Properties

Label 605.2.s.b.416.16
Level $605$
Weight $2$
Character 605.416
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [605,2,Mod(16,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(110))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), 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: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 416.16
Character \(\chi\) \(=\) 605.416
Dual form 605.2.s.b.16.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.46553 - 0.168154i) q^{2} +(-2.14433 + 1.55794i) q^{3} +(0.171477 - 0.0398753i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(-2.88060 + 2.64379i) q^{6} +(0.537054 - 0.552615i) q^{7} +(-2.53411 + 0.904170i) q^{8} +(1.24390 - 3.82832i) q^{9} +O(q^{10})\) \(q+(1.46553 - 0.168154i) q^{2} +(-2.14433 + 1.55794i) q^{3} +(0.171477 - 0.0398753i) q^{4} +(-0.564443 - 0.825472i) q^{5} +(-2.88060 + 2.64379i) q^{6} +(0.537054 - 0.552615i) q^{7} +(-2.53411 + 0.904170i) q^{8} +(1.24390 - 3.82832i) q^{9} +(-0.966014 - 1.11484i) q^{10} +(1.91913 - 2.70498i) q^{11} +(-0.305580 + 0.352658i) q^{12} +(-2.98709 - 4.95354i) q^{13} +(0.694144 - 0.900182i) q^{14} +(2.49639 + 0.890710i) q^{15} +(-3.87776 + 1.90657i) q^{16} +(2.21013 + 1.80721i) q^{17} +(1.17922 - 5.81968i) q^{18} +(4.31778 - 0.246900i) q^{19} +(-0.129705 - 0.119042i) q^{20} +(-0.290675 + 2.02169i) q^{21} +(2.35769 - 4.28694i) q^{22} +(-0.597021 - 4.15237i) q^{23} +(4.02532 - 5.88685i) q^{24} +(-0.362808 + 0.931864i) q^{25} +(-5.21063 - 6.75727i) q^{26} +(0.839808 + 2.58466i) q^{27} +(0.0700567 - 0.116176i) q^{28} +(-0.773829 - 1.98756i) q^{29} +(3.80831 + 0.885585i) q^{30} +(5.19895 - 2.19709i) q^{31} +(-0.835440 + 0.536905i) q^{32} +(0.0989673 + 8.79027i) q^{33} +(3.54289 + 2.27688i) q^{34} +(-0.759305 - 0.131403i) q^{35} +(0.0606444 - 0.706070i) q^{36} +(-0.684525 - 7.96977i) q^{37} +(6.28632 - 1.08789i) q^{38} +(14.1226 + 5.96828i) q^{39} +(2.17673 + 1.58149i) q^{40} +(-5.15630 - 2.91189i) q^{41} +(-0.0860380 + 3.01172i) q^{42} +(-11.8141 - 3.46892i) q^{43} +(0.221225 - 0.540369i) q^{44} +(-3.86228 + 1.13407i) q^{45} +(-1.57319 - 5.98503i) q^{46} +(-0.123716 - 0.610562i) q^{47} +(5.34486 - 10.1296i) q^{48} +(0.182935 + 6.40358i) q^{49} +(-0.375009 + 1.42668i) q^{50} +(-7.55477 - 0.431997i) q^{51} +(-0.709742 - 0.730307i) q^{52} +(-2.28745 - 1.12466i) q^{53} +(1.66538 + 3.64668i) q^{54} +(-3.31613 - 0.0573803i) q^{55} +(-0.861297 + 1.88598i) q^{56} +(-8.87408 + 7.25630i) q^{57} +(-1.46829 - 2.78271i) q^{58} +(-7.92394 + 4.47485i) q^{59} +(0.463591 + 0.0531921i) q^{60} +(-1.45769 - 0.167254i) q^{61} +(7.24976 - 4.09413i) q^{62} +(-1.44755 - 2.74341i) q^{63} +(5.55622 - 4.54330i) q^{64} +(-2.40296 + 5.26175i) q^{65} +(1.62316 + 12.8658i) q^{66} +(0.590660 + 1.29336i) q^{67} +(0.451049 + 0.221766i) q^{68} +(7.74937 + 7.97392i) q^{69} +(-1.13488 - 0.0648948i) q^{70} +(-0.878414 + 3.34183i) q^{71} +(0.309276 + 10.8261i) q^{72} +(-6.59814 + 12.5049i) q^{73} +(-2.34334 - 11.5648i) q^{74} +(-0.673814 - 2.56346i) q^{75} +(0.730555 - 0.214510i) q^{76} +(-0.464138 - 2.51326i) q^{77} +(21.7007 + 6.37191i) q^{78} +(0.325680 - 11.4003i) q^{79} +(3.76259 + 2.12483i) q^{80} +(3.94210 + 2.86410i) q^{81} +(-8.04635 - 3.40042i) q^{82} +(11.6130 - 2.00971i) q^{83} +(0.0307713 + 0.358264i) q^{84} +(0.244311 - 2.84446i) q^{85} +(-17.8972 - 3.09723i) q^{86} +(4.75586 + 3.05640i) q^{87} +(-2.41753 + 8.58996i) q^{88} +(8.37033 - 5.37928i) q^{89} +(-5.46958 + 2.31147i) q^{90} +(-4.34163 - 1.00960i) q^{91} +(-0.267952 - 0.688230i) q^{92} +(-7.72530 + 12.8110i) q^{93} +(-0.283978 - 0.873993i) q^{94} +(-2.64095 - 3.42485i) q^{95} +(0.954989 - 2.45287i) q^{96} +(-2.78630 + 4.07484i) q^{97} +(1.34488 + 9.35387i) q^{98} +(-7.96833 - 10.7118i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9} - 6 q^{10} + 5 q^{11} - 5 q^{12} - 26 q^{13} - 108 q^{14} - 12 q^{15} + 34 q^{16} - q^{17} - 14 q^{18} + q^{19} + 19 q^{20} - 10 q^{21} + 275 q^{22} - 51 q^{23} + 283 q^{24} + 22 q^{25} - 16 q^{27} - 4 q^{28} - 19 q^{29} + q^{30} - 34 q^{31} - 122 q^{32} + 19 q^{33} + 52 q^{34} + 8 q^{35} - 21 q^{36} - 109 q^{37} - 10 q^{38} - 9 q^{39} - 64 q^{40} + 4 q^{41} - 49 q^{42} - 97 q^{43} + 17 q^{44} - 80 q^{45} - 91 q^{46} + 166 q^{47} - 159 q^{48} + 175 q^{49} + 4 q^{50} - 112 q^{51} - 128 q^{52} - 141 q^{53} - 37 q^{54} - 5 q^{55} + 79 q^{56} - 204 q^{57} - 190 q^{58} + 9 q^{59} - 22 q^{60} + 2 q^{61} - 105 q^{62} - q^{63} - 176 q^{64} - 14 q^{65} - 112 q^{66} - 13 q^{67} - 35 q^{68} - 53 q^{69} + 24 q^{70} - 50 q^{71} + 705 q^{72} + q^{73} + 40 q^{74} - q^{75} - 148 q^{76} - 104 q^{77} - 187 q^{78} - 83 q^{79} - q^{80} - 238 q^{81} - 54 q^{82} - 151 q^{83} + 4 q^{84} - 29 q^{85} - 39 q^{86} - 74 q^{87} - 143 q^{88} - 52 q^{89} - 28 q^{90} - 188 q^{91} - 253 q^{92} + 122 q^{93} - 187 q^{94} + 122 q^{95} - 155 q^{96} + 283 q^{97} - 92 q^{98} + 172 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{53}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.46553 0.168154i 1.03629 0.118903i 0.420883 0.907115i \(-0.361720\pi\)
0.615403 + 0.788212i \(0.288993\pi\)
\(3\) −2.14433 + 1.55794i −1.23803 + 0.899480i −0.997465 0.0711538i \(-0.977332\pi\)
−0.240562 + 0.970634i \(0.577332\pi\)
\(4\) 0.171477 0.0398753i 0.0857386 0.0199376i
\(5\) −0.564443 0.825472i −0.252427 0.369162i
\(6\) −2.88060 + 2.64379i −1.17600 + 1.07932i
\(7\) 0.537054 0.552615i 0.202987 0.208869i −0.607993 0.793942i \(-0.708025\pi\)
0.810980 + 0.585073i \(0.198934\pi\)
\(8\) −2.53411 + 0.904170i −0.895945 + 0.319672i
\(9\) 1.24390 3.82832i 0.414632 1.27611i
\(10\) −0.966014 1.11484i −0.305481 0.352543i
\(11\) 1.91913 2.70498i 0.578640 0.815583i
\(12\) −0.305580 + 0.352658i −0.0882132 + 0.101803i
\(13\) −2.98709 4.95354i −0.828471 1.37386i −0.925565 0.378589i \(-0.876409\pi\)
0.0970939 0.995275i \(-0.469045\pi\)
\(14\) 0.694144 0.900182i 0.185518 0.240584i
\(15\) 2.49639 + 0.890710i 0.644565 + 0.229980i
\(16\) −3.87776 + 1.90657i −0.969439 + 0.476641i
\(17\) 2.21013 + 1.80721i 0.536034 + 0.438313i 0.861882 0.507109i \(-0.169286\pi\)
−0.325848 + 0.945422i \(0.605650\pi\)
\(18\) 1.17922 5.81968i 0.277945 1.37171i
\(19\) 4.31778 0.246900i 0.990567 0.0566427i 0.445715 0.895175i \(-0.352950\pi\)
0.544852 + 0.838532i \(0.316586\pi\)
\(20\) −0.129705 0.119042i −0.0290029 0.0266186i
\(21\) −0.290675 + 2.02169i −0.0634305 + 0.441169i
\(22\) 2.35769 4.28694i 0.502661 0.913979i
\(23\) −0.597021 4.15237i −0.124487 0.865829i −0.952374 0.304933i \(-0.901366\pi\)
0.827886 0.560896i \(-0.189543\pi\)
\(24\) 4.02532 5.88685i 0.821666 1.20165i
\(25\) −0.362808 + 0.931864i −0.0725615 + 0.186373i
\(26\) −5.21063 6.75727i −1.02189 1.32521i
\(27\) 0.839808 + 2.58466i 0.161621 + 0.497419i
\(28\) 0.0700567 0.116176i 0.0132395 0.0219552i
\(29\) −0.773829 1.98756i −0.143696 0.369081i 0.841560 0.540163i \(-0.181637\pi\)
−0.985257 + 0.171082i \(0.945274\pi\)
\(30\) 3.80831 + 0.885585i 0.695299 + 0.161685i
\(31\) 5.19895 2.19709i 0.933759 0.394610i 0.131317 0.991340i \(-0.458079\pi\)
0.802442 + 0.596731i \(0.203534\pi\)
\(32\) −0.835440 + 0.536905i −0.147686 + 0.0949123i
\(33\) 0.0989673 + 8.79027i 0.0172280 + 1.53019i
\(34\) 3.54289 + 2.27688i 0.607601 + 0.390482i
\(35\) −0.759305 0.131403i −0.128346 0.0222111i
\(36\) 0.0606444 0.706070i 0.0101074 0.117678i
\(37\) −0.684525 7.96977i −0.112535 1.31022i −0.806938 0.590636i \(-0.798877\pi\)
0.694403 0.719587i \(-0.255669\pi\)
\(38\) 6.28632 1.08789i 1.01978 0.176479i
\(39\) 14.1226 + 5.96828i 2.26143 + 0.955690i
\(40\) 2.17673 + 1.58149i 0.344171 + 0.250055i
\(41\) −5.15630 2.91189i −0.805278 0.454761i 0.0333647 0.999443i \(-0.489378\pi\)
−0.838643 + 0.544682i \(0.816650\pi\)
\(42\) −0.0860380 + 3.01172i −0.0132759 + 0.464719i
\(43\) −11.8141 3.46892i −1.80163 0.529005i −0.803800 0.594899i \(-0.797192\pi\)
−0.997827 + 0.0658941i \(0.979010\pi\)
\(44\) 0.221225 0.540369i 0.0333510 0.0814636i
\(45\) −3.86228 + 1.13407i −0.575754 + 0.169057i
\(46\) −1.57319 5.98503i −0.231954 0.882445i
\(47\) −0.123716 0.610562i −0.0180458 0.0890596i 0.970048 0.242915i \(-0.0781037\pi\)
−0.988093 + 0.153856i \(0.950831\pi\)
\(48\) 5.34486 10.1296i 0.771464 1.46209i
