Properties

Label 99.2.m.b.25.5
Level $99$
Weight $2$
Character 99.25
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 25.5
Character \(\chi\) \(=\) 99.25
Dual form 99.2.m.b.4.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0512706 + 0.487807i) q^{2} +(-1.72269 + 0.179809i) q^{3} +(1.72097 - 0.365803i) q^{4} +(-0.178553 + 1.69882i) q^{5} +(-0.176036 - 0.831122i) q^{6} +(2.28209 + 2.53451i) q^{7} +(0.569818 + 1.75372i) q^{8} +(2.93534 - 0.619512i) q^{9} -0.837851 q^{10} +(-2.17733 - 2.50184i) q^{11} +(-2.89892 + 0.939612i) q^{12} +(-3.65228 - 1.62610i) q^{13} +(-1.11935 + 1.24316i) q^{14} +(0.00212861 - 2.95865i) q^{15} +(2.38835 - 1.06336i) q^{16} +(2.67346 + 1.94238i) q^{17} +(0.452699 + 1.40012i) q^{18} +(-1.36513 - 4.20144i) q^{19} +(0.314149 + 2.98893i) q^{20} +(-4.38706 - 3.95584i) q^{21} +(1.10878 - 1.19039i) q^{22} +(-3.74601 - 6.48827i) q^{23} +(-1.29696 - 2.91866i) q^{24} +(2.03663 + 0.432899i) q^{25} +(0.605969 - 1.86498i) q^{26} +(-4.94529 + 1.59503i) q^{27} +(4.85453 + 3.52702i) q^{28} +(1.13169 + 1.25687i) q^{29} +(1.44336 - 0.150653i) q^{30} +(-3.56147 - 1.58567i) q^{31} +(2.48514 + 4.30439i) q^{32} +(4.20073 + 3.91840i) q^{33} +(-0.810437 + 1.40372i) q^{34} +(-4.71315 + 3.42431i) q^{35} +(4.82500 - 2.13992i) q^{36} +(0.947300 - 2.91549i) q^{37} +(1.97950 - 0.881330i) q^{38} +(6.58415 + 2.14456i) q^{39} +(-3.08100 + 0.654886i) q^{40} +(0.261546 - 0.290476i) q^{41} +(1.70476 - 2.34286i) q^{42} +(-4.80634 + 8.32483i) q^{43} +(-4.66230 - 3.50912i) q^{44} +(0.528325 + 5.09722i) q^{45} +(2.97296 - 2.15999i) q^{46} +(1.05665 + 0.224598i) q^{47} +(-3.92319 + 2.26129i) q^{48} +(-0.484141 + 4.60629i) q^{49} +(-0.106752 + 1.01568i) q^{50} +(-4.95480 - 2.86541i) q^{51} +(-6.88030 - 1.46245i) q^{52} +(10.1643 - 7.38480i) q^{53} +(-1.03161 - 2.33057i) q^{54} +(4.63895 - 3.25218i) q^{55} +(-3.14445 + 5.44635i) q^{56} +(3.10715 + 6.99232i) q^{57} +(-0.555089 + 0.616488i) q^{58} +(3.57664 - 0.760238i) q^{59} +(-1.07862 - 5.09252i) q^{60} +(-3.52005 + 1.56723i) q^{61} +(0.590902 - 1.81861i) q^{62} +(8.26885 + 6.02587i) q^{63} +(2.25785 - 1.64043i) q^{64} +(3.41458 - 5.91423i) q^{65} +(-1.69605 + 2.25004i) q^{66} +(-1.55060 - 2.68572i) q^{67} +(5.31146 + 2.36482i) q^{68} +(7.61987 + 10.5037i) q^{69} +(-1.91205 - 2.12354i) q^{70} +(-5.67699 - 4.12458i) q^{71} +(2.75906 + 4.79475i) q^{72} +(-4.64842 + 14.3064i) q^{73} +(1.47077 + 0.312621i) q^{74} +(-3.58633 - 0.379547i) q^{75} +(-3.88624 - 6.73117i) q^{76} +(1.37210 - 11.2279i) q^{77} +(-0.708557 + 3.32175i) q^{78} +(0.418023 + 3.97722i) q^{79} +(1.38001 + 4.24724i) q^{80} +(8.23241 - 3.63695i) q^{81} +(0.155106 + 0.112691i) q^{82} +(-0.114162 + 0.0508282i) q^{83} +(-8.99705 - 5.20308i) q^{84} +(-3.77711 + 4.19490i) q^{85} +(-4.30733 - 1.91775i) q^{86} +(-2.17556 - 1.96172i) q^{87} +(3.14685 - 5.24403i) q^{88} -7.93327 q^{89} +(-2.45937 + 0.519059i) q^{90} +(-4.21345 - 12.9677i) q^{91} +(-8.82019 - 9.79581i) q^{92} +(6.42044 + 2.09123i) q^{93} +(-0.0553855 + 0.526958i) q^{94} +(7.38123 - 1.56893i) q^{95} +(-5.05510 - 6.96828i) q^{96} +(-0.0358699 - 0.341280i) q^{97} -2.27180 q^{98} +(-7.94113 - 5.99487i) 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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0512706 + 0.487807i 0.0362538 + 0.344932i 0.997580 + 0.0695211i \(0.0221471\pi\)
−0.961327 + 0.275411i \(0.911186\pi\)
\(3\) −1.72269 + 0.179809i −0.994597 + 0.103813i
\(4\) 1.72097 0.365803i 0.860484 0.182902i
\(5\) −0.178553 + 1.69882i −0.0798514 + 0.759735i 0.879190 + 0.476471i \(0.158084\pi\)
−0.959042 + 0.283265i \(0.908583\pi\)
\(6\) −0.176036 0.831122i −0.0718663 0.339304i
\(7\) 2.28209 + 2.53451i 0.862547 + 0.957956i 0.999468 0.0326264i \(-0.0103872\pi\)
−0.136921 + 0.990582i \(0.543720\pi\)
\(8\) 0.569818 + 1.75372i 0.201461 + 0.620034i
\(9\) 2.93534 0.619512i 0.978446 0.206504i
\(10\) −0.837851 −0.264952
\(11\) −2.17733 2.50184i −0.656490 0.754334i
\(12\) −2.89892 + 0.939612i −0.836847 + 0.271243i
\(13\) −3.65228 1.62610i −1.01296 0.451000i −0.167977 0.985791i \(-0.553724\pi\)
−0.844984 + 0.534791i \(0.820390\pi\)
\(14\) −1.11935 + 1.24316i −0.299159 + 0.332249i
\(15\) 0.00212861 2.95865i 0.000549604 0.763920i
\(16\) 2.38835 1.06336i 0.597088 0.265840i
\(17\) 2.67346 + 1.94238i 0.648409 + 0.471097i 0.862729 0.505667i \(-0.168754\pi\)
−0.214320 + 0.976763i \(0.568754\pi\)
\(18\) 0.452699 + 1.40012i 0.106702 + 0.330010i
\(19\) −1.36513 4.20144i −0.313182 0.963875i −0.976496 0.215534i \(-0.930851\pi\)
0.663314 0.748341i \(-0.269149\pi\)
\(20\) 0.314149 + 2.98893i 0.0702459 + 0.668345i
\(21\) −4.38706 3.95584i −0.957335 0.863236i
\(22\) 1.10878 1.19039i 0.236394 0.253792i
\(23\) −3.74601 6.48827i −0.781096 1.35290i −0.931304 0.364244i \(-0.881328\pi\)
0.150208 0.988654i \(-0.452006\pi\)
\(24\) −1.29696 2.91866i −0.264740 0.595769i
\(25\) 2.03663 + 0.432899i 0.407326 + 0.0865799i
\(26\) 0.605969 1.86498i 0.118840 0.365753i
\(27\) −4.94529 + 1.59503i −0.951721 + 0.306964i
\(28\) 4.85453 + 3.52702i 0.917420 + 0.666544i
\(29\) 1.13169 + 1.25687i 0.210150 + 0.233395i 0.839000 0.544131i \(-0.183141\pi\)
−0.628850 + 0.777527i \(0.716474\pi\)
\(30\) 1.44336 0.150653i 0.263520 0.0275054i
\(31\) −3.56147 1.58567i −0.639659 0.284795i 0.0611661 0.998128i \(-0.480518\pi\)
−0.700825 + 0.713333i \(0.747185\pi\)
\(32\) 2.48514 + 4.30439i 0.439315 + 0.760915i
\(33\) 4.20073 + 3.91840i 0.731253 + 0.682106i
\(34\) −0.810437 + 1.40372i −0.138989 + 0.240736i
\(35\) −4.71315 + 3.42431i −0.796668 + 0.578813i
\(36\) 4.82500 2.13992i 0.804167 0.356653i
