Properties

Label 462.2.bc.a.95.10
Level $462$
Weight $2$
Character 462.95
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [462,2,Mod(95,462)]
 
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([15, 20, 21]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("462.95");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (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: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.10
Character \(\chi\) \(=\) 462.95
Dual form 462.2.bc.a.107.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.104528 - 0.994522i) q^{2} +(0.398305 - 1.68563i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-1.53261 + 3.44230i) q^{5} +(-1.63476 - 0.572320i) q^{6} +(-2.01818 + 1.71083i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.68271 - 1.34279i) q^{9} +O(q^{10})\) \(q+(0.104528 - 0.994522i) q^{2} +(0.398305 - 1.68563i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-1.53261 + 3.44230i) q^{5} +(-1.63476 - 0.572320i) q^{6} +(-2.01818 + 1.71083i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.68271 - 1.34279i) q^{9} +(3.26324 + 1.88403i) q^{10} +(3.30190 - 0.312180i) q^{11} +(-0.740064 + 1.56598i) q^{12} +(-3.08311 + 4.24354i) q^{13} +(1.49050 + 2.18596i) q^{14} +(5.19200 + 3.95450i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.289150 - 2.75108i) q^{17} +(-1.61585 + 2.52765i) q^{18} +(1.51179 + 7.11240i) q^{19} +(2.21481 - 3.04843i) q^{20} +(2.07998 + 4.08334i) q^{21} +(0.0346730 - 3.31644i) q^{22} +(0.229484 - 0.132493i) q^{23} +(1.48005 + 0.899699i) q^{24} +(-6.15489 - 6.83570i) q^{25} +(3.89802 + 3.50979i) q^{26} +(-3.33199 + 3.98721i) q^{27} +(2.32978 - 1.25384i) q^{28} +(1.53615 + 4.72778i) q^{29} +(4.47555 - 4.75020i) q^{30} +(-4.96641 + 2.21119i) q^{31} +(0.500000 - 0.866025i) q^{32} +(0.788944 - 5.69013i) q^{33} -2.76623 q^{34} +(-2.79612 - 9.56923i) q^{35} +(2.34490 + 1.87121i) q^{36} +(-2.79332 + 3.10230i) q^{37} +(7.23146 - 0.760057i) q^{38} +(5.92502 + 6.88721i) q^{39} +(-2.80022 - 2.52133i) q^{40} +(2.20706 - 6.79262i) q^{41} +(4.27839 - 1.64176i) q^{42} -5.36775i q^{43} +(-3.29465 - 0.381146i) q^{44} +(8.73384 - 7.17671i) q^{45} +(-0.107779 - 0.242076i) q^{46} +(-0.756757 - 3.56026i) q^{47} +(1.04948 - 1.37790i) q^{48} +(1.14610 - 6.90554i) q^{49} +(-7.44161 + 5.40665i) q^{50} +(-4.75247 - 0.608368i) q^{51} +(3.89802 - 3.50979i) q^{52} +(-1.07021 - 2.40372i) q^{53} +(3.61708 + 3.73051i) q^{54} +(-3.98591 + 11.8446i) q^{55} +(-1.00345 - 2.44808i) q^{56} +(12.5910 + 0.284590i) q^{57} +(4.86245 - 1.03355i) q^{58} +(-2.19124 + 10.3090i) q^{59} +(-4.25636 - 4.94757i) q^{60} +(1.48497 - 3.33529i) q^{61} +(1.67994 + 5.17033i) q^{62} +(7.71148 - 1.87967i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-9.88232 - 17.1167i) q^{65} +(-5.57649 - 1.37940i) q^{66} +(-4.38733 + 7.59908i) q^{67} +(-0.289150 + 2.75108i) q^{68} +(-0.131929 - 0.439597i) q^{69} +(-9.80908 + 1.78054i) q^{70} +(1.09739 + 1.51043i) q^{71} +(2.10607 - 2.13646i) q^{72} +(-2.95581 + 13.9060i) q^{73} +(2.79332 + 3.10230i) q^{74} +(-13.9740 + 7.65218i) q^{75} -7.27129i q^{76} +(-6.12974 + 6.27903i) q^{77} +(7.46882 - 5.17265i) q^{78} +(-1.17968 - 0.123989i) q^{79} +(-2.80022 + 2.52133i) q^{80} +(5.39382 + 7.20463i) q^{81} +(-6.52471 - 2.90499i) q^{82} +(1.44300 - 1.04840i) q^{83} +(-1.18555 - 4.42656i) q^{84} +(9.91319 + 3.22099i) q^{85} +(-5.33835 - 0.561083i) q^{86} +(8.58114 - 0.706281i) q^{87} +(-0.723443 + 3.23676i) q^{88} +(-0.505210 + 0.291683i) q^{89} +(-6.22446 - 9.43616i) q^{90} +(-1.03771 - 13.8389i) q^{91} +(-0.252016 + 0.0818849i) q^{92} +(1.74910 + 9.25226i) q^{93} +(-3.61986 + 0.380463i) q^{94} +(-26.8000 - 5.69652i) q^{95} +(-1.26065 - 1.18776i) q^{96} +(3.28502 + 2.38671i) q^{97} +(-6.74791 - 1.86165i) q^{98} +(-9.27722 - 3.59628i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 128 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 4 q^{9} + 6 q^{11} - 12 q^{15} + 16 q^{16} + 2 q^{17} + 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} - 38 q^{29} - 6 q^{30} - 3 q^{31} + 64 q^{32} - 4 q^{33} - 16 q^{34} + 31 q^{35} + 8 q^{36} + 2 q^{37} + 22 q^{39} + 5 q^{40} - 16 q^{41} + 17 q^{42} + q^{44} + 28 q^{45} + 38 q^{49} - 34 q^{50} + 16 q^{51} - 25 q^{53} + 6 q^{54} - 42 q^{55} + 20 q^{57} - 19 q^{58} - 40 q^{59} - 4 q^{60} + 40 q^{61} + 4 q^{62} + 6 q^{63} - 32 q^{64} - 20 q^{65} - 41 q^{66} + 16 q^{67} + 2 q^{68} - 68 q^{69} - 21 q^{70} - 80 q^{71} - 16 q^{72} + 10 q^{73} - 2 q^{74} - 14 q^{75} - q^{77} - 16 q^{78} + 5 q^{80} - 88 q^{81} - 8 q^{82} + 92 q^{83} - 48 q^{84} - 100 q^{85} + 40 q^{86} + 38 q^{87} - q^{88} - 164 q^{90} + 12 q^{91} + 20 q^{92} + 47 q^{93} + 40 q^{94} - 38 q^{95} - 16 q^{97} - 18 q^{98} - 138 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.104528 0.994522i 0.0739128 0.703233i
\(3\) 0.398305 1.68563i 0.229962 0.973200i
\(4\) −0.978148 0.207912i −0.489074 0.103956i
\(5\) −1.53261 + 3.44230i −0.685405 + 1.53944i 0.149328 + 0.988788i \(0.452289\pi\)
−0.834732 + 0.550656i \(0.814378\pi\)
\(6\) −1.63476 0.572320i −0.667389 0.233649i
\(7\) −2.01818 + 1.71083i −0.762800 + 0.646634i
\(8\) −0.309017 + 0.951057i −0.109254 + 0.336249i
\(9\) −2.68271 1.34279i −0.894235 0.447597i
\(10\) 3.26324 + 1.88403i 1.03193 + 0.595784i
\(11\) 3.30190 0.312180i 0.995560 0.0941257i
\(12\) −0.740064 + 1.56598i −0.213638 + 0.452061i
\(13\) −3.08311 + 4.24354i −0.855101 + 1.17695i 0.127615 + 0.991824i \(0.459268\pi\)
−0.982716 + 0.185122i \(0.940732\pi\)
\(14\) 1.49050 + 2.18596i 0.398354 + 0.584221i
\(15\) 5.19200 + 3.95450i 1.34057 + 1.02105i
\(16\) 0.913545 + 0.406737i 0.228386 + 0.101684i
\(17\) −0.289150 2.75108i −0.0701291 0.667234i −0.971960 0.235145i \(-0.924443\pi\)
0.901831 0.432089i \(-0.142223\pi\)
\(18\) −1.61585 + 2.52765i −0.380861 + 0.595773i
\(19\) 1.51179 + 7.11240i 0.346828 + 1.63170i 0.713010 + 0.701153i \(0.247331\pi\)
−0.366183 + 0.930543i \(0.619335\pi\)
\(20\) 2.21481 3.04843i 0.495248 0.681650i
\(21\) 2.07998 + 4.08334i 0.453889 + 0.891058i
\(22\) 0.0346730 3.31644i 0.00739231 0.707068i
\(23\) 0.229484 0.132493i 0.0478507 0.0276266i −0.475884 0.879508i \(-0.657872\pi\)
0.523734 + 0.851882i \(0.324538\pi\)
\(24\) 1.48005 + 0.899699i 0.302113 + 0.183650i
\(25\) −6.15489 6.83570i −1.23098 1.36714i
\(26\) 3.89802 + 3.50979i 0.764464 + 0.688327i
\(27\) −3.33199 + 3.98721i −0.641241 + 0.767339i
\(28\) 2.32978 1.25384i 0.440287 0.236954i
\(29\) 1.53615 + 4.72778i 0.285255 + 0.877926i 0.986322 + 0.164830i \(0.0527076\pi\)
−0.701067 + 0.713096i \(0.747292\pi\)
\(30\) 4.47555 4.75020i 0.817120 0.867265i
\(31\) −4.96641 + 2.21119i −0.891993 + 0.397141i −0.800968 0.598708i \(-0.795681\pi\)
−0.0910253 + 0.995849i \(0.529014\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 0.788944 5.69013i 0.137338 0.990524i
\(34\) −2.76623 −0.474405
\(35\) −2.79612 9.56923i −0.472630 1.61749i
\(36\) 2.34490 + 1.87121i 0.390817 + 0.311869i
\(37\) −2.79332 + 3.10230i −0.459219 + 0.510014i −0.927632 0.373495i \(-0.878159\pi\)
0.468413 + 0.883510i \(0.344826\pi\)
\(38\) 7.23146 0.760057i 1.17310 0.123298i
\(39\) 5.92502 + 6.88721i 0.948763 + 1.10284i
\(40\) −2.80022 2.52133i −0.442754 0.398657i
\(41\) 2.20706 6.79262i 0.344684 1.06083i −0.617069 0.786909i \(-0.711680\pi\)
0.961753 0.273919i \(-0.0883201\pi\)
\(42\) 4.27839 1.64176i 0.660170 0.253329i
\(43\) 5.36775i 0.818575i −0.912405 0.409287i \(-0.865777\pi\)
0.912405 0.409287i \(-0.134223\pi\)
\(44\) −3.29465 0.381146i −0.496687 0.0574599i
\(45\) 8.73384 7.17671i 1.30196 1.06984i
\(46\) −0.107779 0.242076i −0.0158912 0.0356921i
\(47\) −0.756757 3.56026i −0.110384 0.519317i −0.998246 0.0592064i \(-0.981143\pi\)
0.887861 0.460111i \(-0.152190\pi\)
\(48\) 1.04948 1.37790i 0.151479 0.198882i
\(49\) 1.14610 6.90554i 0.163729 0.986505i
\(50\) −7.44161 + 5.40665i −1.05240 + 0.764615i
\(51\) −4.75247 0.608368i −0.665479 0.0851886i
\(52\) 3.89802 3.50979i 0.540558 0.486720i
\(53\) −1.07021 2.40372i −0.147004 0.330176i 0.825003 0.565128i \(-0.191173\pi\)
−0.972007 + 0.234952i \(0.924507\pi\)
\(54\) 3.61708 + 3.73051i 0.492223 + 0.507658i