\(49\) 0.182935 + 6.40358i 0.0261336 + 0.914797i
\(50\) −0.375009 + 1.42668i −0.0530343 + 0.201763i
\(51\) −7.55477 0.431997i −1.05788 0.0604917i
\(52\) −0.709742 0.730307i −0.0984235 0.101275i
\(53\) −2.28745 1.12466i −0.314205 0.154484i 0.277305 0.960782i \(-0.410559\pi\)
−0.591510 + 0.806298i \(0.701468\pi\)
\(54\) 1.66538 + 3.64668i 0.226630 + 0.496251i
\(55\) −3.31613 0.0573803i −0.447147 0.00773716i
\(56\) −0.861297 + 1.88598i −0.115096 + 0.252024i
\(57\) −8.87408 + 7.25630i −1.17540 + 0.961120i
\(58\) −1.46829 2.78271i −0.192795 0.365388i
\(59\) −7.92394 + 4.47485i −1.03161 + 0.582576i −0.911977 0.410242i \(-0.865444\pi\)
−0.119632 + 0.992818i \(0.538172\pi\)
\(60\) 0.463591 + 0.0531921i 0.0598494 + 0.00686708i
\(61\) −1.45769 0.167254i −0.186638 0.0214147i 0.0201687 0.999797i \(-0.493580\pi\)
−0.206806 + 0.978382i \(0.566307\pi\)
\(62\) 7.24976 4.09413i 0.920721 0.519955i
\(63\) −1.44755 2.74341i −0.182374 0.345637i
\(64\) 5.55622 4.54330i 0.694528 0.567913i
\(65\) −2.40296 + 5.26175i −0.298051 + 0.652640i
\(66\) 1.62316 + 12.8658i 0.199797 + 1.58367i
\(67\) 0.590660 + 1.29336i 0.0721605 + 0.158010i 0.942275 0.334840i \(-0.108682\pi\)
−0.870114 + 0.492850i \(0.835955\pi\)
\(68\) 0.451049 + 0.221766i 0.0546977 + 0.0268931i
\(69\) 7.74937 + 7.97392i 0.932915 + 0.959947i
\(70\) −1.13488 0.0648948i −0.135644 0.00775641i
\(71\) −0.878414 + 3.34183i −0.104249 + 0.396602i −0.998723 0.0505160i \(-0.983913\pi\)
0.894475 + 0.447118i \(0.147550\pi\)
\(72\) 0.309276 + 10.8261i 0.0364486 + 1.27587i
\(73\) −6.59814 + 12.5049i −0.772254 + 1.46358i 0.110563 + 0.993869i \(0.464735\pi\)
−0.882818 + 0.469716i \(0.844356\pi\)
\(74\) −2.34334 11.5648i −0.272408 1.34438i
\(75\) −0.673814 2.56346i −0.0778054 0.296002i
\(76\) 0.730555 0.214510i 0.0838004 0.0246060i
\(77\) −0.464138 2.51326i −0.0528934 0.286413i
\(78\) 21.7007 + 6.37191i 2.45713 + 0.721477i
\(79\) 0.325680 11.4003i 0.0366419 1.28263i −0.748424 0.663220i \(-0.769189\pi\)
0.785066 0.619412i \(-0.212629\pi\)
\(80\) 3.76259 + 2.12483i 0.420670 + 0.237563i
\(81\) 3.94210 + 2.86410i 0.438011 + 0.318234i
\(82\) −8.04635 3.40042i −0.888571 0.375513i
\(83\) 11.6130 2.00971i 1.27470 0.220595i 0.507300 0.861769i \(-0.330644\pi\)
0.767395 + 0.641175i \(0.221553\pi\)
\(84\) 0.0307713 + 0.358264i 0.00335743 + 0.0390898i
\(85\) 0.244311 2.84446i 0.0264993 0.308525i
\(86\) −17.8972 3.09723i −1.92990 0.333982i
\(87\) 4.75586 + 3.05640i 0.509881 + 0.327681i
\(88\) −2.41753 + 8.58996i −0.257710 + 0.915693i
\(89\) 8.37033 5.37928i 0.887253 0.570203i −0.0157313 0.999876i \(-0.505008\pi\)
0.902984 + 0.429673i \(0.141371\pi\)
\(90\) −5.46958 + 2.31147i −0.576545 + 0.243650i
\(91\) −4.34163 1.00960i −0.455127 0.105835i
\(92\) −0.267952 0.688230i −0.0279360 0.0717530i
\(93\) −7.72530 + 12.8110i −0.801076 + 1.32844i
\(94\) −0.283978 0.873993i −0.0292900 0.0901455i
\(95\) −2.64095 3.42485i −0.270956 0.351382i
\(96\) 0.954989 2.45287i 0.0974682 0.250345i
\(97\) −2.78630 + 4.07484i −0.282906 + 0.413737i −0.940583 0.339563i \(-0.889721\pi\)
0.657677 + 0.753300i \(0.271539\pi\)
\(98\) 1.34488 + 9.35387i 0.135854 + 0.944884i
\(99\) −7.96833 10.7118i −0.800848 1.07657i
\(100\) −0.0250549 + 0.174260i −0.00250549 + 0.0174260i
\(101\) 8.92231 + 8.18883i 0.887803 + 0.814819i 0.983559 0.180586i \(-0.0577995\pi\)
−0.0957557 + 0.995405i \(0.530527\pi\)
\(102\) −11.1444 + 0.637258i −1.10346 + 0.0630980i
\(103\) 2.51597 12.4168i 0.247905 1.22346i −0.641780 0.766889i \(-0.721804\pi\)
0.889686 0.456573i \(-0.150923\pi\)
\(104\) 12.0485 + 9.85199i 1.18145 + 0.966067i
\(105\) 1.83292 0.901184i 0.178874 0.0879466i
\(106\) −3.54144 1.26358i −0.343975 0.122730i
\(107\) 10.5110 13.6309i 1.01613 1.31775i 0.0687535 0.997634i \(-0.478098\pi\)
0.947380 0.320112i \(-0.103720\pi\)
\(108\) 0.247072 + 0.409723i 0.0237745 + 0.0394256i
\(109\) −6.32035 + 7.29407i −0.605380 + 0.698645i −0.972862 0.231385i \(-0.925674\pi\)
0.367483 + 0.930030i \(0.380220\pi\)
\(110\) −4.86953 + 0.473527i −0.464292 + 0.0451490i
\(111\) 13.8843 + 16.0234i 1.31784 + 1.52087i
\(112\) −1.02897 + 3.16684i −0.0972283 + 0.299238i
\(113\) −8.86288 + 3.16227i −0.833749 + 0.297481i −0.718214 0.695822i \(-0.755040\pi\)
−0.115535 + 0.993303i \(0.536858\pi\)
\(114\) −11.7850 + 12.1265i −1.10377 + 1.13575i
\(115\) −3.09068 + 2.83660i −0.288208 + 0.264514i
\(116\) −0.211949 0.309965i −0.0196789 0.0287795i
\(117\) −22.6794 + 5.27386i −2.09671 + 0.487568i
\(118\) −10.8603 + 7.89047i −0.999772 + 0.726377i
\(119\) 2.18565 0.250780i 0.200358 0.0229889i
\(120\) −7.13149 −0.651013
\(121\) −3.63386 10.3824i −0.330351 0.943858i
\(122\) −2.16441 −0.195956
\(123\) 15.5934 1.78917i 1.40601 0.161324i
\(124\) 0.803891 0.584061i 0.0721916 0.0524502i
\(125\) 0.974012 0.226497i 0.0871183 0.0202585i
\(126\) −2.58274 3.77713i −0.230089 0.336494i
\(127\) −7.69307 + 7.06064i −0.682650 + 0.626530i −0.940556 0.339640i \(-0.889695\pi\)
0.257906 + 0.966170i \(0.416968\pi\)
\(128\) 8.76308 9.01699i 0.774554 0.796997i
\(129\) 30.7376 10.9671i 2.70629 0.965604i
\(130\) −2.63683 + 8.11532i −0.231265 + 0.711761i
\(131\) −1.25174 1.44458i −0.109365 0.126214i 0.698428 0.715680i \(-0.253883\pi\)
−0.807793 + 0.589467i \(0.799338\pi\)
\(132\) 0.367485 + 1.50338i 0.0319855 + 0.130853i
\(133\) 2.18244 2.51867i 0.189242 0.218396i
\(134\) 1.08311 + 1.79614i 0.0935667 + 0.155163i
\(135\) 1.65954 2.15213i 0.142831 0.185226i
\(136\) −7.23474 2.58135i −0.620373 0.221349i
\(137\) −19.3368 + 9.50726i −1.65205 + 0.812260i −0.653589 + 0.756850i \(0.726738\pi\)
−0.998464 + 0.0554102i \(0.982353\pi\)
\(138\) 12.6978 + 10.3829i 1.08091 + 0.883853i
\(139\) 0.382305 1.88675i 0.0324267 0.160032i −0.960597 0.277943i \(-0.910347\pi\)
0.993024 + 0.117912i \(0.0376199\pi\)
\(140\) −0.135443 + 0.00774492i −0.0114470 + 0.000654565i
\(141\) 1.21651 + 1.11650i 0.102449 + 0.0940264i
\(142\) −0.725399 + 5.04526i −0.0608741 + 0.423389i
\(143\) −19.1319 1.42646i −1.59989 0.119286i
\(144\) 2.47541 + 17.2169i 0.206284 + 1.43474i
\(145\) −1.20390 + 1.76064i −0.0999781 + 0.146213i
\(146\) −7.56703 + 19.4358i −0.626252 + 1.60852i
\(147\) −10.3687 13.4464i −0.855195 1.10904i
\(148\) −0.435177 1.33934i −0.0357714 0.110093i
\(149\) 6.84428 11.3500i 0.560705 0.929825i −0.438807 0.898581i \(-0.644599\pi\)
0.999512 0.0312435i \(-0.00994673\pi\)
\(150\) −1.41855 3.64352i −0.115824 0.297492i
\(151\) 8.09652 + 1.88277i 0.658885 + 0.153217i 0.542590 0.839997i \(-0.317444\pi\)
0.116295 + 0.993215i \(0.462898\pi\)
\(152\) −10.7185 + 4.52968i −0.869386 + 0.367406i
\(153\) 9.66774 6.21308i 0.781590 0.502298i
\(154\) −1.10282 3.60521i −0.0888680 0.290516i
\(155\) −4.74815 3.05145i −0.381381 0.245099i
\(156\) 2.65970 + 0.460279i 0.212946 + 0.0368518i
\(157\) 0.273058 3.17916i 0.0217924 0.253724i −0.977326 0.211741i \(-0.932087\pi\)
0.999118 0.0419838i \(-0.0133678\pi\)
\(158\) −1.43971 16.7622i −0.114537 1.33353i
\(159\) 6.65719 1.15207i 0.527950 0.0913653i
\(160\) 0.914758 + 0.386580i 0.0723180 + 0.0305618i
\(161\) −2.61530 1.90012i −0.206114 0.149751i
\(162\) 6.25887 + 3.53455i 0.491744 + 0.277700i
\(163\) 0.187902 6.57742i 0.0147176 0.515183i −0.958473 0.285183i \(-0.907946\pi\)
0.973191 0.230000i \(-0.0738727\pi\)
\(164\) −1.00030 0.293714i −0.0781103 0.0229352i
\(165\) 7.20026 5.04330i 0.560539 0.392621i
\(166\) 16.6813 4.89807i 1.29472 0.380164i
\(167\) −0.724850 2.75762i −0.0560906 0.213391i 0.933198 0.359362i \(-0.117006\pi\)
−0.989289 + 0.145971i \(0.953369\pi\)
\(168\) −1.09135 5.38601i −0.0841992 0.415540i
\(169\) −9.54815 + 18.0957i −0.734473 + 1.39198i
\(170\) −0.120262 4.20973i −0.00922369 0.322871i
\(171\) 4.42566 16.8370i 0.338439 1.28755i
\(172\) −2.16416 0.123751i −0.165016 0.00943596i
\(173\) 16.7966 + 17.2833i 1.27702 + 1.31402i 0.925938 + 0.377676i \(0.123277\pi\)
0.351081 + 0.936345i \(0.385814\pi\)
\(174\) 7.48380 + 3.67953i 0.567345 + 0.278945i
\(175\) 0.320115 + 0.700954i 0.0241984 + 0.0529872i
\(176\) −2.28470 + 14.1482i −0.172216 + 1.06646i
\(177\) 10.0199 21.9406i 0.753145 1.64916i
\(178\) 11.3624 9.29100i 0.851649 0.696390i
\(179\) −10.1266 19.1920i −0.756895 1.43447i −0.895934 0.444188i \(-0.853492\pi\)
0.139039 0.990287i \(-0.455599\pi\)
