Properties

Label 99.2.m.b.58.6
Level $99$
Weight $2$
Character 99.58
Analytic conductor $0.791$
Analytic rank $0$
Dimension $72$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [99,2,Mod(4,99)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(99, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("99.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.m (of order \(15\), 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: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(9\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 58.6
Character \(\chi\) \(=\) 99.58
Dual form 99.2.m.b.70.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.527858 + 0.235017i) q^{2} +(-1.46440 - 0.924946i) q^{3} +(-1.11486 - 1.23818i) q^{4} +(2.74468 - 1.22201i) q^{5} +(-0.555618 - 0.832400i) q^{6} +(1.13888 - 0.242076i) q^{7} +(-0.654602 - 2.01466i) q^{8} +(1.28895 + 2.70899i) q^{9} +1.73599 q^{10} +(-2.54741 - 2.12385i) q^{11} +(0.487356 + 2.84438i) q^{12} +(0.412487 + 3.92455i) q^{13} +(0.658057 + 0.139874i) q^{14} +(-5.14961 - 0.749167i) q^{15} +(-0.220374 + 2.09672i) q^{16} +(0.254185 + 0.184677i) q^{17} +(0.0437225 + 1.73288i) q^{18} +(1.96794 + 6.05670i) q^{19} +(-4.57300 - 2.03603i) q^{20} +(-1.89168 - 0.698904i) q^{21} +(-0.845527 - 1.71977i) q^{22} +(0.0427501 - 0.0740453i) q^{23} +(-0.904849 + 3.55574i) q^{24} +(2.69431 - 2.99234i) q^{25} +(-0.704604 + 2.16855i) q^{26} +(0.618128 - 5.15926i) q^{27} +(-1.56942 - 1.14025i) q^{28} +(7.53156 - 1.60088i) q^{29} +(-2.54219 - 1.60570i) q^{30} +(-0.682449 - 6.49307i) q^{31} +(-2.72743 + 4.72404i) q^{32} +(1.76598 + 5.46638i) q^{33} +(0.0907715 + 0.157221i) q^{34} +(2.83004 - 2.05614i) q^{35} +(1.91721 - 4.61609i) q^{36} +(-1.92922 + 5.93753i) q^{37} +(-0.384637 + 3.65957i) q^{38} +(3.02595 - 6.12865i) q^{39} +(-4.25861 - 4.72966i) q^{40} +(-5.68213 - 1.20777i) q^{41} +(-0.834284 - 0.813500i) q^{42} +(3.39229 + 5.87562i) q^{43} +(0.210303 + 5.52194i) q^{44} +(6.84817 + 5.86020i) q^{45} +(0.0399679 - 0.0290384i) q^{46} +(-0.219298 + 0.243555i) q^{47} +(2.26207 - 2.86660i) q^{48} +(-5.15638 + 2.29577i) q^{49} +(2.12546 - 0.946318i) q^{50} +(-0.201414 - 0.505549i) q^{51} +(4.39943 - 4.88606i) q^{52} +(1.96000 - 1.42402i) q^{53} +(1.53880 - 2.57808i) q^{54} +(-9.58718 - 2.71632i) q^{55} +(-1.23321 - 2.13598i) q^{56} +(2.72026 - 10.6897i) q^{57} +(4.35183 + 0.925009i) q^{58} +(-1.53634 - 1.70628i) q^{59} +(4.81350 + 7.21136i) q^{60} +(1.43070 - 13.6122i) q^{61} +(1.16575 - 3.58780i) q^{62} +(2.12373 + 2.77318i) q^{63} +(0.861321 - 0.625787i) q^{64} +(5.92799 + 10.2676i) q^{65} +(-0.352506 + 3.30051i) q^{66} +(-5.83989 + 10.1150i) q^{67} +(-0.0547189 - 0.520616i) q^{68} +(-0.131091 + 0.0688906i) q^{69} +(1.97708 - 0.420242i) q^{70} +(-7.05272 - 5.12410i) q^{71} +(4.61393 - 4.37010i) q^{72} +(0.910538 - 2.80235i) q^{73} +(-2.41378 + 2.68077i) q^{74} +(-6.71331 + 1.88989i) q^{75} +(5.30529 - 9.18904i) q^{76} +(-3.41531 - 1.80213i) q^{77} +(3.03761 - 2.52391i) q^{78} +(-8.11886 - 3.61475i) q^{79} +(1.95735 + 6.02412i) q^{80} +(-5.67722 + 6.98349i) q^{81} +(-2.71551 - 1.97293i) q^{82} +(-0.518229 + 4.93062i) q^{83} +(1.24359 + 3.12142i) q^{84} +(0.923335 + 0.196261i) q^{85} +(0.409774 + 3.89874i) q^{86} +(-12.5100 - 4.62195i) q^{87} +(-2.61129 + 6.52242i) q^{88} +2.12862 q^{89} +(2.23761 + 4.70279i) q^{90} +(1.41981 + 4.36973i) q^{91} +(-0.139342 + 0.0296180i) q^{92} +(-5.00636 + 10.1397i) q^{93} +(-0.172998 + 0.0770236i) q^{94} +(12.8027 + 14.2189i) q^{95} +(8.36354 - 4.39518i) q^{96} +(-0.0811587 - 0.0361342i) q^{97} -3.26138 q^{98} +(2.47000 - 9.63842i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.527858 + 0.235017i 0.373252 + 0.166182i 0.584785 0.811188i \(-0.301179\pi\)
−0.211533 + 0.977371i \(0.567846\pi\)
\(3\) −1.46440 0.924946i −0.845473 0.534018i
\(4\) −1.11486 1.23818i −0.557430 0.619089i
\(5\) 2.74468 1.22201i 1.22746 0.546500i 0.312450 0.949934i \(-0.398850\pi\)
0.915009 + 0.403434i \(0.132184\pi\)
\(6\) −0.555618 0.832400i −0.226830 0.339826i
\(7\) 1.13888 0.242076i 0.430455 0.0914960i 0.0124114 0.999923i \(-0.496049\pi\)
0.418044 + 0.908427i \(0.362716\pi\)
\(8\) −0.654602 2.01466i −0.231437 0.712289i
\(9\) 1.28895 + 2.70899i 0.429650 + 0.902996i
\(10\) 1.73599 0.548970
\(11\) −2.54741 2.12385i −0.768072 0.640364i
\(12\) 0.487356 + 2.84438i 0.140688 + 0.821101i
\(13\) 0.412487 + 3.92455i 0.114403 + 1.08848i 0.889595 + 0.456750i \(0.150986\pi\)
−0.775192 + 0.631726i \(0.782347\pi\)
\(14\) 0.658057 + 0.139874i 0.175873 + 0.0373830i
\(15\) −5.14961 0.749167i −1.32962 0.193434i
\(16\) −0.220374 + 2.09672i −0.0550935 + 0.524179i
\(17\) 0.254185 + 0.184677i 0.0616490 + 0.0447906i 0.618183 0.786034i \(-0.287869\pi\)
−0.556534 + 0.830825i \(0.687869\pi\)
\(18\) 0.0437225 + 1.73288i 0.0103055 + 0.408445i
\(19\) 1.96794 + 6.05670i 0.451477 + 1.38950i 0.875222 + 0.483721i \(0.160715\pi\)
−0.423746 + 0.905781i \(0.639285\pi\)
\(20\) −4.57300 2.03603i −1.02255 0.455271i
\(21\) −1.89168 0.698904i −0.412799 0.152513i
\(22\) −0.845527 1.71977i −0.180267 0.366657i
\(23\) 0.0427501 0.0740453i 0.00891401 0.0154395i −0.861534 0.507700i \(-0.830496\pi\)
0.870448 + 0.492260i \(0.163829\pi\)
\(24\) −0.904849 + 3.55574i −0.184702 + 0.725813i
\(25\) 2.69431 2.99234i 0.538862 0.598467i
\(26\) −0.704604 + 2.16855i −0.138184 + 0.425287i
\(27\) 0.618128 5.15926i 0.118959 0.992899i
\(28\) −1.56942 1.14025i −0.296593 0.215487i
\(29\) 7.53156 1.60088i 1.39858 0.297276i 0.553913 0.832575i \(-0.313134\pi\)
0.844663 + 0.535298i \(0.179801\pi\)
\(30\) −2.54219 1.60570i −0.464139 0.293160i
\(31\) −0.682449 6.49307i −0.122571 1.16619i −0.866937 0.498418i \(-0.833915\pi\)
0.744366 0.667772i \(-0.232752\pi\)
\(32\) −2.72743 + 4.72404i −0.482146 + 0.835101i
\(33\) 1.76598 + 5.46638i 0.307418 + 0.951574i
\(34\) 0.0907715 + 0.157221i 0.0155672 + 0.0269632i
\(35\) 2.83004 2.05614i 0.478363 0.347551i
\(36\) 1.91721 4.61609i 0.319535 0.769349i
\(37\) −1.92922 + 5.93753i −0.317162 + 0.976124i 0.657694 + 0.753286i \(0.271532\pi\)
−0.974855 + 0.222838i \(0.928468\pi\)
\(38\) −0.384637 + 3.65957i −0.0623963 + 0.593661i
\(39\) 3.02595 6.12865i 0.484540 0.981370i
\(40\) −4.25861 4.72966i −0.673345 0.747825i
\(41\) −5.68213 1.20777i −0.887399 0.188623i −0.258409 0.966036i \(-0.583198\pi\)
−0.628990 + 0.777413i \(0.716532\pi\)
\(42\) −0.834284 0.813500i −0.128733 0.125526i
\(43\) 3.39229 + 5.87562i 0.517320 + 0.896024i 0.999798 + 0.0201157i \(0.00640347\pi\)
−0.482478 + 0.875908i \(0.660263\pi\)
\(44\) 0.210303 + 5.52194i 0.0317043 + 0.832463i
\(45\) 6.84817 + 5.86020i 1.02086 + 0.873587i
\(46\) 0.0399679 0.0290384i 0.00589294 0.00428147i
\(47\) −0.219298 + 0.243555i −0.0319879 + 0.0355262i −0.758926 0.651176i \(-0.774276\pi\)
0.726939 + 0.686703i \(0.240942\pi\)
\(48\) 2.26207 2.86660i 0.326501 0.413759i
\(49\) −5.15638 + 2.29577i −0.736625 + 0.327967i
\(50\) 2.12546 0.946318i 0.300586 0.133830i
\(51\) −0.201414 0.505549i −0.0282036 0.0707910i
\(52\) 4.39943 4.88606i 0.610091 0.677575i
\(53\) 1.96000 1.42402i 0.269227 0.195605i −0.444978 0.895541i \(-0.646789\pi\)
0.714205 + 0.699937i \(0.246789\pi\)
\(54\) 1.53880 2.57808i 0.209404 0.350832i
\(55\) −9.58718 2.71632i −1.29274 0.366269i
\(56\) −1.23321 2.13598i −0.164795 0.285433i
\(57\) 2.72026 10.6897i 0.360308 1.41588i
\(58\) 4.35183 + 0.925009i 0.571423 + 0.121460i
\(59\) −1.53634 1.70628i −0.200015 0.222139i 0.634790 0.772685i \(-0.281087\pi\)
−0.834805 + 0.550545i \(0.814420\pi\)
\(60\) 4.81350 + 7.21136i 0.621420 + 0.930982i
\(61\) 1.43070 13.6122i 0.183183 1.74287i −0.387656 0.921804i \(-0.626715\pi\)
0.570839 0.821062i \(-0.306618\pi\)
\(62\) 1.16575 3.58780i 0.148050 0.455652i
\(63\) 2.12373 + 2.77318i 0.267565 + 0.349388i
\(64\) 0.861321 0.625787i 0.107665 0.0782233i
\(65\) 5.92799 + 10.2676i 0.735277 + 1.27354i
\(66\) −0.352506 + 3.30051i −0.0433905 + 0.406264i
\(67\) −5.83989 + 10.1150i −0.713456 + 1.23574i 0.250096 + 0.968221i \(0.419538\pi\)
−0.963552 + 0.267521i \(0.913795\pi\)
\(68\) −0.0547189 0.520616i −0.00663564 0.0631339i
\(69\) −0.131091 + 0.0688906i −0.0157815 + 0.00829345i