\(55\) −3.98591 + 11.8446i −0.537460 + 1.59712i
\(56\) −1.00345 2.44808i −0.134091 0.327138i
\(57\) 12.5910 + 0.284590i 1.66772 + 0.0376948i
\(58\) 4.86245 1.03355i 0.638471 0.135711i
\(59\) −2.19124 + 10.3090i −0.285275 + 1.34211i 0.569019 + 0.822324i \(0.307323\pi\)
−0.854294 + 0.519790i \(0.826010\pi\)
\(60\) −4.25636 4.94757i −0.549494 0.638728i
\(61\) 1.48497 3.33529i 0.190131 0.427040i −0.793177 0.608991i \(-0.791575\pi\)
0.983308 + 0.181951i \(0.0582412\pi\)
\(62\) 1.67994 + 5.17033i 0.213353 + 0.656633i
\(63\) 7.71148 1.87967i 0.971555 0.236816i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −9.88232 17.1167i −1.22575 2.12306i
\(66\) −5.57649 1.37940i −0.686419 0.169793i
\(67\) −4.38733 + 7.59908i −0.535998 + 0.928375i 0.463117 + 0.886297i \(0.346731\pi\)
−0.999114 + 0.0420780i \(0.986602\pi\)
\(68\) −0.289150 + 2.75108i −0.0350646 + 0.333617i
\(69\) −0.131929 0.439597i −0.0158824 0.0529213i
\(70\) −9.80908 + 1.78054i −1.17241 + 0.212816i
\(71\) 1.09739 + 1.51043i 0.130236 + 0.179255i 0.869155 0.494540i \(-0.164663\pi\)
−0.738919 + 0.673794i \(0.764663\pi\)
\(72\) 2.10607 2.13646i 0.248203 0.251784i
\(73\) −2.95581 + 13.9060i −0.345952 + 1.62758i 0.369723 + 0.929142i \(0.379453\pi\)
−0.715675 + 0.698434i \(0.753881\pi\)
\(74\) 2.79332 + 3.10230i 0.324717 + 0.360635i
\(75\) −13.9740 + 7.65218i −1.61358 + 0.883598i
\(76\) 7.27129i 0.834075i
\(77\) −6.12974 + 6.27903i −0.698549 + 0.715562i
\(78\) 7.46882 5.17265i 0.845677 0.585688i
\(79\) −1.17968 0.123989i −0.132724 0.0139499i 0.0379334 0.999280i \(-0.487923\pi\)
−0.170658 + 0.985330i \(0.554589\pi\)
\(80\) −2.80022 + 2.52133i −0.313074 + 0.281893i
\(81\) 5.39382 + 7.20463i 0.599314 + 0.800514i
\(82\) −6.52471 2.90499i −0.720533 0.320802i
\(83\) 1.44300 1.04840i 0.158390 0.115077i −0.505767 0.862670i \(-0.668791\pi\)
0.664157 + 0.747593i \(0.268791\pi\)
\(84\) −1.18555 4.42656i −0.129355 0.482978i
\(85\) 9.91319 + 3.22099i 1.07524 + 0.349365i
\(86\) −5.33835 0.561083i −0.575649 0.0605032i
\(87\) 8.58114 0.706281i 0.919995 0.0757213i
\(88\) −0.723443 + 3.23676i −0.0771193 + 0.345040i
\(89\) −0.505210 + 0.291683i −0.0535521 + 0.0309183i −0.526537 0.850152i \(-0.676510\pi\)
0.472985 + 0.881071i \(0.343177\pi\)
\(90\) −6.22446 9.43616i −0.656115 0.994659i
\(91\) −1.03771 13.8389i −0.108782 1.45071i
\(92\) −0.252016 + 0.0818849i −0.0262745 + 0.00853709i
\(93\) 1.74910 + 9.25226i 0.181373 + 0.959414i
\(94\) −3.61986 + 0.380463i −0.373360 + 0.0392417i
\(95\) −26.8000 5.69652i −2.74962 0.584450i
\(96\) −1.26065 1.18776i −0.128664 0.121225i
\(97\) 3.28502 + 2.38671i 0.333543 + 0.242334i 0.741933 0.670474i \(-0.233909\pi\)
−0.408389 + 0.912808i \(0.633909\pi\)
\(98\) −6.74791 1.86165i −0.681642 0.188055i
\(99\) −9.27722 3.59628i −0.932396 0.361439i
\(100\) 4.59917 + 7.96599i 0.459917 + 0.796599i
\(101\) 7.42956 3.30785i 0.739269 0.329144i −0.00232090 0.999997i \(-0.500739\pi\)
0.741590 + 0.670854i \(0.234072\pi\)
\(102\) −1.10180 + 4.66284i −0.109095 + 0.461690i
\(103\) 2.90213 3.22315i 0.285956 0.317586i −0.583004 0.812470i \(-0.698123\pi\)
0.868959 + 0.494884i \(0.164789\pi\)
\(104\) −3.08311 4.24354i −0.302324 0.416113i
\(105\) −17.2439 + 0.901750i −1.68283 + 0.0880018i
\(106\) −2.50242 + 0.813085i −0.243056 + 0.0789738i
\(107\) 8.03480 1.70785i 0.776754 0.165104i 0.197556 0.980292i \(-0.436699\pi\)
0.579197 + 0.815187i \(0.303366\pi\)
\(108\) 4.08816 3.20732i 0.393384 0.308625i
\(109\) −4.98391 2.87746i −0.477372 0.275611i 0.241949 0.970289i \(-0.422213\pi\)
−0.719321 + 0.694678i \(0.755547\pi\)
\(110\) 11.3631 + 5.20217i 1.08343 + 0.496008i
\(111\) 4.11673 + 5.94417i 0.390743 + 0.564196i
\(112\) −2.53956 + 0.742056i −0.239966 + 0.0701177i
\(113\) −9.48961 3.08336i −0.892708 0.290058i −0.173484 0.984837i \(-0.555502\pi\)
−0.719224 + 0.694778i \(0.755502\pi\)
\(114\) 1.59915 12.4923i 0.149774 1.17001i
\(115\) 0.104370 + 0.993012i 0.00973253 + 0.0925988i
\(116\) −0.519619 4.94385i −0.0482454 0.459025i
\(117\) 13.9693 7.24419i 1.29146 0.669726i
\(118\) 10.0235 + 3.25682i 0.922733 + 0.299814i
\(119\) 5.29019 + 5.05748i 0.484951 + 0.463618i
\(120\) −5.36537 + 3.71588i −0.489789 + 0.339212i
\(121\) 10.8051 2.06157i 0.982281 0.187416i
\(122\) −3.16180 1.82546i −0.286256 0.165270i
\(123\) −10.5708 6.42582i −0.953134 0.579396i
\(124\) 5.31761 1.13029i 0.477535 0.101503i
\(125\) 15.0453 4.88853i 1.34570 0.437243i
\(126\) −1.06330 7.86571i −0.0947264 0.700733i
\(127\) 3.60329 + 4.95950i 0.319740 + 0.440085i 0.938388 0.345584i \(-0.112319\pi\)
−0.618648 + 0.785669i \(0.712319\pi\)
\(128\) −0.669131 + 0.743145i −0.0591433 + 0.0656853i
\(129\) −9.04806 2.13800i −0.796637 0.188241i
\(130\) −18.0559 + 8.03901i −1.58361 + 0.705068i
\(131\) 4.22261 + 7.31377i 0.368931 + 0.639007i 0.989399 0.145225i \(-0.0463906\pi\)
−0.620468 + 0.784232i \(0.713057\pi\)
\(132\) −1.95475 + 5.40176i −0.170139 + 0.470162i
\(133\) −15.2192 11.7677i −1.31967 1.02039i
\(134\) 7.09885 + 5.15762i 0.613247 + 0.445550i
\(135\) −8.61855 17.5805i −0.741766 1.51309i
\(136\) 2.70578 + 0.575132i 0.232019 + 0.0493171i
\(137\) 7.95044 0.835625i 0.679252 0.0713923i 0.241382 0.970430i \(-0.422399\pi\)
0.437871 + 0.899038i \(0.355733\pi\)
\(138\) −0.450980 + 0.0852558i −0.0383899 + 0.00725745i
\(139\) 13.4844 4.38135i 1.14373 0.371621i 0.324954 0.945730i \(-0.394651\pi\)
0.818779 + 0.574109i \(0.194651\pi\)
\(140\) 0.745461 + 9.94146i 0.0630029 + 0.840207i
\(141\) −6.30271 0.142457i −0.530784 0.0119971i
\(142\) 1.61686 0.933496i 0.135684 0.0783372i
\(143\) −8.85538 + 14.9742i −0.740524 + 1.25221i
\(144\) −1.90461 2.31786i −0.158718 0.193155i
\(145\) −18.6287 1.95796i −1.54703 0.162600i
\(146\) 13.5209 + 4.39320i 1.11900 + 0.363584i
\(147\) −11.1837 4.68242i −0.922415 0.386199i
\(148\) 3.37728 2.45374i 0.277611 0.201696i
\(149\) 20.2342 + 9.00883i 1.65765 + 0.738032i 0.999885 0.0151921i \(-0.00483597\pi\)
0.657763 + 0.753225i \(0.271503\pi\)
\(150\) 6.14958 + 14.6973i 0.502111 + 1.20003i
\(151\) 5.87033 5.28567i 0.477721 0.430142i −0.394764 0.918782i \(-0.629174\pi\)
0.872485 + 0.488641i \(0.162507\pi\)
\(152\) −7.23146 0.760057i −0.586549 0.0616488i
\(153\) −2.91842 + 7.76860i −0.235940 + 0.628054i
\(154\) 5.60390 + 6.75250i 0.451575 + 0.544132i
\(155\) 20.4848i 1.64538i
\(156\) −4.36361 7.96859i −0.349369 0.637998i
\(157\) −8.99385 9.98869i −0.717788 0.797184i 0.268313 0.963332i \(-0.413534\pi\)
−0.986101 + 0.166148i \(0.946867\pi\)
\(158\) −0.246620 + 1.16026i −0.0196200 + 0.0923050i
\(159\) −4.47805 + 0.846557i −0.355133 + 0.0671364i
\(160\) 2.21481 + 3.04843i 0.175096 + 0.241000i
\(161\) −0.236467 + 0.660002i −0.0186362 + 0.0520155i
\(162\) 7.72897 4.61119i 0.607245 0.362289i
\(163\) 1.75110 16.6606i 0.137157 1.30496i −0.681984 0.731367i \(-0.738882\pi\)
0.819140 0.573593i \(-0.194451\pi\)
\(164\) −3.57109 + 6.18531i −0.278855 + 0.482992i
\(165\) 18.3780 + 11.4365i 1.43072 + 0.890333i
\(166\) −0.891822 1.54468i −0.0692188 0.119891i
\(167\) 20.3525 + 14.7870i 1.57492 + 1.14425i 0.922240 + 0.386617i \(0.126357\pi\)
0.652683 + 0.757631i \(0.273643\pi\)
\(168\) −4.52624 + 0.716359i −0.349207 + 0.0552683i
\(169\) −4.48482 13.8029i −0.344986 1.06176i
\(170\) 4.23956 9.52220i 0.325159 0.730319i
\(171\) 5.49479 21.1105i 0.420197 1.61436i
\(172\) −1.11602 + 5.25046i −0.0850956 + 0.400344i
\(173\) −10.3111 + 2.19169i −0.783937 + 0.166631i −0.582457 0.812862i \(-0.697909\pi\)
−0.201480 + 0.979493i \(0.564575\pi\)
\(174\) 0.194562 8.60796i 0.0147497 0.652568i
\(175\) 24.1164 + 3.26568i 1.82303 + 0.246862i
\(176\) 3.14341 + 1.05781i 0.236943 + 0.0797357i
\(177\) 16.5043 + 7.79974i 1.24054 + 0.586264i
\(178\) 0.237276 + 0.532931i 0.0177846 + 0.0399449i
\(179\) −9.55734 + 8.60547i −0.714349 + 0.643203i −0.943953 0.330081i \(-0.892924\pi\)
0.229603 + 0.973284i \(0.426257\pi\)
\(180\) −10.0351 + 5.20401i −0.747972 + 0.387884i
\(181\) 10.5832 7.68916i 0.786645 0.571531i −0.120321 0.992735i \(-0.538392\pi\)
0.906966 + 0.421204i \(0.138392\pi\)
\(182\) −13.8716 0.414533i −1.02823 0.0307273i
\(183\) −5.03060 3.83157i −0.371873 0.283238i
\(184\) 0.0550935 + 0.259194i 0.00406155 + 0.0191081i