\(180\) −0.617071 + 0.348476i −0.0459937 + 0.0259739i
\(181\) 13.3722 + 1.53432i 0.993949 + 0.114045i 0.595679 0.803223i \(-0.296883\pi\)
0.398271 + 0.917268i \(0.369610\pi\)
\(182\) −6.53256 0.749541i −0.484225 0.0555597i
\(183\) 3.38633 1.91235i 0.250324 0.141365i
\(184\) 5.26737 + 9.98277i 0.388316 + 0.735940i
\(185\) −6.19245 + 5.06354i −0.455278 + 0.372279i
\(186\) −9.16744 + 20.0739i −0.672189 + 1.47189i
\(187\) 9.13000 2.51008i 0.667651 0.183555i
\(188\) −0.0455608 0.0997642i −0.00332286 0.00727605i
\(189\) 1.87935 + 0.924012i 0.136702 + 0.0672120i
\(190\) −4.44629 4.57513i −0.322568 0.331915i
\(191\) 13.2008 + 0.754848i 0.955175 + 0.0546189i 0.527720 0.849418i \(-0.323047\pi\)
0.427454 + 0.904037i \(0.359411\pi\)
\(192\) −4.83615 + 18.3986i −0.349019 + 1.32781i
\(193\) −0.0719756 2.51947i −0.00518091 0.181356i −0.998061 0.0622395i \(-0.980176\pi\)
0.992880 0.119116i \(-0.0380061\pi\)
\(194\) −3.39821 + 6.44032i −0.243977 + 0.462388i
\(195\) −3.04478 15.0266i −0.218042 1.07608i
\(196\) 0.286714 + 1.09077i 0.0204796 + 0.0779123i
\(197\) 7.57163 2.22323i 0.539456 0.158399i −0.000643164 1.00000i \(-0.500205\pi\)
0.540100 + 0.841601i \(0.318387\pi\)
\(198\) −13.4791 14.3585i −0.957914 1.02041i
\(199\) −14.2717 4.19054i −1.01169 0.297060i −0.266447 0.963850i \(-0.585850\pi\)
−0.745246 + 0.666790i \(0.767668\pi\)
\(200\) 0.0768325 2.68949i 0.00543288 0.190176i
\(201\) −3.28156 1.85318i −0.231463 0.130713i
\(202\) 14.4529 + 10.5006i 1.01690 + 0.738823i
\(203\) −1.51395 0.639799i −0.106258 0.0449051i
\(204\) −1.31270 + 0.227171i −0.0919071 + 0.0159051i
\(205\) 0.506749 + 5.89998i 0.0353929 + 0.412072i
\(206\) 1.59929 18.6202i 0.111428 1.29733i
\(207\) −16.6392 2.87953i −1.15651 0.200141i
\(208\) 21.0275 + 13.5135i 1.45799 + 0.936995i
\(209\) 7.61853 12.1534i 0.526985 0.840665i
\(210\) 2.53466 1.62892i 0.174908 0.112406i
\(211\) 21.6385 9.14453i 1.48966 0.629535i 0.515804 0.856706i \(-0.327493\pi\)
0.973855 + 0.227171i \(0.0729477\pi\)
\(212\) −0.437091 0.101641i −0.0300195 0.00698074i
\(213\) −3.32278 8.53450i −0.227673 0.584774i
\(214\) 13.1120 21.7439i 0.896321 1.48638i
\(215\) 3.80487 + 11.7102i 0.259490 + 0.798628i
\(216\) −4.46514 5.79050i −0.303815 0.393994i
\(217\) 1.57797 4.05298i 0.107119 0.275134i
\(218\) −8.03613 + 11.7525i −0.544275 + 0.795977i
\(219\) −5.33332 37.0941i −0.360393 2.50659i
\(220\) −0.570928 + 0.122392i −0.0384920 + 0.00825168i
\(221\) 2.35024 16.3462i 0.158094 1.09957i
\(222\) 23.0423 + 21.1480i 1.54650 + 1.41936i
\(223\) −0.352194 + 0.0201392i −0.0235846 + 0.00134862i −0.0688771 0.997625i \(-0.521942\pi\)
0.0452925 + 0.998974i \(0.485578\pi\)
\(224\) −0.151975 + 0.750024i −0.0101542 + 0.0501131i
\(225\) 3.11618 + 2.54808i 0.207745 + 0.169872i
\(226\) −12.4571 + 6.12473i −0.828631 + 0.407411i
\(227\) 17.1344 + 6.11353i 1.13725 + 0.405770i 0.836518 0.547940i \(-0.184588\pi\)
0.300731 + 0.953709i \(0.402769\pi\)
\(228\) −1.23235 + 1.59815i −0.0816147 + 0.105840i
\(229\) 7.50742 + 12.4497i 0.496104 + 0.822696i 0.999136 0.0415717i \(-0.0132365\pi\)
−0.503031 + 0.864268i \(0.667782\pi\)
\(230\) −4.05250 + 4.67683i −0.267214 + 0.308381i
\(231\) 4.91079 + 4.66616i 0.323106 + 0.307011i
\(232\) 3.75807 + 4.33704i 0.246729 + 0.284741i
\(233\) 0.734045 2.25916i 0.0480889 0.148002i −0.924129 0.382081i \(-0.875207\pi\)
0.972218 + 0.234079i \(0.0752074\pi\)
\(234\) −32.3504 + 11.5426i −2.11481 + 0.754564i
\(235\) −0.434171 + 0.446751i −0.0283222 + 0.0291429i
\(236\) −1.18034 + 1.08330i −0.0768335 + 0.0705171i
\(237\) 17.0627 + 24.9533i 1.10834 + 1.62089i
\(238\) 3.16096 0.735050i 0.204895 0.0476462i
\(239\) 2.34716 1.70531i 0.151825 0.110307i −0.509279 0.860601i \(-0.670088\pi\)
0.661104 + 0.750294i \(0.270088\pi\)
\(240\) −11.3786 + 1.30557i −0.734485 + 0.0842743i
\(241\) 1.46346 0.0942700 0.0471350 0.998889i \(-0.484991\pi\)
0.0471350 + 0.998889i \(0.484991\pi\)
\(242\) −7.07138 14.6047i −0.454566 0.938827i
\(243\) −21.0683 −1.35153
\(244\) −0.256629 + 0.0294454i −0.0164290 + 0.00188505i
\(245\) 5.18272 3.76546i 0.331112 0.240567i
\(246\) 22.5517 5.24417i 1.43784 0.334356i
\(247\) −14.1206 20.6508i −0.898475 1.31398i
\(248\) −11.1882 + 10.2684i −0.710450 + 0.652046i
\(249\) −21.7711 + 22.4019i −1.37969 + 1.41966i
\(250\) 1.38936 0.495722i 0.0878706 0.0313522i
\(251\) 1.75241 5.39337i 0.110611 0.340426i −0.880395 0.474241i \(-0.842723\pi\)
0.991006 + 0.133814i \(0.0427226\pi\)
\(252\) −0.357616 0.412710i −0.0225277 0.0259983i
\(253\) −12.3779 6.35402i −0.778189 0.399474i
\(254\) −10.0871 + 11.6412i −0.632924 + 0.730433i
\(255\) 3.90763 + 6.48008i 0.244706 + 0.405799i
\(256\) 2.56074 3.32082i 0.160046 0.207552i
\(257\) 13.3600 + 4.76682i 0.833371 + 0.297346i 0.718058 0.695983i \(-0.245031\pi\)
0.115313 + 0.993329i \(0.463213\pi\)
\(258\) 43.2027 21.2413i 2.68968 1.32243i
\(259\) −4.77185 3.90192i −0.296508 0.242453i
\(260\) −0.202239 + 0.998089i −0.0125423 + 0.0618989i
\(261\) −8.57159 + 0.490141i −0.530568 + 0.0303390i
\(262\) −2.07737 1.90659i −0.128340 0.117790i
\(263\) −3.76641 + 26.1959i −0.232246 + 1.61531i 0.456101 + 0.889928i \(0.349246\pi\)
−0.688347 + 0.725382i \(0.741663\pi\)
\(264\) −8.19869 22.1861i −0.504595 1.36546i
\(265\) 0.362757 + 2.52303i 0.0222840 + 0.154988i
\(266\) 2.77491 4.05817i 0.170140 0.248822i
\(267\) −9.56810 + 24.5755i −0.585558 + 1.50399i
\(268\) 0.152858 + 0.198230i 0.00933728 + 0.0121088i
\(269\) −2.74137 8.43706i −0.167144 0.514417i 0.832044 0.554710i \(-0.187171\pi\)
−0.999188 + 0.0402932i \(0.987171\pi\)
\(270\) 2.07022 3.43307i 0.125990 0.208930i
\(271\) −6.47788 16.6383i −0.393503 1.01070i −0.979688 0.200527i \(-0.935735\pi\)
0.586185 0.810177i \(-0.300629\pi\)
\(272\) −12.0159 2.79418i −0.728571 0.169422i
\(273\) 10.8828 4.59910i 0.658656 0.278350i
\(274\) −26.7399 + 17.1847i −1.61542 + 1.03817i
\(275\) 1.82440 + 2.76976i 0.110015 + 0.167023i
\(276\) 1.64680 + 1.05834i 0.0991259 + 0.0637043i
\(277\) −18.7688 3.24806i −1.12771 0.195157i −0.424010 0.905658i \(-0.639378\pi\)
−0.703697 + 0.710500i \(0.748469\pi\)
\(278\) 0.243015 2.82937i 0.0145751 0.169694i
\(279\) −1.94422 22.6362i −0.116398 1.35519i
\(280\) 2.04298 0.353551i 0.122091 0.0211287i
\(281\) −3.60030 1.52150i −0.214776 0.0907649i 0.279228 0.960225i \(-0.409922\pi\)
−0.494003 + 0.869460i \(0.664467\pi\)
\(282\) 1.97057 + 1.43171i 0.117346 + 0.0852568i
\(283\) 6.14760 + 3.47171i 0.365437 + 0.206372i 0.663503 0.748173i \(-0.269069\pi\)
−0.298066 + 0.954545i \(0.596342\pi\)
\(284\) −0.0173713 + 0.608075i −0.00103080 + 0.0360826i
\(285\) 10.9988 + 3.22953i 0.651512 + 0.191301i
\(286\) −28.2782 + 1.12658i −1.67212 + 0.0666162i
\(287\) −4.37837 + 1.28560i −0.258447 + 0.0758868i
\(288\) 1.01624 + 3.86618i 0.0598826 + 0.227817i
\(289\) −1.75739 8.67308i −0.103376 0.510181i
\(290\) −1.46829 + 2.78271i −0.0862207 + 0.163406i
\(291\) −0.373628 13.0787i −0.0219025 0.766687i
\(292\) −0.632795 + 2.40740i −0.0370315 + 0.140883i
\(293\) 12.7680 + 0.730098i 0.745912 + 0.0426528i 0.425912 0.904765i \(-0.359953\pi\)
0.320000 + 0.947417i \(0.396317\pi\)
\(294\) −17.4567 17.9625i −1.01809 1.04759i
\(295\) 8.16648 + 4.01519i 0.475471 + 0.233773i
\(296\) 8.94070 + 19.5774i 0.519667 + 1.13791i
\(297\) 8.60317 + 2.68864i 0.499207 + 0.156011i
\(298\) 8.12195 17.7846i 0.470492 1.03023i
\(299\) −18.7856 + 15.3609i −1.08640 + 0.888343i
\(300\) −0.217762 0.412705i −0.0125725 0.0238276i
\(301\) −8.26176 + 4.66563i −0.476200 + 0.268923i
\(302\) 12.1823 + 1.39779i 0.701012 + 0.0804336i
\(303\) −31.8901 3.65905i −1.83204 0.210207i
\(304\) −16.2726 + 9.18955i −0.933296 + 0.527057i
\(305\) 0.684717 + 1.29768i 0.0392068 + 0.0743052i
\(306\) 13.1236 10.7311i 0.750227 0.613457i
\(307\) −4.18052 + 9.15406i −0.238595 + 0.522450i −0.990614 0.136692i \(-0.956353\pi\)
0.752019 + 0.659142i \(0.229080\pi\)
\(308\) −0.179806 0.412459i −0.0102454 0.0235021i
\(309\) 13.9496 + 30.5454i 0.793565 + 1.73767i
\(310\) −7.47167 3.67357i −0.424362 0.208645i
\(311\) 18.7212 + 19.2637i 1.06158 + 1.09234i 0.995522 + 0.0945265i \(0.0301337\pi\)
0.0660598 + 0.997816i \(0.478957\pi\)
\(312\) −41.1847 2.35503i −2.33163 0.133327i