\(70\) 1.97708 0.420242i 0.236307 0.0502286i
\(71\) −7.05272 5.12410i −0.837004 0.608119i 0.0845279 0.996421i \(-0.473062\pi\)
−0.921532 + 0.388302i \(0.873062\pi\)
\(72\) 4.61393 4.37010i 0.543757 0.515021i
\(73\) 0.910538 2.80235i 0.106570 0.327990i −0.883525 0.468383i \(-0.844837\pi\)
0.990096 + 0.140393i \(0.0448367\pi\)
\(74\) −2.41378 + 2.68077i −0.280596 + 0.311633i
\(75\) −6.71331 + 1.88989i −0.775186 + 0.218226i
\(76\) 5.30529 9.18904i 0.608559 1.05405i
\(77\) −3.41531 1.80213i −0.389211 0.205372i
\(78\) 3.03761 2.52391i 0.343942 0.285776i
\(79\) −8.11886 3.61475i −0.913443 0.406691i −0.104464 0.994529i \(-0.533313\pi\)
−0.808979 + 0.587838i \(0.799979\pi\)
\(80\) 1.95735 + 6.02412i 0.218839 + 0.673517i
\(81\) −5.67722 + 6.98349i −0.630802 + 0.775944i
\(82\) −2.71551 1.97293i −0.299878 0.217874i
\(83\) −0.518229 + 4.93062i −0.0568831 + 0.541206i 0.928558 + 0.371188i \(0.121049\pi\)
−0.985441 + 0.170018i \(0.945617\pi\)
\(84\) 1.24359 + 3.12142i 0.135687 + 0.340575i
\(85\) 0.923335 + 0.196261i 0.100150 + 0.0212875i
\(86\) 0.409774 + 3.89874i 0.0441871 + 0.420412i
\(87\) −12.5100 4.62195i −1.34121 0.495525i
\(88\) −2.61129 + 6.52242i −0.278364 + 0.695293i
\(89\) 2.12862 0.225634 0.112817 0.993616i \(-0.464013\pi\)
0.112817 + 0.993616i \(0.464013\pi\)
\(90\) 2.23761 + 4.70279i 0.235865 + 0.495717i
\(91\) 1.41981 + 4.36973i 0.148837 + 0.458072i
\(92\) −0.139342 + 0.0296180i −0.0145274 + 0.00308789i
\(93\) −5.00636 + 10.1397i −0.519135 + 1.05144i
\(94\) −0.172998 + 0.0770236i −0.0178434 + 0.00794437i
\(95\) 12.8027 + 14.2189i 1.31353 + 1.45882i
\(96\) 8.36354 4.39518i 0.853600 0.448581i
\(97\) −0.0811587 0.0361342i −0.00824041 0.00366887i 0.402612 0.915371i \(-0.368102\pi\)
−0.410853 + 0.911702i \(0.634769\pi\)
\(98\) −3.26138 −0.329449
\(99\) 2.47000 9.63842i 0.248244 0.968698i
\(100\) −6.70883 −0.670883
\(101\) −1.87869 0.836447i −0.186937 0.0832296i 0.311134 0.950366i \(-0.399291\pi\)
−0.498071 + 0.867137i \(0.665958\pi\)
\(102\) 0.0124948 0.314194i 0.00123717 0.0311098i
\(103\) −2.01858 2.24186i −0.198896 0.220897i 0.635443 0.772148i \(-0.280817\pi\)
−0.834340 + 0.551251i \(0.814151\pi\)
\(104\) 7.63662 3.40004i 0.748832 0.333401i
\(105\) −6.04613 + 0.393387i −0.590042 + 0.0383907i
\(106\) 1.36927 0.291048i 0.132995 0.0282690i
\(107\) 3.70600 + 11.4059i 0.358272 + 1.10265i 0.954088 + 0.299527i \(0.0968290\pi\)
−0.595815 + 0.803121i \(0.703171\pi\)
\(108\) −7.07720 + 4.98650i −0.681004 + 0.479826i
\(109\) 5.20013 0.498082 0.249041 0.968493i \(-0.419885\pi\)
0.249041 + 0.968493i \(0.419885\pi\)
\(110\) −4.42228 3.68699i −0.421648 0.351540i
\(111\) 8.31705 6.91051i 0.789420 0.655916i
\(112\) 0.256586 + 2.44125i 0.0242451 + 0.230676i
\(113\) −18.8074 3.99763i −1.76925 0.376066i −0.795907 0.605419i \(-0.793005\pi\)
−0.973343 + 0.229354i \(0.926339\pi\)
\(114\) 3.94817 5.00332i 0.369780 0.468604i
\(115\) 0.0268512 0.255472i 0.00250389 0.0238229i
\(116\) −10.3788 7.54065i −0.963649 0.700132i
\(117\) −10.0999 + 6.17597i −0.933735 + 0.570969i
\(118\) −0.409965 1.26174i −0.0377403 0.116153i
\(119\) 0.334192 + 0.148792i 0.0306353 + 0.0136397i
\(120\) 1.86163 + 10.8651i 0.169943 + 0.991844i
\(121\) 1.97856 + 10.8206i 0.179869 + 0.983691i
\(122\) 3.95432 6.84907i 0.358007 0.620086i
\(123\) 7.20380 + 7.02433i 0.649544 + 0.633362i
\(124\) −7.27874 + 8.08386i −0.653650 + 0.725952i
\(125\) −0.903736 + 2.78141i −0.0808326 + 0.248777i
\(126\) 0.469284 + 1.96296i 0.0418071 + 0.174874i
\(127\) 10.6652 + 7.74873i 0.946384 + 0.687588i 0.949949 0.312405i \(-0.101135\pi\)
−0.00356461 + 0.999994i \(0.501135\pi\)
\(128\) 11.2730 2.39616i 0.996405 0.211792i
\(129\) 0.466954 11.7420i 0.0411130 1.03382i
\(130\) 0.716076 + 6.81300i 0.0628040 + 0.597540i
\(131\) 8.98588 15.5640i 0.785100 1.35983i −0.143839 0.989601i \(-0.545945\pi\)
0.928939 0.370233i \(-0.120722\pi\)
\(132\) 4.79953 8.28085i 0.417745 0.720756i
\(133\) 3.70742 + 6.42144i 0.321474 + 0.556810i
\(134\) −5.45983 + 3.96680i −0.471657 + 0.342679i
\(135\) −4.60810 14.9159i −0.396602 1.28375i
\(136\) 0.205670 0.632986i 0.0176360 0.0542781i
\(137\) 1.71445 16.3119i 0.146475 1.39362i −0.636361 0.771391i \(-0.719561\pi\)
0.782836 0.622228i \(-0.213772\pi\)
\(138\) −0.0853880 + 0.00555571i −0.00726871 + 0.000472934i
\(139\) −7.96373 8.84461i −0.675475 0.750190i 0.303798 0.952736i \(-0.401745\pi\)
−0.979273 + 0.202546i \(0.935078\pi\)
\(140\) −5.70096 1.21178i −0.481819 0.102414i
\(141\) 0.546416 0.153824i 0.0460165 0.0129543i
\(142\) −2.51858 4.36231i −0.211355 0.366077i
\(143\) 7.28438 10.8735i 0.609150 0.909287i
\(144\) −5.96403 + 2.10557i −0.497002 + 0.175464i
\(145\) 18.7154 13.5976i 1.55423 1.12922i
\(146\) 1.13923 1.26525i 0.0942837 0.104713i
\(147\) 9.67447 + 1.40745i 0.797937 + 0.116084i
\(148\) 9.50253 4.23080i 0.781103 0.347770i
\(149\) −4.13993 + 1.84321i −0.339156 + 0.151002i −0.569246 0.822167i \(-0.692765\pi\)
0.230090 + 0.973169i \(0.426098\pi\)
\(150\) −3.98783 0.580150i −0.325605 0.0473691i
\(151\) −1.96113 + 2.17806i −0.159595 + 0.177248i −0.817639 0.575732i \(-0.804717\pi\)
0.658044 + 0.752979i \(0.271384\pi\)
\(152\) 10.9140 7.92945i 0.885239 0.643164i
\(153\) −0.172654 + 0.926624i −0.0139583 + 0.0749131i
\(154\) −1.37927 1.75393i −0.111144 0.141336i
\(155\) −9.80771 16.9874i −0.787774 1.36446i
\(156\) −10.9619 + 3.08593i −0.877653 + 0.247072i
\(157\) 17.6591 + 3.75356i 1.40935 + 0.299567i 0.848871 0.528600i \(-0.177283\pi\)
0.560481 + 0.828167i \(0.310616\pi\)
\(158\) −3.43607 3.81614i −0.273359 0.303596i
\(159\) −4.18737 + 0.272449i −0.332080 + 0.0216066i
\(160\) −1.71309 + 16.2989i −0.135431 + 1.28854i
\(161\) 0.0307625 0.0946773i 0.00242443 0.00746161i
\(162\) −4.63801 + 2.35204i −0.364396 + 0.184794i
\(163\) 4.71129 3.42295i 0.369017 0.268106i −0.387786 0.921749i \(-0.626760\pi\)
0.756803 + 0.653643i \(0.226760\pi\)
\(164\) 4.83934 + 8.38199i 0.377889 + 0.654523i
\(165\) 11.5270 + 12.8454i 0.897379 + 1.00001i
\(166\) −1.43233 + 2.48087i −0.111171 + 0.192553i
\(167\) 0.524913 + 4.99422i 0.0406190 + 0.386464i 0.995879 + 0.0906956i \(0.0289090\pi\)
−0.955260 + 0.295769i \(0.904424\pi\)
\(168\) −0.169753 + 4.26859i −0.0130968 + 0.329329i
\(169\) −2.51606 + 0.534805i −0.193543 + 0.0411388i
\(170\) 0.441265 + 0.320598i 0.0338435 + 0.0245887i
\(171\) −13.8709 + 13.1379i −1.06074 + 1.00468i
\(172\) 3.49313 10.7508i 0.266349 0.819738i
\(173\) −10.4317 + 11.5855i −0.793104 + 0.880831i −0.995132 0.0985486i \(-0.968580\pi\)
0.202028 + 0.979380i \(0.435247\pi\)
\(174\) −5.51724 5.37979i −0.418261 0.407841i
\(175\) 2.34412 4.06013i 0.177199 0.306917i
\(176\) 5.01449 4.87315i 0.377981 0.367327i
\(177\) 0.671606 + 3.91972i 0.0504810 + 0.294624i
\(178\) 1.12361 + 0.500263i 0.0842181 + 0.0374963i
\(179\) 2.17822 + 6.70387i 0.162808 + 0.501071i 0.998868 0.0475668i \(-0.0151467\pi\)
−0.836060 + 0.548638i \(0.815147\pi\)
\(180\) −0.378783 15.0126i −0.0282328 1.11897i
\(181\) −2.02068 1.46811i −0.150196 0.109124i 0.510149 0.860086i \(-0.329590\pi\)
−0.660345 + 0.750962i \(0.729590\pi\)
\(182\) −0.277504 + 2.64028i −0.0205700 + 0.195710i
\(183\) −14.6857 + 18.6104i −1.08560 + 1.37572i
\(184\) −0.177160 0.0376566i −0.0130604 0.00277608i
\(185\) 1.96063 + 18.6542i 0.144148 + 1.37148i
\(186\) −5.02565 + 4.17573i −0.368499 + 0.306180i
\(187\) −0.255289 1.01030i −0.0186686 0.0738802i
\(188\) 0.546051 0.0398249
\(189\) −0.544960 6.02539i −0.0396400 0.438283i
\(190\) 3.41633 + 10.5144i 0.247847 + 0.762795i
\(191\) 11.5646 2.45814i 0.836786 0.177864i 0.230461 0.973081i \(-0.425976\pi\)
0.606325 + 0.795217i \(0.292643\pi\)
\(192\) −1.84014 + 0.119727i −0.132801 + 0.00864058i
\(193\) 6.16338 2.74411i 0.443650 0.197526i −0.172739 0.984968i \(-0.555262\pi\)
0.616389 + 0.787442i \(0.288595\pi\)
\(194\) −0.0343481 0.0381474i −0.00246605 0.00273882i
\(195\) 0.815997 20.5190i 0.0584348 1.46939i
\(196\) 8.59121 + 3.82505i 0.613658 + 0.273218i
\(197\) −20.6474 −1.47107 −0.735534 0.677488i \(-0.763069\pi\)
−0.735534 + 0.677488i \(0.763069\pi\)
\(198\) 3.56900 4.50722i 0.253638 0.320314i
\(199\) −13.2862 −0.941832 −0.470916 0.882178i \(-0.656077\pi\)
