Properties

Label 462.2.ba.b.19.8
Level $462$
Weight $2$
Character 462.19
Analytic conductor $3.689$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [462,2,Mod(19,462)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(462, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 25, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("462.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.ba (of order \(30\), degree \(8\), 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: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(8\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 19.8
Character \(\chi\) \(=\) 462.19
Dual form 462.2.ba.b.73.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.994522 - 0.104528i) q^{2} +(0.743145 + 0.669131i) q^{3} +(0.978148 - 0.207912i) q^{4} +(1.33064 + 2.98866i) q^{5} +(0.809017 + 0.587785i) q^{6} +(1.90285 - 1.83825i) q^{7} +(0.951057 - 0.309017i) q^{8} +(0.104528 + 0.994522i) q^{9} +O(q^{10})\) \(q+(0.994522 - 0.104528i) q^{2} +(0.743145 + 0.669131i) q^{3} +(0.978148 - 0.207912i) q^{4} +(1.33064 + 2.98866i) q^{5} +(0.809017 + 0.587785i) q^{6} +(1.90285 - 1.83825i) q^{7} +(0.951057 - 0.309017i) q^{8} +(0.104528 + 0.994522i) q^{9} +(1.63575 + 2.83319i) q^{10} +(-0.401489 - 3.29223i) q^{11} +(0.866025 + 0.500000i) q^{12} +(-5.44749 + 3.95783i) q^{13} +(1.70027 - 2.02708i) q^{14} +(-1.01095 + 3.11137i) q^{15} +(0.913545 - 0.406737i) q^{16} +(0.190156 - 1.80921i) q^{17} +(0.207912 + 0.978148i) q^{18} +(-2.09907 - 0.446171i) q^{19} +(1.92293 + 2.64669i) q^{20} +(2.64412 - 0.0928344i) q^{21} +(-0.743422 - 3.23223i) q^{22} +(2.73297 - 4.73364i) q^{23} +(0.913545 + 0.406737i) q^{24} +(-3.81582 + 4.23789i) q^{25} +(-5.00394 + 4.50557i) q^{26} +(-0.587785 + 0.809017i) q^{27} +(1.47907 - 2.19371i) q^{28} +(-0.705880 - 0.229354i) q^{29} +(-0.680181 + 3.20000i) q^{30} +(-1.97573 + 4.43756i) q^{31} +(0.866025 - 0.500000i) q^{32} +(1.90457 - 2.71526i) q^{33} -1.81918i q^{34} +(8.02590 + 3.24091i) q^{35} +(0.309017 + 0.951057i) q^{36} +(6.81686 + 7.57089i) q^{37} +(-2.13421 - 0.224314i) q^{38} +(-6.69658 - 0.703839i) q^{39} +(2.18905 + 2.43119i) q^{40} +(-0.800419 - 2.46343i) q^{41} +(2.61993 - 0.368712i) q^{42} -10.5264i q^{43} +(-1.07721 - 3.13682i) q^{44} +(-2.83319 + 1.63575i) q^{45} +(2.22320 - 4.99338i) q^{46} +(0.106401 - 0.500577i) q^{47} +(0.951057 + 0.309017i) q^{48} +(0.241656 - 6.99583i) q^{49} +(-3.35193 + 4.61354i) q^{50} +(1.35191 - 1.21727i) q^{51} +(-4.50557 + 5.00394i) q^{52} +(-11.7538 - 5.23315i) q^{53} +(-0.500000 + 0.866025i) q^{54} +(9.30512 - 5.58068i) q^{55} +(1.24166 - 2.33629i) q^{56} +(-1.26137 - 1.73612i) q^{57} +(-0.725987 - 0.154313i) q^{58} +(-0.459368 - 2.16116i) q^{59} +(-0.341964 + 3.25357i) q^{60} +(6.26365 - 2.78876i) q^{61} +(-1.50105 + 4.61977i) q^{62} +(2.02708 + 1.70027i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-19.0772 - 11.0142i) q^{65} +(1.61031 - 2.89946i) q^{66} +(6.06614 + 10.5069i) q^{67} +(-0.190156 - 1.80921i) q^{68} +(5.19842 - 1.68907i) q^{69} +(8.32070 + 2.38422i) q^{70} +(3.19372 + 2.32038i) q^{71} +(0.406737 + 0.913545i) q^{72} +(-4.29538 + 0.913010i) q^{73} +(7.57089 + 6.81686i) q^{74} +(-5.67141 + 0.596089i) q^{75} -2.14596 q^{76} +(-6.81593 - 5.52658i) q^{77} -6.73347 q^{78} +(-13.5749 + 1.42677i) q^{79} +(2.43119 + 2.18905i) q^{80} +(-0.978148 + 0.207912i) q^{81} +(-1.05353 - 2.36627i) q^{82} +(-5.79039 - 4.20697i) q^{83} +(2.56704 - 0.640550i) q^{84} +(5.66013 - 1.83909i) q^{85} +(-1.10031 - 10.4687i) q^{86} +(-0.371103 - 0.642769i) q^{87} +(-1.39920 - 3.00703i) q^{88} +(10.4217 + 6.01699i) q^{89} +(-2.64669 + 1.92293i) q^{90} +(-3.09025 + 17.5450i) q^{91} +(1.68907 - 5.19842i) q^{92} +(-4.43756 + 1.97573i) q^{93} +(0.0534936 - 0.508957i) q^{94} +(-1.45964 - 6.86709i) q^{95} +(0.978148 + 0.207912i) q^{96} +(-4.37237 - 6.01805i) q^{97} +(-0.490931 - 6.98276i) q^{98} +(3.23223 - 0.743422i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 8 q^{4} - 2 q^{5} + 16 q^{6} + 16 q^{7} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 8 q^{4} - 2 q^{5} + 16 q^{6} + 16 q^{7} - 8 q^{9} - 2 q^{10} + 4 q^{11} + 2 q^{14} - 6 q^{15} + 8 q^{16} + 30 q^{17} - 10 q^{19} - 20 q^{20} + 4 q^{21} - 2 q^{22} + 4 q^{23} + 8 q^{24} - 12 q^{26} - 20 q^{29} - 18 q^{30} + 34 q^{31} + 8 q^{33} - 2 q^{35} - 16 q^{36} - 14 q^{37} + 12 q^{38} - 18 q^{39} + 12 q^{40} + 28 q^{41} + 4 q^{42} + 6 q^{44} - 12 q^{45} + 42 q^{46} + 24 q^{47} - 44 q^{49} + 14 q^{51} - 32 q^{54} + 14 q^{55} - 4 q^{56} - 10 q^{58} - 30 q^{59} + 2 q^{60} - 28 q^{61} + 8 q^{62} + 16 q^{63} + 16 q^{64} - 12 q^{65} - 4 q^{66} + 16 q^{67} - 30 q^{68} - 30 q^{70} - 24 q^{71} - 116 q^{73} - 44 q^{74} + 12 q^{75} - 32 q^{77} - 18 q^{80} + 8 q^{81} - 28 q^{82} - 8 q^{83} - 2 q^{84} - 80 q^{85} - 18 q^{86} - 10 q^{87} - 14 q^{88} - 24 q^{89} - 4 q^{90} + 48 q^{91} + 8 q^{92} + 76 q^{93} + 6 q^{94} + 98 q^{95} - 8 q^{96} - 120 q^{97} - 40 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.994522 0.104528i 0.703233 0.0739128i
\(3\) 0.743145 + 0.669131i 0.429055 + 0.386323i
\(4\) 0.978148 0.207912i 0.489074 0.103956i
\(5\) 1.33064 + 2.98866i 0.595078 + 1.33657i 0.920405 + 0.390966i \(0.127859\pi\)
−0.325327 + 0.945602i \(0.605474\pi\)
\(6\) 0.809017 + 0.587785i 0.330280 + 0.239962i
\(7\) 1.90285 1.83825i 0.719209 0.694794i
\(8\) 0.951057 0.309017i 0.336249 0.109254i
\(9\) 0.104528 + 0.994522i 0.0348428 + 0.331507i
\(10\) 1.63575 + 2.83319i 0.517268 + 0.895935i
\(11\) −0.401489 3.29223i −0.121054 0.992646i
\(12\) 0.866025 + 0.500000i 0.250000 + 0.144338i
\(13\) −5.44749 + 3.95783i −1.51086 + 1.09771i −0.545070 + 0.838391i \(0.683497\pi\)
−0.965793 + 0.259315i \(0.916503\pi\)
\(14\) 1.70027 2.02708i 0.454417 0.541761i
\(15\) −1.01095 + 3.11137i −0.261025 + 0.803353i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) 0.190156 1.80921i 0.0461195 0.438798i −0.946960 0.321352i \(-0.895863\pi\)
0.993079 0.117446i \(-0.0374706\pi\)
\(18\) 0.207912 + 0.978148i 0.0490053 + 0.230552i
\(19\) −2.09907 0.446171i −0.481560 0.102359i −0.0392657 0.999229i \(-0.512502\pi\)
−0.442294 + 0.896870i \(0.645835\pi\)
\(20\) 1.92293 + 2.64669i 0.429981 + 0.591818i
\(21\) 2.64412 0.0928344i 0.576995 0.0202581i
\(22\) −0.743422 3.23223i −0.158498 0.689114i
\(23\) 2.73297 4.73364i 0.569864 0.987033i −0.426715 0.904386i \(-0.640329\pi\)
0.996579 0.0826468i \(-0.0263373\pi\)
\(24\) 0.913545 + 0.406737i 0.186477 + 0.0830248i
\(25\) −3.81582 + 4.23789i −0.763164 + 0.847579i
\(26\) −5.00394 + 4.50557i −0.981354 + 0.883615i
\(27\) −0.587785 + 0.809017i −0.113119 + 0.155695i
\(28\) 1.47907 2.19371i 0.279518 0.414572i
\(29\) −0.705880 0.229354i −0.131079 0.0425900i 0.242743 0.970091i \(-0.421953\pi\)
−0.373822 + 0.927501i \(0.621953\pi\)
\(30\) −0.680181 + 3.20000i −0.124184 + 0.584238i
\(31\) −1.97573 + 4.43756i −0.354851 + 0.797009i 0.644620 + 0.764503i \(0.277016\pi\)
−0.999472 + 0.0325061i \(0.989651\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 1.90457 2.71526i 0.331543 0.472665i
\(34\) 1.81918i 0.311986i
\(35\) 8.02590 + 3.24091i 1.35662 + 0.547814i
\(36\) 0.309017 + 0.951057i 0.0515028 + 0.158509i
\(37\) 6.81686 + 7.57089i 1.12068 + 1.24465i 0.966517 + 0.256601i \(0.0826027\pi\)
0.154167 + 0.988045i \(0.450731\pi\)
\(38\) −2.13421 0.224314i −0.346214 0.0363886i
\(39\) −6.69658 0.703839i −1.07231 0.112704i
\(40\) 2.18905 + 2.43119i 0.346120 + 0.384405i
\(41\) −0.800419 2.46343i −0.125004 0.384724i 0.868898 0.494992i \(-0.164829\pi\)
−0.993902 + 0.110268i \(0.964829\pi\)
\(42\) 2.61993 0.368712i 0.404265 0.0568935i
\(43\) 10.5264i 1.60526i −0.596476 0.802631i \(-0.703433\pi\)
0.596476 0.802631i \(-0.296567\pi\)
\(44\) −1.07721 3.13682i −0.162396 0.472893i
\(45\) −2.83319 + 1.63575i −0.422348 + 0.243843i
\(46\) 2.22320 4.99338i 0.327793 0.736234i
\(47\) 0.106401 0.500577i 0.0155202 0.0730167i −0.969706 0.244275i \(-0.921450\pi\)
0.985226 + 0.171258i \(0.0547833\pi\)
\(48\) 0.951057 + 0.309017i 0.137273 + 0.0446028i
\(49\) 0.241656 6.99583i 0.0345223 0.999404i
\(50\) −3.35193 + 4.61354i −0.474035 + 0.652453i