\(313\) −6.72935 + 25.6011i −0.380366 + 1.44706i 0.451594 + 0.892224i \(0.350856\pi\)
−0.831959 + 0.554837i \(0.812781\pi\)
\(314\) −0.134413 4.70507i −0.00758536 0.265522i
\(315\) −1.44755 + 2.74341i −0.0815601 + 0.154574i
\(316\) −0.398743 1.96787i −0.0224310 0.110702i
\(317\) −0.730206 2.77799i −0.0410124 0.156028i 0.943489 0.331404i \(-0.107522\pi\)
−0.984501 + 0.175376i \(0.943886\pi\)
\(318\) 9.56259 2.80783i 0.536243 0.157455i
\(319\) −6.86141 1.72120i −0.384165 0.0963689i
\(320\) −6.88654 2.02207i −0.384969 0.113037i
\(321\) −1.30282 + 45.6045i −0.0727161 + 2.54540i
\(322\) −4.15231 2.34492i −0.231399 0.130677i
\(323\) 9.98903 + 7.25746i 0.555805 + 0.403816i
\(324\) 0.790187 + 0.333936i 0.0438993 + 0.0185520i
\(325\) 5.69977 0.986383i 0.316166 0.0547147i
\(326\) −0.830643 9.67100i −0.0460051 0.535627i
\(327\) 2.18913 25.4876i 0.121059 1.40947i
\(328\) 15.6995 + 2.71690i 0.866859 + 0.150016i
\(329\) −0.403848 0.259537i −0.0222649 0.0143088i
\(330\) 9.70414 8.60186i 0.534195 0.473517i
\(331\) −16.1238 + 10.3621i −0.886242 + 0.569553i −0.902680 0.430312i \(-0.858404\pi\)
0.0164386 + 0.999865i \(0.494767\pi\)
\(332\) 1.91123 0.807693i 0.104892 0.0443279i
\(333\) −31.3623 7.29299i −1.71864 0.399653i
\(334\) −1.52599 3.91948i −0.0834986 0.214464i
\(335\) 0.734242 1.21760i 0.0401159 0.0665248i
\(336\) −2.72731 8.39381i −0.148787 0.457920i
\(337\) 0.721511 + 0.935672i 0.0393032 + 0.0509693i 0.811144 0.584847i \(-0.198845\pi\)
−0.771840 + 0.635816i \(0.780664\pi\)
\(338\) −10.9502 + 28.1254i −0.595613 + 1.52982i
\(339\) 14.0783 20.5888i 0.764627 1.11823i
\(340\) −0.0715301 0.497502i −0.00387926 0.0269809i
\(341\) 4.03437 18.2796i 0.218473 0.989895i
\(342\) 3.65473 25.4192i 0.197625 1.37452i
\(343\) 7.61104 + 6.98535i 0.410958 + 0.377174i
\(344\) 33.0747 1.89128i 1.78327 0.101971i
\(345\) 2.20816 10.8977i 0.118883 0.586713i
\(346\) 27.5221 + 22.5047i 1.47960 + 1.20986i
\(347\) 13.8676 6.81824i 0.744452 0.366022i −0.0292501 0.999572i \(-0.509312\pi\)
0.773702 + 0.633550i \(0.218403\pi\)
\(348\) 0.937396 + 0.334462i 0.0502497 + 0.0179291i
\(349\) −11.5171 + 14.9357i −0.616497 + 0.799488i −0.991852 0.127393i \(-0.959339\pi\)
0.375355 + 0.926881i \(0.377521\pi\)
\(350\) 0.587006 + 0.973441i 0.0313768 + 0.0520326i
\(351\) 10.2946 11.8807i 0.549487 0.634142i
\(352\) −0.151002 + 3.29024i −0.00804842 + 0.175371i
\(353\) 1.03812 + 1.19806i 0.0552536 + 0.0637661i 0.782704 0.622395i \(-0.213840\pi\)
−0.727450 + 0.686161i \(0.759295\pi\)
\(354\) 10.9951 33.8395i 0.584384 1.79855i
\(355\) 3.25440 1.16117i 0.172726 0.0616284i
\(356\) 1.22082 1.25619i 0.0647033 0.0665781i
\(357\) −4.29604 + 3.94287i −0.227371 + 0.208679i
\(358\) −18.0680 26.4236i −0.954922 1.39653i
\(359\) −5.56333 + 1.29370i −0.293621 + 0.0682787i −0.370720 0.928745i \(-0.620889\pi\)
0.0770985 + 0.997023i \(0.475434\pi\)
\(360\) 8.76206 6.36601i 0.461801 0.335518i
\(361\) −0.293885 + 0.0337202i −0.0154677 + 0.00177475i
\(362\) 19.8554 1.04358
\(363\) 23.9675 + 16.6020i 1.25797 + 0.871378i
\(364\) −0.784749 −0.0411320
\(365\) 14.0467 1.61171i 0.735238 0.0843607i
\(366\) 4.64119 3.37202i 0.242599 0.176259i
\(367\) 8.34088 1.93959i 0.435390 0.101246i −0.00307203 0.999995i \(-0.500978\pi\)
0.438462 + 0.898750i \(0.355523\pi\)
\(368\) 10.2319 + 14.9636i 0.533373 + 0.780033i
\(369\) −17.5615 + 16.1178i −0.914218 + 0.839061i
\(370\) −8.22376 + 8.46205i −0.427533 + 0.439921i
\(371\) −1.84999 + 0.660074i −0.0960465 + 0.0342693i
\(372\) −0.813871 + 2.50484i −0.0421972 + 0.129870i
\(373\) −19.8223 22.8762i −1.02636 1.18448i −0.982656 0.185440i \(-0.940629\pi\)
−0.0437059 0.999044i \(-0.513916\pi\)
\(374\) 12.9582 5.21383i 0.670052 0.269601i
\(375\) −1.73573 + 2.00314i −0.0896327 + 0.103442i
\(376\) 0.865562 + 1.43537i 0.0446379 + 0.0740237i
\(377\) −7.53398 + 9.77023i −0.388019 + 0.503193i
\(378\) 2.90961 + 1.03815i 0.149654 + 0.0533966i
\(379\) 9.31843 4.58156i 0.478655 0.235339i −0.185913 0.982566i \(-0.559524\pi\)
0.664569 + 0.747227i \(0.268615\pi\)
\(380\) −0.589429 0.481974i −0.0302371 0.0247247i
\(381\) 5.49638 27.1257i 0.281588 1.38969i
\(382\) 19.4731 1.11351i 0.996328 0.0569721i
\(383\) 21.7366 + 19.9497i 1.11069 + 1.01938i 0.999673 + 0.0255642i \(0.00813824\pi\)
0.111018 + 0.993818i \(0.464589\pi\)
\(384\) −4.74293 + 32.9878i −0.242036 + 1.68340i
\(385\) −1.81265 + 1.80173i −0.0923811 + 0.0918245i
\(386\) −0.529141 3.68026i −0.0269326 0.187320i
\(387\) −27.9756 + 40.9130i −1.42208 + 2.07972i
\(388\) −0.315302 + 0.809846i −0.0160070 + 0.0411137i
\(389\) −1.48736 1.92884i −0.0754121 0.0977961i 0.752685 0.658381i \(-0.228758\pi\)
−0.828097 + 0.560585i \(0.810576\pi\)
\(390\) −6.98900 21.5099i −0.353902 1.08920i
\(391\) 6.18472 10.2562i 0.312775 0.518678i
\(392\) −6.25350 16.0620i −0.315850 0.811253i
\(393\) 4.93471 + 1.14752i 0.248923 + 0.0578846i
\(394\) 10.7226 4.53141i 0.540197 0.228289i
\(395\) −9.59444 + 6.16597i −0.482749 + 0.310244i
\(396\) −1.79352 1.51908i −0.0901278 0.0763368i
\(397\) −29.9672 19.2587i −1.50401 0.966568i −0.994345 0.106194i \(-0.966134\pi\)
−0.509663 0.860374i \(-0.670230\pi\)
\(398\) −21.6202 3.74153i −1.08372 0.187546i
\(399\) −0.755916 + 8.80097i −0.0378431 + 0.440600i
\(400\) −0.369779 4.30526i −0.0184890 0.215263i
\(401\) −8.14019 + 1.40871i −0.406501 + 0.0703478i −0.370106 0.928990i \(-0.620679\pi\)
−0.0363957 + 0.999337i \(0.511588\pi\)
\(402\) −5.12084 2.16408i −0.255404 0.107935i
\(403\) −26.4131 19.1903i −1.31573 0.955936i
\(404\) 1.85650 + 1.04842i 0.0923646 + 0.0521607i
\(405\) 0.139145 4.87072i 0.00691418 0.242028i
\(406\) −2.32632 0.683068i −0.115453 0.0339001i
\(407\) −22.8718 13.4434i −1.13371 0.666366i
\(408\) 19.5352 5.73606i 0.967138 0.283977i
\(409\) −3.21702 12.2388i −0.159072 0.605171i −0.998130 0.0611295i \(-0.980530\pi\)
0.839058 0.544042i \(-0.183107\pi\)
\(410\) 1.73476 + 8.56138i 0.0856737 + 0.422816i
\(411\) 26.6526 50.5123i 1.31468 2.49159i
\(412\) −0.0636922 2.22952i −0.00313789 0.109841i
\(413\) −1.78271 + 6.78213i −0.0877214 + 0.333727i
\(414\) −24.8695 1.42209i −1.22227 0.0698918i
\(415\) −8.21385 8.45186i −0.403202 0.414885i
\(416\) 5.15512 + 2.53460i 0.252750 + 0.124269i
\(417\) 2.11966 + 4.64142i 0.103800 + 0.227291i
\(418\) 9.12155 19.0922i 0.446150 0.933829i
\(419\) −7.24447 + 15.8632i −0.353915 + 0.774967i 0.646017 + 0.763323i \(0.276434\pi\)
−0.999932 + 0.0116434i \(0.996294\pi\)
\(420\) 0.278368 0.227621i 0.0135830 0.0111067i
\(421\) −1.87506 3.55364i −0.0913850 0.173194i 0.834491 0.551022i \(-0.185762\pi\)
−0.925876 + 0.377828i \(0.876671\pi\)
\(422\) 30.1742 17.0402i 1.46886 0.829503i
\(423\) −2.49131 0.285852i −0.121132 0.0138986i
\(424\) 6.81353 + 0.781780i 0.330894 + 0.0379666i
\(425\) −2.48592 + 1.40387i −0.120585 + 0.0680975i
\(426\) −6.30475 11.9488i −0.305466 0.578922i
\(427\) −0.875283 + 0.715715i −0.0423579 + 0.0346359i
\(428\) 1.25886 2.75651i 0.0608491 0.133241i
\(429\) 43.2473 26.7476i 2.08800 1.29139i
\(430\) 7.54526 + 16.5218i 0.363865 + 0.796752i
\(431\) 32.0414 + 15.7537i 1.54338 + 0.758830i 0.996903 0.0786428i \(-0.0250587\pi\)
0.546479 + 0.837473i \(0.315968\pi\)
\(432\) −8.18440 8.42155i −0.393772 0.405182i
\(433\) 12.4354 + 0.711081i 0.597606 + 0.0341724i 0.353275 0.935520i \(-0.385068\pi\)
0.244331 + 0.969692i \(0.421432\pi\)
\(434\) 1.63103 6.20510i 0.0782922 0.297854i
\(435\) −0.161436 5.65099i −0.00774026 0.270944i
\(436\) −0.792942 + 1.50279i −0.0379750 + 0.0719707i
\(437\) −3.60302 17.7816i −0.172356 0.850610i
\(438\) −14.0537 53.4657i −0.671510 2.55469i
\(439\) 7.86639 2.30978i 0.375442 0.110240i −0.0885668 0.996070i \(-0.528229\pi\)
0.464009 + 0.885830i \(0.346410\pi\)
\(440\) 8.45533 2.85294i 0.403092 0.136008i
\(441\) 24.7425 + 7.26505i 1.17821 + 0.345955i
\(442\) 0.695655 24.3511i 0.0330889 1.15826i
\(443\) 4.05011 + 2.28720i 0.192426 + 0.108668i 0.584935 0.811080i \(-0.301120\pi\)
−0.392509 + 0.919748i \(0.628393\pi\)
\(444\) 3.01978 + 2.19400i 0.143312 + 0.104123i
\(445\) −9.16502 3.87317i −0.434464 0.183606i
\(446\) −0.512764 + 0.0887373i −0.0242801 + 0.00420183i
\(447\) 3.00624 + 35.0010i 0.142190 + 1.65549i
\(448\) 0.473293 5.51045i 0.0223610 0.260344i
\(449\) 36.2404 + 6.27165i 1.71029 + 0.295978i 0.939864 0.341550i \(-0.110952\pi\)