−0.470916 + 0.882178i \(0.656077\pi\)
\(200\) −7.79224 3.46933i −0.550994 0.245318i
\(201\) 17.9078 9.41083i 1.26312 0.663789i
\(202\) −0.795102 0.883050i −0.0559432 0.0621312i
\(203\) 8.18999 3.64642i 0.574824 0.255928i
\(204\) −0.401411 + 0.813003i −0.0281044 + 0.0569216i
\(205\) −17.0715 + 3.62867i −1.19233 + 0.253437i
\(206\) −0.538646 1.65778i −0.0375292 0.115503i
\(207\) 0.255690 + 0.0203688i 0.0177717 + 0.00141573i
\(208\) −8.31958 −0.576859
\(209\) 7.85035 19.6085i 0.543020 1.35635i
\(210\) −3.28395 1.21329i −0.226614 0.0837252i
\(211\) 0.872292 + 8.29930i 0.0600510 + 0.571348i 0.982635 + 0.185551i \(0.0594068\pi\)
−0.922584 + 0.385797i \(0.873926\pi\)
\(212\) −3.94832 0.839242i −0.271172 0.0576394i
\(213\) 5.58851 + 14.0271i 0.382918 + 0.961124i
\(214\) −0.724343 + 6.89166i −0.0495150 + 0.471104i
\(215\) 16.4908 + 11.9813i 1.12467 + 0.817117i
\(216\) −10.7988 + 2.13194i −0.734763 + 0.145060i
\(217\) −2.34904 7.22960i −0.159463 0.490778i
\(218\) 2.74493 + 1.22212i 0.185910 + 0.0827724i
\(219\) −3.92541 + 3.26156i −0.265255 + 0.220396i
\(220\) 7.32508 + 14.8990i 0.493857 + 1.00449i
\(221\) −0.619925 + 1.07374i −0.0417007 + 0.0722277i
\(222\) 6.01431 1.69311i 0.403654 0.113634i
\(223\) −0.256716 + 0.285112i −0.0171910 + 0.0190925i −0.751679 0.659529i \(-0.770756\pi\)
0.734488 + 0.678622i \(0.237422\pi\)
\(224\) −1.96263 + 6.04035i −0.131134 + 0.403588i
\(225\) 11.5790 + 3.44189i 0.771936 + 0.229459i
\(226\) −8.98811 6.53024i −0.597880 0.434385i
\(227\) −17.6204 + 3.74533i −1.16951 + 0.248586i −0.751422 0.659822i \(-0.770632\pi\)
−0.418084 + 0.908408i \(0.637298\pi\)
\(228\) −16.2684 + 8.54934i −1.07740 + 0.566194i
\(229\) −1.40359 13.3543i −0.0927521 0.882478i −0.937657 0.347561i \(-0.887010\pi\)
0.844905 0.534916i \(-0.179657\pi\)
\(230\) 0.0742139 0.128542i 0.00489352 0.00847583i
\(231\) 3.33452 + 5.79803i 0.219395 + 0.381482i
\(232\) −8.15540 14.1256i −0.535428 0.927389i
\(233\) 2.72611 1.98063i 0.178593 0.129756i −0.494897 0.868952i \(-0.664794\pi\)
0.673490 + 0.739196i \(0.264794\pi\)
\(234\) −6.78276 + 0.886384i −0.443403 + 0.0579447i
\(235\) −0.304276 + 0.936466i −0.0198488 + 0.0610883i
\(236\) −0.399873 + 3.80454i −0.0260295 + 0.247654i
\(237\) 8.54582 + 12.8029i 0.555111 + 0.831641i
\(238\) 0.141437 + 0.157082i 0.00916800 + 0.0101821i
\(239\) 22.6899 + 4.82289i 1.46769 + 0.311967i 0.871308 0.490736i \(-0.163272\pi\)
0.596379 + 0.802703i \(0.296606\pi\)
\(240\) 2.70563 10.6322i 0.174648 0.686304i
\(241\) −7.58206 13.1325i −0.488404 0.845940i 0.511507 0.859279i \(-0.329087\pi\)
−0.999911 + 0.0133389i \(0.995754\pi\)
\(242\) −1.49863 + 6.17673i −0.0963358 + 0.397055i
\(243\) 14.7731 4.97552i 0.947694 0.319180i
\(244\) −18.4494 + 13.4043i −1.18110 + 0.858120i
\(245\) −11.3472 + 12.6023i −0.724944 + 0.805131i
\(246\) 2.15174 + 5.40086i 0.137190 + 0.344346i
\(247\) −22.9581 + 10.2216i −1.46079 + 0.650385i
\(248\) −12.6346 + 5.62528i −0.802297 + 0.357205i
\(249\) 5.31946 6.74108i 0.337107 0.427199i
\(250\) −1.13072 + 1.25580i −0.0715133 + 0.0794235i
\(251\) 0.471095 0.342271i 0.0297353 0.0216039i −0.572818 0.819682i \(-0.694150\pi\)
0.602554 + 0.798078i \(0.294150\pi\)
\(252\) 1.06602 5.72127i 0.0671531 0.360406i
\(253\) −0.266163 + 0.0978289i −0.0167335 + 0.00615045i
\(254\) 3.80863 + 6.59673i 0.238974 + 0.413916i
\(255\) −1.17060 1.14144i −0.0733060 0.0714798i
\(256\) 4.43092 + 0.941821i 0.276933 + 0.0588638i
\(257\) −7.34131 8.15335i −0.457939 0.508592i 0.469313 0.883032i \(-0.344502\pi\)
−0.927251 + 0.374440i \(0.877835\pi\)
\(258\) 3.00605 6.08834i 0.187148 0.379044i
\(259\) −0.759813 + 7.22913i −0.0472125 + 0.449197i
\(260\) 6.10421 18.7868i 0.378567 1.16511i
\(261\) 14.0446 + 18.3394i 0.869337 + 1.13518i
\(262\) 8.40108 6.10374i 0.519020 0.377090i
\(263\) 7.19768 + 12.4668i 0.443828 + 0.768733i 0.997970 0.0636896i \(-0.0202868\pi\)
−0.554142 + 0.832422i \(0.686953\pi\)
\(264\) 9.85686 7.13615i 0.606648 0.439200i
\(265\) 3.63940 6.30363i 0.223567 0.387229i
\(266\) 0.447840 + 4.26092i 0.0274589 + 0.261254i
\(267\) −3.11716 1.96886i −0.190767 0.120492i
\(268\) 19.0348 4.04598i 1.16274 0.247147i
\(269\) −0.395590 0.287413i −0.0241195 0.0175239i 0.575660 0.817689i \(-0.304745\pi\)
−0.599780 + 0.800165i \(0.704745\pi\)
\(270\) 1.07307 8.95644i 0.0653047 0.545072i
\(271\) 6.77950 20.8652i 0.411825 1.26747i −0.503234 0.864150i \(-0.667857\pi\)
0.915060 0.403318i \(-0.132143\pi\)
\(272\) −0.443230 + 0.492257i −0.0268748 + 0.0298475i
\(273\) 1.96259 7.71229i 0.118781 0.466769i
\(274\) 4.73856 8.20743i 0.286267 0.495829i
\(275\) −13.2188 + 1.90039i −0.797122 + 0.114598i
\(276\) 0.231447 + 0.0855109i 0.0139315 + 0.00514715i
\(277\) 2.62144 + 1.16714i 0.157507 + 0.0701267i 0.483976 0.875081i \(-0.339192\pi\)
−0.326469 + 0.945208i \(0.605859\pi\)
\(278\) −2.12508 6.54031i −0.127454 0.392262i
\(279\) 16.7100 10.2180i 1.00040 0.611735i
\(280\) −5.99497 4.35560i −0.358268 0.260297i
\(281\) −1.90013 + 18.0785i −0.113352 + 1.07847i 0.778967 + 0.627066i \(0.215744\pi\)
−0.892318 + 0.451406i \(0.850922\pi\)
\(282\) 0.324581 + 0.0472201i 0.0193285 + 0.00281192i
\(283\) 20.0883 + 4.26991i 1.19413 + 0.253820i 0.761749 0.647873i \(-0.224341\pi\)
0.432378 + 0.901692i \(0.357674\pi\)
\(284\) 1.51825 + 14.4452i 0.0900916 + 0.857164i
\(285\) −5.59665 32.6640i −0.331517 1.93485i
\(286\) 6.40057 4.02770i 0.378474 0.238163i
\(287\) −6.76362 −0.399244
\(288\) −16.3129 1.29952i −0.961246 0.0765747i
\(289\) −5.22278 16.0741i −0.307223 0.945534i
\(290\) 13.0747 2.77912i 0.767776 0.163196i
\(291\) 0.0854268 + 0.127982i 0.00500781 + 0.00750246i
\(292\) −4.48493 + 1.99682i −0.262461 + 0.116855i
\(293\) 0.575497 + 0.639154i 0.0336209 + 0.0373398i 0.759721 0.650250i \(-0.225336\pi\)
−0.726100 + 0.687589i \(0.758669\pi\)
\(294\) 4.77597 + 3.01660i 0.278540 + 0.175932i
\(295\) −6.30187 2.80578i −0.366909 0.163359i
\(296\) 13.2250 0.768685
\(297\) −12.5321 + 11.8299i −0.727185 + 0.686441i
\(298\) −2.61848 −0.151684
\(299\) 0.308229 + 0.137232i 0.0178253 + 0.00793635i
\(300\) 9.82443 + 6.20531i 0.567214 + 0.358264i
\(301\) 5.28575 + 5.87042i 0.304665 + 0.338365i
\(302\) −1.54708 + 0.688804i −0.0890244 + 0.0396362i
\(303\) 1.97749 + 2.96258i 0.113604 + 0.170196i
\(304\) −13.1329 + 2.79148i −0.753221 + 0.160102i
\(305\) −12.7075 39.1095i −0.727627 2.23941i
\(306\) −0.308910 + 0.448549i −0.0176592 + 0.0256418i
\(307\) 3.48920 0.199139 0.0995696 0.995031i \(-0.468253\pi\)
0.0995696 + 0.995031i \(0.468253\pi\)
\(308\) 1.57624 + 6.23790i 0.0898144 + 0.355437i
\(309\) 0.882412 + 5.15005i 0.0501986 + 0.292976i
\(310\) −1.18473 11.2719i −0.0672880 0.640203i
\(311\) −10.6083 2.25486i −0.601542 0.127862i −0.102932 0.994688i \(-0.532822\pi\)
−0.498610 + 0.866827i \(0.666156\pi\)
\(312\) −14.3279 2.08443i −0.811160 0.118008i
\(313\) 2.95618 28.1261i 0.167093 1.58978i −0.514133 0.857710i \(-0.671886\pi\)
0.681226 0.732073i \(-0.261447\pi\)
\(314\) 8.43935 + 6.13155i 0.476260 + 0.346023i
\(315\) 9.21783 + 5.01627i 0.519366 + 0.282635i
\(316\) 4.57569 + 14.0825i 0.257403 + 0.792204i
\(317\) −1.01634 0.452505i −0.0570836 0.0254152i 0.377996 0.925807i \(-0.376613\pi\)
−0.435080 + 0.900392i \(0.643280\pi\)
\(318\) −2.27437 0.840291i −0.127540 0.0471212i
\(319\) −22.5860 11.9178i −1.26457 0.667267i
\(320\) 1.59933 2.77013i 0.0894055 0.154855i
\(321\) 5.12276 20.1307i 0.285925 1.12358i
\(322\) 0.0384890 0.0427464i 0.00214491 0.00238216i
\(323\) −0.618308 + 1.90296i −0.0344036 + 0.105883i
\(324\) 14.9761 0.756208i 0.832007 0.0420116i
\(325\) 12.8550 + 9.33967i 0.713065 + 0.518072i
\(326\) 3.29134 0.699597i 0.182291 0.0387471i
\(327\) −7.61508 4.80984i −0.421115 0.265985i
\(328\) 1.28628 + 12.2382i 0.0710230 + 0.675739i
\(329\) −0.190795 + 0.330466i −0.0105188 + 0.0182192i
\(330\) 3.06574 + 9.48961i 0.168763 + 0.522386i
\(331\) 6.18915 + 10.7199i 0.340187 + 0.589221i 0.984467 0.175569i \(-0.0561764\pi\)
−0.644281 + 0.764789i \(0.722843\pi\)
\(332\) 6.68275 4.85530i 0.366763 0.266469i
\(333\) −18.5714 + 2.42694i −1.01770 + 0.132995i
\(334\) −0.896648 + 2.75960i −0.0490624 + 0.150999i
\(335\) −3.66801 + 34.8988i −0.200405 + 1.90673i