\(51\) 1.35191 1.21727i 0.189305 0.170451i
\(52\) −4.50557 + 5.00394i −0.624810 + 0.693922i
\(53\) −11.7538 5.23315i −1.61451 0.718828i −0.616846 0.787084i \(-0.711590\pi\)
−0.997668 + 0.0682555i \(0.978257\pi\)
\(54\) −0.500000 + 0.866025i −0.0680414 + 0.117851i
\(55\) 9.30512 5.58068i 1.25470 0.752498i
\(56\) 1.24166 2.33629i 0.165924 0.312200i
\(57\) −1.26137 1.73612i −0.167072 0.229955i
\(58\) −0.725987 0.154313i −0.0953268 0.0202623i
\(59\) −0.459368 2.16116i −0.0598046 0.281358i 0.938076 0.346429i \(-0.112606\pi\)
−0.997881 + 0.0650709i \(0.979273\pi\)
\(60\) −0.341964 + 3.25357i −0.0441473 + 0.420034i
\(61\) 6.26365 2.78876i 0.801978 0.357064i 0.0355288 0.999369i \(-0.488688\pi\)
0.766449 + 0.642305i \(0.222022\pi\)
\(62\) −1.50105 + 4.61977i −0.190634 + 0.586711i
\(63\) 2.02708 + 1.70027i 0.255389 + 0.214214i
\(64\) 0.809017 0.587785i 0.101127 0.0734732i
\(65\) −19.0772 11.0142i −2.36624 1.36615i
\(66\) 1.61031 2.89946i 0.198216 0.356899i
\(67\) 6.06614 + 10.5069i 0.741097 + 1.28362i 0.951996 + 0.306110i \(0.0990276\pi\)
−0.210899 + 0.977508i \(0.567639\pi\)
\(68\) −0.190156 1.80921i −0.0230598 0.219399i
\(69\) 5.19842 1.68907i 0.625816 0.203340i
\(70\) 8.32070 + 2.38422i 0.994514 + 0.284969i
\(71\) 3.19372 + 2.32038i 0.379025 + 0.275378i 0.760943 0.648818i \(-0.224736\pi\)
−0.381918 + 0.924196i \(0.624736\pi\)
\(72\) 0.406737 + 0.913545i 0.0479344 + 0.107662i
\(73\) −4.29538 + 0.913010i −0.502736 + 0.106860i −0.452297 0.891867i \(-0.649395\pi\)
−0.0504387 + 0.998727i \(0.516062\pi\)
\(74\) 7.57089 + 6.81686i 0.880098 + 0.792444i
\(75\) −5.67141 + 0.596089i −0.654878 + 0.0688305i
\(76\) −2.14596 −0.246159
\(77\) −6.81593 5.52658i −0.776747 0.629812i
\(78\) −6.73347 −0.762415
\(79\) −13.5749 + 1.42677i −1.52729 + 0.160525i −0.830609 0.556856i \(-0.812008\pi\)
−0.696682 + 0.717381i \(0.745341\pi\)
\(80\) 2.43119 + 2.18905i 0.271815 + 0.244744i
\(81\) −0.978148 + 0.207912i −0.108683 + 0.0231013i
\(82\) −1.05353 2.36627i −0.116343 0.261311i
\(83\) −5.79039 4.20697i −0.635578 0.461775i 0.222750 0.974876i \(-0.428497\pi\)
−0.858328 + 0.513101i \(0.828497\pi\)
\(84\) 2.56704 0.640550i 0.280087 0.0698897i
\(85\) 5.66013 1.83909i 0.613928 0.199477i
\(86\) −1.10031 10.4687i −0.118649 1.12887i
\(87\) −0.371103 0.642769i −0.0397864 0.0689121i
\(88\) −1.39920 3.00703i −0.149155 0.320551i
\(89\) 10.4217 + 6.01699i 1.10470 + 0.637800i 0.937452 0.348115i \(-0.113178\pi\)
0.167250 + 0.985915i \(0.446511\pi\)
\(90\) −2.64669 + 1.92293i −0.278986 + 0.202695i
\(91\) −3.09025 + 17.5450i −0.323946 + 1.83922i
\(92\) 1.68907 5.19842i 0.176098 0.541973i
\(93\) −4.43756 + 1.97573i −0.460153 + 0.204873i
\(94\) 0.0534936 0.508957i 0.00551744 0.0524949i
\(95\) −1.45964 6.86709i −0.149756 0.704548i
\(96\) 0.978148 + 0.207912i 0.0998318 + 0.0212199i
\(97\) −4.37237 6.01805i −0.443947 0.611040i 0.527137 0.849780i \(-0.323266\pi\)
−0.971083 + 0.238740i \(0.923266\pi\)
\(98\) −0.490931 6.98276i −0.0495915 0.705366i
\(99\) 3.23223 0.743422i 0.324852 0.0747168i
\(100\) −2.85133 + 4.93864i −0.285133 + 0.493864i
\(101\) 3.30530 + 1.47162i 0.328890 + 0.146431i 0.564538 0.825407i \(-0.309055\pi\)
−0.235648 + 0.971839i \(0.575721\pi\)
\(102\) 1.21727 1.35191i 0.120527 0.133859i
\(103\) −6.19738 + 5.58014i −0.610646 + 0.549828i −0.915370 0.402613i \(-0.868102\pi\)
0.304725 + 0.952440i \(0.401436\pi\)
\(104\) −3.95783 + 5.44749i −0.388098 + 0.534171i
\(105\) 3.79581 + 7.77884i 0.370433 + 0.759137i
\(106\) −12.2365 3.97587i −1.18851 0.386170i
\(107\) −2.29944 + 10.8180i −0.222296 + 1.04582i 0.715495 + 0.698618i \(0.246201\pi\)
−0.937791 + 0.347201i \(0.887132\pi\)
\(108\) −0.406737 + 0.913545i −0.0391383 + 0.0879060i
\(109\) −5.68134 + 3.28012i −0.544173 + 0.314179i −0.746769 0.665084i \(-0.768396\pi\)
0.202595 + 0.979263i \(0.435062\pi\)
\(110\) 8.67080 6.52275i 0.826729 0.621920i
\(111\) 10.1876i 0.966967i
\(112\) 0.990653 2.45328i 0.0936079 0.231814i
\(113\) −4.97950 15.3253i −0.468432 1.44168i −0.854615 0.519262i \(-0.826207\pi\)
0.386184 0.922422i \(-0.373793\pi\)
\(114\) −1.43593 1.59476i −0.134487 0.149363i
\(115\) 17.7838 + 1.86915i 1.65835 + 0.174300i
\(116\) −0.738140 0.0775817i −0.0685346 0.00720328i
\(117\) −4.50557 5.00394i −0.416540 0.462615i
\(118\) −0.682754 2.10130i −0.0628526 0.193440i
\(119\) −2.96395 3.79220i −0.271705 0.347631i
\(120\) 3.27149i 0.298645i
\(121\) −10.6776 + 2.64359i −0.970692 + 0.240327i
\(122\) 5.93783 3.42821i 0.537586 0.310375i
\(123\) 1.05353 2.36627i 0.0949939 0.213360i
\(124\) −1.00993 + 4.75136i −0.0906947 + 0.426685i
\(125\) −2.18621 0.710341i −0.195540 0.0635349i
\(126\) 2.19371 + 1.47907i 0.195431 + 0.131766i
\(127\) 7.74202 10.6560i 0.686994 0.945566i −0.312998 0.949754i \(-0.601333\pi\)
0.999991 + 0.00418833i \(0.00133319\pi\)
\(128\) 0.743145 0.669131i 0.0656853 0.0591433i
\(129\) 7.04354 7.82264i 0.620149 0.688745i
\(130\) −20.1240 8.95979i −1.76499 0.785826i
\(131\) 7.74911 13.4218i 0.677043 1.17267i −0.298825 0.954308i \(-0.596595\pi\)
0.975867 0.218364i \(-0.0700720\pi\)
\(132\) 1.29842 3.05190i 0.113013 0.265634i
\(133\) −4.81438 + 3.00962i −0.417460 + 0.260968i
\(134\) 7.13118 + 9.81523i 0.616040 + 0.847906i
\(135\) −3.20000 0.680181i −0.275412 0.0585407i
\(136\) −0.378228 1.77942i −0.0324328 0.152584i
\(137\) −0.0131915 + 0.125509i −0.00112703 + 0.0107230i −0.995071 0.0991655i \(-0.968383\pi\)
0.993944 + 0.109888i \(0.0350494\pi\)
\(138\) 4.99338 2.22320i 0.425065 0.189251i
\(139\) −1.32132 + 4.06659i −0.112073 + 0.344924i −0.991325 0.131432i \(-0.958043\pi\)
0.879253 + 0.476356i \(0.158043\pi\)
\(140\) 8.52434 + 1.50141i 0.720438 + 0.126892i
\(141\) 0.414023 0.300805i 0.0348670 0.0253324i
\(142\) 3.41877 + 1.97383i 0.286897 + 0.165640i
\(143\) 15.2172 + 16.3454i 1.27253 + 1.36687i
\(144\) 0.500000 + 0.866025i 0.0416667 + 0.0721688i
\(145\) −0.253808 2.41482i −0.0210776 0.200540i
\(146\) −4.17641 + 1.35700i −0.345642 + 0.112306i
\(147\) 4.86071 5.03721i 0.400904 0.415462i
\(148\) 8.24197 + 5.98814i 0.677486 + 0.492222i
\(149\) 0.932021 + 2.09335i 0.0763541 + 0.171494i 0.947689 0.319194i \(-0.103412\pi\)
−0.871335 + 0.490688i \(0.836745\pi\)
\(150\) −5.57803 + 1.18565i −0.455445 + 0.0968077i
\(151\) 5.23623 + 4.71472i 0.426118 + 0.383678i 0.854100 0.520109i \(-0.174109\pi\)
−0.427982 + 0.903787i \(0.640775\pi\)
\(152\) −2.13421 + 0.224314i −0.173107 + 0.0181943i
\(153\) 1.81918 0.147072
\(154\) −7.35628 4.78385i −0.592786 0.385493i
\(155\) −15.8913 −1.27642
\(156\) −6.69658 + 0.703839i −0.536156 + 0.0563522i
\(157\) 6.13061 + 5.52003i 0.489276 + 0.440546i 0.876473 0.481451i \(-0.159890\pi\)
−0.387197 + 0.921997i \(0.626557\pi\)
\(158\) −13.3514 + 2.83792i −1.06218 + 0.225773i
\(159\) −5.23315 11.7538i −0.415016 0.932140i
\(160\) 2.64669 + 1.92293i 0.209239 + 0.152021i
\(161\) −3.50121 14.0313i −0.275934 1.10582i
\(162\) −0.951057 + 0.309017i −0.0747221 + 0.0242787i
\(163\) 2.25992 + 21.5017i 0.177011 + 1.68414i 0.617645 + 0.786457i \(0.288087\pi\)
−0.440634 + 0.897687i \(0.645246\pi\)
\(164\) −1.29510 2.24319i −0.101131 0.175163i
\(165\) 10.6493 + 2.07909i 0.829043 + 0.161857i
\(166\) −6.19842 3.57866i −0.481091 0.277758i
\(167\) 7.68060 5.58028i 0.594343 0.431815i −0.249524 0.968369i \(-0.580274\pi\)
0.843866 + 0.536553i \(0.180274\pi\)
\(168\) 2.48602 0.905369i 0.191801 0.0698508i
\(169\) 9.99349 30.7568i 0.768730 2.36591i
\(170\) 5.43689 2.42066i 0.416990 0.185656i
\(171\) 0.224314 2.13421i 0.0171537 0.163207i
\(172\) −2.18856 10.2964i −0.166876 0.785091i
\(173\) 7.56366 + 1.60771i 0.575055 + 0.122232i 0.486254 0.873818i \(-0.338363\pi\)
0.0888010 + 0.996049i \(0.471696\pi\)
\(174\) −0.436258 0.600457i −0.0330726 0.0455206i
\(175\) 0.529402 + 15.0785i 0.0400190 + 1.13983i
\(176\) −1.70585 2.84431i −0.128583 0.214398i
\(177\) 1.10472 1.91343i 0.0830357 0.143822i
\(178\) 10.9936 + 4.89466i 0.824005 + 0.366870i
\(179\) −6.18396 + 6.86799i −0.462211 + 0.513337i −0.928519 0.371285i \(-0.878917\pi\)
0.466308 + 0.884623i \(0.345584\pi\)
\(180\) −2.43119 + 2.18905i −0.181210 + 0.163162i
\(181\) −7.50026 + 10.3232i −0.557490 + 0.767319i −0.991005 0.133827i \(-0.957273\pi\)