0.770428 + 0.637527i \(0.220043\pi\)
\(450\) 4.99532 + 3.21030i 0.235482 + 0.151335i
\(451\) −17.7722 + 8.35938i −0.836862 + 0.393628i
\(452\) −1.39368 + 0.895667i −0.0655534 + 0.0421286i
\(453\) −20.2948 + 8.57667i −0.953534 + 0.402967i
\(454\) 26.1390 + 6.07835i 1.22676 + 0.285271i
\(455\) 1.61721 + 4.15376i 0.0758158 + 0.194731i
\(456\) 15.9270 26.4120i 0.745850 1.23685i
\(457\) 2.24594 + 6.91230i 0.105061 + 0.323344i 0.989745 0.142848i \(-0.0456259\pi\)
−0.884684 + 0.466191i \(0.845626\pi\)
\(458\) 13.0958 + 16.9829i 0.611927 + 0.793561i
\(459\) −2.81495 + 7.23014i −0.131391 + 0.337474i
\(460\) −0.416871 + 0.609654i −0.0194367 + 0.0284253i
\(461\) −3.36600 23.4111i −0.156770 1.09036i −0.904535 0.426399i \(-0.859782\pi\)
0.747765 0.663964i \(-0.231127\pi\)
\(462\) 7.98154 + 6.01262i 0.371335 + 0.279733i
\(463\) 5.59622 38.9226i 0.260078 1.80889i −0.272118 0.962264i \(-0.587724\pi\)
0.532196 0.846621i \(-0.321367\pi\)
\(464\) 6.79014 + 6.23194i 0.315224 + 0.289310i
\(465\) 14.9356 0.854048i 0.692621 0.0396055i
\(466\) 0.695879 3.43430i 0.0322360 0.159091i
\(467\) −2.77063 2.26553i −0.128209 0.104836i 0.566734 0.823901i \(-0.308207\pi\)
−0.694943 + 0.719065i \(0.744570\pi\)
\(468\) −3.67869 + 1.80869i −0.170048 + 0.0836068i
\(469\) 1.03195 + 0.368199i 0.0476510 + 0.0170018i
\(470\) −0.561167 + 0.727735i −0.0258847 + 0.0335679i
\(471\) 4.36743 + 7.24257i 0.201240 + 0.333720i
\(472\) 16.0341 18.5044i 0.738031 0.851733i
\(473\) −32.0561 + 25.2995i −1.47394 + 1.16327i
\(474\) 29.2018 + 33.7007i 1.34128 + 1.54792i
\(475\) −1.33645 + 4.11316i −0.0613204 + 0.188725i
\(476\) 0.364789 0.130156i 0.0167201 0.00596571i
\(477\) −7.15090 + 7.35811i −0.327417 + 0.336905i
\(478\) 3.15307 2.89386i 0.144218 0.132362i
\(479\) 1.40012 + 2.04761i 0.0639732 + 0.0935579i 0.856132 0.516757i \(-0.172861\pi\)
−0.792159 + 0.610315i \(0.791043\pi\)
\(480\) −2.56381 + 0.596189i −0.117021 + 0.0272122i
\(481\) −37.4339 + 27.1973i −1.70684 + 1.24009i
\(482\) 2.14475 0.246087i 0.0976907 0.0112090i
\(483\) 8.56834 0.389873
\(484\) −1.03713 1.63545i −0.0471422 0.0743386i
\(485\) 4.93637 0.224149
\(486\) −30.8762 + 3.54271i −1.40057 + 0.160701i
\(487\) −20.4217 + 14.8372i −0.925394 + 0.672338i −0.944861 0.327472i \(-0.893803\pi\)
0.0194666 + 0.999811i \(0.493803\pi\)
\(488\) 3.84517 0.894155i 0.174063 0.0404765i
\(489\) 9.84434 + 14.3969i 0.445176 + 0.651050i
\(490\) 6.96225 6.38989i 0.314522 0.288666i
\(491\) 11.0322 11.3519i 0.497878 0.512305i −0.420885 0.907114i \(-0.638280\pi\)
0.918763 + 0.394809i \(0.129189\pi\)
\(492\) 2.60256 0.928591i 0.117332 0.0418641i
\(493\) 1.88169 5.79124i 0.0847469 0.260824i
\(494\) −24.1667 27.8899i −1.08731 1.25483i
\(495\) −4.34459 + 12.6238i −0.195275 + 0.567398i
\(496\) −15.9714 + 18.4319i −0.717135 + 0.827618i
\(497\) 1.37499 + 2.28017i 0.0616768 + 0.102280i
\(498\) −28.1392 + 36.4916i −1.26095 + 1.63523i
\(499\) −4.78381 1.70686i −0.214153 0.0764095i 0.226794 0.973943i \(-0.427175\pi\)
−0.440947 + 0.897533i \(0.645357\pi\)
\(500\) 0.157989 0.0776780i 0.00706549 0.00347387i
\(501\) 5.85053 + 4.78395i 0.261382 + 0.213731i
\(502\) 1.66130 8.19882i 0.0741472 0.365931i
\(503\) 24.9205 1.42501i 1.11115 0.0635380i 0.508143 0.861273i \(-0.330332\pi\)
0.603009 + 0.797735i \(0.293968\pi\)
\(504\) 6.14876 + 5.64328i 0.273888 + 0.251372i
\(505\) 1.72351 11.9872i 0.0766950 0.533425i
\(506\) −19.2086 7.23062i −0.853925 0.321440i
\(507\) −7.71783 53.6787i −0.342761 2.38395i
\(508\) −1.03764 + 1.51750i −0.0460379 + 0.0673282i
\(509\) 1.96523 5.04766i 0.0871074 0.223734i −0.881571 0.472051i \(-0.843514\pi\)
0.968679 + 0.248317i \(0.0798775\pi\)
\(510\) 6.81640 + 8.83967i 0.301835 + 0.391427i
\(511\) 3.36683 + 10.3620i 0.148940 + 0.458389i
\(512\) −9.79162 + 16.2376i −0.432732 + 0.717606i
\(513\) 4.26426 + 10.9527i 0.188272 + 0.483572i
\(514\) 20.3810 + 4.73939i 0.898966 + 0.209046i
\(515\) −11.6698 + 4.93171i −0.514234 + 0.217317i
\(516\) 4.83347 3.10629i 0.212782 0.136747i
\(517\) −1.88899 0.837099i −0.0830775 0.0368156i
\(518\) −7.64940 4.91597i −0.336096 0.215995i
\(519\) −62.9437 10.8928i −2.76292 0.478142i
\(520\) 1.33186 15.5066i 0.0584060 0.680008i
\(521\) 2.76159 + 32.1526i 0.120987 + 1.40863i 0.765205 + 0.643787i \(0.222638\pi\)
−0.644217 + 0.764843i \(0.722817\pi\)
\(522\) −12.4795 + 2.15966i −0.546213 + 0.0945258i
\(523\) −34.0348 14.3832i −1.48824 0.628935i −0.514683 0.857381i \(-0.672090\pi\)
−0.973557 + 0.228445i \(0.926636\pi\)
\(524\) −0.272247 0.197799i −0.0118932 0.00864089i
\(525\) −1.77848 1.00435i −0.0776192 0.0438336i
\(526\) −1.11483 + 39.0242i −0.0486090 + 1.70154i
\(527\) 15.4609 + 4.53974i 0.673489 + 0.197754i
\(528\) −17.1430 33.8978i −0.746053 1.47521i
\(529\) 5.18259 1.52174i 0.225330 0.0661628i
\(530\) 0.955888 + 3.63658i 0.0415211 + 0.157963i
\(531\) 7.27461 + 35.9016i 0.315691 + 1.55800i
\(532\) 0.273806 0.518920i 0.0118710 0.0224980i
\(533\) 0.978158 + 34.2400i 0.0423687 + 1.48310i
\(534\) −9.88987 + 37.6250i −0.427977 + 1.62819i
\(535\) −17.1847 0.982659i −0.742961 0.0424840i
\(536\) −2.66622 2.74348i −0.115163 0.118500i
\(537\) 51.6147 + 25.3772i 2.22734 + 1.09511i
\(538\) −5.43628 11.9038i −0.234375 0.513209i
\(539\) 17.6726 + 11.7945i 0.761215 + 0.508024i
\(540\) 0.198757 0.435216i 0.00855312 0.0187287i
\(541\) −17.4196 + 14.2439i −0.748926 + 0.612394i −0.928492 0.371352i \(-0.878894\pi\)
0.179566 + 0.983746i \(0.442531\pi\)
\(542\) −12.2913 23.2946i −0.527957 1.00059i
\(543\) −31.0648 + 17.5431i −1.33312 + 0.752847i
\(544\) −2.81673 0.323189i −0.120766 0.0138566i
\(545\) 9.58853 + 1.10018i 0.410727 + 0.0471266i
\(546\) 15.1757 8.57010i 0.649459 0.366767i
\(547\) 14.8925 + 28.2244i 0.636756 + 1.20679i 0.965014 + 0.262199i \(0.0844477\pi\)
−0.328258 + 0.944588i \(0.606461\pi\)
\(548\) −2.93671 + 2.40134i −0.125450 + 0.102580i
\(549\) −2.45351 + 5.37244i −0.104713 + 0.229290i
\(550\) 3.13946 + 3.75238i 0.133867 + 0.160002i
\(551\) −3.83195 8.39081i −0.163247 0.357460i
\(552\) −26.8476 13.2001i −1.14271 0.561832i
\(553\) −6.12506 6.30254i −0.260464 0.268011i
\(554\) −28.0524 1.60409i −1.19183 0.0681514i
\(555\) 5.38992 20.5054i 0.228789 0.870405i
\(556\) −0.00967813 0.338779i −0.000410444 0.0143674i
\(557\) −14.5064 + 27.4927i −0.614657 + 1.16490i 0.358233 + 0.933632i \(0.383380\pi\)
−0.972889 + 0.231272i \(0.925711\pi\)
\(558\) −6.65568 32.8471i −0.281757 1.39053i
\(559\) 18.1063 + 68.8834i 0.765814 + 2.91346i
\(560\) 3.19493 0.938116i 0.135010 0.0396426i
\(561\) −15.6671 + 19.6065i −0.661467 + 0.827785i
\(562\) −5.53218 1.62440i −0.233361 0.0685210i
\(563\) −0.225722 + 7.90131i −0.00951306 + 0.333001i 0.980871 + 0.194657i \(0.0623595\pi\)
−0.990384 + 0.138343i \(0.955822\pi\)
\(564\) 0.253124 + 0.142946i 0.0106585 + 0.00601911i
\(565\) 7.61296 + 5.53114i 0.320279 + 0.232697i
\(566\) 9.59327 + 4.05415i 0.403235 + 0.170409i
\(567\) 3.69987 0.640287i 0.155380 0.0268895i
\(568\) −0.795584 9.26282i −0.0333820 0.388659i
\(569\) −1.78454 + 20.7771i −0.0748120 + 0.871020i 0.858701 + 0.512477i \(0.171272\pi\)
−0.933513 + 0.358543i \(0.883274\pi\)
\(570\) 16.6621 + 2.88349i 0.697898 + 0.120776i
\(571\) −14.5542 9.35343i −0.609075 0.391429i 0.199435 0.979911i \(-0.436089\pi\)
−0.808510 + 0.588482i \(0.799726\pi\)
\(572\) −3.33756 + 0.518284i −0.139550 + 0.0216705i
\(573\) −29.4828 + 18.9474i −1.23166 + 0.791541i
\(574\) −6.20044 + 2.62033i −0.258802 + 0.109370i
\(575\) 4.08605 + 0.950170i 0.170400 + 0.0396248i
\(576\) −10.4818 26.9224i −0.436743 1.12177i
\(577\) 19.2256 31.8821i 0.800374 1.32727i −0.141035 0.990005i \(-0.545043\pi\)
0.941409 0.337266i \(-0.109502\pi\)
\(578\) −4.03392 12.4151i −0.167789 0.516402i
\(579\) 4.07954 + 5.29044i 0.169540 + 0.219863i
\(580\) −0.136234 + 0.349915i −0.00565683 + 0.0145294i
\(581\) 5.12622 7.49686i 0.212671 0.311022i
\(582\) −2.74680 19.1044i −0.113858 0.791902i
\(583\) −7.43210 + 4.02913i −0.307806 + 0.166869i
\(584\) 5.41392 37.6546i 0.224030 1.55816i
\(585\) 17.1546 + 15.7444i 0.709257 + 0.650950i
\(586\) 18.8346 1.07700i 0.778050 0.0444905i
\(587\) 6.21103 30.6526i 0.256357 1.26517i −0.620419 0.784270i \(-0.713038\pi\)