\(185\) −6.39797 14.3701i −0.470388 1.05651i
\(186\) 9.38440 0.772394i 0.688098 0.0566347i
\(187\) −1.81357 8.99351i −0.132622 0.657671i
\(188\) 3.63980i 0.265460i
\(189\) −0.0969048 13.7474i −0.00704879 0.999975i
\(190\) −8.46667 + 26.0577i −0.614237 + 1.89043i
\(191\) −16.7393 15.0722i −1.21122 1.09058i −0.993413 0.114590i \(-0.963445\pi\)
−0.217802 0.975993i \(-0.569889\pi\)
\(192\) −1.31302 + 1.12959i −0.0947594 + 0.0815209i
\(193\) 3.31851 0.348790i 0.238872 0.0251065i 0.0156640 0.999877i \(-0.495014\pi\)
0.223208 + 0.974771i \(0.428347\pi\)
\(194\) 2.71701 3.01755i 0.195070 0.216647i
\(195\) −32.7886 + 9.84029i −2.34804 + 0.704678i
\(196\) −2.55680 + 6.51635i −0.182628 + 0.465453i
\(197\) −1.43581 −0.102297 −0.0511485 0.998691i \(-0.516288\pi\)
−0.0511485 + 0.998691i \(0.516288\pi\)
\(198\) −4.54631 + 8.85048i −0.323092 + 0.628977i
\(199\) −10.4515 + 18.1025i −0.740885 + 1.28325i 0.211209 + 0.977441i \(0.432260\pi\)
−0.952093 + 0.305809i \(0.901073\pi\)
\(200\) 8.40310 3.74130i 0.594189 0.264550i
\(201\) 11.0618 + 10.4222i 0.780236 + 0.735124i
\(202\) −2.51313 7.73463i −0.176823 0.544206i
\(203\) −11.1887 6.91341i −0.785290 0.485226i
\(204\) 4.52213 + 1.58317i 0.316612 + 0.110844i
\(205\) 19.9997 + 18.0078i 1.39684 + 1.25772i
\(206\) −2.90213 3.22315i −0.202201 0.224567i
\(207\) −0.793547 + 0.0472896i −0.0551553 + 0.00328686i
\(208\) −4.54256 + 2.62265i −0.314970 + 0.181848i
\(209\) 7.21212 + 23.0125i 0.498873 + 1.59181i
\(210\) −0.905668 + 17.2437i −0.0624970 + 1.18993i
\(211\) −3.29041 + 4.52886i −0.226521 + 0.311779i −0.907116 0.420880i \(-0.861721\pi\)
0.680595 + 0.732660i \(0.261721\pi\)
\(212\) 0.547057 + 2.57370i 0.0375720 + 0.176763i
\(213\) 2.98312 1.24818i 0.204400 0.0855242i
\(214\) −0.858629 8.16931i −0.0586947 0.558442i
\(215\) 18.4774 + 8.22668i 1.26015 + 0.561055i
\(216\) −2.76242 4.40102i −0.187959 0.299452i
\(217\) 6.24013 12.9593i 0.423608 0.879732i
\(218\) −3.38266 + 4.65583i −0.229103 + 0.315333i
\(219\) 22.2631 + 10.5213i 1.50440 + 0.710960i
\(220\) 6.36144 10.7570i 0.428888 0.725239i
\(221\) 12.5658 + 7.25485i 0.845266 + 0.488014i
\(222\) 6.34192 3.47285i 0.425642 0.233082i
\(223\) −5.92954 + 18.2493i −0.397072 + 1.22206i 0.530265 + 0.847832i \(0.322092\pi\)
−0.927336 + 0.374229i \(0.877908\pi\)
\(224\) 0.472535 + 2.60321i 0.0315726 + 0.173934i
\(225\) 7.33284 + 26.6029i 0.488856 + 1.77353i
\(226\) −4.05841 + 9.11533i −0.269961 + 0.606343i
\(227\) −8.27141 1.75814i −0.548993 0.116692i −0.0749394 0.997188i \(-0.523876\pi\)
−0.474053 + 0.880496i \(0.657210\pi\)
\(228\) −12.2567 2.89619i −0.811721 0.191805i
\(229\) −2.17655 + 20.7085i −0.143830 + 1.36845i 0.649824 + 0.760084i \(0.274842\pi\)
−0.793655 + 0.608369i \(0.791824\pi\)
\(230\) 0.998482 0.0658379
\(231\) 8.14263 + 12.8335i 0.535746 + 0.844379i
\(232\) −4.97108 −0.326367
\(233\) 0.484382 4.60859i 0.0317329 0.301919i −0.967132 0.254277i \(-0.918163\pi\)
0.998864 0.0476422i \(-0.0151707\pi\)
\(234\) −5.74432 14.6500i −0.375518 0.957698i
\(235\) 13.4153 + 2.85151i 0.875118 + 0.186012i
\(236\) 4.28671 9.62811i 0.279041 0.626737i
\(237\) −0.678872 + 1.93912i −0.0440975 + 0.125959i
\(238\) 5.58275 4.73256i 0.361876 0.306766i
\(239\) −2.97902 + 9.16848i −0.192697 + 0.593060i 0.807299 + 0.590143i \(0.200929\pi\)
−0.999996 + 0.00291718i \(0.999071\pi\)
\(240\) 3.13469 + 5.72440i 0.202343 + 0.369508i
\(241\) 6.38371 + 3.68564i 0.411211 + 0.237413i 0.691310 0.722558i \(-0.257034\pi\)
−0.280099 + 0.959971i \(0.590367\pi\)
\(242\) −0.920839 10.9614i −0.0591938 0.704625i
\(243\) 14.2927 6.22236i 0.916879 0.399164i
\(244\) −2.14596 + 2.95366i −0.137381 + 0.189089i
\(245\) 22.0144 + 14.5287i 1.40645 + 0.928207i
\(246\) −7.49556 + 9.84118i −0.477900 + 0.627451i
\(247\) −34.8427 15.5130i −2.21699 0.987068i
\(248\) −0.568259 5.40663i −0.0360845 0.343321i
\(249\) −1.19246 2.84995i −0.0755692 0.180608i
\(250\) −3.28908 15.4739i −0.208020 0.978657i
\(251\) −0.509553 + 0.701340i −0.0321627 + 0.0442682i −0.824796 0.565431i \(-0.808710\pi\)
0.792633 + 0.609699i \(0.208710\pi\)
\(252\) −7.93377 + 0.235286i −0.499780 + 0.0148216i
\(253\) 0.716371 0.509117i 0.0450379 0.0320079i
\(254\) 5.30898 3.06514i 0.333115 0.192324i
\(255\) 9.37788 15.4270i 0.587265 0.966079i
\(256\) 0.669131 + 0.743145i 0.0418207 + 0.0464466i
\(257\) −11.2013 10.0857i −0.698720 0.629131i 0.241220 0.970471i \(-0.422453\pi\)
−0.939940 + 0.341340i \(0.889119\pi\)
\(258\) −3.07207 + 8.77501i −0.191259 + 0.546308i
\(259\) 0.329913 11.0399i 0.0204998 0.685986i
\(260\) 6.10761 + 18.7973i 0.378778 + 1.16576i
\(261\) 2.22738 14.7460i 0.137872 0.912752i
\(262\) 7.71509 3.43498i 0.476640 0.212214i
\(263\) 2.39857 4.15444i 0.147902 0.256174i −0.782550 0.622588i \(-0.786081\pi\)
0.930452 + 0.366414i \(0.119415\pi\)
\(264\) 5.16784 + 2.50868i 0.318058 + 0.154398i
\(265\) 9.91454 0.609045
\(266\) −13.2941 + 13.9058i −0.815111 + 0.852617i
\(267\) 0.290442 + 0.967776i 0.0177748 + 0.0592270i
\(268\) 5.87140 6.52084i 0.358653 0.398324i
\(269\) 27.7083 2.91226i 1.68941 0.177564i 0.789531 0.613711i \(-0.210324\pi\)
0.899875 + 0.436148i \(0.143657\pi\)
\(270\) −18.3851 + 6.73367i −1.11888 + 0.409798i
\(271\) 0.729017 + 0.656410i 0.0442847 + 0.0398741i 0.690976 0.722878i \(-0.257181\pi\)
−0.646691 + 0.762752i \(0.723848\pi\)
\(272\) 0.854812 2.63084i 0.0518306 0.159518i
\(273\) −23.7406 3.76291i −1.43685 0.227742i
\(274\) 7.99424i 0.482950i
\(275\) −22.4568 20.6494i −1.35420 1.24520i
\(276\) 0.0376485 + 0.457421i 0.00226618 + 0.0275335i
\(277\) −2.07442 4.65921i −0.124640 0.279945i 0.840439 0.541907i \(-0.182297\pi\)
−0.965078 + 0.261961i \(0.915631\pi\)
\(278\) −2.94784 13.8685i −0.176800 0.831778i
\(279\) 16.2926 + 0.736884i 0.975411 + 0.0441161i
\(280\) 9.96492 + 0.297788i 0.595518 + 0.0177963i
\(281\) 18.2736 13.2765i 1.09011 0.792010i 0.110691 0.993855i \(-0.464694\pi\)
0.979418 + 0.201844i \(0.0646935\pi\)
\(282\) −0.800489 + 6.25329i −0.0476684 + 0.372378i
\(283\) 3.34226 3.00939i 0.198677 0.178890i −0.563787 0.825920i \(-0.690656\pi\)
0.762464 + 0.647031i \(0.223989\pi\)
\(284\) −0.759374 1.70558i −0.0450606 0.101208i
\(285\) −20.2768 + 42.9060i −1.20109 + 2.54153i
\(286\) 13.9666 + 10.3721i 0.825860 + 0.613315i
\(287\) 7.16680 + 17.4846i 0.423043 + 1.03208i
\(288\) −2.50424 + 1.65190i −0.147564 + 0.0973389i
\(289\) 9.14370 1.94355i 0.537864 0.114327i
\(290\) −3.89447 + 18.3220i −0.228691 + 1.07591i
\(291\) 5.33155 4.58670i 0.312541 0.268877i
\(292\) 5.78245 12.9876i 0.338392 0.760041i
\(293\) −6.18542 19.0368i −0.361356 1.11214i −0.952232 0.305377i \(-0.901218\pi\)
0.590876 0.806763i \(-0.298782\pi\)
\(294\) −5.82578 + 10.6330i −0.339766 + 0.620128i
\(295\) −32.1283 23.3426i −1.87058 1.35906i
\(296\) −2.08728 3.61527i −0.121320 0.210133i
\(297\) −9.75716 + 14.2056i −0.566168 + 0.824290i
\(298\) 11.0745 19.1816i 0.641530 1.11116i
\(299\) −0.145287 + 1.38231i −0.00840215 + 0.0799412i
\(300\) 15.2596 4.57961i 0.881013 0.264404i
\(301\) 9.18333 + 10.8331i 0.529318 + 0.624409i
\(302\) −4.64310 6.39068i −0.267180 0.367742i
\(303\) −2.61659 13.8410i −0.150319 0.795147i
\(304\) −1.51179 + 7.11240i −0.0867069 + 0.407924i
\(305\) 9.20520 + 10.2234i 0.527088 + 0.585391i
\(306\) 7.42098 + 3.71447i 0.424229 + 0.212342i
\(307\) 29.0371i 1.65724i 0.559814 + 0.828618i \(0.310872\pi\)
−0.559814 + 0.828618i \(0.689128\pi\)
\(308\) 7.30128 4.86738i 0.416029 0.277345i
\(309\) −4.27710 6.17572i −0.243316 0.351325i
\(310\) −20.3725 2.14124i −1.15708 0.121614i
\(311\) 11.5574 10.4063i 0.655359 0.590088i −0.272891 0.962045i \(-0.587980\pi\)
0.928250 + 0.371957i \(0.121313\pi\)
\(312\) −8.38106 + 3.50676i −0.474484 + 0.198531i
\(313\) 23.6254 + 10.5187i 1.33538 + 0.594551i 0.945292 0.326224i \(-0.105777\pi\)
0.390092 + 0.920776i \(0.372443\pi\)
\(314\) −10.8741 + 7.90048i −0.613660 + 0.445850i
\(315\) −5.34831 + 29.4260i −0.301343 + 1.65797i
\(316\) 1.12812 + 0.366549i 0.0634617 + 0.0206200i
\(317\) −3.28013 0.344755i −0.184230 0.0193634i 0.0119639 0.999928i \(-0.496192\pi\)
−0.196194 + 0.980565i \(0.562858\pi\)
\(318\) 0.373836 + 4.54201i 0.0209637 + 0.254703i