0.433515 + 0.901147i \(0.357273\pi\)
\(182\) −1.23936 + 17.7719i −0.0918678 + 1.31734i
\(183\) 6.52084 + 2.11875i 0.482034 + 0.156622i
\(184\) 1.13643 5.34650i 0.0837789 0.394149i
\(185\) −13.5560 + 30.4473i −0.996659 + 2.23853i
\(186\) −4.20673 + 2.42876i −0.308452 + 0.178085i
\(187\) −6.03269 + 0.100342i −0.441154 + 0.00733773i
\(188\) 0.511761i 0.0373240i
\(189\) 0.368712 + 2.61993i 0.0268198 + 0.190572i
\(190\) −2.16945 6.67689i −0.157389 0.484393i
\(191\) −3.79989 4.22020i −0.274950 0.305363i 0.589816 0.807538i \(-0.299200\pi\)
−0.864766 + 0.502174i \(0.832534\pi\)
\(192\) 0.994522 + 0.104528i 0.0717734 + 0.00754369i
\(193\) −3.45074 0.362687i −0.248390 0.0261068i −0.0204846 0.999790i \(-0.506521\pi\)
−0.227905 + 0.973683i \(0.573188\pi\)
\(194\) −4.97747 5.52804i −0.357362 0.396890i
\(195\) −6.80718 20.9503i −0.487472 1.50028i
\(196\) −1.21814 6.89320i −0.0870099 0.492371i
\(197\) 3.84574i 0.273998i 0.990571 + 0.136999i \(0.0437457\pi\)
−0.990571 + 0.136999i \(0.956254\pi\)
\(198\) 3.13682 1.07721i 0.222924 0.0765540i
\(199\) −12.2138 + 7.05166i −0.865816 + 0.499879i −0.865956 0.500121i \(-0.833289\pi\)
0.000139488 1.00000i \(0.499956\pi\)
\(200\) −2.31948 + 5.20963i −0.164012 + 0.368376i
\(201\) −2.52244 + 11.8672i −0.177919 + 0.837045i
\(202\) 3.44102 + 1.11806i 0.242109 + 0.0786661i
\(203\) −1.76479 + 0.861159i −0.123864 + 0.0604415i
\(204\) 1.06928 1.47174i 0.0748649 0.103043i
\(205\) 6.29729 5.67011i 0.439822 0.396018i
\(206\) −5.58014 + 6.19738i −0.388787 + 0.431792i
\(207\) 4.99338 + 2.22320i 0.347064 + 0.154523i
\(208\) −3.36674 + 5.83136i −0.233441 + 0.404332i
\(209\) −0.626145 + 7.08976i −0.0433114 + 0.490409i
\(210\) 4.58813 + 7.33946i 0.316611 + 0.506471i
\(211\) 16.3741 + 22.5370i 1.12724 + 1.55151i 0.793206 + 0.608953i \(0.208410\pi\)
0.334035 + 0.942561i \(0.391590\pi\)
\(212\) −12.5850 2.67503i −0.864343 0.183722i
\(213\) 0.820764 + 3.86139i 0.0562378 + 0.264578i
\(214\) −1.15606 + 10.9991i −0.0790263 + 0.751885i
\(215\) 31.4598 14.0068i 2.14554 0.955256i
\(216\) −0.309017 + 0.951057i −0.0210259 + 0.0647112i
\(217\) 4.39784 + 12.0759i 0.298545 + 0.819764i
\(218\) −5.30735 + 3.85601i −0.359459 + 0.261162i
\(219\) −3.80301 2.19567i −0.256984 0.148370i
\(220\) 7.94149 7.39337i 0.535415 0.498461i
\(221\) 6.12468 + 10.6083i 0.411991 + 0.713589i
\(222\) 1.06490 + 10.1318i 0.0714713 + 0.680004i
\(223\) 15.5082 5.03891i 1.03850 0.337430i 0.260357 0.965512i \(-0.416160\pi\)
0.778147 + 0.628082i \(0.216160\pi\)
\(224\) 0.728788 2.54340i 0.0486942 0.169938i
\(225\) −4.61354 3.35193i −0.307569 0.223462i
\(226\) −6.55415 14.7209i −0.435975 0.979217i
\(227\) −7.62246 + 1.62020i −0.505921 + 0.107537i −0.453799 0.891104i \(-0.649932\pi\)
−0.0521216 + 0.998641i \(0.516598\pi\)
\(228\) −1.59476 1.43593i −0.105616 0.0950968i
\(229\) −5.32729 + 0.559920i −0.352037 + 0.0370006i −0.278897 0.960321i \(-0.589969\pi\)
−0.0731402 + 0.997322i \(0.523302\pi\)
\(230\) 17.8818 1.17909
\(231\) −1.36722 8.66780i −0.0899565 0.570299i
\(232\) −0.742206 −0.0487282
\(233\) 13.0129 1.36771i 0.852504 0.0896018i 0.331811 0.943346i \(-0.392340\pi\)
0.520693 + 0.853744i \(0.325674\pi\)
\(234\) −5.00394 4.50557i −0.327118 0.294538i
\(235\) 1.63763 0.348090i 0.106827 0.0227069i
\(236\) −0.898659 2.01842i −0.0584977 0.131388i
\(237\) −11.0428 8.02305i −0.717306 0.521153i
\(238\) −3.34410 3.46161i −0.216766 0.224383i
\(239\) 19.6296 6.37804i 1.26973 0.412561i 0.404779 0.914414i \(-0.367348\pi\)
0.864953 + 0.501853i \(0.167348\pi\)
\(240\) 0.341964 + 3.25357i 0.0220737 + 0.210017i
\(241\) 8.29440 + 14.3663i 0.534289 + 0.925416i 0.999197 + 0.0400572i \(0.0127540\pi\)
−0.464908 + 0.885359i \(0.653913\pi\)
\(242\) −10.3428 + 3.74523i −0.664860 + 0.240752i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 5.54696 4.03010i 0.355108 0.258001i
\(245\) 21.2297 8.58667i 1.35631 0.548582i
\(246\) 0.800419 2.46343i 0.0510328 0.157063i
\(247\) 13.2005 5.87726i 0.839930 0.373961i
\(248\) −0.507748 + 4.83090i −0.0322420 + 0.306763i
\(249\) −1.48809 7.00092i −0.0943039 0.443665i
\(250\) −2.24848 0.477929i −0.142206 0.0302269i
\(251\) −12.7538 17.5542i −0.805015 1.10801i −0.992073 0.125660i \(-0.959895\pi\)
0.187058 0.982349i \(-0.440105\pi\)
\(252\) 2.33629 + 1.24166i 0.147173 + 0.0782175i
\(253\) −16.6815 7.09707i −1.04876 0.446189i
\(254\) 6.58576 11.4069i 0.413227 0.715731i
\(255\) 5.43689 + 2.42066i 0.340471 + 0.151588i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) −0.241776 + 0.217696i −0.0150815 + 0.0135795i −0.676637 0.736317i \(-0.736563\pi\)
0.661555 + 0.749896i \(0.269897\pi\)
\(258\) 6.18727 8.51604i 0.385202 0.530186i
\(259\) 26.8886 + 1.87514i 1.67078 + 0.116515i
\(260\) −20.9503 6.80718i −1.29928 0.422163i
\(261\) 0.154313 0.725987i 0.00955176 0.0449375i
\(262\) 6.30369 14.1583i 0.389443 0.874704i
\(263\) 4.54165 2.62212i 0.280050 0.161687i −0.353396 0.935474i \(-0.614973\pi\)
0.633446 + 0.773787i \(0.281640\pi\)
\(264\) 0.972293 3.17091i 0.0598405 0.195156i
\(265\) 42.0916i 2.58567i
\(266\) −4.47342 + 3.49638i −0.274283 + 0.214377i
\(267\) 3.71871 + 11.4450i 0.227581 + 0.700423i
\(268\) 8.11808 + 9.01605i 0.495891 + 0.550743i
\(269\) 3.13407 + 0.329404i 0.191088 + 0.0200841i 0.199589 0.979880i \(-0.436039\pi\)
−0.00850117 + 0.999964i \(0.502706\pi\)
\(270\) −3.25357 0.341964i −0.198006 0.0208113i
\(271\) −12.9156 14.3443i −0.784568 0.871351i 0.209755 0.977754i \(-0.432733\pi\)
−0.994323 + 0.106403i \(0.966067\pi\)
\(272\) −0.562156 1.73014i −0.0340857 0.104905i
\(273\) −14.0364 + 10.9707i −0.849522 + 0.663978i
\(274\) 0.126200i 0.00762404i
\(275\) 15.4842 + 10.8611i 0.933730 + 0.654949i
\(276\) 4.73364 2.73297i 0.284932 0.164505i
\(277\) −11.3252 + 25.4367i −0.680464 + 1.52835i 0.160373 + 0.987057i \(0.448730\pi\)
−0.840836 + 0.541290i \(0.817936\pi\)
\(278\) −0.889003 + 4.18243i −0.0533189 + 0.250846i
\(279\) −4.61977 1.50105i −0.276578 0.0898657i
\(280\) 8.63458 + 0.602151i 0.516015 + 0.0359854i
\(281\) −16.9956 + 23.3924i −1.01387 + 1.39547i −0.0974564 + 0.995240i \(0.531071\pi\)
−0.916414 + 0.400233i \(0.868929\pi\)
\(282\) 0.380312 0.342435i 0.0226473 0.0203917i
\(283\) −4.54453 + 5.04721i −0.270144 + 0.300026i −0.862919 0.505343i \(-0.831366\pi\)
0.592774 + 0.805369i \(0.298033\pi\)
\(284\) 3.60637 + 1.60566i 0.213998 + 0.0952782i
\(285\) 3.51025 6.07993i 0.207929 0.360144i
\(286\) 16.8424 + 14.6652i 0.995914 + 0.867172i
\(287\) −6.05149 3.21617i −0.357208 0.189844i
\(288\) 0.587785 + 0.809017i 0.0346356 + 0.0476718i
\(289\) 13.3914 + 2.84644i 0.787731 + 0.167437i
\(290\) −0.504835 2.37506i −0.0296449 0.139468i
\(291\) 0.777557 7.39796i 0.0455812 0.433676i
\(292\) −4.01169 + 1.78612i −0.234766 + 0.104525i
\(293\) −5.56654 + 17.1320i −0.325201 + 1.00086i 0.646149 + 0.763211i \(0.276378\pi\)
−0.971350 + 0.237654i \(0.923622\pi\)
\(294\) 4.30755 5.51770i 0.251221 0.321799i
\(295\) 5.84770 4.24860i 0.340466 0.247363i
\(296\) 8.82275 + 5.09382i 0.512812 + 0.296072i
\(297\) 2.89946 + 1.61031i 0.168244 + 0.0934399i
\(298\) 1.14573 + 1.98446i 0.0663704 + 0.114957i
\(299\) 3.84714 + 36.6031i 0.222486 + 2.11681i
\(300\) −5.42354 + 1.76222i −0.313128 + 0.101742i
\(301\) −19.3502 20.0301i −1.11533 1.15452i
\(302\) 5.70036 + 4.14156i 0.328019 + 0.238320i
\(303\) 1.47162 + 3.30530i 0.0845421 + 0.189885i
\(304\) −2.09907 + 0.446171i −0.120390 + 0.0255897i
\(305\) 16.6693 + 15.0091i 0.954479 + 0.859417i
\(306\) 1.80921 0.190156i 0.103426 0.0108705i
\(307\) 8.15091 0.465197 0.232598 0.972573i \(-0.425277\pi\)
0.232598 + 0.972573i \(0.425277\pi\)
\(308\) −7.81603 3.98870i −0.445359 0.227277i
\(309\) −8.33939 −0.474412
\(310\) −15.8043 + 1.66109i −0.897621 + 0.0943438i
\(311\) 24.8326 + 22.3594i 1.40813 + 1.26788i 0.918197 + 0.396124i \(0.129645\pi\)
0.489931 + 0.871761i \(0.337022\pi\)
\(312\) −6.58633 + 1.39997i −0.372877 + 0.0792575i
\(313\) 1.55391 + 3.49013i 0.0878319 + 0.197274i 0.952121 0.305722i \(-0.0988978\pi\)
−0.864289 + 0.502996i \(0.832231\pi\)
\(314\) 6.67403 + 4.84897i 0.376637 + 0.273643i
