(841\) −13.3367 + 9.09284i −0.459888 + 0.313546i
\(842\) −0.632879 0.793606i −0.0218105 0.0273495i
\(843\) 0.292315 1.97641i 0.0100679 0.0680713i
\(844\) 17.4928 21.9352i 0.602126 0.755042i
\(845\) 41.1115 12.6812i 1.41428 0.436247i
\(846\) 0.925737 0.868525i 0.0318275 0.0298605i
\(847\) −14.1525 + 25.4204i −0.486285 + 0.873455i
\(848\) 1.45885 3.71709i 0.0500972 0.127646i
\(849\) −6.85321 + 46.3362i −0.235202 + 1.59026i
\(850\) 2.39775 0.739607i 0.0822420 0.0253683i
\(851\) −23.4841 40.6757i −0.805025 1.39434i
\(852\) 6.29565 9.28905i 0.215685 0.318238i
\(853\) −46.0629 + 14.2085i −1.57716 + 0.486490i −0.955052 0.296438i \(-0.904201\pi\)
−0.622111 + 0.782929i \(0.713725\pi\)
\(854\) 1.31838 0.660424i 0.0451140 0.0225992i
\(855\) 6.75900 + 83.9650i 0.231153 + 2.87154i
\(856\) −2.44076 + 2.26469i −0.0834234 + 0.0774056i
\(857\) −6.04694 7.58263i −0.206560 0.259018i 0.667751 0.744385i \(-0.267257\pi\)
−0.874310 + 0.485367i \(0.838686\pi\)
\(858\) −0.00573879 0.000446008i −0.000195919 1.52265e-5i
\(859\) −3.60122 15.7780i −0.122872 0.538337i −0.998470 0.0552967i \(-0.982390\pi\)
0.875598 0.483041i \(-0.160468\pi\)
\(860\) 49.2584 + 15.1942i 1.67970 + 0.518119i
\(861\) −1.44738 + 10.9651i −0.0493266 + 0.373690i
\(862\) −0.127744 + 0.0394040i −0.00435099 + 0.00134210i
\(863\) 13.6654 + 23.6692i 0.465175 + 0.805707i 0.999209 0.0397555i \(-0.0126579\pi\)
−0.534034 + 0.845463i \(0.679325\pi\)
\(864\) −0.941904 2.96608i −0.0320442 0.100908i
\(865\) −8.41100 7.80427i −0.285982 0.265353i
\(866\) 0.100779 1.34480i 0.00342461 0.0456982i
\(867\) −29.5151 + 2.29386i −1.00239 + 0.0779037i
\(868\) −17.2488 28.8279i −0.585463 0.978482i
\(869\) −0.0723789 0.184418i −0.00245529 0.00625597i
\(870\) 1.11550 0.257849i 0.0378189 0.00874189i
\(871\) −3.82531 + 4.79679i −0.129616 + 0.162533i
\(872\) −0.0312402 + 0.416872i −0.00105793 + 0.0141171i
\(873\) 9.21743 + 15.7633i 0.311963 + 0.533507i
\(874\) 2.16493 + 1.04258i 0.0732299 + 0.0352657i
\(875\) −17.0657 + 30.6531i −0.576927 + 1.03626i
\(876\) −1.10003 0.872285i −0.0371666 0.0294718i
\(877\) −12.4585 5.99970i −0.420694 0.202596i 0.211546 0.977368i \(-0.432150\pi\)
−0.632240 + 0.774772i \(0.717864\pi\)
\(878\) −1.27352 + 1.18165i −0.0429792 + 0.0398788i
\(879\) 12.4043 + 7.11600i 0.418386 + 0.240017i
\(880\) 0.309187 + 0.787796i 0.0104227 + 0.0265566i
\(881\) −16.0866 −0.541972 −0.270986 0.962583i \(-0.587350\pi\)
−0.270986 + 0.962583i \(0.587350\pi\)
\(882\) 0.928519 0.489929i 0.0312649 0.0164968i
\(883\) 9.66082 0.325112 0.162556 0.986699i \(-0.448026\pi\)
0.162556 + 0.986699i \(0.448026\pi\)
\(884\) 4.91799 + 12.5308i 0.165410 + 0.421457i
\(885\) −64.0530 + 37.2173i −2.15312 + 1.25105i
\(886\) −0.541367 + 0.502315i −0.0181876 + 0.0168756i
\(887\) −39.2934 18.9227i −1.31934 0.635362i −0.364148 0.931341i \(-0.618640\pi\)
−0.955194 + 0.295980i \(0.904354\pi\)
\(888\) 0.376857 2.54802i 0.0126465 0.0855061i
\(889\) 28.3479 19.9820i 0.950758 0.670173i
\(890\) −0.298572 0.143785i −0.0100082 0.00481968i
\(891\) −0.318691 + 0.408812i −0.0106766 + 0.0136957i
\(892\) 0.162931 2.17417i 0.00545535 0.0727966i
\(893\) 40.1850 50.3904i 1.34474 1.68625i
\(894\) 0.459447 1.50423i 0.0153662 0.0503090i
\(895\) −1.45047 3.69574i −0.0484839 0.123535i
\(896\) 4.01203 1.30641i 0.134032 0.0436442i