0.876776 0.480899i \(-0.159690\pi\)
\(588\) −2.31417 1.89229i −0.0954348 0.0780367i
\(589\) 21.9055 10.7702i 0.902599 0.443778i
\(590\) 12.6434 + 4.51115i 0.520520 + 0.185721i
\(591\) −12.7724 + 16.5635i −0.525386 + 0.681332i
\(592\) 17.8493 + 29.5998i 0.733602 + 1.21654i
\(593\) −13.3453 + 15.4013i −0.548027 + 0.632457i −0.960422 0.278548i \(-0.910147\pi\)
0.412395 + 0.911005i \(0.364692\pi\)
\(594\) 13.0603 + 2.49363i 0.535871 + 0.102315i
\(595\) −1.44069 1.66264i −0.0590624 0.0681616i
\(596\) 0.721054 2.21918i 0.0295355 0.0909010i
\(597\) 37.1318 13.2486i 1.51970 0.542229i
\(598\) −24.9478 + 25.6707i −1.02019 + 1.04975i
\(599\) 4.06294 3.72893i 0.166007 0.152360i −0.588866 0.808230i \(-0.700426\pi\)
0.754873 + 0.655871i \(0.227698\pi\)
\(600\) 4.02532 + 5.88685i 0.164333 + 0.240330i
\(601\) −41.4866 + 9.64731i −1.69228 + 0.393522i −0.958325 0.285681i \(-0.907780\pi\)
−0.733951 + 0.679203i \(0.762326\pi\)
\(602\) −11.3233 + 8.22687i −0.461504 + 0.335302i
\(603\) 5.68613 0.652422i 0.231557 0.0265687i
\(604\) 1.46344 0.0595467
\(605\) −6.51930 + 8.85995i −0.265047 + 0.360208i
\(606\) −47.3512 −1.92351
\(607\) 46.2390 5.30544i 1.87678 0.215341i 0.900961 0.433900i \(-0.142863\pi\)
0.975824 + 0.218559i \(0.0701356\pi\)
\(608\) −3.47469 + 2.52451i −0.140917 + 0.102382i
\(609\) 4.24317 0.986706i 0.171942 0.0399834i
\(610\) 1.22168 + 1.78666i 0.0494645 + 0.0723396i
\(611\) −2.65489 + 2.43664i −0.107405 + 0.0985758i
\(612\) 1.41005 1.45090i 0.0569978 0.0586494i
\(613\) −18.0399 + 6.43661i −0.728624 + 0.259972i −0.674203 0.738546i \(-0.735513\pi\)
−0.0544203 + 0.998518i \(0.517331\pi\)
\(614\) −4.58738 + 14.1185i −0.185132 + 0.569777i
\(615\) −10.2785 11.8620i −0.414468 0.478322i
\(616\) 3.44860 + 5.94924i 0.138948 + 0.239702i
\(617\) 25.2363 29.1242i 1.01597 1.17250i 0.0310476 0.999518i \(-0.490116\pi\)
0.984926 0.172978i \(-0.0553389\pi\)
\(618\) 25.5799 + 42.4195i 1.02897 + 1.70636i
\(619\) −25.9254 + 33.6207i −1.04203 + 1.35133i −0.107995 + 0.994151i \(0.534443\pi\)
−0.934036 + 0.357179i \(0.883739\pi\)
\(620\) −0.935877 0.333920i −0.0375857 0.0134106i
\(621\) 10.2311 5.03029i 0.410560 0.201859i
\(622\) 30.6757 + 25.0834i 1.22998 + 1.00575i
\(623\) 1.52264 7.51454i 0.0610034 0.301064i
\(624\) −66.1431 + 3.78220i −2.64784 + 0.151409i
\(625\) −0.736741 0.676175i −0.0294696 0.0270470i
\(626\) −5.55714 + 38.6508i −0.222108 + 1.54479i
\(627\) 2.59763 + 37.9300i 0.103739 + 1.51478i
\(628\) −0.0799467 0.556041i −0.00319022 0.0221885i
\(629\) 12.8902 18.8513i 0.513965 0.751650i
\(630\) −1.66011 + 4.26396i −0.0661403 + 0.169880i
\(631\) −11.1637 14.4773i −0.444418 0.576332i 0.515402 0.856949i \(-0.327643\pi\)
−0.959820 + 0.280617i \(0.909461\pi\)
\(632\) 9.48249 + 29.1841i 0.377193 + 1.16088i
\(633\) −32.1535 + 53.3205i −1.27799 + 2.11930i
\(634\) −1.53727 3.94844i −0.0610527 0.156813i
\(635\) 10.1707 + 2.36509i 0.403610 + 0.0938555i
\(636\) 1.09562 0.463012i 0.0434440 0.0183596i
\(637\) 31.1739 20.0343i 1.23516 0.793786i
\(638\) −10.3450 1.36870i −0.409563 0.0541874i
\(639\) 11.7009 + 7.51974i 0.462882 + 0.297476i
\(640\) −12.3895 2.14409i −0.489739 0.0847527i
\(641\) 2.97589 34.6477i 0.117541 1.36850i −0.665438 0.746453i \(-0.731755\pi\)
0.782979 0.622049i \(-0.213699\pi\)
\(642\) 5.75926 + 67.0539i 0.227300 + 2.64640i
\(643\) 8.74412 1.51323i 0.344834 0.0596759i 0.00452576 0.999990i \(-0.498559\pi\)
0.340309 + 0.940314i \(0.389468\pi\)
\(644\) −0.524231 0.221542i −0.0206576 0.00872998i
\(645\) −26.4027 19.1827i −1.03961 0.755317i
\(646\) 15.8596 + 8.95632i 0.623987 + 0.352382i
\(647\) 0.0276976 0.969543i 0.00108891 0.0381167i −0.998866 0.0476092i \(-0.984840\pi\)
0.999955 + 0.00949253i \(0.00302161\pi\)
\(648\) −12.5794 3.69364i −0.494164 0.145100i
\(649\) −3.10268 + 30.0220i −0.121791 + 1.17846i
\(650\) 8.18731 2.40401i 0.321133 0.0942931i
\(651\) 2.93064 + 11.1493i 0.114861 + 0.436975i
\(652\) −0.230056 1.13537i −0.00900968 0.0444645i
\(653\) 17.5524 33.2655i 0.686879 1.30178i −0.255363 0.966845i \(-0.582195\pi\)
0.942241 0.334934i \(-0.108714\pi\)
\(654\) −1.07760 37.7210i −0.0421376 1.47501i
\(655\) −0.485926 + 1.84866i −0.0189867 + 0.0722330i
\(656\) 25.5466 + 1.46081i 0.997426 + 0.0570349i
\(657\) 39.6652 + 40.8146i 1.54749 + 1.59233i
\(658\) −0.635493 0.312451i −0.0247741 0.0121806i
\(659\) −2.29205 5.01888i −0.0892854 0.195508i 0.859721 0.510763i \(-0.170637\pi\)
−0.949007 + 0.315255i \(0.897910\pi\)
\(660\) 1.03358 1.15192i 0.0402319 0.0448386i
\(661\) 19.1662 41.9681i 0.745479 1.63237i −0.0288466 0.999584i \(-0.509183\pi\)
0.774326 0.632787i \(-0.218089\pi\)
\(662\) −21.8874 + 17.8972i −0.850678 + 0.695596i
\(663\) 20.4269 + 38.7132i 0.793314 + 1.50350i
\(664\) −27.6116 + 15.5930i −1.07154 + 0.605125i
\(665\) −3.31095 0.379897i −0.128393 0.0147318i
\(666\) −47.1887 5.41440i −1.82853 0.209804i
\(667\) −7.79111 + 4.39984i −0.301673 + 0.170363i
\(668\) −0.234256 0.443964i −0.00906364 0.0171775i
\(669\) 0.723843 0.591884i 0.0279854 0.0228835i
\(670\) 0.871308 1.90790i 0.0336616 0.0737086i
\(671\) −3.24991 + 3.62203i −0.125461 + 0.139827i
\(672\) −0.842613 1.84506i −0.0325045 0.0711749i
\(673\) 21.8073 + 10.7219i 0.840608 + 0.413299i 0.810140 0.586237i \(-0.199391\pi\)
0.0304682 + 0.999536i \(0.490300\pi\)
\(674\) 1.21473 + 1.24993i 0.0467897 + 0.0481455i
\(675\) −2.71324 0.155149i −0.104433 0.00597168i
\(676\) −0.915715 + 3.48374i −0.0352198 + 0.133990i
\(677\) −0.122009 4.27089i −0.00468920 0.164144i −0.998562 0.0536121i \(-0.982927\pi\)
0.993873 0.110531i \(-0.0352553\pi\)
\(678\) 17.1700 32.5408i 0.659411 1.24972i
\(679\) 0.755423 + 3.72816i 0.0289905 + 0.143074i
\(680\) 1.95277 + 7.42910i 0.0748852 + 0.284893i
\(681\) −46.2663 + 13.5850i −1.77293 + 0.520578i
\(682\) 2.83870 27.4677i 0.108700 1.05179i
\(683\) −15.1987 4.46273i −0.581560 0.170762i −0.0222967 0.999751i \(-0.507098\pi\)
−0.559264 + 0.828990i \(0.688916\pi\)
\(684\) 0.0875208 3.06363i 0.00334644 0.117141i
\(685\) 18.7625 + 10.5957i 0.716878 + 0.404840i
\(686\) 12.3288 + 8.95741i 0.470717 + 0.341996i
\(687\) −35.4942 15.0000i −1.35419 0.572285i
\(688\) 52.4258 9.07264i 1.99871 0.345891i
\(689\) 1.26176 + 14.6904i 0.0480693 + 0.559661i
\(690\) 1.40364 16.3422i 0.0534355 0.622138i
\(691\) −36.2057 6.26565i −1.37733 0.238356i −0.566705 0.823921i \(-0.691782\pi\)
−0.810626 + 0.585565i \(0.800873\pi\)
\(692\) 3.56940 + 2.29391i 0.135688 + 0.0872015i
\(693\) −10.1989 1.34937i −0.387424 0.0512583i
\(694\) 19.1769 12.3242i 0.727944 0.467821i
\(695\) −1.77325 + 0.749380i −0.0672631 + 0.0284256i
\(696\) −14.8154 3.44517i −0.561576 0.130589i
\(697\) −6.13365 15.7542i −0.232329 0.596731i
\(698\) −14.3672 + 23.8253i −0.543806 + 0.901801i
\(699\) 1.94561 + 5.98798i 0.0735898 + 0.226486i
\(700\) 0.0828432 + 0.107433i 0.00313118 + 0.00406058i
\(701\) −18.5137 + 47.5520i −0.699253 + 1.79602i −0.100723 + 0.994914i \(0.532116\pi\)
−0.598529 + 0.801101i \(0.704248\pi\)
\(702\) 13.0893 19.1425i 0.494025 0.722488i
\(703\) −4.92336 34.2427i −0.185688 1.29149i
\(704\) −1.62643 23.7487i −0.0612982 0.895062i
\(705\) 0.234991 1.63440i 0.00885026 0.0615549i
\(706\) 1.72286 + 1.58122i 0.0648405 + 0.0595101i
\(707\) 9.31703 0.532767i 0.350403 0.0200368i
\(708\) 0.843302 4.16186i 0.0316932 0.156412i
\(709\) −11.3101 9.24819i −0.424758 0.347323i 0.396346 0.918101i \(-0.370278\pi\)
−0.821104 + 0.570778i \(0.806642\pi\)
\(710\) 4.57417 2.24897i 0.171665 0.0844022i
\(711\) −43.2388 15.4276i −1.62158 0.578579i
\(712\) −16.3476 + 21.1999i −0.612652 + 0.794501i
\(713\) −12.2270 20.2763i −0.457906 0.759352i
\(714\) −5.63297 + 6.50079i −0.210809 + 0.243286i
\(715\) 9.62135 + 16.5980i 0.359818 + 0.620729i
\(716\) −2.50176 2.88718i −0.0934951 0.107899i
\(717\) −2.37629 + 7.31348i −0.0887443 + 0.273127i
\(718\) −7.93568 + 2.83145i −0.296157 + 0.105669i
\(719\) 9.59301 9.87098i 0.357759 0.368125i −0.514229 0.857653i \(-0.671922\pi\)
0.871988 + 0.489528i \(0.162831\pi\)
\(720\) 12.8148 11.7613i 0.477579 0.438318i
\(721\) −5.51049 8.05884i −0.205222 0.300127i
\(722\) −0.425028 + 0.0988359i −0.0158179 + 0.00367829i
\(723\) −3.13815 + 2.28000i −0.116709 + 0.0847940i
\(724\) 2.35421 0.270121i 0.0874936 0.0100390i