\(315\) −2.38422 + 8.32070i −0.134336 + 0.468818i
\(316\) −12.9816 + 4.21797i −0.730270 + 0.237279i
\(317\) −0.579281 5.51149i −0.0325356 0.309556i −0.998672 0.0515232i \(-0.983592\pi\)
0.966136 0.258033i \(-0.0830743\pi\)
\(318\) −6.43309 11.1424i −0.360750 0.624837i
\(319\) −0.471685 + 2.41601i −0.0264093 + 0.135270i
\(320\) 2.83319 + 1.63575i 0.158380 + 0.0914409i
\(321\) −8.94750 + 6.50074i −0.499401 + 0.362836i
\(322\) −4.94869 13.5884i −0.275780 0.757255i
\(323\) −1.20637 + 3.71282i −0.0671241 + 0.206587i
\(324\) −0.913545 + 0.406737i −0.0507525 + 0.0225965i
\(325\) 4.01375 38.1883i 0.222643 2.11830i
\(326\) 4.49508 + 21.1477i 0.248960 + 1.17126i
\(327\) −6.41689 1.36395i −0.354855 0.0754267i
\(328\) −1.52249 2.09552i −0.0840653 0.115706i
\(329\) −0.717723 1.14811i −0.0395693 0.0632976i
\(330\) 10.8082 + 0.954549i 0.594974 + 0.0525462i
\(331\) 0.226069 0.391563i 0.0124259 0.0215222i −0.859746 0.510723i \(-0.829378\pi\)
0.872171 + 0.489200i \(0.162711\pi\)
\(332\) −6.53854 2.91114i −0.358849 0.159770i
\(333\) −6.81686 + 7.57089i −0.373561 + 0.414882i
\(334\) 7.05523 6.35255i 0.386045 0.347596i
\(335\) −23.3296 + 32.1104i −1.27463 + 1.75438i
\(336\) 2.37777 1.16027i 0.129718 0.0632979i
\(337\) −6.64249 2.15828i −0.361839 0.117569i 0.122455 0.992474i \(-0.460923\pi\)
−0.484294 + 0.874905i \(0.660923\pi\)
\(338\) 6.72379 31.6329i 0.365726 1.72060i
\(339\) 6.55415 14.7209i 0.355972 0.799527i
\(340\) 5.15408 2.97571i 0.279519 0.161380i
\(341\) 15.4027 + 4.72293i 0.834104 + 0.255761i
\(342\) 2.14596i 0.116040i
\(343\) −12.4003 13.7562i −0.669551 0.742766i
\(344\) −3.25284 10.0112i −0.175381 0.539768i
\(345\) 11.9652 + 13.2887i 0.644187 + 0.715442i
\(346\) 7.69028 + 0.808281i 0.413432 + 0.0434534i
\(347\) 13.3376 + 1.40183i 0.715997 + 0.0752544i 0.455520 0.890226i \(-0.349453\pi\)
0.260477 + 0.965480i \(0.416120\pi\)
\(348\) −0.496633 0.551567i −0.0266223 0.0295671i
\(349\) 3.98850 + 12.2753i 0.213500 + 0.657084i 0.999257 + 0.0385489i \(0.0122735\pi\)
−0.785757 + 0.618535i \(0.787726\pi\)
\(350\) 2.10263 + 14.9406i 0.112391 + 0.798607i
\(351\) 6.73347i 0.359406i
\(352\) −1.99382 2.65041i −0.106271 0.141268i
\(353\) −26.8519 + 15.5029i −1.42918 + 0.825137i −0.997056 0.0766769i \(-0.975569\pi\)
−0.432124 + 0.901814i \(0.642236\pi\)
\(354\) 0.898659 2.01842i 0.0477632 0.107278i
\(355\) −2.68512 + 12.6325i −0.142512 + 0.670464i
\(356\) 11.4450 + 3.71871i 0.606584 + 0.197091i
\(357\) 0.334838 4.80143i 0.0177215 0.254118i
\(358\) −5.43219 + 7.47676i −0.287100 + 0.395159i
\(359\) 8.23335 7.41334i 0.434540 0.391261i −0.422624 0.906305i \(-0.638891\pi\)
0.857164 + 0.515044i \(0.172224\pi\)
\(360\) −2.18905 + 2.43119i −0.115373 + 0.128135i
\(361\) −13.1503 5.85491i −0.692123 0.308153i
\(362\) −6.38010 + 11.0507i −0.335331 + 0.580810i
\(363\) −9.70392 5.18014i −0.509324 0.271887i
\(364\) 0.625097 + 17.8041i 0.0327640 + 0.933189i
\(365\) −8.44425 11.6225i −0.441992 0.608350i
\(366\) 6.70659 + 1.42553i 0.350559 + 0.0745136i
\(367\) 0.211572 + 0.995368i 0.0110440 + 0.0519578i 0.983325 0.181859i \(-0.0582116\pi\)
−0.972281 + 0.233817i \(0.924878\pi\)
\(368\) 0.571346 5.43600i 0.0297835 0.283371i
\(369\) 2.36627 1.05353i 0.123183 0.0548447i
\(370\) −10.2991 + 31.6975i −0.535427 + 1.64788i
\(371\) −31.9856 + 11.6486i −1.66061 + 0.604768i
\(372\) −3.92981 + 2.85517i −0.203751 + 0.148034i
\(373\) −13.4351 7.75679i −0.695646 0.401631i 0.110078 0.993923i \(-0.464890\pi\)
−0.805724 + 0.592292i \(0.798223\pi\)
\(374\) −5.98915 + 0.730380i −0.309692 + 0.0377670i
\(375\) −1.14936 1.99074i −0.0593525 0.102802i
\(376\) −0.0534936 0.508957i −0.00275872 0.0262475i
\(377\) 4.75302 1.54435i 0.244793 0.0795381i
\(378\) 0.640550 + 2.56704i 0.0329463 + 0.132034i
\(379\) 18.0713 + 13.1295i 0.928258 + 0.674419i 0.945566 0.325431i \(-0.105509\pi\)
−0.0173075 + 0.999850i \(0.505509\pi\)
\(380\) −2.85550 6.41355i −0.146484 0.329008i
\(381\) 12.8837 2.73851i 0.660051 0.140298i
\(382\) −4.22020 3.79989i −0.215924 0.194419i
\(383\) −21.0012 + 2.20732i −1.07311 + 0.112789i −0.624567 0.780971i \(-0.714724\pi\)
−0.448546 + 0.893760i \(0.648058\pi\)
\(384\) 1.00000 0.0510310
\(385\) 7.44753 27.7243i 0.379561 1.41296i
\(386\) −3.46975 −0.176605
\(387\) 10.4687 1.10031i 0.532156 0.0559318i
\(388\) −5.52804 4.97747i −0.280644 0.252693i
\(389\) 36.5214 7.76287i 1.85171 0.393593i 0.858784 0.512337i \(-0.171220\pi\)
0.992925 + 0.118744i \(0.0378868\pi\)
\(390\) −8.95979 20.1240i −0.453697 1.01902i
\(391\) −8.04447 5.84465i −0.406826 0.295576i
\(392\) −1.93200 6.72810i −0.0975808 0.339821i
\(393\) 14.7397 4.78921i 0.743518 0.241584i
\(394\) 0.401989 + 3.82467i 0.0202519 + 0.192684i
\(395\) −22.3273 38.6721i −1.12341 1.94580i
\(396\) 3.00703 1.39920i 0.151109 0.0703122i
\(397\) 5.78726 + 3.34128i 0.290454 + 0.167694i 0.638147 0.769915i \(-0.279701\pi\)
−0.347692 + 0.937609i \(0.613035\pi\)
\(398\) −11.4098 + 8.28973i −0.571923 + 0.415527i
\(399\) −5.59162 0.984865i −0.279931 0.0493049i
\(400\) −1.76222 + 5.42354i −0.0881108 + 0.271177i
\(401\) −9.36961 + 4.17162i −0.467896 + 0.208321i −0.627121 0.778922i \(-0.715767\pi\)
0.159225 + 0.987242i \(0.449100\pi\)
\(402\) −1.26817 + 12.0658i −0.0632505 + 0.601789i
\(403\) −6.80036 31.9932i −0.338750 1.59369i
\(404\) 3.53904 + 0.752246i 0.176074 + 0.0374256i
\(405\) −1.92293 2.64669i −0.0955514 0.131515i
\(406\) −1.66511 + 1.04091i −0.0826380 + 0.0516596i
\(407\) 22.1882 25.4823i 1.09983 1.26311i
\(408\) 0.909588 1.57545i 0.0450313 0.0779965i
\(409\) −28.6581 12.7594i −1.41705 0.630912i −0.451773 0.892133i \(-0.649208\pi\)
−0.965279 + 0.261221i \(0.915875\pi\)
\(410\) 5.67011 6.29729i 0.280027 0.311001i
\(411\) −0.0937851 + 0.0844445i −0.00462608 + 0.00416534i
\(412\) −4.90177 + 6.74671i −0.241493 + 0.332387i
\(413\) −4.84686 3.26791i −0.238498 0.160804i
\(414\) 5.19842 + 1.68907i 0.255488 + 0.0830132i
\(415\) 4.86827 22.9034i 0.238974 1.12429i
\(416\) −2.73875 + 6.15133i −0.134278 + 0.301594i
\(417\) −3.70301 + 2.13793i −0.181337 + 0.104695i
\(418\) 0.118367 + 7.11637i 0.00578951 + 0.348073i
\(419\) 1.47858i 0.0722331i 0.999348 + 0.0361166i \(0.0114988\pi\)
−0.999348 + 0.0361166i \(0.988501\pi\)
\(420\) 5.33018 + 6.81966i 0.260086 + 0.332765i
\(421\) −5.85225 18.0114i −0.285221 0.877820i −0.986332 0.164768i \(-0.947312\pi\)
0.701111 0.713052i \(-0.252688\pi\)
\(422\) 18.6402 + 20.7020i 0.907390 + 1.00776i
\(423\) 0.508957 + 0.0534936i 0.0247463 + 0.00260095i
\(424\) −12.7957 1.34488i −0.621414 0.0653132i
\(425\) 6.94164 + 7.70948i 0.336719 + 0.373964i
\(426\) 1.21989 + 3.75445i 0.0591040 + 0.181904i
\(427\) 6.79233 16.8207i 0.328704 0.814013i
\(428\) 11.0597i 0.534592i
\(429\) 0.371404 + 22.3293i 0.0179316 + 1.07807i
\(430\) 29.8233 17.2185i 1.43821 0.830351i
\(431\) 6.70592 15.0617i 0.323013 0.725499i −0.676931 0.736046i \(-0.736691\pi\)
0.999944 + 0.0105472i \(0.00335734\pi\)
\(432\) −0.207912 + 0.978148i −0.0100032 + 0.0470611i
\(433\) −30.8870 10.0358i −1.48434 0.482290i −0.548931 0.835868i \(-0.684965\pi\)
−0.935405 + 0.353578i \(0.884965\pi\)
\(434\) 5.63602 + 11.5500i 0.270538 + 0.554419i
\(435\) 1.42721 1.96439i 0.0684296 0.0941853i
\(436\) −4.87521 + 4.38966i −0.233480 + 0.210227i
\(437\) −7.84871 + 8.71687i −0.375455 + 0.416985i
\(438\) −4.01169 1.78612i −0.191686 0.0853440i
\(439\) 2.79577 4.84242i 0.133435 0.231116i −0.791564 0.611087i \(-0.790733\pi\)
0.924998 + 0.379971i \(0.124066\pi\)
\(440\) 7.12517 8.18298i 0.339679 0.390108i
\(441\) 6.98276 0.490931i 0.332513 0.0233777i
\(442\) 7.20000 + 9.90994i 0.342469 + 0.471368i
\(443\) −10.7311 2.28097i −0.509850 0.108372i −0.0541985 0.998530i \(-0.517260\pi\)
−0.455652 + 0.890158i \(0.650594\pi\)
\(444\) 2.11813 + 9.96501i 0.100522 + 0.472918i
\(445\) −4.11519 + 39.1534i −0.195079 + 1.85605i
\(446\) 14.8965 6.63235i 0.705370 0.314051i
\(447\) −0.708100 + 2.17931i −0.0334920 + 0.103078i
\(448\) 0.458938 2.60564i 0.0216828 0.123105i
\(449\) −5.76821 + 4.19085i −0.272219 + 0.197778i −0.715516 0.698596i \(-0.753808\pi\)
0.443298 + 0.896374i \(0.353808\pi\)
\(450\) −4.93864 2.85133i −0.232810 0.134413i