\(319\) 6.54812 + 15.1311i 0.366624 + 0.847178i
\(320\) 3.26324 1.88403i 0.182421 0.105321i
\(321\) 0.321498 14.2240i 0.0179443 0.793904i
\(322\) 0.631669 + 0.304161i 0.0352015 + 0.0169502i
\(323\) 19.1296 6.21559i 1.06440 0.345845i
\(324\) −3.77803 8.16863i −0.209890 0.453813i
\(325\) 47.9837 5.04329i 2.66166 0.279752i
\(326\) −16.3863 3.48302i −0.907554 0.192907i
\(327\) −6.83546 + 7.25493i −0.378002 + 0.401199i
\(328\) 5.77815 + 4.19807i 0.319045 + 0.231800i
\(329\) 7.61828 + 5.89056i 0.420009 + 0.324757i
\(330\) 13.2949 17.0819i 0.731861 0.940326i
\(331\) 8.44348 + 14.6245i 0.464095 + 0.803837i 0.999160 0.0409742i \(-0.0130462\pi\)
−0.535065 + 0.844811i \(0.679713\pi\)
\(332\) −1.62944 + 0.725474i −0.0894272 + 0.0398155i
\(333\) 11.6594 4.57170i 0.638931 0.250528i
\(334\) 16.8334 18.6953i 0.921081 1.02296i
\(335\) −19.4343 26.7490i −1.06181 1.46145i
\(336\) 0.239314 + 4.57632i 0.0130556 + 0.249659i
\(337\) −5.08135 + 1.65103i −0.276799 + 0.0899373i −0.444127 0.895964i \(-0.646486\pi\)
0.167328 + 0.985901i \(0.446486\pi\)
\(338\) −14.1960 + 3.01746i −0.772162 + 0.164128i
\(339\) −8.97717 + 14.7679i −0.487573 + 0.802081i
\(340\) −9.02688 5.21167i −0.489551 0.282643i
\(341\) −15.7083 + 8.85153i −0.850651 + 0.479337i
\(342\) −20.4205 7.67133i −1.10421 0.414818i
\(343\) 9.50118 + 15.8974i 0.513016 + 0.858379i
\(344\) 5.10504 + 1.65873i 0.275245 + 0.0894326i
\(345\) 1.71542 + 0.219593i 0.0923553 + 0.0118225i
\(346\) 1.10188 + 10.4837i 0.0592375 + 0.563607i
\(347\) 3.33343 + 31.7155i 0.178948 + 1.70258i 0.603655 + 0.797246i \(0.293710\pi\)
−0.424707 + 0.905331i \(0.639623\pi\)
\(348\) −8.54047 1.09327i −0.457817 0.0586056i
\(349\) 4.33484 + 1.40848i 0.232039 + 0.0753940i 0.422728 0.906256i \(-0.361072\pi\)
−0.190690 + 0.981650i \(0.561072\pi\)
\(350\) 5.76864 23.6429i 0.308347 1.26377i
\(351\) −6.64700 26.4324i −0.354791 1.41086i
\(352\) 1.38059 3.01562i 0.0735859 0.160733i
\(353\) −17.4540 10.0770i −0.928981 0.536347i −0.0424916 0.999097i \(-0.513530\pi\)
−0.886489 + 0.462750i \(0.846863\pi\)
\(354\) 9.48218 15.5986i 0.503972 0.829058i
\(355\) −6.88122 + 1.46265i −0.365217 + 0.0776293i
\(356\) 0.554814 0.180270i 0.0294051 0.00955429i
\(357\) 10.6322 6.90289i 0.562713 0.365339i
\(358\) 7.55932 + 10.4045i 0.399522 + 0.549895i
\(359\) 1.17775 1.30802i 0.0621593 0.0690349i −0.711263 0.702926i \(-0.751877\pi\)
0.773422 + 0.633891i \(0.218543\pi\)
\(360\) 4.12655 + 10.5241i 0.217488 + 0.554669i
\(361\) −30.9434 + 13.7769i −1.62860 + 0.725099i
\(362\) −6.54079 11.3290i −0.343776 0.595438i
\(363\) 0.828672 19.0345i 0.0434940 0.999054i
\(364\) −1.86224 + 13.7522i −0.0976077 + 0.720814i
\(365\) −43.3386 31.4873i −2.26844 1.64812i
\(366\) −4.33642 + 4.60253i −0.226668 + 0.240578i
\(367\) −34.4953 7.33219i −1.80064 0.382737i −0.819046 0.573728i \(-0.805497\pi\)
−0.981592 + 0.190990i \(0.938830\pi\)
\(368\) 0.263533 0.0276985i 0.0137376 0.00144388i
\(369\) −15.0419 + 15.2590i −0.783053 + 0.794351i
\(370\) −14.9601 + 4.86084i −0.777739 + 0.252703i
\(371\) 6.27223 + 3.02020i 0.325638 + 0.156801i
\(372\) 0.212774 9.41373i 0.0110318 0.488079i
\(373\) 12.5257 7.23170i 0.648555 0.374443i −0.139347 0.990244i \(-0.544500\pi\)
0.787902 + 0.615800i \(0.211167\pi\)
\(374\) −9.13381 + 0.863561i −0.472298 + 0.0446537i
\(375\) −2.24762 27.3080i −0.116067 1.41018i
\(376\) 3.61986 + 0.380463i 0.186680 + 0.0196209i
\(377\) −24.7986 8.05756i −1.27719 0.414985i
\(378\) −13.6822 1.34062i −0.703737 0.0689540i
\(379\) 2.51776 1.82926i 0.129328 0.0939626i −0.521240 0.853410i \(-0.674531\pi\)
0.650569 + 0.759447i \(0.274531\pi\)
\(380\) 25.0300 + 11.1441i 1.28401 + 0.571679i
\(381\) 9.79510 4.09842i 0.501818 0.209969i
\(382\) −16.7393 + 15.0722i −0.856458 + 0.771159i
\(383\) −1.22492 0.128744i −0.0625904 0.00657852i 0.0731815 0.997319i \(-0.476685\pi\)
−0.135772 + 0.990740i \(0.543351\pi\)
\(384\) 0.986150 + 1.42391i 0.0503243 + 0.0726634i
\(385\) −12.2198 30.7237i −0.622779 1.56583i
\(386\) 3.33679i 0.169838i
\(387\) −7.20777 + 14.4001i −0.366392 + 0.731999i
\(388\) −2.71701 3.01755i −0.137935 0.153193i
\(389\) −3.55370 + 16.7188i −0.180180 + 0.847679i 0.791462 + 0.611219i \(0.209321\pi\)
−0.971641 + 0.236460i \(0.924013\pi\)
\(390\) 6.35904 + 33.6376i 0.322003 + 1.70331i
\(391\) −0.430852 0.593017i −0.0217891 0.0299902i
\(392\) 6.21339 + 3.22394i 0.313824 + 0.162833i
\(393\) 14.0102 4.20465i 0.706721 0.212096i
\(394\) −0.150083 + 1.42794i −0.00756106 + 0.0719387i
\(395\) 2.23480 3.87078i 0.112445 0.194760i
\(396\) 8.32678 + 5.44653i 0.418437 + 0.273699i
\(397\) −19.1196 33.1161i −0.959586 1.66205i −0.723506 0.690318i \(-0.757471\pi\)
−0.236080 0.971734i \(-0.575863\pi\)
\(398\) 16.9108 + 12.2864i 0.847663 + 0.615863i
\(399\) −25.8979 + 20.9668i −1.29651 + 1.04965i
\(400\) −2.84244 8.74814i −0.142122 0.437407i
\(401\) −4.79892 + 10.7785i −0.239647 + 0.538255i −0.992827 0.119559i \(-0.961852\pi\)
0.753181 + 0.657814i \(0.228519\pi\)
\(402\) 11.5213 9.91174i 0.574633 0.494353i
\(403\) 5.92873 27.8925i 0.295331 1.38942i
\(404\) −7.95495 + 1.69088i −0.395773 + 0.0841243i
\(405\) −33.0671 + 7.52527i −1.64312 + 0.373934i
\(406\) −8.04507 + 10.4047i −0.399270 + 0.516377i
\(407\) −8.25479 + 11.1155i −0.409175 + 0.550974i
\(408\) 2.04719 4.33187i 0.101351 0.214460i
\(409\) −4.96097 11.1425i −0.245304 0.550963i 0.748368 0.663284i \(-0.230838\pi\)
−0.993672 + 0.112322i \(0.964171\pi\)
\(410\) 19.9997 18.0078i 0.987714 0.889341i
\(411\) 1.75815 13.7344i 0.0867230 0.677466i
\(412\) −3.50884 + 2.54932i −0.172868 + 0.125596i
\(413\) −13.2146 24.5542i −0.650249 1.20823i
\(414\) −0.0359177 + 0.794143i −0.00176526 + 0.0390300i
\(415\) 1.39735 + 6.57403i 0.0685933 + 0.322706i
\(416\) 2.13346 + 4.79182i 0.104601 + 0.234938i
\(417\) −2.01443 24.4749i −0.0986471 1.19854i
\(418\) 23.6403 4.76715i 1.15628 0.233169i
\(419\) 28.4492i 1.38984i 0.719089 + 0.694918i \(0.244559\pi\)
−0.719089 + 0.694918i \(0.755441\pi\)
\(420\) 17.0546 + 2.70316i 0.832177 + 0.131901i
\(421\) −2.09064 + 6.43434i −0.101892 + 0.313590i −0.988988 0.147993i \(-0.952719\pi\)
0.887097 + 0.461584i \(0.152719\pi\)
\(422\) 4.16011 + 3.74578i 0.202511 + 0.182342i
\(423\) −2.75053 + 10.5673i −0.133735 + 0.513800i
\(424\) 2.61679 0.275035i 0.127082 0.0133569i
\(425\) −17.0258 + 18.9091i −0.825874 + 0.917226i
\(426\) −0.929525 3.09725i −0.0450356 0.150062i
\(427\) 2.70919 + 9.27175i 0.131107 + 0.448691i
\(428\) −8.21431 −0.397053
\(429\) 21.7139 + 20.8912i 1.04836 + 1.00864i
\(430\) 10.1130 17.5163i 0.487694 0.844710i
\(431\) −0.804251 + 0.358076i −0.0387394 + 0.0172479i −0.426015 0.904716i \(-0.640083\pi\)
0.387275 + 0.921964i \(0.373416\pi\)
\(432\) −4.66567 + 2.28726i −0.224477 + 0.110046i
\(433\) 5.24575 + 16.1447i 0.252094 + 0.775867i 0.994388 + 0.105792i \(0.0337379\pi\)
−0.742294 + 0.670075i \(0.766262\pi\)
\(434\) −12.2360 7.56056i −0.587347 0.362918i
\(435\) −10.7203 + 30.6213i −0.514000 + 1.46818i
\(436\) 4.27674 + 3.85080i 0.204819 + 0.184420i
\(437\) 1.28927 + 1.43188i 0.0616742 + 0.0684961i
\(438\) 12.7907 21.0414i 0.611165 1.00540i
\(439\) 6.60866 3.81551i 0.315414 0.182104i −0.333933 0.942597i \(-0.608376\pi\)
0.649347 + 0.760493i \(0.275042\pi\)
\(440\) −10.0332 7.45101i −0.478312 0.355213i
\(441\) −12.3474 + 16.9866i −0.587969 + 0.808883i
\(442\) 8.52859 11.7386i 0.405664 0.558348i
\(443\) −1.76987 8.32660i −0.0840892 0.395609i 0.915894 0.401420i \(-0.131483\pi\)
−0.999983 + 0.00581181i \(0.998150\pi\)
\(444\) −2.79091 6.67019i −0.132451 0.316553i
\(445\) −0.229771 2.18612i −0.0108922 0.103632i
\(446\) 17.5295 + 7.80463i 0.830045 + 0.369560i
\(447\) 23.2449 30.5191i 1.09945 1.44350i
\(448\) 2.63834 0.197836i 0.124650 0.00934689i
\(449\) 12.2986 16.9275i 0.580405 0.798859i −0.413334 0.910579i \(-0.635636\pi\)
0.993740 + 0.111720i \(0.0356360\pi\)
\(450\) 27.2236 4.51191i 1.28334 0.212694i
\(451\) 5.16696 23.1175i 0.243303 1.08856i
\(452\) 8.64118 + 4.98899i 0.406447 + 0.234662i
\(453\) −6.57151 12.0005i −0.308756 0.563834i
\(454\) −2.61311 + 8.04232i −0.122639 + 0.377445i
\(455\) 49.2281 + 17.6376i 2.30785 + 0.826861i
\(456\) −4.16151 + 11.8868i −0.194880 + 0.556652i