\(725\) 2.13289 0.0792136
\(726\) 37.9167 + 20.3005i 1.40722 + 0.753421i
\(727\) −27.3602 −1.01474 −0.507368 0.861730i \(-0.669381\pi\)
−0.507368 + 0.861730i \(0.669381\pi\)
\(728\) 11.9150 1.36712i 0.441601 0.0506690i
\(729\) 33.3510 24.2309i 1.23522 0.897442i
\(730\) 20.3148 4.72401i 0.751886 0.174844i
\(731\) −19.8415 29.0172i −0.733863 1.07324i
\(732\) 0.504422 0.462955i 0.0186440 0.0171113i
\(733\) 15.4993 15.9484i 0.572480 0.589068i −0.367616 0.929978i \(-0.619826\pi\)
0.940096 + 0.340909i \(0.110735\pi\)
\(734\) 11.8976 4.24507i 0.439150 0.156688i
\(735\) −5.24705 + 16.1488i −0.193541 + 0.595656i
\(736\) 2.72820 + 3.14851i 0.100563 + 0.116056i
\(737\) 4.63208 + 0.884412i 0.170625 + 0.0325777i
\(738\) −23.0267 + 26.5742i −0.847624 + 0.978210i
\(739\) 7.03710 + 11.6697i 0.258864 + 0.429278i 0.958446 0.285275i \(-0.0920848\pi\)
−0.699582 + 0.714553i \(0.746630\pi\)
\(740\) −0.859953 + 1.11521i −0.0316125 + 0.0409958i
\(741\) 62.4521 + 22.2828i 2.29423 + 0.818581i
\(742\) −2.60022 + 1.27844i −0.0954569 + 0.0469330i
\(743\) −1.55829 1.27421i −0.0571681 0.0467461i 0.603997 0.796987i \(-0.293574\pi\)
−0.661165 + 0.750241i \(0.729938\pi\)
\(744\) 7.99349 39.4494i 0.293056 1.44629i
\(745\) −13.2323 + 0.756649i −0.484793 + 0.0277215i
\(746\) −32.8969 30.1925i −1.20444 1.10543i
\(747\) 6.75157 46.9582i 0.247027 1.71811i
\(748\) 1.46550 0.794482i 0.0535838 0.0290491i
\(749\) −1.88767 13.1290i −0.0689739 0.479724i
\(750\) −2.20693 + 3.22753i −0.0805856 + 0.117853i
\(751\) 5.80020 14.8977i 0.211652 0.543624i −0.785515 0.618843i \(-0.787602\pi\)
0.997167 + 0.0752185i \(0.0239654\pi\)
\(752\) 1.64382 + 2.13174i 0.0599438 + 0.0777365i
\(753\) 4.64483 + 14.2953i 0.169267 + 0.520950i
\(754\) −9.39836 + 15.5854i −0.342268 + 0.567588i
\(755\) −3.01586 7.74616i −0.109758 0.281912i
\(756\) 0.359110 + 0.0835075i 0.0130607 + 0.00303714i
\(757\) 31.1550 13.1662i 1.13235 0.478535i 0.259120 0.965845i \(-0.416567\pi\)
0.873229 + 0.487311i \(0.162022\pi\)
\(758\) 12.8860 8.28134i 0.468041 0.300792i
\(759\) 36.4414 5.65892i 1.32274 0.205406i
\(760\) 9.78911 + 6.29108i 0.355088 + 0.228201i
\(761\) −7.46062 1.29111i −0.270447 0.0468027i 0.0336853 0.999432i \(-0.489276\pi\)
−0.304132 + 0.952630i \(0.598367\pi\)
\(762\) 3.49381 40.6777i 0.126568 1.47360i
\(763\) 0.636448 + 7.41003i 0.0230410 + 0.268261i
\(764\) 2.29373 0.396946i 0.0829843 0.0143610i
\(765\) −10.5856 4.47352i −0.382724 0.161740i
\(766\) 35.2103 + 25.5818i 1.27220 + 0.924308i
\(767\) 45.8359 + 25.8847i 1.65504 + 0.934644i
\(768\) −0.317399 + 11.1104i −0.0114532 + 0.400913i
\(769\) −35.4835 10.4189i −1.27957 0.375715i −0.429824 0.902913i \(-0.641424\pi\)
−0.849742 + 0.527198i \(0.823243\pi\)
\(770\) −2.35352 + 2.94529i −0.0848151 + 0.106141i
\(771\) −36.0746 + 10.5924i −1.29919 + 0.381478i
\(772\) −0.112807 0.429162i −0.00406001 0.0154459i
\(773\) 7.13097 + 35.1927i 0.256483 + 1.26579i 0.876575 + 0.481265i \(0.159822\pi\)
−0.620092 + 0.784529i \(0.712905\pi\)
\(774\) −34.1194 + 64.6634i −1.22640 + 2.32428i
\(775\) 0.161174 + 5.64184i 0.00578955 + 0.202661i
\(776\) 3.37646 12.8454i 0.121208 0.461123i
\(777\) 16.3114 + 0.932718i 0.585167 + 0.0334611i
\(778\) −2.50411 2.57667i −0.0897767 0.0923780i
\(779\) −22.9827 11.2998i −0.823441 0.404858i
\(780\) −1.12130 2.45531i −0.0401490 0.0879141i
\(781\) 7.35381 + 8.78951i 0.263140 + 0.314513i
\(782\) 7.33927 16.0708i 0.262452 0.574689i
\(783\) 4.48731 3.66926i 0.160364 0.131129i
\(784\) −12.9182 24.4827i −0.461365 0.874384i
\(785\) −2.77843 + 1.56905i −0.0991665 + 0.0560019i
\(786\) 7.42492 + 0.851930i 0.264838 + 0.0303873i
\(787\) 19.0501 + 2.18579i 0.679062 + 0.0779151i 0.446659 0.894704i \(-0.352614\pi\)
0.232403 + 0.972619i \(0.425341\pi\)
\(788\) 1.20971 0.683154i 0.0430941 0.0243364i
\(789\) −32.7354 62.0405i −1.16541 2.20870i
\(790\) −13.0241 + 10.6498i −0.463377 + 0.378901i
\(791\) −3.01232 + 6.59607i −0.107106 + 0.234529i
\(792\) 29.8779 + 19.9401i 1.06167 + 0.708541i
\(793\) 3.52575 + 7.72031i 0.125203 + 0.274156i
\(794\) −47.1562 23.1851i −1.67351 0.822810i
\(795\) −4.70861 4.84505i −0.166997 0.171836i
\(796\) −2.61436 0.149495i −0.0926637 0.00529870i
\(797\) 13.0636 49.6989i 0.462735 1.76043i −0.169380 0.985551i \(-0.554176\pi\)
0.632114 0.774875i \(-0.282187\pi\)
\(798\) 0.372100 + 13.0252i 0.0131722 + 0.461087i
\(799\) 0.829986 1.57300i 0.0293628 0.0556487i
\(800\) −0.197218 0.973310i −0.00697271 0.0344117i
\(801\) −10.1818 38.7355i −0.359756 1.36865i
\(802\) −11.6928 + 3.43332i −0.412887 + 0.121235i
\(803\) 21.1628 + 41.8464i 0.746818 + 1.47673i
\(804\) −0.636608 0.186925i −0.0224514 0.00659234i
\(805\) −0.0923127 + 3.23137i −0.00325359 + 0.113891i
\(806\) −41.9362 23.6824i −1.47714 0.834178i
\(807\) 19.0229 + 13.8209i 0.669637 + 0.486520i
\(808\) −30.0143 12.6841i −1.05590 0.446226i
\(809\) −39.2756 + 6.79690i −1.38086 + 0.238966i −0.812089 0.583533i \(-0.801670\pi\)
−0.568766 + 0.822500i \(0.692579\pi\)
\(810\) −0.615108 7.16158i −0.0216127 0.251632i
\(811\) 3.29124 38.3192i 0.115571 1.34557i −0.677087 0.735903i \(-0.736758\pi\)
0.792658 0.609666i \(-0.208697\pi\)
\(812\) −0.285119 0.0493418i −0.0100057 0.00173156i
\(813\) 39.8122 + 25.5858i 1.39628 + 0.897332i
\(814\) −35.7799 15.8558i −1.25408 0.555744i
\(815\) −5.53554 + 3.55747i −0.193901 + 0.124613i
\(816\) 30.1192 12.7285i 1.05438 0.445586i
\(817\) −51.8670 12.0611i −1.81460 0.421966i
\(818\) −6.77265 17.3954i −0.236800 0.608216i
\(819\) −9.26562 + 15.3653i −0.323767 + 0.536907i
\(820\) 0.322159 + 0.991504i 0.0112503 + 0.0346248i
\(821\) 26.6720 + 34.5889i 0.930861 + 1.20716i 0.978070 + 0.208277i \(0.0667855\pi\)
−0.0472091 + 0.998885i \(0.515033\pi\)
\(822\) 30.5663 78.5090i 1.06612 2.73832i
\(823\) 26.8461 39.2611i 0.935795 1.36856i 0.00619685 0.999981i \(-0.498027\pi\)
0.929598 0.368575i \(-0.120154\pi\)
\(824\) 4.85114 + 33.7404i 0.168997 + 1.17540i
\(825\) −8.22724 3.09695i −0.286436 0.107822i
\(826\) −1.47217 + 10.2392i −0.0512234 + 0.356267i
\(827\) 40.1856 + 36.8820i 1.39739 + 1.28251i 0.913178 + 0.407561i \(0.133621\pi\)
0.484211 + 0.874951i \(0.339107\pi\)
\(828\) −2.96807 + 0.169720i −0.103148 + 0.00589819i
\(829\) 0.949560 4.68626i 0.0329796 0.162761i −0.960208 0.279285i \(-0.909903\pi\)
0.993188 + 0.116524i \(0.0371753\pi\)
\(830\) −13.4589 11.0053i −0.467164 0.381998i
\(831\) 45.3067 22.2758i 1.57167 0.772739i
\(832\) −39.1024 13.9517i −1.35563 0.483688i
\(833\) −11.1683 + 14.4833i −0.386959 + 0.501817i
\(834\) 3.88690 + 6.44570i 0.134592 + 0.223196i
\(835\) −1.86720 + 2.15486i −0.0646171 + 0.0745721i
\(836\) 0.821785 2.38781i 0.0284220 0.0825843i
\(837\) 10.0449 + 11.5924i 0.347201 + 0.400692i
\(838\) −7.94953 + 24.4661i −0.274612 + 0.845168i
\(839\) 34.1716 12.1924i 1.17973 0.420928i 0.327886 0.944717i \(-0.393664\pi\)
0.851848 + 0.523789i \(0.175482\pi\)
\(840\) −3.83000 + 3.94097i −0.132147 + 0.135976i
\(841\) 18.0139 16.5330i 0.621169 0.570104i
\(842\) −3.34552 4.89267i −0.115294 0.168612i
\(843\) 10.0906 2.34647i 0.347539 0.0808168i
\(844\) 3.34588 2.43092i 0.115170 0.0836757i
\(845\) 20.3269 2.33230i 0.699267 0.0802334i
\(846\) −3.69916 −0.127180
\(847\) −7.68908 3.56780i −0.264200 0.122591i
\(848\) 11.0144 0.378236
\(849\) −18.5912 + 2.13314i −0.638048 + 0.0732092i
\(850\) −3.40713 + 2.47543i −0.116864 + 0.0849064i
\(851\) −32.6848 + 7.60052i −1.12042 + 0.260543i
\(852\) −0.910097 1.33097i −0.0311794 0.0455984i
\(853\) 14.5972 13.3972i 0.499799 0.458711i −0.386189 0.922420i \(-0.626209\pi\)
0.885988 + 0.463709i \(0.153482\pi\)
\(854\) −1.16240 + 1.19608i −0.0397766 + 0.0409291i
\(855\) −16.3965 + 5.85025i −0.560747 + 0.200074i
\(856\) −14.3114 + 44.0459i −0.489153 + 1.50546i
\(857\) −20.6368 23.8161i −0.704939 0.813543i 0.284472 0.958684i \(-0.408182\pi\)
−0.989411 + 0.145142i \(0.953636\pi\)
\(858\) 58.8825 46.4716i 2.01022 1.58651i
\(859\) −29.1537 + 33.6452i −0.994712 + 1.14796i −0.00572068 + 0.999984i \(0.501821\pi\)
−0.988991 + 0.147975i \(0.952724\pi\)
\(860\) 1.11939 + 1.85631i 0.0381710 + 0.0632996i
\(861\) 7.38575 9.57801i 0.251706 0.326418i
\(862\) 49.6067 + 17.6996i 1.68961 + 0.602852i
\(863\) 45.2471 22.2465i 1.54023 0.757280i 0.543603 0.839343i \(-0.317060\pi\)