\(336\) 1.88228 3.81230i 0.102687 0.207978i
\(337\) 9.01561 + 10.0128i 0.491112 + 0.545435i 0.936851 0.349728i \(-0.113726\pi\)
−0.445740 + 0.895163i \(0.647059\pi\)
\(338\) −1.45381 0.309017i −0.0790768 0.0168083i
\(339\) 23.8440 + 23.2500i 1.29503 + 1.26276i
\(340\) −0.786384 1.36206i −0.0426477 0.0738679i
\(341\) −12.0518 + 17.9899i −0.652642 + 0.974208i
\(342\) −10.4095 + 3.67503i −0.562882 + 0.198723i
\(343\) −11.9104 + 8.65342i −0.643102 + 0.467241i
\(344\) 9.61676 10.6805i 0.518501 0.575854i
\(345\) −0.275619 + 0.349278i −0.0148388 + 0.0188045i
\(346\) −8.22923 + 3.66389i −0.442406 + 0.196972i
\(347\) 8.89717 3.96128i 0.477625 0.212652i −0.153781 0.988105i \(-0.549145\pi\)
0.631406 + 0.775453i \(0.282478\pi\)
\(348\) 8.22407 + 20.6424i 0.440856 + 1.10655i
\(349\) −2.97107 + 3.29971i −0.159038 + 0.176629i −0.817397 0.576074i \(-0.804584\pi\)
0.658360 + 0.752703i \(0.271251\pi\)
\(350\) 2.19156 1.59226i 0.117144 0.0851100i
\(351\) 20.5027 + 0.297748i 1.09436 + 0.0158926i
\(352\) 16.9810 6.24142i 0.905090 0.332669i
\(353\) −16.2618 28.1662i −0.865527 1.49914i −0.866523 0.499137i \(-0.833651\pi\)
0.000996749 1.00000i \(-0.499683\pi\)
\(354\) −0.566690 + 2.22689i −0.0301193 + 0.118358i
\(355\) −25.6192 5.44553i −1.35973 0.289019i
\(356\) −2.37312 2.63561i −0.125775 0.139687i
\(357\) −0.351767 0.527000i −0.0186175 0.0278918i
\(358\) −0.425736 + 4.05061i −0.0225008 + 0.214081i
\(359\) −8.58143 + 26.4109i −0.452911 + 1.39392i 0.420660 + 0.907218i \(0.361799\pi\)
−0.873571 + 0.486697i \(0.838201\pi\)
\(360\) 7.32347 17.6328i 0.385981 0.929330i
\(361\) −17.4395 + 12.6705i −0.917868 + 0.666870i
\(362\) −0.721600 1.24985i −0.0379264 0.0656905i
\(363\) 7.11107 17.6758i 0.373234 0.927737i
\(364\) 3.82761 6.62962i 0.200621 0.347487i
\(365\) −0.925362 8.80424i −0.0484357 0.460835i
\(366\) −12.1257 + 6.37227i −0.633822 + 0.333084i
\(367\) −1.14658 + 0.243713i −0.0598511 + 0.0127217i −0.237740 0.971329i \(-0.576407\pi\)
0.177889 + 0.984051i \(0.443073\pi\)
\(368\) 0.145831 + 0.105952i 0.00760197 + 0.00552315i
\(369\) −4.05213 16.9496i −0.210945 0.882359i
\(370\) −3.34912 + 10.3075i −0.174112 + 0.535862i
\(371\) 1.88748 2.09626i 0.0979929 0.108832i
\(372\) 18.1361 5.10558i 0.940315 0.264712i
\(373\) −10.8834 + 18.8506i −0.563520 + 0.976046i 0.433665 + 0.901074i \(0.357220\pi\)
−0.997186 + 0.0749719i \(0.976113\pi\)
\(374\) 0.102681 0.593290i 0.00530951 0.0306783i
\(375\) 3.89609 3.23720i 0.201193 0.167168i
\(376\) 0.634233 + 0.282379i 0.0327081 + 0.0145626i
\(377\) 9.38942 + 28.8977i 0.483580 + 1.48831i
\(378\) 1.12841 3.30862i 0.0580392 0.170177i
\(379\) 13.1440 + 9.54967i 0.675161 + 0.490533i 0.871749 0.489953i \(-0.162986\pi\)
−0.196588 + 0.980486i \(0.562986\pi\)
\(380\) 3.33224 31.7041i 0.170940 1.62639i
\(381\) −8.45100 21.2120i −0.432958 1.08672i
\(382\) 6.68218 + 1.42034i 0.341890 + 0.0726709i
\(383\) −0.647381 6.15942i −0.0330796 0.314732i −0.998533 0.0541542i \(-0.982754\pi\)
0.965453 0.260577i \(-0.0839129\pi\)
\(384\) −18.7246 6.91801i −0.955534 0.353033i
\(385\) −11.5762 0.772734i −0.589977 0.0393821i
\(386\) 3.89830 0.198418
\(387\) −11.5445 + 16.7630i −0.586839 + 0.852114i
\(388\) 0.0457401 + 0.140773i 0.00232210 + 0.00714669i
\(389\) 0.707409 0.150365i 0.0358671 0.00762378i −0.189943 0.981795i \(-0.560830\pi\)
0.225810 + 0.974171i \(0.427497\pi\)
\(390\) 5.25304 10.6393i 0.265998 0.538743i
\(391\) 0.0245409 0.0109263i 0.00124109 0.000552567i
\(392\) 8.00056 + 8.88552i 0.404089 + 0.448787i
\(393\) −27.5548 + 14.4805i −1.38996 + 0.730445i
\(394\) −10.8989 4.85250i −0.549079 0.244466i
\(395\) −26.7009 −1.34347
\(396\) −14.6878 + 7.68720i −0.738089 + 0.386296i
\(397\) 4.08994 0.205268 0.102634 0.994719i \(-0.467273\pi\)
0.102634 + 0.994719i \(0.467273\pi\)
\(398\) −7.01321 3.12248i −0.351540 0.156516i
\(399\) 0.510332 12.8327i 0.0255486 0.642441i
\(400\) 5.68033 + 6.30864i 0.284016 + 0.315432i
\(401\) −5.15812 + 2.29654i −0.257584 + 0.114684i −0.531466 0.847079i \(-0.678359\pi\)
0.273882 + 0.961763i \(0.411692\pi\)
\(402\) 11.6645 0.758940i 0.581770 0.0378525i
\(403\) 25.2009 5.35662i 1.25535 0.266832i
\(404\) 1.05881 + 3.25868i 0.0526777 + 0.162125i
\(405\) −7.04826 + 26.1051i −0.350231 + 1.29717i
\(406\) 5.18012 0.257085
\(407\) 17.5249 11.0279i 0.868677 0.546634i
\(408\) −0.886662 + 0.736713i −0.0438963 + 0.0364727i
\(409\) −0.987666 9.39701i −0.0488369 0.464652i −0.991423 0.130690i \(-0.958281\pi\)
0.942586 0.333962i \(-0.108386\pi\)
\(410\) −9.86414 2.09669i −0.487155 0.103548i
\(411\) −17.5983 + 22.3014i −0.868058 + 1.10005i
\(412\) −0.525386 + 4.99871i −0.0258839 + 0.246269i
\(413\) −2.16276 1.57134i −0.106422 0.0773204i
\(414\) 0.130181 + 0.0708435i 0.00639805 + 0.00348177i
\(415\) 4.60290 + 14.1663i 0.225948 + 0.695395i
\(416\) −19.6648 8.75533i −0.964145 0.429265i
\(417\) 3.48131 + 20.3181i 0.170480 + 0.994981i
\(418\) 8.75220 8.50551i 0.428084 0.416018i
\(419\) −0.0757820 + 0.131258i −0.00370219 + 0.00641238i −0.867871 0.496790i \(-0.834512\pi\)
0.864168 + 0.503203i \(0.167845\pi\)
\(420\) 7.22768 + 7.04762i 0.352675 + 0.343888i
\(421\) 11.3595 12.6160i 0.553630 0.614868i −0.399756 0.916622i \(-0.630905\pi\)
0.953386 + 0.301753i \(0.0975719\pi\)
\(422\) −1.49003 + 4.58585i −0.0725337 + 0.223236i
\(423\) −0.942451 0.280145i −0.0458236 0.0136211i
\(424\) −4.15194 3.01656i −0.201636 0.146497i
\(425\) 1.23747 0.263032i 0.0600261 0.0127589i
\(426\) −0.346686 + 8.71773i −0.0167970 + 0.422375i
\(427\) −1.66580 15.8490i −0.0806135 0.766986i
\(428\) 9.99085 17.3047i 0.482926 0.836453i
\(429\) −20.7247 + 9.18551i −1.00060 + 0.443481i
\(430\) 5.88900 + 10.2000i 0.283993 + 0.491890i
\(431\) 20.5242 14.9117i 0.988618 0.718273i 0.0289998 0.999579i \(-0.490768\pi\)
0.959618 + 0.281307i \(0.0907678\pi\)
\(432\) 10.6813 + 2.43300i 0.513903 + 0.117058i
\(433\) 5.10950 15.7254i 0.245547 0.755716i −0.749999 0.661439i \(-0.769946\pi\)
0.995546 0.0942769i \(-0.0300539\pi\)
\(434\) 0.459123 4.36827i 0.0220386 0.209684i
\(435\) −39.9839 + 2.60153i −1.91708 + 0.124734i
\(436\) −5.79742 6.43868i −0.277646 0.308357i
\(437\) 0.532600 + 0.113208i 0.0254777 + 0.00541545i
\(438\) −2.83858 + 0.799102i −0.135633 + 0.0381825i
\(439\) 19.6207 + 33.9840i 0.936443 + 1.62197i 0.772040 + 0.635574i \(0.219237\pi\)
0.164403 + 0.986393i \(0.447430\pi\)
\(440\) 0.803326 + 21.0930i 0.0382971 + 1.00557i
\(441\) −12.8655 11.0094i −0.612643 0.524259i
\(442\) −0.579580 + 0.421089i −0.0275678 + 0.0200292i
\(443\) 21.5389 23.9214i 1.02334 1.13654i 0.0327827 0.999463i \(-0.489563\pi\)
0.990561 0.137075i \(-0.0437703\pi\)
\(444\) −17.8288 2.59374i −0.846117 0.123093i
\(445\) 5.84239 2.60120i 0.276956 0.123309i
\(446\) −0.202515 + 0.0901657i −0.00958939 + 0.00426947i
\(447\) 7.76739 + 1.13000i 0.367385 + 0.0534473i
\(448\) 0.829451 0.921199i 0.0391879 0.0435226i
\(449\) 20.9085 15.1909i 0.986731 0.716902i 0.0275281 0.999621i \(-0.491236\pi\)
0.959203 + 0.282719i \(0.0912364\pi\)
\(450\) 5.30318 + 4.53810i 0.249994 + 0.213928i
\(451\) 11.9096 + 15.1447i 0.560799 + 0.713134i
\(452\) 16.0178 + 27.7437i 0.753415 + 1.30495i
\(453\) 4.88647 1.37561i 0.229586 0.0646318i
\(454\) −10.1813 2.16410i −0.477831 0.101566i
\(455\) 9.23679 + 10.2585i 0.433027 + 0.480926i
\(456\) −23.3167 + 1.51709i −1.09191 + 0.0710441i
\(457\) 1.32921 12.6466i 0.0621780 0.591584i −0.918427 0.395590i \(-0.870540\pi\)
0.980605 0.195994i \(-0.0627932\pi\)
\(458\) 2.39760 7.37904i 0.112032 0.344800i
\(459\) 1.10991 1.19725i 0.0518063 0.0558830i
\(460\) −0.346255 + 0.251569i −0.0161442 + 0.0117295i
\(461\) 9.51087 + 16.4733i 0.442965 + 0.767238i 0.997908 0.0646502i \(-0.0205932\pi\)
−0.554943 + 0.831889i \(0.687260\pi\)
\(462\) 0.397512 + 3.84420i 0.0184939 + 0.178849i
\(463\) 11.4334 19.8032i 0.531353 0.920331i −0.467977 0.883741i \(-0.655017\pi\)
0.999330 0.0365903i \(-0.0116497\pi\)
\(464\) 1.69684 + 16.1443i 0.0787738 + 0.749482i
\(465\) −1.35005 + 33.9481i −0.0626069 + 1.57430i
\(466\) 1.90448 0.404810i 0.0882233 0.0187524i
\(467\) −12.8819 9.35921i −0.596101 0.433093i 0.248392 0.968660i \(-0.420098\pi\)
−0.844493 + 0.535567i \(0.820098\pi\)