\(37\) 0.947300 2.91549i 0.155735 0.479304i −0.842499 0.538697i \(-0.818917\pi\)
0.998235 + 0.0593935i \(0.0189167\pi\)
\(38\) 1.97950 0.881330i 0.321117 0.142971i
\(39\) 6.58415 + 2.14456i 1.05431 + 0.343404i
\(40\) −3.08100 + 0.654886i −0.487148 + 0.103547i
\(41\) 0.261546 0.290476i 0.0408467 0.0453648i −0.722375 0.691501i \(-0.756950\pi\)
0.763222 + 0.646136i \(0.223616\pi\)
\(42\) 1.70476 2.34286i 0.263050 0.361511i
\(43\) −4.80634 + 8.32483i −0.732960 + 1.26952i 0.222652 + 0.974898i \(0.428529\pi\)
−0.955613 + 0.294626i \(0.904805\pi\)
\(44\) −4.66230 3.50912i −0.702869 0.529020i
\(45\) 0.528325 + 5.09722i 0.0787581 + 0.759849i
\(46\) 2.97296 2.15999i 0.438340 0.318472i
\(47\) 1.05665 + 0.224598i 0.154129 + 0.0327610i 0.284330 0.958727i \(-0.408229\pi\)
−0.130201 + 0.991488i \(0.541562\pi\)
\(48\) −3.92319 + 2.26129i −0.566264 + 0.326390i
\(49\) −0.484141 + 4.60629i −0.0691630 + 0.658042i
\(50\) −0.106752 + 1.01568i −0.0150970 + 0.143639i
\(51\) −4.95480 2.86541i −0.693811 0.401238i
\(52\) −6.88030 1.46245i −0.954126 0.202806i
\(53\) 10.1643 7.38480i 1.39618 1.01438i 0.401020 0.916069i \(-0.368656\pi\)
0.995156 0.0983117i \(-0.0313442\pi\)
\(54\) −1.03161 2.33057i −0.140385 0.317150i
\(55\) 4.63895 3.25218i 0.625516 0.438524i
\(56\) −3.14445 + 5.44635i −0.420195 + 0.727799i
\(57\) 3.10715 + 6.99232i 0.411553 + 0.926155i
\(58\) −0.555089 + 0.616488i −0.0728867 + 0.0809489i
\(59\) 3.57664 0.760238i 0.465639 0.0989746i 0.0308830 0.999523i \(-0.490168\pi\)
0.434756 + 0.900548i \(0.356835\pi\)
\(60\) −1.07862 5.09252i −0.139249 0.657441i
\(61\) −3.52005 + 1.56723i −0.450696 + 0.200663i −0.619516 0.784984i \(-0.712671\pi\)
0.168820 + 0.985647i \(0.446004\pi\)
\(62\) 0.590902 1.81861i 0.0750446 0.230964i
\(63\) 8.26885 + 6.02587i 1.04178 + 0.759188i
\(64\) 2.25785 1.64043i 0.282232 0.205053i
\(65\) 3.41458 5.91423i 0.423527 0.733570i
\(66\) −1.69605 + 2.25004i −0.208769 + 0.276961i
\(67\) −1.55060 2.68572i −0.189436 0.328113i 0.755626 0.655003i \(-0.227333\pi\)
−0.945062 + 0.326890i \(0.893999\pi\)
\(68\) 5.31146 + 2.36482i 0.644110 + 0.286776i
\(69\) 7.61987 + 10.5037i 0.917324 + 1.26450i
\(70\) −1.91205 2.12354i −0.228533 0.253812i
\(71\) −5.67699 4.12458i −0.673735 0.489497i 0.197538 0.980295i \(-0.436705\pi\)
−0.871273 + 0.490798i \(0.836705\pi\)
\(72\) 2.75906 + 4.79475i 0.325158 + 0.565067i
\(73\) −4.64842 + 14.3064i −0.544057 + 1.67443i 0.179165 + 0.983819i \(0.442660\pi\)
−0.723222 + 0.690615i \(0.757340\pi\)
\(74\) 1.47077 + 0.312621i 0.170973 + 0.0363414i
\(75\) −3.58633 0.379547i −0.414114 0.0438263i
\(76\) −3.88624 6.73117i −0.445783 0.772118i
\(77\) 1.37210 11.2279i 0.156365 1.27954i
\(78\) −0.708557 + 3.32175i −0.0802283 + 0.376114i
\(79\) 0.418023 + 3.97722i 0.0470313 + 0.447473i 0.992544 + 0.121887i \(0.0388946\pi\)
−0.945513 + 0.325585i \(0.894439\pi\)