0.996627 + 0.0820625i \(0.0261507\pi\)
\(864\) −2.08933 1.70843i −0.0710804 0.0581221i
\(865\) 4.78613 23.6205i 0.162733 0.803121i
\(866\) 18.3440 1.04895i 0.623354 0.0356447i
\(867\) 17.2806 + 15.8600i 0.586880 + 0.538634i
\(868\) 0.108972 0.757915i 0.00369874 0.0257253i
\(869\) −30.2126 22.7596i −1.02489 0.772067i
\(870\) −1.18683 8.25455i −0.0402371 0.279855i
\(871\) 4.64237 6.78926i 0.157301 0.230045i
\(872\) 9.42140 24.1987i 0.319049 0.819471i
\(873\) 12.1339 + 15.7355i 0.410670 + 0.532567i
\(874\) −8.27039 25.4536i −0.279750 0.860982i
\(875\) 0.397931 0.659895i 0.0134525 0.0223085i
\(876\) −2.39368 6.14812i −0.0808750 0.207726i
\(877\) 15.9860 + 3.71738i 0.539809 + 0.125527i 0.487531 0.873105i \(-0.337897\pi\)
0.0522774 + 0.998633i \(0.483352\pi\)
\(878\) 11.1400 4.70782i 0.375958 0.158881i
\(879\) −28.5161 + 18.3262i −0.961825 + 0.618128i
\(880\) 12.9685 6.09991i 0.437169 0.205628i
\(881\) 34.4375 + 22.1316i 1.16023 + 0.745634i 0.971650 0.236424i \(-0.0759755\pi\)
0.188579 + 0.982058i \(0.439612\pi\)
\(882\) 37.4825 + 6.48660i 1.26210 + 0.218415i
\(883\) 3.84350 44.7490i 0.129344 1.50592i −0.587804 0.809004i \(-0.700007\pi\)
0.717148 0.696921i \(-0.245447\pi\)
\(884\) −0.248800 2.89672i −0.00836804 0.0974274i
\(885\) −23.7670 + 4.11305i −0.798921 + 0.138259i
\(886\) 6.32015 + 2.67092i 0.212330 + 0.0897313i
\(887\) 12.1793 + 8.84880i 0.408942 + 0.297114i 0.773173 0.634195i \(-0.218668\pi\)
−0.364231 + 0.931308i \(0.618668\pi\)
\(888\) −49.6723 28.0512i −1.66689 0.941337i
\(889\) −0.229777 + 8.04325i −0.00770648 + 0.269762i
\(890\) −14.0829 4.13511i −0.472060 0.138609i
\(891\) 15.3128 5.16672i 0.512997 0.173092i
\(892\) −0.0595901 + 0.0174972i −0.00199522 + 0.000585851i
\(893\) −0.684925 2.60573i −0.0229202 0.0871973i
\(894\) 10.2913 + 50.7895i 0.344192 + 1.69866i
\(895\) −10.1266 + 19.1920i −0.338494 + 0.641517i
\(896\) −0.276685 9.68522i −0.00924338 0.323561i
\(897\) 16.3510 62.2057i 0.545944 2.07699i
\(898\) 54.1660 + 3.09732i 1.80754 + 0.103359i
\(899\) −8.38996 8.63307i −0.279821 0.287929i
\(900\) 0.635959 + 0.312680i 0.0211986 + 0.0104227i
\(901\) −3.02304 6.61954i −0.100712 0.220529i
\(902\) −24.6401 + 15.2394i −0.820425 + 0.507416i
\(903\) 10.4471 22.8760i 0.347659 0.761266i
\(904\) 19.6003 16.0271i 0.651897 0.533053i
\(905\) −6.28132 11.9044i −0.208798 0.395717i
\(906\) −28.3005 + 15.9820i −0.940220 + 0.530967i
\(907\) 38.2692 + 4.39098i 1.27071 + 0.145800i 0.722987 0.690861i \(-0.242768\pi\)
0.547720 + 0.836661i \(0.315496\pi\)
\(908\) 3.18193 + 0.365093i 0.105596 + 0.0121160i
\(909\) 42.4479 23.9714i 1.40791 0.795081i
\(910\) 3.06853 + 5.81552i 0.101721 + 0.192783i
\(911\) −31.0859 + 25.4188i −1.02992 + 0.842163i −0.987608 0.156942i \(-0.949837\pi\)
−0.0423137 + 0.999104i \(0.513473\pi\)
\(912\) 20.5769 45.0572i 0.681370 1.49199i
\(913\) 16.8507 35.2699i 0.557676 1.16726i
\(914\) 4.45382 + 9.75251i 0.147319 + 0.322584i
\(915\) −3.48998 1.71591i −0.115375 0.0567261i
\(916\) 1.78378 + 1.83547i 0.0589379 + 0.0606457i
\(917\) −1.47055 0.0840889i −0.0485617 0.00277686i
\(918\) −2.90961 + 11.0693i −0.0960316 + 0.365342i
\(919\) 0.543989 + 19.0421i 0.0179445 + 0.628141i 0.957942 + 0.286961i \(0.0926449\pi\)
−0.939998 + 0.341180i \(0.889173\pi\)
\(920\) 5.26737 9.98277i 0.173660 0.329122i
\(921\) −5.29712 26.1423i −0.174546 0.861419i
\(922\) −8.86964 33.7436i −0.292106 1.11129i
\(923\) 19.1778 5.63111i 0.631245 0.185350i
\(924\) 1.02815 + 0.604320i 0.0338237 + 0.0198807i
\(925\) 7.67510 + 2.25361i 0.252356 + 0.0740983i
\(926\) 1.65645 57.9832i 0.0544342 1.90545i
\(927\) −44.4058 25.0771i −1.45848 0.823640i
\(928\) 1.71362 + 1.24502i 0.0562524 + 0.0408697i
\(929\) −2.57362 1.08762i −0.0844376 0.0356836i 0.346642 0.937997i \(-0.387322\pi\)
−0.431080 + 0.902314i \(0.641867\pi\)
\(930\) 21.7449 3.76311i 0.713044 0.123397i
\(931\) 2.37092 + 27.6041i 0.0777036 + 0.904687i
\(932\) 0.0357873 0.416664i 0.00117225 0.0136483i
\(933\) −70.1561 12.1410i −2.29681 0.397478i
\(934\) −4.44139 2.85431i −0.145327 0.0933958i
\(935\) −7.22536 6.11976i −0.236295 0.200138i
\(936\) 52.7036 33.8706i 1.72267 1.10709i
\(937\) 25.0374 10.5809i 0.817935 0.345662i 0.0601686 0.998188i \(-0.480836\pi\)
0.757766 + 0.652526i \(0.226291\pi\)
\(938\) 1.57427 + 0.366080i 0.0514016 + 0.0119529i
\(939\) −25.4552 65.3811i −0.830699 2.13363i
\(940\) −0.0566361 + 0.0939203i −0.00184726 + 0.00306334i
\(941\) −1.71474 5.27744i −0.0558991 0.172040i 0.919209 0.393770i \(-0.128829\pi\)
−0.975108 + 0.221731i \(0.928829\pi\)
\(942\) 7.61846 + 9.87979i 0.248223 + 0.321901i
\(943\) −9.01285 + 23.1493i −0.293499 + 0.753845i
\(944\) 22.1955 32.4599i 0.722402 1.05648i
\(945\) −0.298038 2.07290i −0.00969518 0.0674314i
\(946\) −42.7250 + 42.4675i −1.38911 + 1.38074i
\(947\) 2.61747 18.2049i 0.0850564 0.591580i −0.902064 0.431602i \(-0.857949\pi\)
0.987121 0.159978i \(-0.0511424\pi\)
\(948\) 3.92088 + 3.59855i 0.127344 + 0.116875i
\(949\) 81.6527 4.66907i 2.65056 0.151564i
\(950\) −1.26696 + 6.25269i −0.0411056 + 0.202864i
\(951\) 5.89376 + 4.81930i 0.191118 + 0.156277i
\(952\) −5.31193 + 2.61170i −0.172161 + 0.0846458i
\(953\) −40.9626 14.6154i −1.32691 0.473440i −0.424933 0.905225i \(-0.639702\pi\)
−0.901977 + 0.431785i \(0.857884\pi\)
\(954\) −9.24257 + 11.9860i −0.299239 + 0.388060i
\(955\) −6.82798 11.3229i −0.220948 0.366402i
\(956\) 0.334484 0.386015i 0.0108180 0.0124846i
\(957\) 17.3946 6.99887i 0.562289 0.226241i
\(958\) 2.39624 + 2.76540i 0.0774188 + 0.0893461i
\(959\) −5.13104 + 15.7917i −0.165690 + 0.509941i
\(960\) 17.9173 6.39287i 0.578277 0.206329i
\(961\) 0.596790 0.614082i 0.0192513 0.0198091i
\(962\) −50.2871 + 46.1531i −1.62132 + 1.48803i
\(963\) −39.1087 57.1947i −1.26026 1.84307i
\(964\) 0.250951 0.0583561i 0.00808257 0.00187952i
\(965\) −2.03913 + 1.48151i −0.0656419 + 0.0476916i
\(966\) 12.5572 1.44080i 0.404020 0.0463569i
\(967\) −42.4035 −1.36361 −0.681803 0.731536i \(-0.738804\pi\)
−0.681803 + 0.731536i \(0.738804\pi\)
\(968\) 18.5961 + 23.0247i 0.597702 + 0.740040i
\(969\) −32.7265 −1.05133
\(970\) 7.23440 0.830070i 0.232283 0.0266520i
\(971\) −10.8893 + 7.91152i −0.349454 + 0.253893i −0.748640 0.662977i \(-0.769293\pi\)
0.399186 + 0.916870i \(0.369293\pi\)
\(972\) −3.61273 + 0.840104i −0.115878 + 0.0269464i
\(973\) −0.837328 1.22455i −0.0268435 0.0392574i
\(974\) −27.4336 + 25.1784i −0.879030 + 0.806766i
\(975\) −10.6854 + 10.9950i −0.342208 + 0.352123i
\(976\) 5.97143 2.13060i 0.191141 0.0681989i
\(977\) −5.16406 + 15.8933i −0.165213 + 0.508473i −0.999052 0.0435348i \(-0.986138\pi\)
0.833839 + 0.552008i \(0.186138\pi\)
\(978\) 16.8481 + 19.4437i 0.538741 + 0.621741i
\(979\) 1.51290 32.9652i 0.0483524 1.05357i
\(980\) 0.738568 0.852353i 0.0235927 0.0272274i
\(981\) 20.0622 + 33.2694i 0.640536 + 1.06221i
\(982\) 14.2592 18.4917i 0.455030 0.590093i
\(983\) 11.6695 + 4.16368i 0.372200 + 0.132801i 0.515524 0.856875i \(-0.327597\pi\)
−0.143324 + 0.989676i \(0.545779\pi\)
\(984\) −37.8976 + 18.6330i −1.20813 + 0.593999i
\(985\) −6.10897 4.99528i −0.194648 0.159163i
\(986\) 1.78385 8.80364i 0.0568093 0.280365i
\(987\) 1.27033 0.0726399i 0.0404349 0.00231215i
\(988\) −3.24482 2.97807i −0.103232 0.0947451i
\(989\) −7.35101 + 51.1274i −0.233748 + 1.62576i
\(990\) −4.24438 + 19.2311i −0.134895 + 0.611206i
\(991\) 6.36496 + 44.2693i 0.202190 + 1.40626i 0.797769 + 0.602963i \(0.206013\pi\)
−0.595579 + 0.803296i \(0.703077\pi\)
\(992\) −3.16378 + 4.62688i −0.100450 + 0.146904i
\(993\) 18.4310 47.3397i 0.584890 1.50228i
\(994\) 2.39851 + 3.11044i 0.0760761 + 0.0986573i
\(995\) 4.59638 + 14.1462i 0.145715 + 0.448464i
\(996\) −2.83996 + 4.70955i −0.0899876 + 0.149228i
\(997\) 9.27463 + 23.8217i 0.293731 + 0.754441i 0.998966 + 0.0454674i \(0.0144777\pi\)
−0.705235 + 0.708973i \(0.749159\pi\)
\(998\) −7.29782 1.69704i −0.231009 0.0537187i
\(999\) 20.0243 8.46234i 0.633541 0.267737i
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 605.2.s.b.416.16 yes 880
121.16 even 55 inner 605.2.s.b.16.16 880
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.s.b.16.16 880 121.16 even 55 inner
605.2.s.b.416.16 yes 880 1.1 even 1 trivial