\(468\) 18.9069 + 5.62012i 0.873973 + 0.259790i
\(469\) −4.20232 + 12.9334i −0.194045 + 0.597210i
\(470\) −0.380700 + 0.422810i −0.0175604 + 0.0195028i
\(471\) −22.3882 21.8305i −1.03159 1.00589i
\(472\) −2.43188 + 4.21215i −0.111936 + 0.193880i
\(473\) 3.83737 22.1723i 0.176443 1.01948i
\(474\) 1.50206 + 8.76655i 0.0689920 + 0.402661i
\(475\) 23.4259 + 10.4299i 1.07486 + 0.478556i
\(476\) −0.188347 0.579671i −0.00863285 0.0265692i
\(477\) 6.38400 + 3.47412i 0.292303 + 0.159069i
\(478\) 10.8436 + 7.87832i 0.495973 + 0.360346i
\(479\) 1.71322 16.3002i 0.0782789 0.744774i −0.883033 0.469311i \(-0.844502\pi\)
0.961312 0.275463i \(-0.0888311\pi\)
\(480\) 17.5843 22.2837i 0.802609 1.01711i
\(481\) −24.0979 5.12217i −1.09877 0.233551i
\(482\) −0.915880 8.71402i −0.0417172 0.396913i
\(483\) −0.132620 + 0.110192i −0.00603442 + 0.00501391i
\(484\) 11.1920 14.5133i 0.508728 0.659694i
\(485\) −0.266911 −0.0121198
\(486\) 8.96742 + 0.845568i 0.406771 + 0.0383558i
\(487\) 7.04142 + 21.6713i 0.319077 + 0.982019i 0.974044 + 0.226361i \(0.0726828\pi\)
−0.654966 + 0.755658i \(0.727317\pi\)
\(488\) −28.3605 + 6.02821i −1.28382 + 0.272884i
\(489\) −10.0653 + 0.654890i −0.455167 + 0.0296151i
\(490\) −8.95145 + 3.98544i −0.404385 + 0.180044i
\(491\) −29.2029 32.4331i −1.31791 1.46368i −0.788071 0.615584i \(-0.788920\pi\)
−0.529836 0.848100i \(-0.677747\pi\)
\(492\) 0.666143 16.7507i 0.0300320 0.755181i
\(493\) 2.21006 + 0.983982i 0.0995360 + 0.0443163i
\(494\) −14.5209 −0.653324
\(495\) −4.99890 29.4728i −0.224684 1.32470i
\(496\) 13.7645 0.618045
\(497\) −9.27261 4.12843i −0.415933 0.185185i
\(498\) 4.39219 2.30817i 0.196819 0.103431i
\(499\) −13.4519 14.9398i −0.602189 0.668798i 0.362563 0.931959i \(-0.381902\pi\)
−0.964752 + 0.263161i \(0.915235\pi\)
\(500\) 4.45142 1.98190i 0.199074 0.0886333i
\(501\) 3.85070 7.79906i 0.172037 0.348436i
\(502\) 0.329111 0.0699546i 0.0146889 0.00312223i
\(503\) −3.27815 10.0891i −0.146165 0.449850i 0.850994 0.525176i \(-0.176000\pi\)
−0.997159 + 0.0753254i \(0.976000\pi\)
\(504\) 4.19681 6.09393i 0.186941 0.271445i
\(505\) −6.17856 −0.274942
\(506\) −0.163487 0.0109131i −0.00726791 0.000485148i
\(507\) 4.17919 + 1.54405i 0.185604 + 0.0685736i
\(508\) −2.29592 21.8442i −0.101865 0.969179i
\(509\) 43.4966 + 9.24549i 1.92795 + 0.409799i 0.999239 + 0.0390051i \(0.0124189\pi\)
0.928715 + 0.370794i \(0.120914\pi\)
\(510\) −0.349654 0.877630i −0.0154829 0.0388621i
\(511\) 0.358610 3.41195i 0.0158640 0.150936i
\(512\) −16.5301 12.0098i −0.730534 0.530764i
\(513\) 32.4645 6.40930i 1.43334 0.282977i
\(514\) −1.95899 6.02915i −0.0864073 0.265934i
\(515\) −8.27992 3.68646i −0.364857 0.162445i
\(516\) −15.0592 + 12.5125i −0.662946 + 0.550831i
\(517\) 1.07591 0.154679i 0.0473187 0.00680275i
\(518\) −2.10004 + 3.63738i −0.0922707 + 0.159817i
\(519\) 25.9921 7.31715i 1.14093 0.321187i
\(520\) 16.8052 18.6641i 0.736956 0.818473i
\(521\) 5.23819 16.1215i 0.229489 0.706296i −0.768315 0.640071i \(-0.778905\pi\)
0.997805 0.0662243i \(-0.0210953\pi\)
\(522\) 3.10344 + 12.9813i 0.135834 + 0.568177i
\(523\) −24.4438 17.7595i −1.06885 0.776567i −0.0931472 0.995652i \(-0.529693\pi\)
−0.975706 + 0.219085i \(0.929693\pi\)
\(524\) −29.2890 + 6.22557i −1.27950 + 0.271965i
\(525\) −7.18814 + 3.77748i −0.313716 + 0.164863i
\(526\) 0.869448 + 8.27225i 0.0379098 + 0.360687i
\(527\) 1.02565 1.77648i 0.0446780 0.0773845i
\(528\) −11.8506 + 2.49812i −0.515732 + 0.108717i
\(529\) 11.4963 + 19.9123i 0.499841 + 0.865750i
\(530\) 3.40255 2.47210i 0.147797 0.107381i
\(531\) 2.64203 6.36125i 0.114654 0.276055i
\(532\) 3.81763 11.7495i 0.165515 0.509404i
\(533\) 2.39617 22.7980i 0.103790 0.987491i
\(534\) −1.18270 1.77187i −0.0511805 0.0766761i
\(535\) 24.1099 + 26.7768i 1.04236 + 1.15766i
\(536\) 24.2010 + 5.14409i 1.04533 + 0.222191i
\(537\) 3.01093 11.8319i 0.129931 0.510584i
\(538\) −0.141268 0.244683i −0.00609050 0.0105491i
\(539\) 18.0112 + 5.10310i 0.775799 + 0.219806i
\(540\) −13.3311 + 22.3348i −0.573680 + 0.961136i
\(541\) −9.57164 + 6.95421i −0.411517 + 0.298985i −0.774216 0.632922i \(-0.781855\pi\)
0.362699 + 0.931906i \(0.381855\pi\)
\(542\) 8.48229 9.42053i 0.364345 0.404647i
\(543\) 1.60117 + 4.01892i 0.0687126 + 0.172469i
\(544\) −1.56569 + 0.697091i −0.0671285 + 0.0298875i
\(545\) 14.2727 6.35461i 0.611375 0.272202i
\(546\) 2.84849 3.60975i 0.121904 0.154483i
\(547\) 1.70348 1.89190i 0.0728355 0.0808920i −0.705626 0.708585i \(-0.749334\pi\)
0.778461 + 0.627693i \(0.216001\pi\)
\(548\) −22.1084 + 16.0627i −0.944424 + 0.686164i
\(549\) 38.7194 13.6697i 1.65251 0.583409i
\(550\) −7.42425 2.10350i −0.316571 0.0896937i
\(551\) 24.5177 + 42.4659i 1.04449 + 1.80911i
\(552\) 0.224604 + 0.219008i 0.00955976 + 0.00932160i
\(553\) −10.1214 2.15137i −0.430407 0.0914857i
\(554\) 1.10945 + 1.23217i 0.0471360 + 0.0523498i
\(555\) 14.3829 29.1307i 0.610522 1.23653i
\(556\) −2.07276 + 19.7210i −0.0879048 + 0.836358i
\(557\) 2.98987 9.20189i 0.126685 0.389896i −0.867519 0.497404i \(-0.834287\pi\)
0.994204 + 0.107507i \(0.0342868\pi\)
\(558\) 11.2219 1.46650i 0.475061 0.0620819i
\(559\) −21.6599 + 15.7368i −0.916117 + 0.665598i
\(560\) 3.68748 + 6.38690i 0.155824 + 0.269896i
\(561\) −0.560625 + 1.71561i −0.0236696 + 0.0724331i
\(562\) −5.25175 + 9.09630i −0.221532 + 0.383704i
\(563\) 2.50735 + 23.8558i 0.105672 + 1.00540i 0.910953 + 0.412510i \(0.135348\pi\)
−0.805281 + 0.592893i \(0.797986\pi\)
\(564\) −0.799639 0.505068i −0.0336709 0.0212672i
\(565\) −56.5054 + 12.0106i −2.37720 + 0.505290i
\(566\) 9.60027 + 6.97501i 0.403530 + 0.293181i
\(567\) −4.77512 + 9.32766i −0.200536 + 0.391725i
\(568\) −5.70659 + 17.5631i −0.239443 + 0.736930i
\(569\) −25.1721 + 27.9565i −1.05527 + 1.17200i −0.0706111 + 0.997504i \(0.522495\pi\)
−0.984659 + 0.174492i \(0.944172\pi\)
\(570\) 4.72236 18.5572i 0.197798 0.777277i
\(571\) 7.37740 12.7780i 0.308735 0.534744i −0.669351 0.742946i \(-0.733428\pi\)
0.978086 + 0.208202i \(0.0667612\pi\)
\(572\) −21.5844 + 3.10307i −0.902488 + 0.129746i
\(573\) −19.2089 7.09695i −0.802463 0.296479i
\(574\) −3.57023 1.58957i −0.149018 0.0663473i
\(575\) −0.106386 0.327424i −0.00443662 0.0136545i
\(576\) 2.80545 + 1.52670i 0.116894 + 0.0636126i
\(577\) 18.0466 + 13.1116i 0.751289 + 0.545843i 0.896226 0.443598i \(-0.146298\pi\)
−0.144937 + 0.989441i \(0.546298\pi\)
\(578\) 1.02080 9.71227i 0.0424597 0.403977i
\(579\) −11.5638 1.68231i −0.480576 0.0699143i
\(580\) −37.7013 8.01366i −1.56546 0.332749i
\(581\) 0.603385 + 5.74083i 0.0250326 + 0.238170i
\(582\) 0.0150151 + 0.0876332i 0.000622396 + 0.00363251i
\(583\) −8.01732 0.535173i −0.332044 0.0221646i
\(584\) −6.24181 −0.258288
\(585\) −20.1739 + 29.2933i −0.834087 + 1.21113i
\(586\) 0.153568 + 0.472634i 0.00634384 + 0.0195243i
\(587\) 2.44553 0.519814i 0.100938 0.0214550i −0.157166 0.987572i \(-0.550236\pi\)
0.258104 + 0.966117i \(0.416902\pi\)
\(588\) −9.04302 13.5478i −0.372928 0.558703i
\(589\) 37.9836 16.9114i 1.56508 0.696821i
\(590\) −2.66709 2.96210i −0.109802 0.121948i
\(591\) 30.2361 + 19.0978i 1.24375 + 0.785577i
\(592\) −12.0242 5.35351i −0.494190 0.220028i
\(593\) −10.8953 −0.447417 −0.223708 0.974656i \(-0.571816\pi\)
−0.223708 + 0.974656i \(0.571816\pi\)
\(594\) −9.39539 + 3.29925i −0.385498 + 0.135370i
\(595\) 1.09907 0.0450577
\(596\) 6.89767 + 3.07104i 0.282540 + 0.125795i
\(597\) 19.4563 + 12.2890i 0.796294 + 0.502955i
\(598\) 0.130449 + 0.144878i 0.00533445 + 0.00592451i
\(599\) −33.6533 + 14.9834i −1.37504 + 0.612205i −0.955353 0.295466i \(-0.904525\pi\)
−0.419682 + 0.907671i \(0.637858\pi\)
\(600\) 8.20203 + 12.2879i 0.334846 + 0.501651i
\(601\) 15.1166 3.21313i 0.616618 0.131066i 0.110995 0.993821i \(-0.464596\pi\)
0.505623 + 0.862755i \(0.331263\pi\)
\(602\) 1.41047 + 4.34099i 0.0574866 + 0.176925i
\(603\) −34.9287 2.78249i −1.42241 0.113312i
\(604\) 4.88321 0.198695
\(605\) 18.6534 + 27.2813i 0.758368 + 1.10914i
\(606\) 0.347575 + 2.02857i 0.0141193 + 0.0824049i
\(607\) 2.66306 + 25.3373i 0.108090 + 1.02841i 0.905319 + 0.424733i \(0.139632\pi\)
−0.797228 + 0.603678i \(0.793701\pi\)