\(457\) −12.2510 + 27.5163i −0.573079 + 1.28716i 0.361822 + 0.932247i \(0.382155\pi\)
−0.934901 + 0.354909i \(0.884512\pi\)
\(458\) 20.3675 + 4.32925i 0.951711 + 0.202292i
\(459\) 11.9326 + 8.01365i 0.556965 + 0.374045i
\(460\) 0.104370 0.993012i 0.00486626 0.0462994i
\(461\) −29.4709 −1.37260 −0.686299 0.727320i \(-0.740766\pi\)
−0.686299 + 0.727320i \(0.740766\pi\)
\(462\) 13.6143 6.75656i 0.633394 0.314344i
\(463\) 5.36167 0.249178 0.124589 0.992208i \(-0.460239\pi\)
0.124589 + 0.992208i \(0.460239\pi\)
\(464\) −0.519619 + 4.94385i −0.0241227 + 0.229512i
\(465\) −34.5297 8.15918i −1.60128 0.378373i
\(466\) −4.53271 0.963458i −0.209974 0.0446313i
\(467\) 9.42414 21.1670i 0.436097 0.979491i −0.553129 0.833096i \(-0.686566\pi\)
0.989226 0.146395i \(-0.0467670\pi\)
\(468\) −15.1702 + 4.18151i −0.701241 + 0.193291i
\(469\) −4.14633 22.8423i −0.191460 1.05476i
\(470\) 4.23817 13.0437i 0.195492 0.601663i
\(471\) −20.4195 + 11.1818i −0.940883 + 0.515229i
\(472\) −9.12728 5.26964i −0.420117 0.242555i
\(473\) −1.67570 17.7238i −0.0770489 0.814941i
\(474\) 1.85753 + 0.877846i 0.0853193 + 0.0403208i
\(475\) 39.3133 54.1101i 1.80382 2.48274i
\(476\) −4.12308 6.04685i −0.188981 0.277157i
\(477\) −0.356649 + 7.88554i −0.0163298 + 0.361054i
\(478\) 8.80687 + 3.92107i 0.402817 + 0.179346i
\(479\) 2.40215 + 22.8549i 0.109757 + 1.04427i 0.901312 + 0.433171i \(0.142605\pi\)
−0.791555 + 0.611098i \(0.790728\pi\)
\(480\) 6.02070 2.51916i 0.274806 0.114983i
\(481\) −4.55260 21.4183i −0.207581 0.976590i
\(482\) 4.33273 5.96349i 0.197350 0.271629i
\(483\) 1.01833 + 0.661478i 0.0463358 + 0.0300983i
\(484\) −10.9976 0.229982i −0.499891 0.0104537i
\(485\) −13.2504 + 7.65014i −0.601671 + 0.347375i
\(486\) −4.69427 14.8649i −0.212936 0.674283i
\(487\) 14.7364 + 16.3664i 0.667769 + 0.741633i 0.977903 0.209060i \(-0.0670405\pi\)
−0.310134 + 0.950693i \(0.600374\pi\)
\(488\) 2.71317 + 2.44295i 0.122819 + 0.110587i
\(489\) −27.3862 9.58772i −1.23845 0.433572i
\(490\) 16.7503 20.3751i 0.756700 0.920455i
\(491\) 0.700532 + 2.15602i 0.0316146 + 0.0972997i 0.965619 0.259963i \(-0.0837102\pi\)
−0.934004 + 0.357262i \(0.883710\pi\)
\(492\) 9.00377 + 8.48318i 0.405921 + 0.382451i
\(493\) 12.5623 5.59309i 0.565777 0.251900i
\(494\) −19.0701 + 33.0303i −0.858003 + 1.48610i
\(495\) 26.5978 26.4233i 1.19548 1.18764i
\(496\) −5.43641 −0.244102
\(497\) −4.79882 1.17086i −0.215257 0.0525205i
\(498\) −2.95898 + 0.888029i −0.132595 + 0.0397935i
\(499\) −28.0074 + 31.1053i −1.25378 + 1.39247i −0.367036 + 0.930207i \(0.619627\pi\)
−0.886745 + 0.462259i \(0.847039\pi\)
\(500\) −15.7330 + 1.65360i −0.703599 + 0.0739512i
\(501\) 33.0319 28.4171i 1.47575 1.26958i
\(502\) 0.644235 + 0.580072i 0.0287536 + 0.0258899i
\(503\) −5.45642 + 16.7931i −0.243290 + 0.748769i 0.752623 + 0.658452i \(0.228788\pi\)
−0.995913 + 0.0903177i \(0.971212\pi\)
\(504\) −0.595308 + 7.91490i −0.0265171 + 0.352558i
\(505\) 30.6444i 1.36366i
\(506\) −0.431447 0.765664i −0.0191802 0.0340379i
\(507\) −25.0529 + 2.06200i −1.11264 + 0.0915768i
\(508\) −2.49341 5.60029i −0.110627 0.248473i
\(509\) −7.31258 34.4030i −0.324124 1.52489i −0.774805 0.632200i \(-0.782152\pi\)
0.450681 0.892685i \(-0.351181\pi\)
\(510\) −14.3623 10.9391i −0.635972 0.484390i
\(511\) −17.8255 33.1217i −0.788554 1.46522i
\(512\) 0.809017 0.587785i 0.0357538 0.0259767i
\(513\) −33.3959 17.6706i −1.47447 0.780176i
\(514\) −11.2013 + 10.0857i −0.494070 + 0.444862i
\(515\) 6.64720 + 14.9298i 0.292910 + 0.657888i
\(516\) 8.40582 + 3.97248i 0.370045 + 0.174879i
\(517\) −3.61018 11.5194i −0.158775 0.506622i
\(518\) −10.9449 1.48209i −0.480893 0.0651192i
\(519\) −0.412579 + 18.2536i −0.0181102 + 0.801246i
\(520\) 19.3327 4.10930i 0.847797 0.180205i
\(521\) 2.21277 10.4102i 0.0969430 0.456081i −0.902723 0.430223i \(-0.858435\pi\)
0.999666 0.0258580i \(-0.00823178\pi\)
\(522\) −14.4324 3.75656i −0.631687 0.164420i
\(523\) −11.5357 + 25.9096i −0.504420 + 1.13295i 0.464500 + 0.885573i \(0.346234\pi\)
−0.968920 + 0.247373i \(0.920433\pi\)
\(524\) −2.60971 8.03187i −0.114006 0.350874i
\(525\) 15.1104 39.3506i 0.659473 1.71740i
\(526\) −3.88096 2.81968i −0.169218 0.122944i
\(527\) 7.51918 + 13.0236i 0.327541 + 0.567317i
\(528\) 3.03512 4.87730i 0.132087 0.212257i
\(529\) −11.4649 + 19.8578i −0.498474 + 0.863382i
\(530\) 1.03635 9.86023i 0.0450162 0.428301i
\(531\) 19.7212 24.7136i 0.855829 1.07248i
\(532\) 12.4400 + 14.6748i 0.539341 + 0.636233i
\(533\) 22.0201 + 30.3081i 0.953798 + 1.31279i
\(534\) 0.992834 0.187691i 0.0429641 0.00812219i
\(535\) −6.43530 + 30.2757i −0.278222 + 1.30893i
\(536\) −5.87140 6.52084i −0.253606 0.281658i
\(537\) 10.6989 + 19.5378i 0.461692 + 0.843117i
\(538\) 27.8609i 1.20117i
\(539\) 1.62854 23.1592i 0.0701464 0.997537i
\(540\) 4.77501 + 18.9883i 0.205484 + 0.817125i
\(541\) 26.4809 + 2.78325i 1.13850 + 0.119661i 0.654962 0.755662i \(-0.272685\pi\)
0.483539 + 0.875323i \(0.339351\pi\)
\(542\) 0.729017 0.656410i 0.0313140 0.0281952i
\(543\) −8.74574 20.9020i −0.375316 0.896992i
\(544\) −2.52708 1.12513i −0.108348 0.0482394i
\(545\) 17.5435 12.7461i 0.751481 0.545983i
\(546\) −6.22387 + 23.2172i −0.266357 + 0.993606i
\(547\) 27.6539 + 8.98531i 1.18240 + 0.384184i 0.833257 0.552886i \(-0.186474\pi\)
0.349141 + 0.937070i \(0.386474\pi\)
\(548\) −7.95044 0.835625i −0.339626 0.0356961i
\(549\) −8.46233 + 6.95360i −0.361163 + 0.296773i
\(550\) −22.8836 + 20.1753i −0.975760 + 0.860279i
\(551\) −31.3035 + 18.0731i −1.33357 + 0.769939i
\(552\) 0.458850 + 0.0103712i 0.0195300 + 0.000441427i
\(553\) 2.59293 1.76800i 0.110263 0.0751830i
\(554\) −4.85053 + 1.57603i −0.206079 + 0.0669592i
\(555\) −26.7710 + 5.06094i −1.13636 + 0.214825i
\(556\) −14.1007 + 1.48204i −0.598002 + 0.0628525i
\(557\) −2.89594 0.615550i −0.122705 0.0260817i 0.146150 0.989262i \(-0.453312\pi\)
−0.268855 + 0.963181i \(0.586645\pi\)
\(558\) 2.43588 16.1263i 0.103119 0.682680i
\(559\) 22.7783 + 16.5494i 0.963418 + 0.699964i
\(560\) 1.33778 9.87921i 0.0565313 0.417473i
\(561\) −15.8821 0.525146i −0.670543 0.0221717i
\(562\) −11.2937 19.5612i −0.476395 0.825140i
\(563\) 35.8135 15.9452i 1.50936 0.672010i 0.525474 0.850810i \(-0.323888\pi\)
0.983886 + 0.178800i \(0.0572213\pi\)
\(564\) 6.13536 + 1.44975i 0.258345 + 0.0610455i
\(565\) 25.1578 27.9405i 1.05839 1.17547i
\(566\) −2.64354 3.63852i −0.111116 0.152938i
\(567\) −23.2116 5.31231i −0.974796 0.223096i
\(568\) −1.77561 + 0.576932i −0.0745031 + 0.0242075i
\(569\) −3.31602 + 0.704842i −0.139015 + 0.0295485i −0.276894 0.960901i \(-0.589305\pi\)
0.137879 + 0.990449i \(0.455972\pi\)
\(570\) 40.5514 + 24.6506i 1.69851 + 1.03250i
\(571\) 31.0407 + 17.9213i 1.29901 + 0.749985i 0.980233 0.197845i \(-0.0633942\pi\)
0.318778 + 0.947829i \(0.396728\pi\)
\(572\) 11.7752 12.8059i 0.492345 0.535440i
\(573\) −32.0735 + 22.2130i −1.33989 + 0.927962i
\(574\) 18.1380 5.29990i 0.757065 0.221213i
\(575\) −2.31813 0.753205i −0.0966725 0.0314108i
\(576\) 1.38108 + 2.66320i 0.0575451 + 0.110967i
\(577\) −0.561381 5.34118i −0.0233706 0.222356i −0.999973 0.00730493i \(-0.997675\pi\)
0.976603 0.215051i \(-0.0689919\pi\)
\(578\) −0.977129 9.29676i −0.0406432 0.386694i
\(579\) 0.733850 5.73272i 0.0304978 0.238244i
\(580\) 17.8146 + 5.78831i 0.739710 + 0.240346i
\(581\) −1.11859 + 4.58459i −0.0464071 + 0.190201i
\(582\) −4.00427 5.78179i −0.165982 0.239663i
\(583\) −4.28410 7.60275i −0.177429 0.314874i
\(584\) −12.3120 7.10834i −0.509475 0.294145i
\(585\) 3.52723 + 59.1889i 0.145833 + 2.44716i
\(586\) −19.5790 + 4.16165i −0.808802 + 0.171916i
\(587\) −12.7186 + 4.13251i −0.524951 + 0.170567i −0.559491 0.828836i \(-0.689003\pi\)
0.0345400 + 0.999403i \(0.489003\pi\)
\(588\) 9.96577 + 6.90531i 0.410982 + 0.284770i
\(589\) −23.2350 31.9802i −0.957381 1.31772i
\(590\) −26.5730 + 29.5123i −1.09399 + 1.21500i
\(591\) −0.571890 + 2.42024i −0.0235244 + 0.0995555i
\(592\) −3.81364 + 1.69794i −0.156740 + 0.0697850i
\(593\) −2.04859 3.54826i −0.0841254 0.145710i 0.820893 0.571082i \(-0.193476\pi\)
−0.905018 + 0.425373i \(0.860143\pi\)
\(594\) 13.1078 + 11.1886i 0.537821 + 0.459074i