\(897\) 7.13680 + 10.4059i 0.238291 + 0.347443i
\(898\) −0.0472145 + 0.630034i −0.00157557 + 0.0210245i
\(899\) 16.7093 + 15.5039i 0.557286 + 0.517086i
\(900\) −50.9791 7.39605i −1.69930 0.246535i
\(901\) −2.92536 5.06687i −0.0974578 0.168802i
\(902\) −0.00664063 + 0.00204836i −0.000221109 + 6.82030e-5i
\(903\) −31.1319 + 7.70961i −1.03601 + 0.256560i
\(904\) −3.03512 0.936210i −0.100947 0.0311379i
\(905\) 4.28009 + 18.7523i 0.142275 + 0.623348i
\(906\) 0.221988 + 0.323672i 0.00737506 + 0.0107533i
\(907\) 23.3038 + 29.2220i 0.773790 + 0.970302i 0.999993 0.00377855i \(-0.00120275\pi\)
−0.226203 + 0.974080i \(0.572631\pi\)
\(908\) −1.49699 + 1.38901i −0.0496795 + 0.0460959i
\(909\) −9.68056 4.59620i −0.321084 0.152446i
\(910\) 0.510914 + 0.236299i 0.0169366 + 0.00783322i
\(911\) −39.6698 + 12.2365i −1.31432 + 0.405414i −0.871147 0.491022i \(-0.836623\pi\)
−0.443173 + 0.896436i \(0.646147\pi\)
\(912\) −22.9360 47.2924i −0.759485 1.56601i
\(913\) 0.373581 + 0.647062i 0.0123637 + 0.0214146i
\(914\) −1.07019 + 0.330110i −0.0353988 + 0.0109191i
\(915\) 66.2049 26.1948i 2.18867 0.865974i
\(916\) −9.93491 + 25.3137i −0.328259 + 0.836390i
\(917\) −8.35339 2.43466i −0.275853 0.0803997i
\(918\) −1.41645 0.542412i −0.0467497 0.0179023i
\(919\) −31.8990 + 9.83953i −1.05225 + 0.324576i −0.772180 0.635404i \(-0.780834\pi\)
−0.280070 + 0.959980i \(0.590358\pi\)
\(920\) −2.89995 + 3.63642i −0.0956085 + 0.119889i
\(921\) 15.2960 + 12.1291i 0.504019 + 0.399669i
\(922\) −0.804873 1.00928i −0.0265071 0.0332388i
\(923\) −3.09303 + 2.10879i −0.101808 + 0.0694118i
\(924\) −0.418152 0.321086i −0.0137562 0.0105629i
\(925\) −52.8518 36.0337i −1.73776 1.18478i
\(926\) −0.0237087 0.316371i −0.000779117 0.0103966i
\(927\) −40.6071 19.2797i −1.33371 0.633229i
\(928\) −1.77445 + 1.20980i −0.0582492 + 0.0397137i
\(929\) −3.42379 8.72366i −0.112331 0.286214i 0.863642 0.504105i \(-0.168178\pi\)
−0.975973 + 0.217891i \(0.930082\pi\)
\(930\) 0.885645 + 1.82614i 0.0290415 + 0.0598815i
\(931\) 43.0848 31.3869i 1.41205 1.02866i
\(932\) 13.6373 23.6205i 0.446704 0.773714i
\(933\) −17.6000 56.5032i −0.576198 1.84983i
\(934\) 0.268840 + 0.129466i 0.00879670 + 0.00423627i
\(935\) 1.18490 + 0.365495i 0.0387505 + 0.0119530i
\(936\) −0.0478985 + 0.690319i −0.00156561 + 0.0225638i
\(937\) 24.0155 11.5652i 0.784551 0.377820i 0.00167604 0.999999i \(-0.499466\pi\)
0.782875 + 0.622179i \(0.213752\pi\)
\(938\) 0.693527 0.115622i 0.0226445 0.00377520i
\(939\) 10.3562 + 5.94104i 0.337960 + 0.193879i
\(940\) 38.8677 + 48.7386i 1.26773 + 1.58968i
\(941\) 2.88928 + 1.96987i 0.0941877 + 0.0642161i 0.609498 0.792788i \(-0.291371\pi\)
−0.515310 + 0.857004i \(0.672323\pi\)
\(942\) 0.167254 + 0.0376889i 0.00544944 + 0.00122797i
\(943\) 11.1672 + 10.3617i 0.363656 + 0.337423i
\(944\) 28.8199 36.1391i 0.938009 1.17623i
\(945\) 46.7321 19.6416i 1.52020 0.638940i
\(946\) −0.0125644 0.0157553i −0.000408504 0.000512247i
\(947\) −1.20327 + 16.0565i −0.0391010 + 0.521767i 0.942923 + 0.333011i \(0.108065\pi\)
−0.982024 + 0.188756i \(0.939555\pi\)
\(948\) −11.5951 + 2.68022i −0.376590 + 0.0870495i
\(949\) 0.234173 + 0.405599i 0.00760157 + 0.0131663i
\(950\) 3.27254 0.106175
\(951\) −3.52754 + 11.5492i −0.114388 + 0.374507i