\(608\) −33.9795 7.22257i −1.37805 0.292914i
\(609\) −15.3662 2.23548i −0.622669 0.0905860i
\(610\) 2.48369 23.6307i 0.100562 0.956781i
\(611\) −1.04630 0.760183i −0.0423289 0.0307537i
\(612\) 1.33981 0.819280i 0.0541587 0.0331174i
\(613\) −11.6728 35.9252i −0.471461 1.45101i −0.850672 0.525697i \(-0.823805\pi\)
0.379211 0.925310i \(-0.376195\pi\)
\(614\) 1.84180 + 0.820023i 0.0743290 + 0.0330934i
\(615\) 28.3559 + 10.4764i 1.14342 + 0.422450i
\(616\) −1.39501 + 8.06037i −0.0562066 + 0.324761i
\(617\) −20.9464 + 36.2802i −0.843271 + 1.46059i 0.0438437 + 0.999038i \(0.486040\pi\)
−0.887115 + 0.461549i \(0.847294\pi\)
\(618\) −0.744564 + 2.92588i −0.0299508 + 0.117696i
\(619\) −4.00783 + 4.45115i −0.161088 + 0.178907i −0.818286 0.574812i \(-0.805075\pi\)
0.657197 + 0.753719i \(0.271742\pi\)
\(620\) −10.0993 + 31.0823i −0.405596 + 1.24830i
\(621\) −0.355594 0.266328i −0.0142695 0.0106874i
\(622\) −5.06974 3.68338i −0.203278 0.147690i
\(623\) 2.42424 0.515288i 0.0971251 0.0206446i
\(624\) 12.1832 + 7.69516i 0.487719 + 0.308053i
\(625\) 3.02291 + 28.7611i 0.120917 + 1.15044i
\(626\) 8.17057 14.1518i 0.326562 0.565621i
\(627\) −29.6329 + 21.4535i −1.18342 + 0.856772i
\(628\) −15.0399 26.0498i −0.600157 1.03950i
\(629\) −1.58690 + 1.15295i −0.0632739 + 0.0459712i
\(630\) 3.68679 + 4.81423i 0.146885 + 0.191803i
\(631\) −6.64368 + 20.4471i −0.264481 + 0.813988i 0.727332 + 0.686286i \(0.240760\pi\)
−0.991813 + 0.127702i \(0.959240\pi\)
\(632\) −1.96786 + 18.7229i −0.0782772 + 0.744758i
\(633\) 6.39902 12.9603i 0.254338 0.515127i
\(634\) −0.430138 0.477717i −0.0170830 0.0189726i
\(635\) 38.7416 + 8.23479i 1.53741 + 0.326788i
\(636\) 5.00568 + 4.88097i 0.198488 + 0.193543i
\(637\) −11.1368 19.2895i −0.441256 0.764278i
\(638\) −9.12129 11.5990i −0.361115 0.459208i
\(639\) 4.79053 25.7104i 0.189510 1.01709i
\(640\) 28.0127 20.3525i 1.10730 0.804501i
\(641\) 8.58963 9.53975i 0.339270 0.376798i −0.549232 0.835670i \(-0.685080\pi\)
0.888502 + 0.458872i \(0.151746\pi\)
\(642\) 7.43514 9.42218i 0.293442 0.371864i
\(643\) 25.9041 11.5332i 1.02156 0.454827i 0.173558 0.984824i \(-0.444473\pi\)
0.848000 + 0.529997i \(0.177807\pi\)
\(644\) −0.151523 + 0.0674625i −0.00597085 + 0.00265839i
\(645\) −13.0672 32.7986i −0.514519 1.29144i
\(646\) −0.773607 + 0.859177i −0.0304372 + 0.0338039i
\(647\) 14.1536 10.2832i 0.556436 0.404274i −0.273717 0.961810i \(-0.588253\pi\)
0.830153 + 0.557536i \(0.188253\pi\)
\(648\) 17.7857 + 6.86625i 0.698687 + 0.269732i
\(649\) 0.289810 + 7.60956i 0.0113760 + 0.298701i
\(650\) 4.59060 + 7.95116i 0.180058 + 0.311870i
\(651\) −3.24705 + 12.7598i −0.127262 + 0.500095i
\(652\) −9.49066 2.01730i −0.371683 0.0790036i
\(653\) −19.6070 21.7758i −0.767282 0.852152i 0.225230 0.974306i \(-0.427687\pi\)
−0.992511 + 0.122153i \(0.961020\pi\)
\(654\) −2.88928 4.32858i −0.112980 0.169261i
\(655\) 5.64400 53.6991i 0.220529 2.09820i
\(656\) 3.78455 11.6477i 0.147762 0.454764i
\(657\) 8.76516 1.14545i 0.341961 0.0446881i
\(658\) −0.178378 + 0.129599i −0.00695388 + 0.00505229i
\(659\) −13.7935 23.8911i −0.537319 0.930664i −0.999047 0.0436422i \(-0.986104\pi\)
0.461728 0.887021i \(-0.347229\pi\)
\(660\) 3.05387 28.5934i 0.118872 1.11300i
\(661\) −14.8776 + 25.7688i −0.578672 + 1.00229i 0.416960 + 0.908925i \(0.363096\pi\)
−0.995632 + 0.0933649i \(0.970238\pi\)
\(662\) 0.747623 + 7.11315i 0.0290572 + 0.276461i
\(663\) 1.90097 0.998992i 0.0738277 0.0387976i
\(664\) 10.2728 2.18354i 0.398660 0.0847378i
\(665\) 18.0228 + 13.0943i 0.698893 + 0.507775i
\(666\) −10.3734 3.08351i −0.401961 0.119484i
\(667\) 0.203437 0.626115i 0.00787711 0.0242433i
\(668\) 5.59853 6.21779i 0.216613 0.240574i
\(669\) 0.639648 0.180070i 0.0247302 0.00696191i
\(670\) −10.1380 + 17.5596i −0.391666 + 0.678385i
\(671\) −32.5548 + 31.6373i −1.25677 + 1.22134i
\(672\) 8.46107 7.03017i 0.326393 0.271195i
\(673\) 8.81907 + 3.92650i 0.339950 + 0.151356i 0.569609 0.821916i \(-0.307094\pi\)
−0.229659 + 0.973271i \(0.573761\pi\)
\(674\) 2.40577 + 7.40418i 0.0926666 + 0.285198i
\(675\) −13.7728 15.7503i −0.530115 0.606229i
\(676\) 3.46724 + 2.51910i 0.133355 + 0.0968883i
\(677\) 0.0102558 0.0975777i 0.000394163 0.00375021i −0.994323 0.106403i \(-0.966067\pi\)
0.994717 + 0.102653i \(0.0327332\pi\)
\(678\) 7.12208 + 17.8764i 0.273522 + 0.686540i
\(679\) −0.101177 0.0215058i −0.00388281 0.000825318i
\(680\) −0.209018 1.98868i −0.00801549 0.0762623i
\(681\) 29.2676 + 10.8132i 1.12153 + 0.414364i
\(682\) −10.5896 + 6.66372i −0.405496 + 0.255167i
\(683\) 30.5246 1.16799 0.583996 0.811756i \(-0.301488\pi\)
0.583996 + 0.811756i \(0.301488\pi\)
\(684\) 31.7312 + 2.52777i 1.21327 + 0.0966517i
\(685\) −15.2277 46.8660i −0.581820 1.79066i
\(686\) −8.32071 + 1.76862i −0.317686 + 0.0675263i
\(687\) −10.2966 + 20.8543i −0.392839 + 0.795642i
\(688\) −13.0671 + 5.81784i −0.498178 + 0.221803i
\(689\) 6.39713 + 7.10473i 0.243711 + 0.270669i
\(690\) −0.227574 + 0.119594i −0.00866358 + 0.00455286i
\(691\) 29.9658 + 13.3416i 1.13995 + 0.507540i 0.887838 0.460157i \(-0.152207\pi\)
0.252116 + 0.967697i \(0.418873\pi\)
\(692\) 25.9748 0.987413
\(693\) 0.479793 11.5749i 0.0182258 0.439694i
\(694\) 5.62741 0.213614
\(695\) −32.6661 14.5439i −1.23910 0.551681i
\(696\) −1.12260 + 28.2288i −0.0425522 + 1.07001i
\(697\) −1.22127 1.35635i −0.0462588 0.0513756i
\(698\) −2.34379 + 1.04352i −0.0887138 + 0.0394979i
\(699\) −5.82410 + 0.378941i −0.220288 + 0.0143329i
\(700\) −7.64053 + 1.62405i −0.288785 + 0.0613831i
\(701\) −2.70365 8.32098i −0.102115 0.314279i 0.886927 0.461909i \(-0.152835\pi\)
−0.989043 + 0.147630i \(0.952835\pi\)
\(702\) 10.7526 + 4.97567i 0.405829 + 0.187795i
\(703\) −39.7584 −1.49952
\(704\) −3.52321 0.235181i −0.132786 0.00886373i
\(705\) 1.31176 1.08992i 0.0494039 0.0410489i
\(706\) −1.96435 18.6895i −0.0739293 0.703390i
\(707\) −2.34208 0.497825i −0.0880831 0.0187226i
\(708\) 4.10457 5.20151i 0.154259 0.195485i
\(709\) −2.79884 + 26.6292i −0.105113 + 1.00008i 0.807114 + 0.590395i \(0.201028\pi\)
−0.912227 + 0.409685i \(0.865639\pi\)
\(710\) −12.2435 8.89542i −0.459490 0.333839i
\(711\) −0.672486 26.6531i −0.0252202 0.999569i
\(712\) −1.39340 4.28845i −0.0522199 0.160716i
\(713\) −0.509956 0.227047i −0.0190980 0.00850298i
\(714\) −0.0618286 0.360852i −0.00231388 0.0135046i
\(715\) 6.70577 38.7459i 0.250781 1.44901i
\(716\) 5.87217 10.1709i 0.219453 0.380105i
\(717\) −28.7662 28.0496i −1.07429 1.04753i
\(718\) −10.7368 + 11.9244i −0.400694 + 0.445016i
\(719\) −4.63672 + 14.2703i −0.172920 + 0.532194i −0.999532 0.0305782i \(-0.990265\pi\)
0.826612 + 0.562772i \(0.190265\pi\)
\(720\) −13.7963 + 13.0672i −0.514159 + 0.486987i
\(721\) −2.84161 2.06455i −0.105827 0.0768879i
\(722\) −12.1834 + 2.58965i −0.453418 + 0.0963769i
\(723\) −1.04368 + 26.2443i −0.0388150 + 0.976036i
\(724\) 0.434995 + 4.13870i 0.0161665 + 0.153814i
\(725\) 15.5020 26.8502i 0.575730 0.997193i
\(726\) 7.90774 7.65906i 0.293484 0.284254i
\(727\) −13.7663 23.8438i −0.510562 0.884319i −0.999925 0.0122391i \(-0.996104\pi\)
0.489363 0.872080i \(-0.337229\pi\)
\(728\) 7.87410 5.72087i 0.291834 0.212029i
\(729\) −26.2358 6.37816i −0.971698 0.236228i
\(730\) 1.58069 4.86486i 0.0585039 0.180057i
\(731\) −0.222818 + 2.11997i −0.00824123 + 0.0784101i
\(732\) 39.4156 2.56455i 1.45684 0.0947883i
\(733\) 31.9441 + 35.4775i 1.17988 + 1.31039i 0.940630 + 0.339433i \(0.110235\pi\)
0.239251 + 0.970958i \(0.423098\pi\)
\(734\) −0.662509 0.140821i −0.0244536 0.00519778i
\(735\) 28.2733 7.95932i 1.04287 0.293584i
\(736\) 0.233195 + 0.403906i 0.00859570 + 0.0148882i
\(737\) 36.3593 13.3640i 1.33931 0.492267i
\(738\) 1.84450 9.89928i 0.0678968 0.364398i
\(739\) −1.20421 + 0.874910i −0.0442976 + 0.0321841i −0.609714 0.792622i \(-0.708716\pi\)
0.565416 + 0.824806i \(0.308716\pi\)
\(740\) 20.9113 23.2244i 0.768716 0.853746i
\(741\) 43.0743 + 6.26646i 1.58237 + 0.230204i
\(742\) 1.48898 0.662935i 0.0546620 0.0243371i
\(743\) −16.5901 + 7.38641i −0.608633 + 0.270981i −0.687823 0.725879i \(-0.741433\pi\)
0.0791896 + 0.996860i \(0.474767\pi\)
\(744\) 23.7052 + 3.44864i 0.869074 + 0.126433i