\(451\) −7.78884 + 3.62421i −0.366762 + 0.170657i
\(452\) −8.05699 13.9551i −0.378969 0.656394i
\(453\) 0.736512 + 7.00744i 0.0346043 + 0.329238i
\(454\) −7.41135 + 2.40809i −0.347832 + 0.113017i
\(455\) −56.5480 + 14.1103i −2.65101 + 0.661503i
\(456\) −1.73612 1.26137i −0.0813013 0.0590689i
\(457\) −0.205473 0.461499i −0.00961161 0.0215880i 0.908676 0.417502i \(-0.137094\pi\)
−0.918287 + 0.395914i \(0.870428\pi\)
\(458\) −5.23958 + 1.11371i −0.244829 + 0.0520401i
\(459\) 1.35191 + 1.21727i 0.0631018 + 0.0568171i
\(460\) 17.7838 1.86915i 0.829175 0.0871498i
\(461\) 27.6728 1.28885 0.644425 0.764667i \(-0.277097\pi\)
0.644425 + 0.764667i \(0.277097\pi\)
\(462\) −2.26576 8.47740i −0.105413 0.394404i
\(463\) −16.4760 −0.765704 −0.382852 0.923810i \(-0.625058\pi\)
−0.382852 + 0.923810i \(0.625058\pi\)
\(464\) −0.738140 + 0.0775817i −0.0342673 + 0.00360164i
\(465\) −11.8095 10.6334i −0.547654 0.493110i
\(466\) 12.7987 2.72044i 0.592886 0.126022i
\(467\) −14.2220 31.9432i −0.658116 1.47815i −0.866023 0.500004i \(-0.833332\pi\)
0.207907 0.978149i \(-0.433335\pi\)
\(468\) −5.44749 3.95783i −0.251810 0.182951i
\(469\) 30.8572 + 8.84186i 1.42485 + 0.408279i
\(470\) 1.59228 0.517362i 0.0734463 0.0238642i
\(471\) 0.862313 + 8.20436i 0.0397333 + 0.378037i
\(472\) −1.10472 1.91343i −0.0508488 0.0880727i
\(473\) −34.6554 + 4.22624i −1.59346 + 0.194323i
\(474\) −11.8209 6.82482i −0.542953 0.313474i
\(475\) 9.90049 7.19313i 0.454266 0.330043i
\(476\) −3.68762 3.09310i −0.169022 0.141772i
\(477\) 3.97587 12.2365i 0.182043 0.560269i
\(478\) 18.8554 8.39495i 0.862424 0.383976i
\(479\) 1.72541 16.4162i 0.0788359 0.750073i −0.881680 0.471848i \(-0.843587\pi\)
0.960516 0.278225i \(-0.0897462\pi\)
\(480\) 0.680181 + 3.20000i 0.0310459 + 0.146059i
\(481\) −67.0991 14.2624i −3.05946 0.650307i
\(482\) 9.75065 + 13.4206i 0.444130 + 0.611293i
\(483\) 6.78686 12.7700i 0.308813 0.581057i
\(484\) −9.89465 + 4.80583i −0.449757 + 0.218447i
\(485\) 12.1678 21.0753i 0.552513 0.956981i
\(486\) −0.913545 0.406737i −0.0414393 0.0184499i
\(487\) 17.0420 18.9270i 0.772246 0.857666i −0.220809 0.975317i \(-0.570870\pi\)
0.993055 + 0.117651i \(0.0375365\pi\)
\(488\) 5.09531 4.58784i 0.230654 0.207682i
\(489\) −12.7080 + 17.4911i −0.574676 + 0.790973i
\(490\) 20.2158 10.7587i 0.913258 0.486030i
\(491\) 22.5684 + 7.33293i 1.01850 + 0.330930i 0.770234 0.637762i \(-0.220140\pi\)
0.248265 + 0.968692i \(0.420140\pi\)
\(492\) 0.538535 2.53361i 0.0242790 0.114224i
\(493\) −0.549177 + 1.23347i −0.0247337 + 0.0555528i
\(494\) 12.5139 7.22489i 0.563026 0.325063i
\(495\) 6.52275 + 8.67080i 0.293176 + 0.389724i
\(496\) 4.85751i 0.218109i
\(497\) 10.3426 1.45555i 0.463929 0.0652903i
\(498\) −2.21173 6.80702i −0.0991102 0.305030i
\(499\) −6.13376 6.81224i −0.274585 0.304958i 0.590041 0.807373i \(-0.299111\pi\)
−0.864626 + 0.502416i \(0.832445\pi\)
\(500\) −2.28612 0.240281i −0.102238 0.0107457i
\(501\) 9.44174 + 0.992366i 0.421826 + 0.0443357i
\(502\) −14.5189 16.1249i −0.648010 0.719688i
\(503\) 3.47584 + 10.6975i 0.154980 + 0.476980i 0.998159 0.0606536i \(-0.0193185\pi\)
−0.843179 + 0.537633i \(0.819319\pi\)
\(504\) 2.45328 + 0.990653i 0.109278 + 0.0441272i
\(505\) 11.8366i 0.526721i
\(506\) −17.3320 5.31450i −0.770501 0.236258i
\(507\) 28.0069 16.1698i 1.24383 0.718126i
\(508\) 5.35734 12.0328i 0.237694 0.533868i
\(509\) 0.154434 0.726554i 0.00684516 0.0322040i −0.974592 0.223985i \(-0.928093\pi\)
0.981438 + 0.191782i \(0.0614265\pi\)
\(510\) 5.66013 + 1.83909i 0.250635 + 0.0814362i
\(511\) −6.49510 + 9.63330i −0.287326 + 0.426152i
\(512\) 0.587785 0.809017i 0.0259767 0.0357538i
\(513\) 1.59476 1.43593i 0.0704105 0.0633979i
\(514\) −0.217696 + 0.241776i −0.00960214 + 0.0106643i
\(515\) −24.9236 11.0967i −1.09826 0.488979i
\(516\) 5.26320 9.11613i 0.231700 0.401315i
\(517\) −1.69074 0.149321i −0.0743585 0.00656711i
\(518\) 26.9373 0.945762i 1.18356 0.0415544i
\(519\) 4.54513 + 6.25584i 0.199509 + 0.274601i
\(520\) −21.5471 4.57998i −0.944903 0.200845i
\(521\) 3.83883 + 18.0603i 0.168182 + 0.791234i 0.978663 + 0.205470i \(0.0658723\pi\)
−0.810481 + 0.585764i \(0.800794\pi\)
\(522\) 0.0775817 0.738140i 0.00339566 0.0323075i
\(523\) −17.9637 + 7.99794i −0.785496 + 0.349725i −0.759978 0.649949i \(-0.774790\pi\)
−0.0255183 + 0.999674i \(0.508124\pi\)
\(524\) 4.78921 14.7397i 0.209218 0.643906i
\(525\) −9.69607 + 11.5598i −0.423171 + 0.504509i
\(526\) 4.24268 3.08249i 0.184990 0.134403i
\(527\) 7.65278 + 4.41833i 0.333360 + 0.192466i
\(528\) 0.635517 3.25517i 0.0276573 0.141663i
\(529\) −3.43825 5.95523i −0.149489 0.258923i
\(530\) −4.39977 41.8610i −0.191114 1.81833i
\(531\) 2.10130 0.682754i 0.0911886 0.0296290i
\(532\) −4.08344 + 3.94482i −0.177040 + 0.171030i
\(533\) 14.1101 + 10.2516i 0.611178 + 0.444047i
\(534\) 4.89466 + 10.9936i 0.211813 + 0.475739i
\(535\) −35.3911 + 7.52261i −1.53009 + 0.325231i
\(536\) 9.01605 + 8.11808i 0.389434 + 0.350648i
\(537\) −9.19116 + 0.966030i −0.396628 + 0.0416873i
\(538\) 3.15133 0.135864
\(539\) −23.1289 + 2.01316i −0.996233 + 0.0867130i
\(540\) −3.27149 −0.140783
\(541\) 23.2736 2.44616i 1.00061 0.105169i 0.409967 0.912100i \(-0.365540\pi\)
0.590645 + 0.806932i \(0.298873\pi\)
\(542\) −14.3443 12.9156i −0.616138 0.554774i
\(543\) −12.4814 + 2.65300i −0.535627 + 0.113851i
\(544\) −0.739925 1.66190i −0.0317240 0.0712534i
\(545\) −17.3629 12.6149i −0.743747 0.540363i
\(546\) −12.8128 + 12.3778i −0.548336 + 0.529722i
\(547\) −13.5664 + 4.40800i −0.580058 + 0.188472i −0.584327 0.811519i \(-0.698641\pi\)
0.00426837 + 0.999991i \(0.498641\pi\)
\(548\) 0.0131915 + 0.125509i 0.000563514 + 0.00536148i
\(549\) 3.42821 + 5.93783i 0.146312 + 0.253420i
\(550\) 16.5346 + 9.18306i 0.705039 + 0.391567i
\(551\) 1.37936 + 0.796374i 0.0587627 + 0.0339267i
\(552\) 4.42204 3.21280i 0.188214 0.136746i
\(553\) −23.2081 + 27.6689i −0.986909 + 1.17660i
\(554\) −8.60427 + 26.4812i −0.365560 + 1.12508i
\(555\) −30.4473 + 13.5560i −1.29242 + 0.575421i
\(556\) −0.446950 + 4.25245i −0.0189549 + 0.180344i
\(557\) 4.60367 + 21.6586i 0.195064 + 0.917703i 0.961377 + 0.275236i \(0.0887559\pi\)
−0.766313 + 0.642468i \(0.777911\pi\)
\(558\) −4.75136 1.00993i −0.201141 0.0427539i
\(559\) 41.6618 + 57.3425i 1.76211 + 2.42533i
\(560\) 8.65022 0.303707i 0.365539 0.0128340i
\(561\) −4.55030 3.96209i −0.192114 0.167279i
\(562\) −14.4573 + 25.0408i −0.609844 + 1.05628i
\(563\) −40.5303 18.0453i −1.70815 0.760517i −0.998429 0.0560351i \(-0.982154\pi\)
−0.709721 0.704482i \(-0.751179\pi\)
\(564\) 0.342435 0.380312i 0.0144191 0.0160140i
\(565\) 39.1762 35.2744i 1.64815 1.48400i
\(566\) −3.99206 + 5.49460i −0.167799 + 0.230955i
\(567\) −1.47907 + 2.19371i −0.0621152 + 0.0921270i
\(568\) 3.75445 + 1.21989i 0.157533 + 0.0511856i
\(569\) 5.66936 26.6722i 0.237672 1.11816i −0.683787 0.729682i \(-0.739668\pi\)
0.921459 0.388476i \(-0.126998\pi\)
\(570\) 2.85550 6.41355i 0.119604 0.268634i
\(571\) −9.79760 + 5.65665i −0.410017 + 0.236723i −0.690797 0.723049i \(-0.742740\pi\)
0.280780 + 0.959772i \(0.409407\pi\)
\(572\) 18.2831 + 12.8244i 0.764455 + 0.536214i
\(573\) 5.67884i 0.237237i
\(574\) −6.35452 2.56600i −0.265233 0.107103i
\(575\) 9.63217 + 29.6448i 0.401689 + 1.23627i
\(576\) 0.669131 + 0.743145i 0.0278804 + 0.0309644i
\(577\) 19.5025 + 2.04979i 0.811898 + 0.0853339i 0.501373 0.865231i \(-0.332828\pi\)
0.310525 + 0.950565i \(0.399495\pi\)
\(578\) 13.6156 + 1.43106i 0.566334 + 0.0595241i
\(579\) −2.32171 2.57852i −0.0964871 0.107160i
\(580\) −0.750331 2.30928i −0.0311558 0.0958876i
\(581\) −18.7517 + 2.63899i −0.777952 + 0.109484i
\(582\) 7.43871i 0.308345i
\(583\) −12.5097 + 40.7975i −0.518099 + 1.68966i
\(584\) −3.80301 + 2.19567i −0.157370 + 0.0908574i
\(585\) 8.95979 20.1240i 0.370442 0.832026i
\(586\) −3.74526 + 17.6201i −0.154715 + 0.727878i
\(587\) −14.7976 4.80804i −0.610764 0.198449i −0.0127284 0.999919i \(-0.504052\pi\)
−0.598035 + 0.801470i \(0.704052\pi\)
\(588\) 3.70719 5.93774i 0.152882 0.244868i
\(589\) 6.12710 8.43323i 0.252463 0.347485i
\(590\) 5.37156 4.83658i 0.221144 0.199119i