\(80\) 1.38001 + 4.24724i 0.154290 + 0.474856i
\(81\) 8.23241 3.63695i 0.914712 0.404106i
\(82\) 0.155106 + 0.112691i 0.0171286 + 0.0124447i
\(83\) −0.114162 + 0.0508282i −0.0125309 + 0.00557912i −0.412993 0.910734i \(-0.635516\pi\)
0.400462 + 0.916314i \(0.368850\pi\)
\(84\) −8.99705 5.20308i −0.981659 0.567703i
\(85\) −3.77711 + 4.19490i −0.409685 + 0.455001i
\(86\) −4.30733 1.91775i −0.464472 0.206796i
\(87\) −2.17556 1.96172i −0.233244 0.210318i
\(88\) 3.14685 5.24403i 0.335455 0.559015i
\(89\) −7.93327 −0.840925 −0.420462 0.907310i \(-0.638132\pi\)
−0.420462 + 0.907310i \(0.638132\pi\)
\(90\) −2.45937 + 0.519059i −0.259241 + 0.0547136i
\(91\) −4.21345 12.9677i −0.441690 1.35938i
\(92\) −8.82019 9.79581i −0.919568 1.02128i
\(93\) 6.42044 + 2.09123i 0.665768 + 0.216851i
\(94\) −0.0553855 + 0.526958i −0.00571258 + 0.0543515i
\(95\) 7.38123 1.56893i 0.757298 0.160969i
\(96\) −5.05510 6.96828i −0.515934 0.711197i
\(97\) −0.0358699 0.341280i −0.00364204 0.0346517i 0.992550 0.121838i \(-0.0388790\pi\)
−0.996192 + 0.0871867i \(0.972212\pi\)
\(98\) −2.27180 −0.229487
\(99\) −7.94113 5.99487i −0.798113 0.602507i
\(100\) 3.66333 0.366333
\(101\) −0.743781 7.07660i −0.0740090 0.704148i −0.967121 0.254315i \(-0.918150\pi\)
0.893112 0.449833i \(-0.148517\pi\)
\(102\) 1.14373 2.56390i 0.113246 0.253864i
\(103\) 1.61814 0.343946i 0.159440 0.0338900i −0.127500 0.991839i \(-0.540695\pi\)
0.286940 + 0.957949i \(0.407362\pi\)
\(104\) 0.770589 7.33167i 0.0755625 0.718929i
\(105\) 7.50359 6.74649i 0.732275 0.658390i
\(106\) 4.12349 + 4.57960i 0.400509 + 0.444810i
\(107\) 1.02187 + 3.14498i 0.0987876 + 0.304037i 0.988222 0.153025i \(-0.0489016\pi\)
−0.889435 + 0.457062i \(0.848902\pi\)
\(108\) −7.92722 + 4.55400i −0.762797 + 0.438209i
\(109\) −5.50709 −0.527484 −0.263742 0.964593i \(-0.584957\pi\)
−0.263742 + 0.964593i \(0.584957\pi\)
\(110\) 1.82428 + 2.09617i 0.173938 + 0.199862i
\(111\) −1.10767 + 5.19283i −0.105136 + 0.492881i
\(112\) 8.14552 + 3.62662i 0.769680 + 0.342683i
\(113\) −10.9799 + 12.1944i −1.03290 + 1.14716i −0.0439343 + 0.999034i \(0.513989\pi\)
−0.988969 + 0.148121i \(0.952677\pi\)
\(114\) −3.25160 + 1.87419i −0.304540 + 0.175534i
\(115\) 11.6913 5.20529i 1.09022 0.485395i
\(116\) 2.40738 + 1.74906i 0.223519 + 0.162396i
\(117\) −11.7281 2.51052i −1.08426 0.232098i
\(118\) 0.554226 + 1.70573i 0.0510206 + 0.157025i
\(119\) 1.17807 + 11.2086i 0.107994 + 1.02749i
\(120\) 5.18986 1.68216i 0.473767 0.153559i
\(121\) −1.51845 + 10.8947i −0.138040 + 0.990427i
\(122\) −0.944980 1.63675i −0.0855545 0.148185i
\(123\) −0.398333 + 0.547430i −0.0359165 + 0.0493601i
\(124\) −6.70922 1.42609i −0.602506 0.128067i
\(125\) −3.73834 + 11.5054i −0.334368 + 1.02908i
\(126\) −2.51551 + 4.34255i −0.224100 + 0.386865i