\(745\) −9.11035 + 10.1181i −0.333778 + 0.370698i
\(746\) −10.1751 + 7.39264i −0.372537 + 0.270664i
\(747\) −14.0250 + 4.95145i −0.513147 + 0.181164i
\(748\) −0.966316 + 1.44243i −0.0353320 + 0.0527406i
\(749\) 6.98177 + 12.0928i 0.255108 + 0.441860i
\(750\) 2.81738 0.793132i 0.102876 0.0289611i
\(751\) 4.29862 + 0.913700i 0.156859 + 0.0333414i 0.285672 0.958328i \(-0.407783\pi\)
−0.128813 + 0.991669i \(0.541117\pi\)
\(752\) −0.462338 0.513479i −0.0168597 0.0187246i
\(753\) −1.00645 + 0.0654843i −0.0366773 + 0.00238638i
\(754\) −1.83518 + 17.4605i −0.0668332 + 0.635875i
\(755\) −2.72107 + 8.37459i −0.0990299 + 0.304783i
\(756\) −6.85295 + 7.39223i −0.249240 + 0.268853i
\(757\) 11.1369 8.09140i 0.404776 0.294087i −0.366708 0.930336i \(-0.619515\pi\)
0.771483 + 0.636249i \(0.219515\pi\)
\(758\) 4.69382 + 8.12993i 0.170487 + 0.295292i
\(759\) 0.480256 + 0.102925i 0.0174322 + 0.00373595i
\(760\) 20.2655 35.1008i 0.735105 1.27324i
\(761\) 3.25147 + 30.9357i 0.117866 + 1.12142i 0.880321 + 0.474378i \(0.157327\pi\)
−0.762456 + 0.647041i \(0.776006\pi\)
\(762\) 0.524263 13.1830i 0.0189920 0.477571i
\(763\) 5.92230 1.25882i 0.214402 0.0455725i
\(764\) −15.9365 11.5786i −0.576564 0.418898i
\(765\) 0.658463 + 2.75427i 0.0238068 + 0.0995809i
\(766\) 1.10585 3.40344i 0.0399558 0.122971i
\(767\) 6.06268 6.73329i 0.218911 0.243125i
\(768\) −5.61752 5.47757i −0.202705 0.197655i
\(769\) −10.9677 + 18.9966i −0.395504 + 0.685034i −0.993165 0.116715i \(-0.962764\pi\)
0.597661 + 0.801749i \(0.296097\pi\)
\(770\) −5.92897 3.12850i −0.213665 0.112743i
\(771\) 3.20922 + 18.7301i 0.115577 + 0.674549i
\(772\) −10.2690 4.57206i −0.369590 0.164552i
\(773\) −3.92965 12.0942i −0.141340 0.434999i 0.855182 0.518327i \(-0.173445\pi\)
−0.996522 + 0.0833281i \(0.973445\pi\)
\(774\) −10.0335 + 6.13535i −0.360645 + 0.220530i
\(775\) −21.2682 15.4522i −0.763976 0.555061i
\(776\) −0.0196714 + 0.187160i −0.000706160 + 0.00671867i
\(777\) 7.79923 9.88358i 0.279796 0.354571i
\(778\) 0.408750 + 0.0868824i 0.0146544 + 0.00311489i
\(779\) −3.86697 36.7918i −0.138549 1.31820i
\(780\) −26.3158 + 21.8654i −0.942258 + 0.782908i
\(781\) 7.08334 + 28.0321i 0.253462 + 1.00307i
\(782\) 0.0155220 0.000555064
\(783\) −3.60390 39.8468i −0.128793 1.42401i
\(784\) −3.67724 11.3174i −0.131330 0.404193i
\(785\) 53.0556 11.2773i 1.89363 0.402504i
\(786\) −17.9482 + 1.16779i −0.640191 + 0.0416536i
\(787\) −15.7693 + 7.02095i −0.562115 + 0.250270i −0.668067 0.744102i \(-0.732878\pi\)
0.105951 + 0.994371i \(0.466211\pi\)
\(788\) 23.0190 + 25.5652i 0.820018 + 0.910722i
\(789\) 0.990772 24.9138i 0.0352724 0.886955i
\(790\) −14.0943 6.27518i −0.501452 0.223261i
\(791\) −22.3870 −0.795991
\(792\) −21.0350 + 1.33313i −0.747445 + 0.0473708i
\(793\) 54.0120 1.91802
\(794\) 2.15890 + 0.961206i 0.0766166 + 0.0341119i
\(795\) −11.1601 + 5.86480i −0.395807 + 0.208003i
\(796\) 14.8122 + 16.4507i 0.525006 + 0.583078i
\(797\) 32.1582 14.3177i 1.13910 0.507161i 0.251538 0.967847i \(-0.419064\pi\)
0.887563 + 0.460687i \(0.152397\pi\)
\(798\) 3.28530 6.65393i 0.116298 0.235546i
\(799\) −0.100721 + 0.0214090i −0.00356326 + 0.000757395i
\(800\) 6.78739 + 20.8894i 0.239970 + 0.738553i
\(801\) 2.74369 + 5.76641i 0.0969434 + 0.203746i
\(802\) −3.26248 −0.115202
\(803\) −8.27126 + 5.20487i −0.291887 + 0.183676i
\(804\) −31.6170 11.6812i −1.11504 0.411966i
\(805\) −0.0312634 0.297451i −0.00110189 0.0104838i
\(806\) 14.5614 + 3.09512i 0.512903 + 0.109021i
\(807\) 0.313461 + 0.786787i 0.0110344 + 0.0276962i
\(808\) −0.455360 + 4.33246i −0.0160195 + 0.152415i
\(809\) 15.4367 + 11.2154i 0.542725 + 0.394313i 0.825096 0.564992i \(-0.191121\pi\)
−0.282371 + 0.959305i \(0.591121\pi\)
\(810\) −9.85563 + 12.1233i −0.346291 + 0.425970i
\(811\) −9.59769 29.5387i −0.337020 1.03724i −0.965718 0.259593i \(-0.916412\pi\)
0.628698 0.777650i \(-0.283588\pi\)
\(812\) −13.6456 6.07542i −0.478867 0.213205i
\(813\) −29.2271 + 24.2843i −1.02504 + 0.851688i
\(814\) 11.8424 1.70252i 0.415076 0.0596733i
\(815\) 8.74810 15.1522i 0.306433 0.530757i
\(816\) 1.10438 0.310898i 0.0386610 0.0108836i
\(817\) −28.9110 + 32.1090i −1.01147 + 1.12335i
\(818\) 1.68711 5.19240i 0.0589885 0.181548i
\(819\) −10.0075 + 9.47861i −0.349690 + 0.331209i
\(820\) 23.5253 + 17.0922i 0.821540 + 0.596884i
\(821\) −33.2653 + 7.07077i −1.16097 + 0.246771i −0.747826 0.663895i \(-0.768902\pi\)
−0.413143 + 0.910666i \(0.635569\pi\)
\(822\) −14.5306 + 7.63607i −0.506813 + 0.266338i
\(823\) −1.62605 15.4708i −0.0566804 0.539278i −0.985612 0.169026i \(-0.945938\pi\)
0.928931 0.370252i \(-0.120729\pi\)
\(824\) −3.19521 + 5.53426i −0.111310 + 0.192795i
\(825\) 21.1154 + 9.44371i 0.735143 + 0.328788i
\(826\) −0.772337 1.33773i −0.0268730 0.0465455i
\(827\) −12.9667 + 9.42084i −0.450895 + 0.327595i −0.789949 0.613172i \(-0.789893\pi\)
0.339054 + 0.940767i \(0.389893\pi\)
\(828\) −0.259839 0.339299i −0.00903003 0.0117914i
\(829\) 5.90205 18.1646i 0.204987 0.630884i −0.794727 0.606967i \(-0.792386\pi\)
0.999714 0.0239173i \(-0.00761382\pi\)
\(830\) −0.899644 + 8.55954i −0.0312271 + 0.297106i
\(831\) −2.75930 4.13386i −0.0957191 0.143402i
\(832\) 2.81122 + 3.12217i 0.0974614 + 0.108242i
\(833\) −1.73465 0.368711i −0.0601021 0.0127751i
\(834\) −2.93747 + 11.5432i −0.101716 + 0.399709i
\(835\) 7.54371 + 13.0661i 0.261061 + 0.452171i
\(836\) −33.0308 + 12.1406i −1.14240 + 0.419891i
\(837\) −33.9213 0.492616i −1.17249 0.0170273i
\(838\) −0.0708501 + 0.0514756i −0.00244747 + 0.00177819i
\(839\) 0.995613 1.10574i 0.0343724 0.0381744i −0.725713 0.687997i \(-0.758490\pi\)
0.760086 + 0.649823i \(0.225157\pi\)
\(840\) 4.75035 + 11.9234i 0.163903 + 0.411395i
\(841\) 27.6687 12.3189i 0.954095 0.424790i
\(842\) 8.96121 3.98979i 0.308824 0.137497i
\(843\) 19.5042 24.7167i 0.671759 0.851287i
\(844\) 9.30353 10.3326i 0.320241 0.355663i
\(845\) −6.25224 + 4.54252i −0.215084 + 0.156267i
\(846\) −0.431641 0.369369i −0.0148401 0.0126992i
\(847\) 4.87274 + 11.8444i 0.167429 + 0.406977i
\(848\) 2.55384 + 4.42338i 0.0876993 + 0.151900i
\(849\) −25.4680 24.8335i −0.874058 0.852283i
\(850\) 0.715025 + 0.151983i 0.0245252 + 0.00521298i
\(851\) 0.357172 + 0.396680i 0.0122437 + 0.0135980i
\(852\) 11.1377 22.5579i 0.381571 0.772820i
\(853\) −3.95139 + 37.5950i −0.135293 + 1.28723i 0.690532 + 0.723302i \(0.257376\pi\)
−0.825825 + 0.563926i \(0.809290\pi\)
\(854\) 2.84548 8.75750i 0.0973704 0.299675i
\(855\) −22.0167 + 53.0098i −0.752954 + 1.81290i
\(856\) 20.5530 14.9326i 0.702487 0.510387i
\(857\) −9.91348 17.1706i −0.338638 0.586538i 0.645539 0.763727i \(-0.276633\pi\)
−0.984177 + 0.177189i \(0.943300\pi\)
\(858\) −13.0984 0.0220111i −0.447173 0.000751447i
\(859\) 7.85764 13.6098i 0.268099 0.464362i −0.700272 0.713876i \(-0.746938\pi\)
0.968371 + 0.249515i \(0.0802711\pi\)
\(860\) −3.55001 33.7761i −0.121054 1.15175i
\(861\) 9.90466 + 6.25598i 0.337550 + 0.213203i
\(862\) 14.3384 3.04772i 0.488368 0.103806i
\(863\) −6.57548 4.77736i −0.223832 0.162623i 0.470218 0.882550i \(-0.344175\pi\)
−0.694050 + 0.719927i \(0.744175\pi\)
\(864\) 22.6866 + 16.9916i 0.771815 + 0.578064i
\(865\) −14.4739 + 44.5462i −0.492128 + 1.51462i
\(866\) 6.39284 7.09997i 0.217237 0.241267i
\(867\) −7.21940 + 28.3697i −0.245184 + 0.963486i
\(868\) −6.33269 + 10.9685i −0.214945 + 0.372296i
\(869\) 13.0049 + 26.4514i 0.441159 + 0.897303i
\(870\) −21.7172 8.02368i −0.736283 0.272028i
\(871\) −42.1057 18.7467i −1.42670 0.635206i
\(872\) −3.40401 10.4765i −0.115274 0.354778i
\(873\) −0.00672238 0.266433i −0.000227518 0.00901739i
\(874\) 0.254531 + 0.184928i 0.00860964 + 0.00625527i
\(875\) −0.355931 + 3.38646i −0.0120327 + 0.114483i
\(876\) 8.41469 + 1.22417i 0.284306 + 0.0413609i
\(877\) 2.47817 + 0.526750i 0.0836817 + 0.0177871i 0.249562 0.968359i \(-0.419713\pi\)
−0.165881 + 0.986146i \(0.553047\pi\)
\(878\) 2.37009 + 22.5499i 0.0799867 + 0.761022i
\(879\) −0.251576 1.46828i −0.00848544 0.0495239i
\(880\) 7.80812 19.5030i 0.263212 0.657446i
\(881\) −47.4109 −1.59731 −0.798657 0.601786i \(-0.794456\pi\)
−0.798657 + 0.601786i \(0.794456\pi\)
\(882\) −4.20375 8.83503i −0.141548 0.297491i