\(591\) −2.57330 + 2.85794i −0.105852 + 0.117560i
\(592\) 9.30687 + 4.14368i 0.382510 + 0.170304i
\(593\) 10.4757 18.1445i 0.430187 0.745106i −0.566702 0.823923i \(-0.691781\pi\)
0.996889 + 0.0788169i \(0.0251142\pi\)
\(594\) 3.05190 + 1.29842i 0.125221 + 0.0532747i
\(595\) 7.38966 13.9043i 0.302947 0.570019i
\(596\) 1.34689 + 1.85383i 0.0551706 + 0.0759359i
\(597\) −13.7951 2.93225i −0.564597 0.120009i
\(598\) 7.65214 + 36.0005i 0.312919 + 1.47217i
\(599\) −0.204752 + 1.94809i −0.00836595 + 0.0795967i −0.997908 0.0646464i \(-0.979408\pi\)
0.989542 + 0.144243i \(0.0460747\pi\)
\(600\) −5.20963 + 2.31948i −0.212682 + 0.0946922i
\(601\) 14.7021 45.2486i 0.599713 1.84573i 0.0700055 0.997547i \(-0.477698\pi\)
0.529708 0.848180i \(-0.322302\pi\)
\(602\) −21.3379 17.8978i −0.869668 0.729459i
\(603\) −9.81523 + 7.13118i −0.399707 + 0.290404i
\(604\) 6.10205 + 3.52302i 0.248289 + 0.143350i
\(605\) −22.1088 28.3940i −0.898851 1.15438i
\(606\) 1.80905 + 3.13337i 0.0734877 + 0.127284i
\(607\) 1.25967 + 11.9850i 0.0511285 + 0.486455i 0.989885 + 0.141873i \(0.0453126\pi\)
−0.938756 + 0.344582i \(0.888021\pi\)
\(608\) −2.04093 + 0.663139i −0.0827708 + 0.0268939i
\(609\) −1.88773 0.540911i −0.0764945 0.0219188i
\(610\) 18.1468 + 13.1844i 0.734743 + 0.533822i
\(611\) 1.40158 + 3.14801i 0.0567020 + 0.127355i
\(612\) 1.77942 0.378228i 0.0719289 0.0152890i
\(613\) −7.70135 6.93432i −0.311054 0.280075i 0.498786 0.866725i \(-0.333779\pi\)
−0.809840 + 0.586651i \(0.800446\pi\)
\(614\) 8.10626 0.852002i 0.327142 0.0343840i
\(615\) 8.47384 0.341698
\(616\) −8.19014 3.14985i −0.329990 0.126911i
\(617\) −30.8158 −1.24060 −0.620299 0.784365i \(-0.712989\pi\)
−0.620299 + 0.784365i \(0.712989\pi\)
\(618\) −8.29371 + 0.871704i −0.333622 + 0.0350651i
\(619\) −2.75737 2.48275i −0.110828 0.0997901i 0.611854 0.790971i \(-0.290424\pi\)
−0.722682 + 0.691181i \(0.757091\pi\)
\(620\) −15.5440 + 3.30399i −0.624264 + 0.132691i
\(621\) 2.22320 + 4.99338i 0.0892139 + 0.200378i
\(622\) 27.0338 + 19.6412i 1.08396 + 0.787540i
\(623\) 30.8917 7.70836i 1.23765 0.308829i
\(624\) −6.40391 + 2.08076i −0.256362 + 0.0832969i
\(625\) 2.19437 + 20.8780i 0.0877748 + 0.835121i
\(626\) 1.91021 + 3.30858i 0.0763474 + 0.132238i
\(627\) −5.20929 + 4.84975i −0.208039 + 0.193680i
\(628\) 7.14432 + 4.12478i 0.285090 + 0.164597i
\(629\) 14.9936 10.8935i 0.597834 0.434351i
\(630\) −1.50141 + 8.52434i −0.0598177 + 0.339618i
\(631\) −4.55896 + 14.0311i −0.181490 + 0.558567i −0.999870 0.0161091i \(-0.994872\pi\)
0.818381 + 0.574676i \(0.194872\pi\)
\(632\) −12.4696 + 5.55181i −0.496012 + 0.220839i
\(633\) −2.91188 + 27.7047i −0.115737 + 1.10116i
\(634\) −1.15221 5.42074i −0.0457603 0.215285i
\(635\) 42.1489 + 8.95902i 1.67263 + 0.355528i
\(636\) −7.56255 10.4090i −0.299875 0.412742i
\(637\) 26.3719 + 39.0661i 1.04489 + 1.54786i
\(638\) −0.216559 + 2.45208i −0.00857367 + 0.0970786i
\(639\) −1.97383 + 3.41877i −0.0780835 + 0.135245i
\(640\) 2.98866 + 1.33064i 0.118137 + 0.0525980i
\(641\) 19.0749 21.1848i 0.753412 0.836749i −0.237482 0.971392i \(-0.576322\pi\)
0.990894 + 0.134643i \(0.0429887\pi\)
\(642\) −8.21897 + 7.40039i −0.324377 + 0.292070i
\(643\) 15.0738 20.7474i 0.594454 0.818196i −0.400732 0.916195i \(-0.631244\pi\)
0.995187 + 0.0979989i \(0.0312442\pi\)
\(644\) −6.34197 12.9967i −0.249908 0.512143i
\(645\) 32.7516 + 10.6416i 1.28959 + 0.419014i
\(646\) −0.811663 + 3.81858i −0.0319345 + 0.150240i
\(647\) 8.50461 19.1017i 0.334351 0.750964i −0.665638 0.746275i \(-0.731841\pi\)
0.999989 0.00468953i \(-0.00149273\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) −6.93060 + 2.38003i −0.272050 + 0.0934242i
\(650\) 38.3986i 1.50612i
\(651\) −4.81211 + 11.9169i −0.188601 + 0.467059i
\(652\) 6.68099 + 20.5620i 0.261648 + 0.805269i
\(653\) 6.49730 + 7.21598i 0.254259 + 0.282383i 0.856738 0.515751i \(-0.172487\pi\)
−0.602479 + 0.798134i \(0.705820\pi\)
\(654\) −6.52430 0.685732i −0.255121 0.0268142i
\(655\) 50.4245 + 5.29983i 1.97025 + 0.207081i
\(656\) −1.73319 1.92490i −0.0676696 0.0751547i
\(657\) −1.35700 4.17641i −0.0529415 0.162937i
\(658\) −0.833802 1.06680i −0.0325050 0.0415883i
\(659\) 12.9861i 0.505867i −0.967484 0.252934i \(-0.918605\pi\)
0.967484 0.252934i \(-0.0813954\pi\)
\(660\) 10.8488 0.180449i 0.422289 0.00702395i
\(661\) 42.5025 24.5388i 1.65316 0.954450i 0.677392 0.735623i \(-0.263110\pi\)
0.975764 0.218827i \(-0.0702231\pi\)
\(662\) 0.183901 0.413048i 0.00714751 0.0160536i
\(663\) −2.54679 + 11.9817i −0.0989090 + 0.465330i
\(664\) −6.80702 2.21173i −0.264163 0.0858319i
\(665\) −15.4009 10.3838i −0.597222 0.402667i
\(666\) −5.98814 + 8.24197i −0.232036 + 0.319370i
\(667\) −3.01483 + 2.71457i −0.116735 + 0.105108i
\(668\) 6.35255 7.05523i 0.245788 0.272975i
\(669\) 14.8965 + 6.63235i 0.575932 + 0.256422i
\(670\) −19.8453 + 34.3731i −0.766692 + 1.32795i
\(671\) −11.6960 19.5017i −0.451520 0.752856i
\(672\) 2.24346 1.40246i 0.0865433 0.0541010i
\(673\) 20.0426 + 27.5863i 0.772586 + 1.06337i 0.996062 + 0.0886640i \(0.0282597\pi\)
−0.223475 + 0.974710i \(0.571740\pi\)
\(674\) −6.83170 1.45212i −0.263147 0.0559337i
\(675\) −1.18565 5.57803i −0.0456356 0.214699i
\(676\) 3.38041 32.1625i 0.130016 1.23702i
\(677\) −35.9563 + 16.0088i −1.38191 + 0.615267i −0.957032 0.289983i \(-0.906350\pi\)
−0.424880 + 0.905250i \(0.639684\pi\)
\(678\) 4.97950 15.3253i 0.191236 0.588565i
\(679\) −19.3826 3.41391i −0.743837 0.131014i
\(680\) 4.81480 3.49815i 0.184639 0.134148i
\(681\) −6.74872 3.89638i −0.258612 0.149310i
\(682\) 15.8120 + 3.08703i 0.605473 + 0.118209i
\(683\) −0.788393 1.36554i −0.0301670 0.0522508i 0.850548 0.525898i \(-0.176271\pi\)
−0.880715 + 0.473647i \(0.842937\pi\)
\(684\) −0.224314 2.13421i −0.00857687 0.0816035i
\(685\) −0.392656 + 0.127582i −0.0150026 + 0.00487465i
\(686\) −13.7702 12.3847i −0.525751 0.472849i
\(687\) −4.33361 3.14855i −0.165337 0.120125i
\(688\) −4.28147 9.61635i −0.163230 0.366620i
\(689\) 84.7409 18.0122i 3.22837 0.686211i
\(690\) 13.2887 + 11.9652i 0.505894 + 0.455509i
\(691\) 11.1083 1.16752i 0.422578 0.0444147i 0.109147 0.994026i \(-0.465188\pi\)
0.313431 + 0.949611i \(0.398522\pi\)
\(692\) 7.73264 0.293951
\(693\) 4.78385 7.35628i 0.181723 0.279442i
\(694\) 13.4110 0.509075
\(695\) −13.9118 + 1.46219i −0.527706 + 0.0554641i
\(696\) −0.551567 0.496633i −0.0209071 0.0188248i
\(697\) −4.60908 + 0.979689i −0.174581 + 0.0371084i
\(698\) 5.24977 + 11.7912i 0.198707 + 0.446303i
\(699\) 10.5857 + 7.69093i 0.400386 + 0.290898i
\(700\) 3.65283 + 14.6389i 0.138064 + 0.553300i
\(701\) 46.9059 15.2407i 1.77161 0.575632i 0.773319 0.634018i \(-0.218595\pi\)
0.998294 + 0.0583859i \(0.0185954\pi\)
\(702\) −0.703839 6.69658i −0.0265647 0.252746i
\(703\) −10.9311 18.9333i −0.412276 0.714083i
\(704\) −2.25994 2.42748i −0.0851746 0.0914892i
\(705\) 1.44992 + 0.837110i 0.0546070 + 0.0315274i
\(706\) −25.0843 + 18.2248i −0.944058 + 0.685899i
\(707\) 8.99468 3.27572i 0.338280 0.123196i
\(708\) 0.682754 2.10130i 0.0256594 0.0789717i
\(709\) 22.8578 10.1769i 0.858441 0.382203i 0.0701733 0.997535i \(-0.477645\pi\)
0.788268 + 0.615332i \(0.210978\pi\)
\(710\) −1.34996 + 12.8440i −0.0506630 + 0.482026i
\(711\) −2.83792 13.3514i −0.106430 0.500715i
\(712\) 11.7710 + 2.50201i 0.441137 + 0.0937666i
\(713\) 15.6062 + 21.4801i 0.584457 + 0.804436i
\(714\) −0.168882 4.81012i −0.00632025 0.180014i
\(715\) −28.6022 + 67.2288i −1.06966 + 2.51421i
\(716\) −4.62089 + 8.00362i −0.172691 + 0.299109i
\(717\) 18.8554 + 8.39495i 0.704166 + 0.313515i
\(718\) 7.41334 8.23335i 0.276663 0.307266i
\(719\) −6.34316 + 5.71140i −0.236560 + 0.212999i −0.778881 0.627172i \(-0.784212\pi\)
0.542321 + 0.840171i \(0.317546\pi\)
\(720\) −1.92293 + 2.64669i −0.0716635 + 0.0986364i
\(721\) −1.53495 + 22.0105i −0.0571645 + 0.819714i
\(722\) −13.6903 4.44825i −0.509500 0.165547i
\(723\) −3.44901 + 16.2263i −0.128270 + 0.603462i
\(724\) −5.19004 + 11.6570i −0.192886 + 0.433230i
\(725\) 3.66549 2.11627i 0.136133 0.0785963i
\(726\) −10.1922 4.13743i −0.378269 0.153554i
\(727\) 21.2950i 0.789788i 0.918727 + 0.394894i \(0.129219\pi\)