\(952\) 1.08294 2.89107i 0.0350981 0.0937001i
\(953\) −7.38603 32.3603i −0.239257 1.04825i −0.941684 0.336498i \(-0.890758\pi\)
0.702427 0.711756i \(-0.252100\pi\)
\(954\) −0.0120585 0.149799i −0.000390408 0.00484992i
\(955\) −23.6331 + 3.56212i −0.764749 + 0.115267i
\(956\) 4.25509 + 5.33571i 0.137619 + 0.172569i
\(957\) 0.333350 + 0.129769i 0.0107757 + 0.00419482i
\(958\) −0.527365 0.162671i −0.0170384 0.00525565i
\(959\) 13.5203 + 3.94059i 0.436592 + 0.127248i
\(960\) 49.4073 11.4206i 1.59461 0.368598i
\(961\) −4.70347 + 8.14666i −0.151725 + 0.262795i
\(962\) −0.214684 + 0.371843i −0.00692169 + 0.0119887i
\(963\) 18.0033 46.6274i 0.580147 1.50255i
\(964\) −3.37300 2.29967i −0.108637 0.0740674i
\(965\) −14.1566 + 36.0704i −0.455717 + 1.16115i
\(966\) 0.189231 1.43358i 0.00608840 0.0461247i
\(967\) −5.97799 15.2317i −0.192239 0.489818i 0.801959 0.597379i \(-0.203791\pi\)
−0.994198 + 0.107561i \(0.965696\pi\)
\(968\) −0.489021 + 2.14254i −0.0157177 + 0.0688639i
\(969\) −75.1280 16.9293i −2.41346 0.543847i
\(970\) 1.01091 0.486831i 0.0324585 0.0156312i
\(971\) 20.9668 53.4225i 0.672856 1.71441i −0.0265123 0.999648i \(-0.508440\pi\)
0.699369 0.714761i \(-0.253465\pi\)
\(972\) 21.4924 + 22.5310i 0.689370 + 0.722683i
\(973\) 27.4488 + 3.70038i 0.879969 + 0.118629i
\(974\) 0.421729 + 0.287530i 0.0135131 + 0.00921306i
\(975\) 14.9061 + 8.55124i 0.477378 + 0.273859i
\(976\) −32.5662 + 30.2170i −1.04242 + 0.967223i
\(977\) −0.797148 10.6372i −0.0255030 0.340314i −0.995331 0.0965229i \(-0.969228\pi\)
0.969828 0.243791i \(-0.0783911\pi\)
\(978\) −1.48486 0.334597i −0.0474806 0.0106992i
\(979\) −0.0517701 0.0896685i −0.00165458 0.00286582i
\(980\) 20.3239 + 47.3829i 0.649223 + 1.51359i
\(981\) −2.32492 5.82889i −0.0742289 0.186102i
\(982\) 0.785391 + 0.118379i 0.0250628 + 0.00377762i
\(983\) −0.209669 0.100971i −0.00668739 0.00322048i 0.430537 0.902573i \(-0.358324\pi\)
−0.437224 + 0.899352i \(0.644038\pi\)
\(984\) 0.126796 + 0.825752i 0.00404211 + 0.0263240i
\(985\) 0.289508 + 0.139420i 0.00922451 + 0.00444229i
\(986\) −0.0782209 + 1.04379i −0.00249106 + 0.0332409i
\(987\) −36.3588 13.5048i −1.15731 0.429864i
\(988\) 1.31199 + 17.5072i 0.0417399 + 0.556980i
\(989\) −16.1390 + 41.1215i −0.513190 + 1.30759i
\(990\) 0.0234677 + 0.0215348i 0.000745852 + 0.000684420i
\(991\) −19.6209 49.9932i −0.623278 1.58809i −0.797460 0.603372i \(-0.793823\pi\)
0.174182 0.984713i \(-0.444272\pi\)
\(992\) −2.79079 2.58947i −0.0886075 0.0822158i
\(993\) −24.7989 + 26.8754i −0.786970 + 0.852865i
\(994\) 0.425155 + 0.0573152i 0.0134851 + 0.00181793i
\(995\) −36.1667 + 5.45125i −1.14656 + 0.172816i
\(996\) 41.7346 16.5128i 1.32241 0.523228i
\(997\) 5.22770 22.9041i 0.165563 0.725379i −0.822172 0.569239i \(-0.807238\pi\)
0.987735 0.156140i \(-0.0499051\pi\)
\(998\) 0.619356 1.07276i 0.0196054 0.0339575i
\(999\) 11.7028 + 36.8524i 0.370260 + 1.16596i
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 441.2.z.a.382.29 yes 648
9.7 even 3 441.2.y.a.88.29 648
49.44 even 21 441.2.y.a.436.29 yes 648
441.142 even 21 inner 441.2.z.a.142.29 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.29 648 9.7 even 3
441.2.y.a.436.29 yes 648 49.44 even 21
441.2.z.a.142.29 yes 648 441.142 even 21 inner
441.2.z.a.382.29 yes 648 1.1 even 1 trivial