\(595\) −25.5172 + 10.4593i −1.04610 + 0.428788i
\(596\) −17.9190 13.0189i −0.733989 0.533275i
\(597\) 26.3512 + 24.8276i 1.07848 + 1.01613i
\(598\) 1.35955 + 0.288982i 0.0555963 + 0.0118173i
\(599\) −2.67862 + 0.281534i −0.109445 + 0.0115032i −0.159093 0.987264i \(-0.550857\pi\)
0.0496474 + 0.998767i \(0.484190\pi\)
\(600\) −2.95946 15.6547i −0.120819 0.639101i
\(601\) −27.3236 + 8.87798i −1.11455 + 0.362140i −0.807686 0.589612i \(-0.799281\pi\)
−0.306867 + 0.951753i \(0.599281\pi\)
\(602\) 11.7337 8.00066i 0.478229 0.326082i
\(603\) 21.9739 14.4948i 0.894846 0.590275i
\(604\) −6.84101 + 3.94966i −0.278357 + 0.160709i
\(605\) −9.46345 + 40.3540i −0.384744 + 1.64062i
\(606\) −14.0387 + 1.15547i −0.570284 + 0.0469379i
\(607\) −27.4288 2.88288i −1.11330 0.117012i −0.470028 0.882651i \(-0.655756\pi\)
−0.643271 + 0.765639i \(0.722423\pi\)
\(608\) 6.91541 + 2.24695i 0.280457 + 0.0911260i
\(609\) −16.1100 + 16.1063i −0.652809 + 0.652660i
\(610\) 11.1296 8.08613i 0.450625 0.327398i
\(611\) 17.4413 + 7.76535i 0.705598 + 0.314152i
\(612\) 4.46983 6.99206i 0.180682 0.282637i
\(613\) −12.7310 + 11.4630i −0.514200 + 0.462987i −0.884911 0.465761i \(-0.845781\pi\)
0.370711 + 0.928748i \(0.379114\pi\)
\(614\) 28.8781 + 3.03521i 1.16542 + 0.122491i
\(615\) 38.3205 26.5395i 1.54523 1.07018i
\(616\) −4.07752 7.77006i −0.164288 0.313065i
\(617\) 20.8212i 0.838230i 0.907933 + 0.419115i \(0.137660\pi\)
−0.907933 + 0.419115i \(0.862340\pi\)
\(618\) −6.58897 + 3.60813i −0.265047 + 0.145140i
\(619\) −11.4542 12.7211i −0.460381 0.511305i 0.467596 0.883942i \(-0.345120\pi\)
−0.927977 + 0.372637i \(0.878454\pi\)
\(620\) −4.25902 + 20.0371i −0.171046 + 0.804710i
\(621\) −0.236361 + 1.35646i −0.00948484 + 0.0544330i
\(622\) −9.14123 12.5818i −0.366530 0.504485i
\(623\) 0.520584 1.45300i 0.0208567 0.0582132i
\(624\) 2.61150 + 8.70170i 0.104543 + 0.348347i
\(625\) −1.42344 + 13.5431i −0.0569375 + 0.541724i
\(626\) 12.9306 22.3964i 0.516810 0.895142i
\(627\) 41.6632 2.99098i 1.66387 0.119448i
\(628\) 6.72055 + 11.6403i 0.268179 + 0.464500i
\(629\) 9.34234 + 6.78761i 0.372504 + 0.270640i
\(630\) 28.7058 + 8.39487i 1.14367 + 0.334460i
\(631\) 4.93069 + 15.1751i 0.196288 + 0.604112i 0.999959 + 0.00903831i \(0.00287702\pi\)
−0.803671 + 0.595073i \(0.797123\pi\)
\(632\) 0.482461 1.08363i 0.0191913 0.0431043i
\(633\) 6.32340 + 7.35028i 0.251333 + 0.292148i
\(634\) −0.685734 + 3.22612i −0.0272340 + 0.128126i
\(635\) −22.5945 + 4.80262i −0.896637 + 0.190586i
\(636\) 4.55621 + 0.102982i 0.180665 + 0.00408350i
\(637\) 25.7704 + 26.1541i 1.02106 + 1.03626i
\(638\) 15.7327 4.93062i 0.622862 0.195205i
\(639\) −0.915786 5.52560i −0.0362279 0.218589i
\(640\) −1.53261 3.44230i −0.0605818 0.136069i
\(641\) 10.6874 9.62296i 0.422126 0.380084i −0.430513 0.902584i \(-0.641667\pi\)
0.852639 + 0.522500i \(0.175001\pi\)
\(642\) −14.1124 1.80655i −0.556973 0.0712987i
\(643\) 12.1756 8.84606i 0.480157 0.348854i −0.321229 0.947001i \(-0.604096\pi\)
0.801386 + 0.598147i \(0.204096\pi\)
\(644\) 0.368522 0.596415i 0.0145218 0.0235021i
\(645\) 21.2268 27.8694i 0.835805 1.09736i
\(646\) −4.18195 19.6745i −0.164537 0.774084i
\(647\) 4.33708 + 9.74124i 0.170508 + 0.382968i 0.978506 0.206218i \(-0.0661155\pi\)
−0.807998 + 0.589185i \(0.799449\pi\)
\(648\) −8.51879 + 2.90348i −0.334650 + 0.114059i
\(649\) −4.01700 + 34.7233i −0.157681 + 1.36301i
\(650\) 48.2480i 1.89244i
\(651\) −19.3591 15.6803i −0.758741 0.614559i
\(652\) −5.17677 + 15.9325i −0.202738 + 0.623964i
\(653\) 14.7932 + 13.3198i 0.578901 + 0.521245i 0.905739 0.423836i \(-0.139317\pi\)
−0.326838 + 0.945080i \(0.605983\pi\)
\(654\) 6.50069 + 7.55636i 0.254197 + 0.295477i
\(655\) −31.6478 + 3.32632i −1.23658 + 0.129970i
\(656\) 4.77905 5.30767i 0.186591 0.207230i
\(657\) 26.6025 33.3367i 1.03786 1.30059i
\(658\) 6.65462 6.96082i 0.259424 0.271361i
\(659\) −9.69431 −0.377637 −0.188818 0.982012i \(-0.560466\pi\)
−0.188818 + 0.982012i \(0.560466\pi\)
\(660\) −15.5986 15.0076i −0.607175 0.584171i
\(661\) 1.99317 3.45228i 0.0775255 0.134278i −0.824656 0.565634i \(-0.808631\pi\)
0.902182 + 0.431356i \(0.141965\pi\)
\(662\) 15.4270 6.86854i 0.599587 0.266953i
\(663\) 17.2340 18.2916i 0.669314 0.710388i
\(664\) 0.551176 + 1.69635i 0.0213898 + 0.0658310i
\(665\) 63.8330 34.3537i 2.47534 1.33218i
\(666\) −3.32792 12.0734i −0.128954 0.467835i
\(667\) 0.978916 + 0.881420i 0.0379038 + 0.0341287i
\(668\) −16.8334 18.6953i −0.651302 0.723344i
\(669\) 28.3998 + 17.2638i 1.09800 + 0.667457i
\(670\) −28.6339 + 16.5318i −1.10622 + 0.638678i
\(671\) 3.86200 11.4764i 0.149091 0.443040i
\(672\) 4.57627 + 0.240353i 0.176533 + 0.00927183i
\(673\) −27.7071 + 38.1355i −1.06803 + 1.47002i −0.195975 + 0.980609i \(0.562787\pi\)
−0.872055 + 0.489408i \(0.837213\pi\)
\(674\) 1.11084 + 5.22609i 0.0427879 + 0.201301i
\(675\) 47.7634 1.76440i 1.83841 0.0679117i
\(676\) 1.51704 + 14.4337i 0.0583477 + 0.555141i
\(677\) −28.8505 12.8451i −1.10882 0.493677i −0.231135 0.972922i \(-0.574244\pi\)
−0.877681 + 0.479245i \(0.840911\pi\)
\(678\) 13.7486 + 10.4717i 0.528012 + 0.402162i
\(679\) −10.7130 + 0.803317i −0.411128 + 0.0308285i
\(680\) −6.12669 + 8.43266i −0.234948 + 0.323378i
\(681\) −6.25813 + 13.2423i −0.239812 + 0.507445i
\(682\) 7.16107 + 16.5475i 0.274212 + 0.633635i
\(683\) −15.9623 9.21585i −0.610781 0.352635i 0.162490 0.986710i \(-0.448047\pi\)
−0.773271 + 0.634076i \(0.781381\pi\)
\(684\) −9.76383 + 19.5067i −0.373329 + 0.745859i
\(685\) −9.30847 + 28.6485i −0.355658 + 1.09460i
\(686\) 16.8035 7.78740i 0.641559 0.297324i
\(687\) 34.0399 + 11.9171i 1.29870 + 0.454667i
\(688\) 2.18326 4.90369i 0.0832361 0.186951i
\(689\) 13.4998 + 2.86948i 0.514303 + 0.109318i
\(690\) 0.397700 1.68307i 0.0151402 0.0640734i
\(691\) 2.86914 27.2981i 0.109147 1.03847i −0.793642 0.608385i \(-0.791818\pi\)
0.902789 0.430083i \(-0.141516\pi\)
\(692\) 10.5414 0.400725
\(693\) 24.8757 8.61384i 0.944951 0.327213i
\(694\) 31.8902 1.21053
\(695\) −5.58443 + 53.1323i −0.211830 + 2.01542i
\(696\) −1.98001 + 8.37941i −0.0750519 + 0.317621i
\(697\) −19.3252 4.10769i −0.731993 0.155590i
\(698\) 1.85387 4.16387i 0.0701702 0.157605i
\(699\) −7.57545 2.65212i −0.286530 0.100312i
\(700\) −22.9104 8.20840i −0.865933 0.310248i
\(701\) −6.68560 + 20.5761i −0.252511 + 0.777150i 0.741798 + 0.670623i \(0.233973\pi\)
−0.994310 + 0.106527i \(0.966027\pi\)
\(702\) −26.9824 + 3.84765i −1.01839 + 0.145220i
\(703\) −26.2877 15.1772i −0.991459 0.572419i
\(704\) −2.85479 1.68825i −0.107594 0.0636283i
\(705\) 10.1500 21.4775i 0.382270 0.808889i
\(706\) −11.8463 + 16.3050i −0.445841 + 0.613647i
\(707\) −9.33501 + 19.3866i −0.351079 + 0.729107i
\(708\) −14.5220 11.0607i −0.545771 0.415688i
\(709\) −5.02191 2.23590i −0.188602 0.0839709i 0.310263 0.950651i \(-0.399583\pi\)
−0.498865 + 0.866680i \(0.666250\pi\)
\(710\) 0.735353 + 6.99641i 0.0275973 + 0.262571i
\(711\) 2.99824 + 1.91669i 0.112443 + 0.0718814i
\(712\) −0.121289 0.570618i −0.00454548 0.0213848i
\(713\) −0.846744 + 1.16544i −0.0317108 + 0.0436462i
\(714\) −5.75371 11.2955i −0.215327 0.422722i
\(715\) −37.9739 53.4325i −1.42014 1.99826i
\(716\) 11.1377 6.43034i 0.416234 0.240313i
\(717\) 14.2681 + 8.67339i 0.532853 + 0.323914i
\(718\) −1.17775 1.30802i −0.0439532 0.0488150i
\(719\) 7.20815 + 6.49025i 0.268819 + 0.242045i 0.792504 0.609866i \(-0.208777\pi\)
−0.523686 + 0.851911i \(0.675443\pi\)
\(720\) 10.8978 3.00387i 0.406137 0.111948i
\(721\) −0.342764 + 11.4700i −0.0127652 + 0.427163i
\(722\) 10.4669 + 32.2139i 0.389539 + 1.19888i
\(723\) 8.75529 9.29258i 0.325613 0.345595i
\(724\) −11.9506 + 5.32076i −0.444141 + 0.197744i
\(725\) 22.8628 39.5996i 0.849104 1.47069i
\(726\) −18.8436 2.81378i −0.699353 0.104429i
\(727\) 50.8145 1.88460 0.942302 0.334763i \(-0.108656\pi\)
0.942302 + 0.334763i \(0.108656\pi\)
\(728\) 13.4823 + 3.28954i 0.499686 + 0.121918i
\(729\) −4.79573 26.5707i −0.177620 0.984099i
\(730\) −35.8449 + 39.8098i −1.32668 + 1.47343i
\(731\) −14.7671 + 1.55209i −0.546181 + 0.0574059i
\(732\) 4.12404 + 4.79376i 0.152429 + 0.177183i
\(733\) −1.63832 1.47515i −0.0605127 0.0544859i 0.638319 0.769772i \(-0.279630\pi\)