−0.918727 + 0.394894i \(0.870781\pi\)
\(728\) 2.48271 + 17.6412i 0.0920154 + 0.653828i
\(729\) −0.309017 0.951057i −0.0114451 0.0352243i
\(730\) −9.61287 10.6762i −0.355788 0.395143i
\(731\) −19.0445 2.00166i −0.704385 0.0740339i
\(732\) 6.81886 + 0.716691i 0.252032 + 0.0264896i
\(733\) −1.93185 2.14553i −0.0713544 0.0792471i 0.706411 0.707802i \(-0.250313\pi\)
−0.777765 + 0.628555i \(0.783647\pi\)
\(734\) 0.314457 + 0.967800i 0.0116068 + 0.0357222i
\(735\) 21.5223 + 7.82429i 0.793863 + 0.288603i
\(736\) 5.46594i 0.201477i
\(737\) 32.1556 24.1896i 1.18447 0.891034i
\(738\) 2.24319 1.29510i 0.0825728 0.0476734i
\(739\) 12.4390 27.9385i 0.457577 1.02773i −0.526530 0.850156i \(-0.676507\pi\)
0.984107 0.177578i \(-0.0568261\pi\)
\(740\) −6.92944 + 32.6004i −0.254731 + 1.19842i
\(741\) 13.7426 + 4.46523i 0.504846 + 0.164034i
\(742\) −30.5928 + 14.9282i −1.12310 + 0.548033i
\(743\) −16.2631 + 22.3843i −0.596636 + 0.821199i −0.995395 0.0958566i \(-0.969441\pi\)
0.398759 + 0.917056i \(0.369441\pi\)
\(744\) −3.60984 + 3.25031i −0.132343 + 0.119162i
\(745\) −5.01613 + 5.57098i −0.183777 + 0.204105i
\(746\) −14.1724 6.30994i −0.518887 0.231023i
\(747\) 3.57866 6.19842i 0.130936 0.226788i
\(748\) −5.88000 + 1.35242i −0.214994 + 0.0494492i
\(749\) 15.5108 + 24.8120i 0.566752 + 0.906612i
\(750\) −1.35115 1.85970i −0.0493370 0.0679066i
\(751\) −10.0972 2.14623i −0.368453 0.0783171i 0.0199643 0.999801i \(-0.493645\pi\)
−0.388417 + 0.921484i \(0.626978\pi\)
\(752\) −0.106401 0.500577i −0.00388005 0.0182542i
\(753\) 2.26807 21.5793i 0.0826532 0.786392i
\(754\) 4.56556 2.03272i 0.166268 0.0740272i
\(755\) −7.12317 + 21.9228i −0.259239 + 0.797854i
\(756\) 0.905369 + 2.48602i 0.0329280 + 0.0904158i
\(757\) 19.2734 14.0029i 0.700503 0.508945i −0.179593 0.983741i \(-0.557478\pi\)
0.880096 + 0.474796i \(0.157478\pi\)
\(758\) 19.3447 + 11.1687i 0.702630 + 0.405664i
\(759\) −7.64792 16.4363i −0.277602 0.596599i
\(760\) −3.51025 6.07993i −0.127330 0.220542i
\(761\) 3.59414 + 34.1960i 0.130288 + 1.23960i 0.842910 + 0.538055i \(0.180841\pi\)
−0.712622 + 0.701548i \(0.752493\pi\)
\(762\) 12.5269 4.07022i 0.453800 0.147449i
\(763\) −4.78103 + 16.6853i −0.173085 + 0.604048i
\(764\) −4.59428 3.33794i −0.166215 0.120762i
\(765\) 2.42066 + 5.43689i 0.0875191 + 0.196571i
\(766\) −20.6555 + 4.39045i −0.746312 + 0.158633i
\(767\) 11.0559 + 9.95477i 0.399205 + 0.359446i
\(768\) 0.994522 0.104528i 0.0358867 0.00377185i
\(769\) 0.157276 0.00567150 0.00283575 0.999996i \(-0.499097\pi\)
0.00283575 + 0.999996i \(0.499097\pi\)
\(770\) 4.50875 28.3509i 0.162484 1.02170i
\(771\) −0.325341 −0.0117169
\(772\) −3.45074 + 0.362687i −0.124195 + 0.0130534i
\(773\) 19.9891 + 17.9983i 0.718959 + 0.647354i 0.945115 0.326738i \(-0.105949\pi\)
−0.226156 + 0.974091i \(0.572616\pi\)
\(774\) 10.2964 2.18856i 0.370096 0.0786663i
\(775\) −11.2669 25.3058i −0.404719 0.909013i
\(776\) −6.01805 4.37237i −0.216035 0.156959i
\(777\) 18.7274 + 19.3855i 0.671843 + 0.695451i
\(778\) 35.5099 11.5379i 1.27309 0.413653i
\(779\) 0.581021 + 5.52804i 0.0208172 + 0.198063i
\(780\) −11.0142 19.0772i −0.394373 0.683074i
\(781\) 6.35697 11.4461i 0.227470 0.409573i
\(782\) −8.61133 4.97175i −0.307940 0.177790i
\(783\) 0.600457 0.436258i 0.0214586 0.0155906i
\(784\) −2.62470 6.48930i −0.0937391 0.231761i
\(785\) −8.33986 + 25.6674i −0.297662 + 0.916110i
\(786\) 14.1583 6.30369i 0.505011 0.224845i
\(787\) 1.45461 13.8396i 0.0518511 0.493330i −0.937521 0.347927i \(-0.886886\pi\)
0.989373 0.145403i \(-0.0464478\pi\)
\(788\) 0.799575 + 3.76170i 0.0284837 + 0.134005i
\(789\) 5.12965 + 1.09034i 0.182620 + 0.0388171i
\(790\) −26.2473 36.1264i −0.933838 1.28532i
\(791\) −37.6470 20.0082i −1.33857 0.711408i
\(792\) 2.84431 1.70585i 0.101068 0.0606148i
\(793\) −23.0837 + 39.9822i −0.819727 + 1.41981i
\(794\) 6.10482 + 2.71804i 0.216652 + 0.0964596i
\(795\) 28.1648 31.2801i 0.998901 1.10939i
\(796\) −10.4808 + 9.43697i −0.371483 + 0.334484i
\(797\) 10.6263 14.6258i 0.376402 0.518073i −0.578225 0.815877i \(-0.696254\pi\)
0.954627 + 0.297804i \(0.0962544\pi\)
\(798\) −5.66393 0.394987i −0.200501 0.0139824i
\(799\) −0.885417 0.287689i −0.0313238 0.0101777i
\(800\) −1.18565 + 5.57803i −0.0419190 + 0.197213i
\(801\) −4.89466 + 10.9936i −0.172944 + 0.388439i
\(802\) −8.88223 + 5.12816i −0.313642 + 0.181082i
\(803\) 4.73039 + 13.7748i 0.166932 + 0.486103i
\(804\) 12.1323i 0.427873i
\(805\) 37.2759 29.1344i 1.31380 1.02685i
\(806\) −10.1073 31.1071i −0.356015 1.09570i
\(807\) 2.10865 + 2.34190i 0.0742281 + 0.0824387i
\(808\) 3.59828 + 0.378195i 0.126587 + 0.0133048i
\(809\) −31.4275 3.30316i −1.10493 0.116133i −0.465549 0.885022i \(-0.654143\pi\)
−0.639382 + 0.768889i \(0.720810\pi\)
\(810\) −2.18905 2.43119i −0.0769155 0.0854234i
\(811\) −11.1449 34.3006i −0.391351 1.20446i −0.931767 0.363057i \(-0.881733\pi\)
0.540415 0.841398i \(-0.318267\pi\)
\(812\) −1.54718 + 1.20926i −0.0542955 + 0.0424368i
\(813\) 19.3021i 0.676954i
\(814\) 19.4031 27.6620i 0.680077 0.969554i
\(815\) −61.2541 + 35.3651i −2.14564 + 1.23878i
\(816\) 0.739925 1.66190i 0.0259026 0.0581781i
\(817\) −4.69658 + 22.0957i −0.164312 + 0.773029i
\(818\) −29.8348 9.69392i −1.04315 0.338940i
\(819\) −17.7719 1.23936i −0.621001 0.0433069i
\(820\) 4.98080 6.85548i 0.173937 0.239404i
\(821\) −6.41951 + 5.78015i −0.224042 + 0.201729i −0.773506 0.633789i \(-0.781499\pi\)
0.549464 + 0.835518i \(0.314832\pi\)
\(822\) −0.0844445 + 0.0937851i −0.00294534 + 0.00327113i
\(823\) 7.62538 + 3.39504i 0.265804 + 0.118344i 0.535312 0.844655i \(-0.320194\pi\)
−0.269507 + 0.962998i \(0.586861\pi\)
\(824\) −4.16970 + 7.22213i −0.145258 + 0.251595i
\(825\) 4.23948 + 18.4323i 0.147600 + 0.641730i
\(826\) −5.16189 2.74338i −0.179605 0.0954543i
\(827\) −21.3013 29.3188i −0.740720 1.01951i −0.998577 0.0533304i \(-0.983016\pi\)
0.257857 0.966183i \(-0.416984\pi\)
\(828\) 5.34650 + 1.13643i 0.185804 + 0.0394938i
\(829\) −9.05689 42.6093i −0.314559 1.47988i −0.797013 0.603962i \(-0.793588\pi\)
0.482454 0.875921i \(-0.339745\pi\)
\(830\) 2.44755 23.2868i 0.0849555 0.808298i
\(831\) −25.4367 + 11.3252i −0.882391 + 0.392866i
\(832\) −2.08076 + 6.40391i −0.0721373 + 0.222016i
\(833\) −12.6110 1.76750i −0.436944 0.0612403i
\(834\) −3.45925 + 2.51329i −0.119784 + 0.0870282i
\(835\) 26.8976 + 15.5293i 0.930830 + 0.537415i
\(836\) 0.861582 + 7.06502i 0.0297984 + 0.244349i
\(837\) −2.42876 4.20673i −0.0839501 0.145406i
\(838\) 0.154553 + 1.47048i 0.00533895 + 0.0507967i
\(839\) 16.7253 5.43438i 0.577421 0.187616i −0.00572363 0.999984i \(-0.501822\pi\)
0.583145 + 0.812368i \(0.301822\pi\)
\(840\) 6.01383 + 6.22515i 0.207497 + 0.214788i
\(841\) −23.0158 16.7220i −0.793649 0.576620i
\(842\) −7.70289 17.3010i −0.265459 0.596231i
\(843\) −28.2827 + 6.01168i −0.974109 + 0.207053i
\(844\) 20.7020 + 18.6402i 0.712593 + 0.641622i
\(845\) 105.219 11.0590i 3.61965 0.380441i
\(846\) 0.511761 0.0175947
\(847\) −15.4583 + 24.6585i −0.531153 + 0.847276i
\(848\) −12.8662 −0.441826
\(849\) −6.75449 + 0.709926i −0.231814 + 0.0243646i
\(850\) 7.70948 + 6.94164i 0.264433 + 0.238096i
\(851\) 54.4681 11.5776i 1.86714 0.396874i
\(852\) 1.60566 + 3.60637i 0.0550089 + 0.123552i
\(853\) −20.6014 14.9678i −0.705378 0.512487i 0.176301 0.984336i \(-0.443587\pi\)
−0.881679 + 0.471849i \(0.843587\pi\)
\(854\) 4.99687 17.4386i 0.170989 0.596736i
\(855\) 6.67689 2.16945i 0.228345 0.0741938i
\(856\) 1.15606 + 10.9991i 0.0395132 + 0.375943i
\(857\) 7.86198 + 13.6174i 0.268560 + 0.465160i 0.968490 0.249051i \(-0.0801188\pi\)
−0.699930 + 0.714211i \(0.746785\pi\)
\(858\) 2.70342 + 22.1682i 0.0922932 + 0.756809i
\(859\) 38.9397 + 22.4818i 1.32860 + 0.767070i 0.985084 0.172075i \(-0.0550472\pi\)
0.343521 + 0.939145i \(0.388381\pi\)
\(860\) 27.8601 20.2416i 0.950023 0.690232i
\(861\) −2.34510 6.43932i −0.0799206 0.219451i
\(862\) 5.09480 15.6802i 0.173530 0.534070i
\(863\) 44.0000 19.5901i 1.49778 0.666853i 0.515948 0.856620i \(-0.327440\pi\)
0.981829 + 0.189767i \(0.0607731\pi\)
\(864\) −0.104528 + 0.994522i −0.00355613 + 0.0338343i