\(883\) 8.19295 + 25.2153i 0.275715 + 0.848563i 0.989029 + 0.147719i \(0.0471930\pi\)
−0.713315 + 0.700844i \(0.752807\pi\)
\(884\) 2.02061 0.429495i 0.0679606 0.0144455i
\(885\) 6.63329 + 9.93768i 0.222976 + 0.334051i
\(886\) 16.9914 7.56506i 0.570837 0.254153i
\(887\) −32.0041 35.5441i −1.07459 1.19345i −0.980219 0.197918i \(-0.936582\pi\)
−0.0943729 0.995537i \(-0.530085\pi\)
\(888\) −19.3667 12.2324i −0.649903 0.410492i
\(889\) 14.0221 + 6.24306i 0.470288 + 0.209386i
\(890\) 3.69528 0.123866
\(891\) 29.2941 5.73224i 0.981388 0.192037i
\(892\) 0.639221 0.0214027
\(893\) −1.90671 0.848920i −0.0638055 0.0284080i
\(894\) 3.83451 + 2.42195i 0.128245 + 0.0810022i
\(895\) 14.1707 + 15.7382i 0.473675 + 0.526069i
\(896\) 12.2585 5.45786i 0.409529 0.182334i
\(897\) −0.324438 0.486058i −0.0108327 0.0162290i
\(898\) 14.6068 3.10477i 0.487435 0.103608i
\(899\) −15.5345 47.8104i −0.518106 1.59457i
\(900\) −8.64734 18.1741i −0.288245 0.605804i
\(901\) 0.761187 0.0253588
\(902\) 2.72730 + 10.7932i 0.0908090 + 0.359373i
\(903\) −2.31064 13.4857i −0.0768933 0.448776i
\(904\) 4.25749 + 40.5073i 0.141602 + 1.34725i
\(905\) −7.34017 1.56020i −0.243995 0.0518628i
\(906\) 2.90265 + 0.422279i 0.0964342 + 0.0140293i
\(907\) −4.96075 + 47.1984i −0.164719 + 1.56720i 0.530052 + 0.847965i \(0.322172\pi\)
−0.694771 + 0.719231i \(0.744494\pi\)
\(908\) 24.2817 + 17.6417i 0.805815 + 0.585459i
\(909\) −0.155612 6.16749i −0.00516133 0.204563i
\(910\) 2.46479 + 7.58583i 0.0817068 + 0.251468i
\(911\) −25.9741 11.5644i −0.860561 0.383147i −0.0714850 0.997442i \(-0.522774\pi\)
−0.789076 + 0.614295i \(0.789440\pi\)
\(912\) 21.8138 + 8.05935i 0.722326 + 0.266872i
\(913\) 11.7920 11.4597i 0.390259 0.379259i
\(914\) 3.67381 6.36322i 0.121519 0.210477i
\(915\) −17.5654 + 69.0258i −0.580694 + 2.28192i
\(916\) −14.9702 + 16.6261i −0.494629 + 0.549342i
\(917\) 6.46615 19.9008i 0.213531 0.657181i
\(918\) 0.867251 0.371131i 0.0286236 0.0122491i
\(919\) −31.0442 22.5550i −1.02406 0.744020i −0.0569449 0.998377i \(-0.518136\pi\)
−0.967110 + 0.254358i \(0.918136\pi\)
\(920\) −0.532265 + 0.113136i −0.0175483 + 0.00373000i
\(921\) −5.10959 3.22732i −0.168367 0.106344i
\(922\) 1.14887 + 10.9308i 0.0378361 + 0.359986i
\(923\) 17.2007 29.7924i 0.566167 0.980629i
\(924\) 3.46147 10.5927i 0.113874 0.348475i
\(925\) 12.5692 + 21.7704i 0.413272 + 0.715808i
\(926\) 10.6893 7.76621i 0.351271 0.255214i
\(927\) 3.47132 8.35794i 0.114013 0.274511i
\(928\) −12.9791 + 39.9457i −0.426061 + 1.31128i
\(929\) −1.39939 + 13.3143i −0.0459126 + 0.436829i 0.947285 + 0.320391i \(0.103814\pi\)
−0.993198 + 0.116438i \(0.962852\pi\)
\(930\) −8.69102 + 17.6025i −0.284990 + 0.577207i
\(931\) −24.0522 26.7127i −0.788280 0.875473i
\(932\) −5.49160 1.16728i −0.179883 0.0382354i
\(933\) 13.4492 + 13.1141i 0.440307 + 0.429338i
\(934\) −4.60021 7.96779i −0.150523 0.260714i
\(935\) −1.93528 2.46098i −0.0632905 0.0804826i
\(936\) 19.0539 + 16.3050i 0.622795 + 0.532946i
\(937\) 19.9588 14.5010i 0.652027 0.473725i −0.211934 0.977284i \(-0.567976\pi\)
0.863961 + 0.503559i \(0.167976\pi\)
\(938\) −5.25781 + 5.83939i −0.171674 + 0.190663i
\(939\) −30.3442 + 38.4537i −0.990245 + 1.25489i
\(940\) 1.49874 0.667281i 0.0488834 0.0217643i
\(941\) 7.58453 3.37685i 0.247249 0.110082i −0.279371 0.960183i \(-0.590126\pi\)
0.526620 + 0.850101i \(0.323459\pi\)
\(942\) −6.68725 16.7850i −0.217883 0.546885i
\(943\) −0.332341 + 0.369103i −0.0108225 + 0.0120196i
\(944\) 3.91616 2.84526i 0.127460 0.0926053i
\(945\) −8.85883 15.8718i −0.288178 0.516311i
\(946\) 7.23646 10.8020i 0.235278 0.351202i
\(947\) −18.9748 32.8653i −0.616598 1.06798i −0.990102 0.140351i \(-0.955177\pi\)
0.373503 0.927629i \(-0.378156\pi\)
\(948\) 6.32493 24.8548i 0.205424 0.807245i
\(949\) 11.3735 + 2.41752i 0.369201 + 0.0784761i
\(950\) 9.91435 + 11.0110i 0.321664 + 0.357244i
\(951\) 1.06979 + 1.60271i 0.0346904 + 0.0519715i
\(952\) 0.0810019 0.770681i 0.00262529 0.0249779i
\(953\) −15.0400 + 46.2884i −0.487194 + 1.49943i 0.341583 + 0.939852i \(0.389037\pi\)
−0.828778 + 0.559578i \(0.810963\pi\)
\(954\) 2.55336 + 3.33419i 0.0826682 + 0.107948i
\(955\) 28.7373 20.8789i 0.929918 0.675625i
\(956\) −19.3245 33.4710i −0.624998 1.08253i
\(957\) 22.0516 + 38.3432i 0.712828 + 1.23946i
\(958\) 4.73516 8.20154i 0.152986 0.264980i
\(959\) −1.99617 18.9923i −0.0644596 0.613292i
\(960\) −4.90429 + 2.57728i −0.158285 + 0.0831815i
\(961\) −11.3716 + 2.41712i −0.366827 + 0.0779716i
\(962\) −11.5165 8.36721i −0.371306 0.269770i
\(963\) −26.1216 + 24.7411i −0.841756 + 0.797271i
\(964\) −7.80746 + 24.0289i −0.251461 + 0.773918i
\(965\) 13.5632 15.0634i 0.436614 0.484909i
\(966\) −0.0959015 + 0.0269976i −0.00308558 + 0.000868635i
\(967\) −5.48901 + 9.50724i −0.176515 + 0.305732i −0.940684 0.339283i \(-0.889816\pi\)
0.764170 + 0.645015i \(0.223149\pi\)
\(968\) 20.5046 11.0693i 0.659044 0.355781i
\(969\) 2.66559 2.21479i 0.0856309 0.0711494i
\(970\) −0.140891 0.0627287i −0.00452374 0.00201410i
\(971\) 4.03687 + 12.4242i 0.129549 + 0.398712i 0.994702 0.102796i \(-0.0327789\pi\)
−0.865153 + 0.501508i \(0.832779\pi\)
\(972\) −22.6305 12.7447i −0.725874 0.408787i
\(973\) −11.2108 8.14510i −0.359401 0.261120i
\(974\) −1.37626 + 13.0942i −0.0440981 + 0.419565i
\(975\) −10.1861 25.5672i −0.326217 0.818805i
\(976\) 28.2257 + 5.99955i 0.903482 + 0.192041i
\(977\) 1.15779 + 11.0156i 0.0370410 + 0.352421i 0.997307 + 0.0733360i \(0.0233645\pi\)
−0.960266 + 0.279085i \(0.909969\pi\)
\(978\) −5.46694 2.01982i −0.174813 0.0645869i
\(979\) −5.42247 4.52087i −0.173303 0.144488i
\(980\) 28.2544 0.902554
\(981\) 6.70270 + 14.0871i 0.214001 + 0.449766i
\(982\) −7.79262 23.9832i −0.248673 0.765336i
\(983\) 25.8539 5.49541i 0.824611 0.175277i 0.223767 0.974643i \(-0.428165\pi\)
0.600844 + 0.799366i \(0.294831\pi\)
\(984\) 9.43600 19.1113i 0.300809 0.609247i
\(985\) −56.6706 + 25.2314i −1.80568 + 0.803938i
\(986\) 0.935344 + 1.03880i 0.0297874 + 0.0330823i
\(987\) 0.585063 0.307460i 0.0186228 0.00978657i
\(988\) 38.2512 + 17.0305i 1.21693 + 0.541814i
\(989\) 0.580083 0.0184456
\(990\) 4.28790 16.7322i 0.136278 0.531786i
\(991\) −18.9911 −0.603272 −0.301636 0.953423i \(-0.597533\pi\)
−0.301636 + 0.953423i \(0.597533\pi\)
\(992\) 32.5349 + 14.4855i 1.03298 + 0.459914i
\(993\) 0.851946 21.4229i 0.0270357 0.679836i
\(994\) −3.92436 4.35845i −0.124473 0.138242i
\(995\) −36.4663 + 16.2359i −1.15606 + 0.514711i
\(996\) −14.2771 + 0.928931i −0.452388 + 0.0294343i
\(997\) −21.6299 + 4.59758i −0.685027 + 0.145607i −0.537262 0.843416i \(-0.680541\pi\)
−0.147765 + 0.989022i \(0.547208\pi\)
\(998\) −3.58956 11.0475i −0.113625 0.349703i
\(999\) 29.4407 + 13.6235i 0.931463 + 0.431028i
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 99.2.m.b.58.6 yes 72
3.2 odd 2 297.2.n.b.91.4 72
9.2 odd 6 297.2.n.b.289.6 72
9.4 even 3 891.2.f.f.487.4 36
9.5 odd 6 891.2.f.e.487.6 36
9.7 even 3 inner 99.2.m.b.25.4 yes 72
11.2 odd 10 1089.2.e.o.364.11 36
11.4 even 5 inner 99.2.m.b.4.4 72
11.9 even 5 1089.2.e.p.364.8 36
33.26 odd 10 297.2.n.b.37.6 72
99.4 even 15 891.2.f.f.730.4 36
99.13 odd 30 9801.2.a.co.1.8 18
99.31 even 15 9801.2.a.cm.1.11 18
99.59 odd 30 891.2.f.e.730.6 36
99.68 even 30 9801.2.a.cn.1.11 18
99.70 even 15 inner 99.2.m.b.70.6 yes 72
99.79 odd 30 1089.2.e.o.727.11 36
99.86 odd 30 9801.2.a.cp.1.8 18
99.92 odd 30 297.2.n.b.235.4 72
99.97 even 15 1089.2.e.p.727.8 36
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.m.b.4.4 72 11.4 even 5 inner
99.2.m.b.25.4 yes 72 9.7 even 3 inner
99.2.m.b.58.6 yes 72 1.1 even 1 trivial
99.2.m.b.70.6 yes 72 99.70 even 15 inner
297.2.n.b.37.6 72 33.26 odd 10
297.2.n.b.91.4 72 3.2 odd 2
297.2.n.b.235.4 72 99.92 odd 30
297.2.n.b.289.6 72 9.2 odd 6
891.2.f.e.487.6 36 9.5 odd 6
891.2.f.e.730.6 36 99.59 odd 30
891.2.f.f.487.4 36 9.4 even 3
891.2.f.f.730.4 36 99.4 even 15
1089.2.e.o.364.11 36 11.2 odd 10
1089.2.e.o.727.11 36 99.79 odd 30
1089.2.e.p.364.8 36 11.9 even 5
1089.2.e.p.727.8 36 99.97 even 15
9801.2.a.cm.1.11 18 99.31 even 15
9801.2.a.cn.1.11 18 99.68 even 30
9801.2.a.co.1.8 18 99.13 odd 30
9801.2.a.cp.1.8 18 99.86 odd 30