−0.698832 + 0.715286i \(0.746297\pi\)
\(734\) −10.8978 + 33.5399i −0.402244 + 1.23798i
\(735\) 33.2585 31.3213i 1.22676 1.15530i
\(736\) 0.264985i 0.00976748i
\(737\) −12.1143 + 26.4610i −0.446234 + 0.974705i
\(738\) 13.6031 + 16.5545i 0.500736 + 0.609381i
\(739\) 15.9402 + 35.8022i 0.586369 + 1.31701i 0.926382 + 0.376585i \(0.122902\pi\)
−0.340013 + 0.940421i \(0.610432\pi\)
\(740\) 3.27045 + 15.3863i 0.120224 + 0.565610i
\(741\) −40.0272 + 52.5531i −1.47044 + 1.93059i
\(742\) 3.65928 5.92217i 0.134336 0.217410i
\(743\) 15.3857 11.1784i 0.564447 0.410095i −0.268637 0.963242i \(-0.586573\pi\)
0.833084 + 0.553147i \(0.186573\pi\)
\(744\) −9.33992 1.19561i −0.342418 0.0438332i
\(745\) −62.0222 + 55.8451i −2.27232 + 2.04601i
\(746\) −5.88280 13.2130i −0.215385 0.483762i
\(747\) −5.27892 + 0.874903i −0.193146 + 0.0320110i
\(748\) −0.0959135 + 9.17405i −0.00350695 + 0.335436i
\(749\) −13.2938 + 17.1930i −0.485746 + 0.628217i
\(750\) −27.3934 0.619161i −1.00026 0.0226085i
\(751\) 1.88501 0.400671i 0.0687850 0.0146207i −0.173391 0.984853i \(-0.555472\pi\)
0.242176 + 0.970232i \(0.422139\pi\)
\(752\) 0.756757 3.56026i 0.0275961 0.129829i
\(753\) 0.979243 + 1.13827i 0.0356856 + 0.0414807i
\(754\) −10.6056 + 23.8205i −0.386232 + 0.867492i
\(755\) 9.19794 + 28.3083i 0.334747 + 1.03025i
\(756\) −2.76345 + 13.4671i −0.100506 + 0.489794i
\(757\) −15.2308 11.0658i −0.553571 0.402193i 0.275529 0.961293i \(-0.411147\pi\)
−0.829100 + 0.559100i \(0.811147\pi\)
\(758\) −1.55606 2.69517i −0.0565186 0.0978931i
\(759\) −0.572850 1.41032i −0.0207931 0.0511914i
\(760\) 13.6994 23.7280i 0.496928 0.860705i
\(761\) −1.66051 + 15.7987i −0.0601935 + 0.572703i 0.922309 + 0.386453i \(0.126300\pi\)
−0.982502 + 0.186250i \(0.940367\pi\)
\(762\) −3.05210 10.1698i −0.110566 0.368415i
\(763\) 14.9813 2.71940i 0.542359 0.0984490i
\(764\) 13.2399 + 18.2231i 0.479001 + 0.659288i
\(765\) −22.2691 21.9523i −0.805139 0.793688i
\(766\) −0.256078 + 1.20475i −0.00925246 + 0.0435294i
\(767\) −36.9907 41.0823i −1.33566 1.48340i
\(768\) 1.51919 0.831909i 0.0548189 0.0300189i
\(769\) 30.6858i 1.10656i −0.832996 0.553279i \(-0.813376\pi\)
0.832996 0.553279i \(-0.186624\pi\)
\(770\) −31.8327 + 8.94137i −1.14717 + 0.322225i
\(771\) −21.4624 + 14.8641i −0.772948 + 0.535318i
\(772\) −3.31851 0.348790i −0.119436 0.0125532i
\(773\) −29.3633 + 26.4389i −1.05613 + 0.950940i −0.998875 0.0474197i \(-0.984900\pi\)
−0.0572509 + 0.998360i \(0.518234\pi\)
\(774\) 13.5678 + 8.67351i 0.487685 + 0.311763i
\(775\) 45.6827 + 20.3392i 1.64097 + 0.730607i
\(776\) −3.28502 + 2.38671i −0.117925 + 0.0856778i
\(777\) −18.4778 4.95336i −0.662887 0.177701i
\(778\) 16.2558 + 5.28183i 0.582798 + 0.189363i
\(779\) 51.6484 + 5.42847i 1.85050 + 0.194495i
\(780\) 34.1180 2.80812i 1.22162 0.100547i
\(781\) 4.09500 + 4.64470i 0.146531 + 0.166200i
\(782\) −0.634805 + 0.366505i −0.0227006 + 0.0131062i
\(783\) −23.9691 9.62794i −0.856585 0.344075i
\(784\) 3.85575 5.84236i 0.137705 0.208656i
\(785\) 48.1682 15.6508i 1.71920 0.558600i
\(786\) −2.71715 14.3730i −0.0969174 0.512667i
\(787\) −16.8255 + 1.76843i −0.599765 + 0.0630378i −0.399546 0.916713i \(-0.630832\pi\)
−0.200219 + 0.979751i \(0.564165\pi\)
\(788\) 1.40443 + 0.298521i 0.0500308 + 0.0106344i
\(789\) −6.04749 5.69783i −0.215296 0.202848i
\(790\) −3.61598 2.62716i −0.128651 0.0934702i
\(791\) 24.4269 10.0124i 0.868519 0.355999i
\(792\) 6.28708 7.71185i 0.223402 0.274029i
\(793\) 9.57511 + 16.5846i 0.340022 + 0.588936i
\(794\) −34.9333 + 15.5533i −1.23974 + 0.551966i
\(795\) 3.94901 16.7123i 0.140057 0.592723i
\(796\) 13.9868 15.5339i 0.495748 0.550584i
\(797\) −13.2536 18.2421i −0.469468 0.646167i 0.506970 0.861963i \(-0.330765\pi\)
−0.976438 + 0.215796i \(0.930765\pi\)
\(798\) 18.1449 + 27.9476i 0.642322 + 0.989335i
\(799\) −9.57573 + 3.11134i −0.338765 + 0.110071i
\(800\) −8.99733 + 1.91244i −0.318104 + 0.0676150i
\(801\) 1.74700 0.104108i 0.0617272 0.00367849i
\(802\) 10.2179 + 5.89929i 0.360806 + 0.208311i
\(803\) −5.41863 + 46.8390i −0.191219 + 1.65291i
\(804\) −8.65313 12.4943i −0.305172 0.440640i
\(805\) −1.90951 1.82552i −0.0673015 0.0643410i
\(806\) −27.1199 8.81180i −0.955259 0.310383i
\(807\) 6.12737 47.8660i 0.215694 1.68496i
\(808\) 0.850095 + 8.08812i 0.0299062 + 0.284539i
\(809\) −1.49790 14.2516i −0.0526634 0.501059i −0.988781 0.149372i \(-0.952275\pi\)
0.936118 0.351687i \(-0.114392\pi\)
\(810\) 4.02759 + 33.6726i 0.141515 + 1.18313i
\(811\) −10.1998 3.31412i −0.358164 0.116375i 0.124407 0.992231i \(-0.460297\pi\)
−0.482571 + 0.875857i \(0.660297\pi\)
\(812\) 9.50678 + 9.08859i 0.333623 + 0.318947i
\(813\) 1.39684 0.967403i 0.0489892 0.0339283i
\(814\) 10.1917 + 9.37146i 0.357220 + 0.328469i
\(815\) 54.6671 + 31.5621i 1.91491 + 1.10557i
\(816\) −4.09415 2.48878i −0.143324 0.0871246i
\(817\) 38.1776 8.11490i 1.33567 0.283905i
\(818\) −11.6001 + 3.76909i −0.405586 + 0.131783i
\(819\) −15.7989 + 38.5192i −0.552058 + 1.34597i
\(820\) −15.8186 21.7724i −0.552410 0.760327i
\(821\) 28.1139 31.2236i 0.981182 1.08971i −0.0147763 0.999891i \(-0.504704\pi\)
0.995958 0.0898217i \(-0.0286297\pi\)
\(822\) −13.4753 3.18415i −0.470006 0.111060i
\(823\) 19.7299 8.78432i 0.687741 0.306202i −0.0329515 0.999457i \(-0.510491\pi\)
0.720692 + 0.693255i \(0.243824\pi\)
\(824\) 2.16859 + 3.75610i 0.0755463 + 0.130850i
\(825\) −43.7519 + 29.6291i −1.52324 + 1.03155i
\(826\) −25.8010 + 10.5756i −0.897732 + 0.367972i
\(827\) 5.57693 + 4.05188i 0.193929 + 0.140898i 0.680513 0.732736i \(-0.261757\pi\)
−0.486584 + 0.873634i \(0.661757\pi\)
\(828\) 0.786038 + 0.118731i 0.0273167 + 0.00412620i
\(829\) 29.4868 + 6.26761i 1.02412 + 0.217683i 0.689206 0.724566i \(-0.257960\pi\)
0.334913 + 0.942249i \(0.391293\pi\)
\(830\) 6.68408 0.702525i 0.232008 0.0243850i
\(831\) −8.67997 + 1.64091i −0.301105 + 0.0569226i
\(832\) 4.98858 1.62089i 0.172948 0.0561941i
\(833\) −19.3291 1.15628i −0.669712 0.0400627i
\(834\) −24.5513 0.554923i −0.850144 0.0192154i
\(835\) −82.0936 + 47.3968i −2.84097 + 1.64023i
\(836\) −2.26995 24.0091i −0.0785079 0.830372i
\(837\) 7.73153 27.1698i 0.267241 0.939124i
\(838\) 28.2934 + 2.97375i 0.977379 + 0.102727i
\(839\) −32.1237 10.4376i −1.10903 0.360346i −0.303460 0.952844i \(-0.598142\pi\)
−0.805572 + 0.592498i \(0.798142\pi\)
\(840\) 4.47104 16.6786i 0.154266 0.575465i
\(841\) 3.46937 2.52065i 0.119634 0.0869189i
\(842\) 6.18056 + 2.75176i 0.212996 + 0.0948319i
\(843\) −15.1009 36.0906i −0.520101 1.24303i
\(844\) 4.16011 3.74578i 0.143197 0.128935i
\(845\) 54.3871 + 5.71631i 1.87097 + 0.196647i
\(846\) 10.2219 + 3.84005i 0.351436 + 0.132024i
\(847\) −18.2796 + 22.6463i −0.628095 + 0.778137i
\(848\) 2.63120i 0.0903558i
\(849\) −3.74148 6.83248i −0.128407 0.234490i
\(850\) 17.0258 + 18.9091i 0.583981 + 0.648577i
\(851\) −0.229991 + 1.08202i −0.00788398 + 0.0370912i
\(852\) −3.17744 + 0.600682i −0.108857 + 0.0205790i
\(853\) −13.5888 18.7034i −0.465272 0.640393i 0.510319 0.859985i \(-0.329527\pi\)
−0.975592 + 0.219592i \(0.929527\pi\)
\(854\) 9.50414 1.72519i 0.325225 0.0590348i
\(855\) 64.2473 + 51.2689i 2.19721 + 1.75336i
\(856\) −0.858629 + 8.16931i −0.0293473 + 0.279221i
\(857\) −0.268054 + 0.464283i −0.00915654 + 0.0158596i −0.870567 0.492049i \(-0.836248\pi\)
0.861411 + 0.507909i \(0.169581\pi\)
\(858\) 23.0465 19.4112i 0.786794 0.662687i
\(859\) −2.03799 3.52991i −0.0695354 0.120439i 0.829161 0.559009i \(-0.188818\pi\)
−0.898697 + 0.438570i \(0.855485\pi\)
\(860\) −16.3632 11.8886i −0.557981 0.405397i
\(861\) 32.3272 5.11636i 1.10171 0.174365i
\(862\) 0.272047 + 0.837275i 0.00926596 + 0.0285177i
\(863\) 4.70051 10.5575i 0.160007 0.359382i −0.815695 0.578482i \(-0.803645\pi\)
0.975702 + 0.219100i \(0.0703121\pi\)
\(864\) 1.78703 + 4.87919i 0.0607961 + 0.165993i
\(865\) 8.25843 38.8529i 0.280795 1.32104i
\(866\) 16.6046 3.52942i 0.564248 0.119935i
\(867\) 0.365868 16.1870i 0.0124255 0.549740i
\(868\) −8.79815 + 11.3787i −0.298629 + 0.386217i
\(869\) −3.93389 0.0411283i −0.133448 0.00139518i
\(870\) 29.3330 + 13.8624i 0.994482 + 0.469979i