\(865\) 5.25959 + 24.7444i 0.178832 + 0.841336i
\(866\) −31.7669 6.75225i −1.07948 0.229451i
\(867\) 8.04713 + 11.0759i 0.273295 + 0.376158i
\(868\) 6.81246 + 10.8976i 0.231230 + 0.369890i
\(869\) 10.1474 + 44.1188i 0.344228 + 1.49663i
\(870\) 1.21406 2.10281i 0.0411605 0.0712921i
\(871\) −74.6297 33.2273i −2.52873 1.12586i
\(872\) −4.38966 + 4.87521i −0.148653 + 0.165095i
\(873\) 5.52804 4.97747i 0.187096 0.168462i
\(874\) −6.89455 + 9.48954i −0.233212 + 0.320988i
\(875\) −5.46580 + 2.66713i −0.184778 + 0.0901654i
\(876\) −4.17641 1.35700i −0.141108 0.0458487i
\(877\) −4.49910 + 21.1666i −0.151924 + 0.714745i 0.834564 + 0.550911i \(0.185720\pi\)
−0.986488 + 0.163834i \(0.947614\pi\)
\(878\) 2.27428 5.10813i 0.0767534 0.172391i
\(879\) −15.6003 + 9.00685i −0.526186 + 0.303794i
\(880\) 6.23078 8.88293i 0.210040 0.299444i
\(881\) 48.5490i 1.63566i 0.575462 + 0.817828i \(0.304822\pi\)
−0.575462 + 0.817828i \(0.695178\pi\)
\(882\) 6.89320 1.21814i 0.232106 0.0410169i
\(883\) −6.93530 21.3447i −0.233392 0.718305i −0.997331 0.0730171i \(-0.976737\pi\)
0.763939 0.645288i \(-0.223263\pi\)
\(884\) 8.19643 + 9.10305i 0.275676 + 0.306169i
\(885\) 7.18856 + 0.755548i 0.241641 + 0.0253975i
\(886\) −10.9107 1.14677i −0.366554 0.0385263i
\(887\) −33.2631 36.9424i −1.11686 1.24040i −0.967839 0.251570i \(-0.919053\pi\)
−0.149025 0.988833i \(-0.547613\pi\)
\(888\) 3.14815 + 9.68902i 0.105645 + 0.325142i
\(889\) −4.85649 34.5085i −0.162882 1.15738i
\(890\) 39.3691i 1.31965i
\(891\) 1.07721 + 3.13682i 0.0360879 + 0.105087i
\(892\) 14.1216 8.15313i 0.472827 0.272987i
\(893\) −0.446686 + 1.00327i −0.0149478 + 0.0335733i
\(894\) −0.476421 + 2.24139i −0.0159339 + 0.0749632i
\(895\) −28.7546 9.34295i −0.961162 0.312300i
\(896\) 0.184060 2.63934i 0.00614902 0.0881742i
\(897\) −21.6333 + 29.7757i −0.722314 + 0.994181i
\(898\) −5.29855 + 4.77083i −0.176815 + 0.159205i
\(899\) 2.41240 2.67924i 0.0804581 0.0893577i
\(900\) −5.20963 2.31948i −0.173654 0.0773159i
\(901\) −11.7029 + 20.2701i −0.389881 + 0.675293i
\(902\) −7.36734 + 4.41851i −0.245306 + 0.147120i
\(903\) −0.977212 27.8331i −0.0325196 0.926228i
\(904\) −9.47156 13.0365i −0.315020 0.433587i
\(905\) −40.8327 8.67925i −1.35732 0.288508i
\(906\) 1.46495 + 6.89207i 0.0486698 + 0.228974i
\(907\) −3.00367 + 28.5780i −0.0997352 + 0.948917i 0.824182 + 0.566325i \(0.191635\pi\)
−0.923917 + 0.382592i \(0.875031\pi\)
\(908\) −7.11904 + 3.16960i −0.236254 + 0.105187i
\(909\) −1.11806 + 3.44102i −0.0370836 + 0.114131i
\(910\) −54.7633 + 19.9439i −1.81539 + 0.661134i
\(911\) 35.1754 25.5565i 1.16541 0.846723i 0.174961 0.984575i \(-0.444020\pi\)
0.990453 + 0.137852i \(0.0440199\pi\)
\(912\) −1.85846 1.07298i −0.0615397 0.0355300i
\(913\) −11.5255 + 20.7524i −0.381440 + 0.686804i
\(914\) −0.252587 0.437493i −0.00835483 0.0144710i
\(915\) 2.34465 + 22.3078i 0.0775116 + 0.737474i
\(916\) −5.09446 + 1.65529i −0.168326 + 0.0546923i
\(917\) −9.92737 39.7845i −0.327831 1.31380i
\(918\) 1.47174 + 1.06928i 0.0485748 + 0.0352917i
\(919\) 5.80652 + 13.0416i 0.191539 + 0.430204i 0.983630 0.180199i \(-0.0576741\pi\)
−0.792091 + 0.610403i \(0.791007\pi\)
\(920\) 17.4910 3.71783i 0.576662 0.122573i
\(921\) 6.05731 + 5.45402i 0.199595 + 0.179716i
\(922\) 27.5212 2.89260i 0.906363 0.0952626i
\(923\) −26.5814 −0.874939
\(924\) −3.13948 8.19412i −0.103281 0.269567i
\(925\) −58.0965 −1.91020
\(926\) −16.3857 + 1.72221i −0.538468 + 0.0565953i
\(927\) −6.19738 5.58014i −0.203549 0.183276i
\(928\) −0.725987 + 0.154313i −0.0238317 + 0.00506558i
\(929\) −7.23911 16.2593i −0.237508 0.533451i 0.754987 0.655740i \(-0.227643\pi\)
−0.992495 + 0.122289i \(0.960977\pi\)
\(930\) −12.8563 9.34068i −0.421576 0.306293i
\(931\) −3.62859 + 14.5769i −0.118922 + 0.477739i
\(932\) 12.4442 4.04336i 0.407623 0.132445i
\(933\) 3.49288 + 33.2325i 0.114352 + 1.08798i
\(934\) −17.4831 30.2816i −0.572063 0.990843i
\(935\) −8.32719 17.8961i −0.272328 0.585265i
\(936\) −5.83136 3.36674i −0.190604 0.110045i
\(937\) 23.9160 17.3760i 0.781301 0.567648i −0.124068 0.992274i \(-0.539594\pi\)
0.905369 + 0.424625i \(0.139594\pi\)
\(938\) 31.6124 + 5.56797i 1.03218 + 0.181801i
\(939\) −1.18058 + 3.63344i −0.0385266 + 0.118573i
\(940\) 1.52948 0.680967i 0.0498860 0.0222107i
\(941\) 0.105325 1.00210i 0.00343351 0.0326677i −0.992671 0.120848i \(-0.961439\pi\)
0.996105 + 0.0881805i \(0.0281052\pi\)
\(942\) 1.71518 + 8.06928i 0.0558836 + 0.262911i
\(943\) −13.8485 2.94360i −0.450971 0.0958568i
\(944\) −1.29867 1.78747i −0.0422683 0.0581773i
\(945\) −7.33946 + 4.58813i −0.238753 + 0.149252i
\(946\) −34.0238 + 7.82556i −1.10621 + 0.254431i
\(947\) 12.1927 21.1184i 0.396210 0.686256i −0.597045 0.802208i \(-0.703658\pi\)
0.993255 + 0.115952i \(0.0369918\pi\)
\(948\) −12.4696 5.55181i −0.404992 0.180314i
\(949\) 19.7855 21.9740i 0.642264 0.713306i
\(950\) 9.09437 8.18861i 0.295060 0.265674i
\(951\) 3.25742 4.48345i 0.105629 0.145386i
\(952\) −3.99074 2.69069i −0.129341 0.0872058i
\(953\) −46.7733 15.1976i −1.51514 0.492297i −0.570746 0.821127i \(-0.693346\pi\)
−0.944389 + 0.328830i \(0.893346\pi\)
\(954\) 2.67503 12.5850i 0.0866073 0.407455i
\(955\) 7.55646 16.9721i 0.244521 0.549204i
\(956\) 17.8746 10.3199i 0.578105 0.333769i
\(957\) −1.96715 + 1.47982i −0.0635890 + 0.0478359i
\(958\) 16.5066i 0.533303i
\(959\) 0.205616 + 0.263074i 0.00663968 + 0.00849509i
\(960\) 1.01095 + 3.11137i 0.0326281 + 0.100419i
\(961\) 4.95463 + 5.50267i 0.159827 + 0.177505i
\(962\) −68.2223 7.17046i −2.19958 0.231185i
\(963\) −10.9991 1.15606i −0.354442 0.0372534i
\(964\) 11.1001 + 12.3279i 0.357509 + 0.397054i
\(965\) −3.50773 10.7957i −0.112918 0.347525i
\(966\) 5.41485 13.4095i 0.174220 0.431444i
\(967\) 30.8429i 0.991841i 0.868368 + 0.495921i \(0.165169\pi\)
−0.868368 + 0.495921i \(0.834831\pi\)
\(968\) −9.33810 + 5.81377i −0.300138 + 0.186862i
\(969\) −3.38086 + 1.95194i −0.108609 + 0.0627054i
\(970\) 9.89821 22.2318i 0.317813 0.713819i
\(971\) −8.04368 + 37.8425i −0.258134 + 1.21442i 0.637787 + 0.770212i \(0.279850\pi\)
−0.895921 + 0.444213i \(0.853484\pi\)
\(972\) −0.951057 0.309017i −0.0305052 0.00991172i
\(973\) 4.96116 + 10.1670i 0.159048 + 0.325940i
\(974\) 14.9702 20.6047i 0.479676 0.660218i
\(975\) 28.5357 25.6937i 0.913875 0.822857i
\(976\) 4.58784 5.09531i 0.146853 0.163097i
\(977\) −19.5780 8.71670i −0.626356 0.278872i 0.0689113 0.997623i \(-0.478047\pi\)
−0.695268 + 0.718751i \(0.744714\pi\)
\(978\) −10.8101 + 18.7236i −0.345668 + 0.598715i
\(979\) 15.6251 36.7266i 0.499381 1.17379i
\(980\) 18.9805 12.8129i 0.606309 0.409294i
\(981\) −3.85601 5.30735i −0.123113 0.169451i
\(982\) 23.2113 + 4.93371i 0.740702 + 0.157441i
\(983\) −7.57097 35.6186i −0.241477 1.13606i −0.917052 0.398767i \(-0.869438\pi\)
0.675576 0.737291i \(-0.263895\pi\)
\(984\) 0.270751 2.57602i 0.00863121 0.0821205i
\(985\) −11.4936 + 5.11728i −0.366216 + 0.163050i
\(986\) −0.417236 + 1.28412i −0.0132875 + 0.0408947i
\(987\) 0.234867 1.33347i 0.00747588 0.0424447i
\(988\) 11.6901 8.49337i 0.371912 0.270210i
\(989\) −49.8282 28.7684i −1.58445 0.914780i
\(990\) 7.39337 + 7.94149i 0.234977 + 0.252397i
\(991\) −7.31050 12.6622i −0.232226 0.402227i 0.726237 0.687444i \(-0.241267\pi\)
−0.958463 + 0.285218i \(0.907934\pi\)
\(992\) 0.507748 + 4.83090i 0.0161210 + 0.153381i
\(993\) 0.430008 0.139718i 0.0136459 0.00443382i
\(994\) 10.1338 2.52867i 0.321425 0.0802046i
\(995\) −37.3272 27.1198i −1.18335 0.859754i
\(996\) −2.91114 6.53854i −0.0922432 0.207182i
\(997\) −18.8727 + 4.01153i −0.597706 + 0.127046i −0.496823 0.867852i \(-0.665500\pi\)
−0.100883 + 0.994898i \(0.532167\pi\)
\(998\) −6.81224 6.13376i −0.215638 0.194161i
\(999\) −10.1318 + 1.06490i −0.320557 + 0.0336919i
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 462.2.ba.b.19.8 yes 64
7.3 odd 6 462.2.ba.a.283.4 yes 64
11.7 odd 10 462.2.ba.a.271.4 64
77.73 even 30 inner 462.2.ba.b.73.8 yes 64
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
462.2.ba.a.271.4 64 11.7 odd 10
462.2.ba.a.283.4 yes 64 7.3 odd 6
462.2.ba.b.19.8 yes 64 1.1 even 1 trivial
462.2.ba.b.73.8 yes 64 77.73 even 30 inner