\(871\) −18.7204 42.0466i −0.634315 1.42469i
\(872\) 4.27674 3.85080i 0.144829 0.130404i
\(873\) −5.60790 10.8139i −0.189799 0.365996i
\(874\) 1.55880 1.13254i 0.0527272 0.0383086i
\(875\) −22.0008 + 35.6060i −0.743762 + 1.20370i
\(876\) −19.5891 14.9201i −0.661855 0.504103i
\(877\) −11.4244 53.7477i −0.385776 1.81493i −0.557961 0.829867i \(-0.688416\pi\)
0.172186 0.985064i \(-0.444917\pi\)
\(878\) −3.10382 6.97129i −0.104749 0.235269i
\(879\) −34.5526 + 2.84390i −1.16543 + 0.0959222i
\(880\) −8.45894 + 9.19935i −0.285151 + 0.310110i
\(881\) 43.8473i 1.47725i −0.674115 0.738627i \(-0.735475\pi\)
0.674115 0.738627i \(-0.264525\pi\)
\(882\) 15.6028 + 14.0553i 0.525375 + 0.473266i
\(883\) −0.552650 + 1.70088i −0.0185982 + 0.0572392i −0.959925 0.280257i \(-0.909580\pi\)
0.941327 + 0.337497i \(0.109580\pi\)
\(884\) −10.7828 9.70889i −0.362665 0.326545i
\(885\) −52.1438 + 44.8590i −1.75279 + 1.50792i
\(886\) −8.46599 + 0.889811i −0.284420 + 0.0298938i
\(887\) 0.596791 0.662803i 0.0200383 0.0222548i −0.733042 0.680183i \(-0.761900\pi\)
0.753081 + 0.657928i \(0.228567\pi\)
\(888\) −6.92538 + 2.07840i −0.232401 + 0.0697465i
\(889\) −15.7570 3.84454i −0.528472 0.128942i
\(890\) −2.19816 −0.0736826
\(891\) 20.0590 + 22.1051i 0.672002 + 0.740549i
\(892\) 9.59420 16.6176i 0.321238 0.556400i
\(893\) 24.1779 10.7647i 0.809084 0.360227i
\(894\) −27.9221 26.3077i −0.933856 0.879862i
\(895\) −14.9749 46.0881i −0.500557 1.54056i
\(896\) 0.0790295 2.64457i 0.00264019 0.0883489i
\(897\) 2.27220 + 0.795482i 0.0758665 + 0.0265604i
\(898\) −15.5492 14.0006i −0.518885 0.467206i
\(899\) −18.0831 20.0833i −0.603106 0.669817i
\(900\) −1.64155 27.5461i −0.0547183 0.918205i
\(901\) −6.30337 + 3.63925i −0.209996 + 0.121241i
\(902\) −22.4508 7.55509i −0.747530 0.251557i
\(903\) 21.9184 11.1648i 0.729398 0.371542i
\(904\) 5.86490 8.07235i 0.195064 0.268482i
\(905\) 10.2484 + 48.2151i 0.340670 + 1.60273i
\(906\) −12.6217 + 5.28111i −0.419328 + 0.175453i
\(907\) 2.44984 + 23.3087i 0.0813456 + 0.773952i 0.956819 + 0.290685i \(0.0938832\pi\)
−0.875473 + 0.483267i \(0.839450\pi\)
\(908\) 7.72512 + 3.43945i 0.256367 + 0.114142i
\(909\) −24.3731 1.10235i −0.808404 0.0365627i
\(910\) 22.6867 47.1148i 0.752056 1.56184i
\(911\) −32.4753 + 44.6985i −1.07596 + 1.48093i −0.212059 + 0.977257i \(0.568017\pi\)
−0.863897 + 0.503669i \(0.831983\pi\)
\(912\) 11.3867 + 5.38122i 0.377052 + 0.178190i
\(913\) 4.43735 3.91219i 0.146855 0.129474i
\(914\) 26.0849 + 15.0601i 0.862813 + 0.498145i
\(915\) 20.8994 11.4445i 0.690912 0.378345i
\(916\) 6.43451 19.8034i 0.212602 0.654323i
\(917\) −21.0346 7.53633i −0.694624 0.248872i
\(918\) 9.21704 11.0295i 0.304208 0.364029i
\(919\) 10.0641 22.6043i 0.331983 0.745647i −0.668016 0.744147i \(-0.732856\pi\)
0.999999 0.00149932i \(-0.000477249\pi\)
\(920\) −0.976662 0.207596i −0.0321996 0.00684424i
\(921\) 48.9459 + 11.5656i 1.61282 + 0.381101i
\(922\) −3.08055 + 29.3095i −0.101453 + 0.965256i
\(923\) −9.79293 −0.322338
\(924\) −5.29647 14.2460i −0.174241 0.468658i
\(925\) 38.3989 1.26255
\(926\) 0.560447 5.33230i 0.0184174 0.175230i
\(927\) −12.1136 + 4.74979i −0.397862 + 0.156004i
\(928\) 4.86245 + 1.03355i 0.159618 + 0.0339278i
\(929\) 16.8602 37.8687i 0.553166 1.24243i −0.393235 0.919438i \(-0.628644\pi\)
0.946401 0.322993i \(-0.104689\pi\)
\(930\) −11.7238 + 33.4877i −0.384439 + 1.09811i
\(931\) 50.8476 2.28817i 1.66646 0.0749917i
\(932\) −1.43198 + 4.40717i −0.0469060 + 0.144362i
\(933\) −12.9378 23.6264i −0.423566 0.773493i
\(934\) −20.0659 11.5851i −0.656577 0.379075i
\(935\) 33.7379 + 7.54069i 1.10335 + 0.246607i
\(936\) 2.57289 + 15.5241i 0.0840977 + 0.507422i
\(937\) −22.4025 + 30.8343i −0.731856 + 1.00731i 0.267190 + 0.963644i \(0.413905\pi\)
−0.999046 + 0.0436700i \(0.986095\pi\)
\(938\) −23.1506 + 1.73595i −0.755893 + 0.0566807i
\(939\) 27.1407 35.6340i 0.885704 1.16287i
\(940\) −12.5293 5.57840i −0.408660 0.181947i
\(941\) −4.89801 46.6014i −0.159670 1.51916i −0.721793 0.692109i \(-0.756682\pi\)
0.562123 0.827054i \(-0.309985\pi\)
\(942\) 8.98610 + 21.4765i 0.292783 + 0.699742i
\(943\) −0.393488 1.85121i −0.0128137 0.0602838i
\(944\) −6.19483 + 8.52646i −0.201625 + 0.277513i
\(945\) 47.4712 + 20.7358i 1.54424 + 0.674536i
\(946\) −17.8019 0.186116i −0.578788 0.00605116i
\(947\) 28.3906 16.3913i 0.922570 0.532646i 0.0381157 0.999273i \(-0.487864\pi\)
0.884454 + 0.466627i \(0.154531\pi\)
\(948\) 1.06720 1.75560i 0.0346611 0.0570192i
\(949\) −49.8976 55.4169i −1.61974 1.79891i
\(950\) −49.7044 44.7540i −1.61262 1.45201i
\(951\) −1.88762 + 5.39177i −0.0612104 + 0.174840i
\(952\) −6.44471 + 3.46842i −0.208874 + 0.112412i
\(953\) −11.7934 36.2964i −0.382026 1.17575i −0.938615 0.344966i \(-0.887890\pi\)
0.556589 0.830788i \(-0.312110\pi\)
\(954\) 7.80506 + 1.17896i 0.252698 + 0.0381702i
\(955\) 77.5378 34.5220i 2.50906 1.11711i
\(956\) 4.82016 8.34876i 0.155895 0.270018i
\(957\) 28.1136 5.01093i 0.908783 0.161980i
\(958\) 22.9808 0.742477
\(959\) −14.6158 + 15.2883i −0.471969 + 0.493686i
\(960\) −1.87602 6.25104i −0.0605483 0.201752i
\(961\) −0.967207 + 1.07419i −0.0312002 + 0.0346514i
\(962\) −21.7768 + 2.28884i −0.702113 + 0.0737951i
\(963\) −23.8483 6.20740i −0.768501 0.200031i
\(964\) −5.47792 4.93235i −0.176432 0.158860i
\(965\) −3.88535 + 11.9579i −0.125074 + 0.384938i
\(966\) 0.764300 0.943612i 0.0245909 0.0303602i
\(967\) 53.0722i 1.70669i −0.521348 0.853344i \(-0.674571\pi\)
0.521348 0.853344i \(-0.325429\pi\)
\(968\) −1.37828 + 10.9133i −0.0442997 + 0.350767i
\(969\) −2.85777 34.7212i −0.0918047 1.11541i
\(970\) 6.22318 + 13.9775i 0.199814 + 0.448791i
\(971\) 7.18949 + 33.8239i 0.230722 + 1.08546i 0.929128 + 0.369758i \(0.120560\pi\)
−0.698406 + 0.715701i \(0.746107\pi\)
\(972\) −15.2741 + 3.11476i −0.489917 + 0.0999058i
\(973\) −19.7182 + 31.9119i −0.632137 + 1.02305i
\(974\) 17.8171 12.9449i 0.570897 0.414781i
\(975\) 10.6110 82.8917i 0.339825 2.65466i
\(976\) 2.71317 2.44295i 0.0868464 0.0781969i
\(977\) 7.36235 + 16.5361i 0.235542 + 0.529037i 0.992183 0.124795i \(-0.0398272\pi\)
−0.756640 + 0.653831i \(0.773161\pi\)
\(978\) −12.3978 + 26.2340i −0.396439 + 0.838870i
\(979\) −1.57709 + 1.12082i −0.0504042 + 0.0358217i
\(980\) −18.5127 18.7883i −0.591365 0.600170i
\(981\) 9.50654 + 14.4117i 0.303520 + 0.460131i
\(982\) 2.21743 0.471330i 0.0707611 0.0150407i
\(983\) 0.0521669 0.245426i 0.00166386 0.00782787i −0.977308 0.211824i \(-0.932060\pi\)
0.978972 + 0.203996i \(0.0653930\pi\)
\(984\) 9.37786 8.06771i 0.298955 0.257189i
\(985\) 2.20053 4.94248i 0.0701149 0.157481i
\(986\) −4.24934 13.0781i −0.135326 0.416492i
\(987\) 12.9637 10.4954i 0.412640 0.334071i
\(988\) 30.8560 + 22.4182i 0.981661 + 0.713218i
\(989\) −0.711187 1.23181i −0.0226144 0.0391694i
\(990\) −23.4983 29.2141i −0.746825 0.928486i
\(991\) 0.295776 0.512299i 0.00939564 0.0162737i −0.861289 0.508115i \(-0.830343\pi\)
0.870685 + 0.491841i \(0.163676\pi\)
\(992\) −0.568259 + 5.40663i −0.0180423 + 0.171661i
\(993\) 28.0146 8.40756i 0.889018 0.266806i
\(994\) −1.66606 + 4.65014i −0.0528443 + 0.147494i
\(995\) −46.2961 63.7211i −1.46769 2.02010i
\(996\) 0.573867 + 3.03560i 0.0181837 + 0.0961865i
\(997\) 1.34605 6.33264i 0.0426297 0.200557i −0.951679 0.307095i \(-0.900643\pi\)
0.994309 + 0.106538i \(0.0339765\pi\)
\(998\) 28.0074 + 31.1053i 0.886557 + 0.984622i
\(999\) −3.06221 21.4744i −0.0968840 0.679419i
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.bc.a.95.10 128
3.2 odd 2 462.2.bc.b.95.2 yes 128
7.2 even 3 inner 462.2.bc.a.359.12 yes 128
11.8 odd 10 462.2.bc.b.305.10 yes 128
21.2 odd 6 462.2.bc.b.359.10 yes 128
33.8 even 10 inner 462.2.bc.a.305.12 yes 128
77.30 odd 30 462.2.bc.b.107.2 yes 128
231.107 even 30 inner 462.2.bc.a.107.10 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
462.2.bc.a.95.10 128 1.1 even 1 trivial
462.2.bc.a.107.10 yes 128 231.107 even 30 inner
462.2.bc.a.305.12 yes 128 33.8 even 10 inner
462.2.bc.a.359.12 yes 128 7.2 even 3 inner
462.2.bc.b.95.2 yes 128 3.2 odd 2
462.2.bc.b.107.2 yes 128 77.30 odd 30
462.2.bc.b.305.10 yes 128 11.8 odd 10
462.2.bc.b.359.10 yes 128 21.2 odd 6