\(127\) −8.73327 6.34509i −0.774952 0.563036i 0.128508 0.991709i \(-0.458981\pi\)
−0.903460 + 0.428673i \(0.858981\pi\)
\(128\) 7.56750 + 8.40456i 0.668879 + 0.742865i
\(129\) 6.78297 15.2053i 0.597207 1.33876i
\(130\) 3.06007 + 1.36243i 0.268386 + 0.119493i
\(131\) 10.5778 + 18.3213i 0.924189 + 1.60074i 0.792860 + 0.609404i \(0.208591\pi\)
0.131329 + 0.991339i \(0.458075\pi\)
\(132\) 8.66268 + 5.20681i 0.753990 + 0.453194i
\(133\) 7.53325 13.0480i 0.653216 1.13140i
\(134\) 1.23061 0.894092i 0.106309 0.0772378i
\(135\) −1.82667 8.68595i −0.157215 0.747568i
\(136\) −1.88301 + 5.79530i −0.161467 + 0.496943i
\(137\) 2.92382 1.30177i 0.249799 0.111218i −0.278018 0.960576i \(-0.589677\pi\)
0.527817 + 0.849358i \(0.323011\pi\)
\(138\) −4.73312 + 4.25556i −0.402910 + 0.362257i
\(139\) 14.6660 3.11735i 1.24395 0.264411i 0.461512 0.887134i \(-0.347307\pi\)
0.782442 + 0.622723i \(0.213974\pi\)
\(140\) −6.85856 + 7.61721i −0.579654 + 0.643771i
\(141\) −1.86067 0.196918i −0.156697 0.0165835i
\(142\) 1.72094 2.98075i 0.144418 0.250139i
\(143\) 3.88399 + 12.6780i 0.324795 + 1.06019i
\(144\) 6.35185 4.60094i 0.529321 0.383411i
\(145\) −2.33727 + 1.69812i −0.194099 + 0.141021i
\(146\) −7.21708 1.53404i −0.597290 0.126958i
\(147\) 0.00577165 8.02228i 0.000476037 0.661666i
\(148\) 0.563778 5.36399i 0.0463423 0.440917i
\(149\) −0.423458 + 4.02893i −0.0346910 + 0.330063i 0.963388 + 0.268111i \(0.0863993\pi\)
−0.998079 + 0.0619522i \(0.980267\pi\)
\(150\) 0.00127264 1.76890i 0.000103910 0.144430i
\(151\) 7.62367 + 1.62046i 0.620405 + 0.131871i 0.507382 0.861721i \(-0.330613\pi\)
0.113023 + 0.993592i \(0.463947\pi\)
\(152\) 6.59027 4.78811i 0.534541 0.388367i
\(153\) 9.05083 + 4.04530i 0.731716 + 0.327043i
\(154\) 5.54740 + 0.0936570i 0.447022 + 0.00754709i
\(155\) 3.32968 5.76717i 0.267446 0.463230i
\(156\) 12.1156 + 1.28221i 0.970024 + 0.102659i
\(157\) 0.206863 0.229745i 0.0165095 0.0183356i −0.734834 0.678248i \(-0.762740\pi\)
0.751343 + 0.659912i \(0.229406\pi\)
\(158\) −1.91868 + 0.407829i −0.152642 + 0.0324451i
\(159\) −16.1821 + 14.5494i −1.28333 + 1.15384i
\(160\) −7.75610 + 3.45324i −0.613174 + 0.273003i
\(161\) 7.89590 24.3011i 0.622284 1.91519i
\(162\) 2.19621 + 3.82936i 0.172551 + 0.300863i
\(163\) −8.89442 + 6.46217i −0.696665 + 0.506157i −0.878844 0.477109i \(-0.841685\pi\)
0.182179 + 0.983265i \(0.441685\pi\)
\(164\) 0.343855 0.595575i 0.0268506 0.0465066i
\(165\) −7.40671 + 6.43664i −0.576612 + 0.501092i
\(166\) −0.0306475 0.0530830i −0.00237871 0.00412004i
\(167\) −16.0545 7.14793i −1.24234 0.553124i −0.322926 0.946424i \(-0.604667\pi\)
−0.919410 + 0.393300i \(0.871333\pi\)
\(168\) 4.43762 9.94779i 0.342370 0.767489i
\(169\) 1.99628 + 2.21709i 0.153560 + 0.170546i
\(170\) −2.23996 1.62742i −0.171797 0.124818i
\(171\) −6.60995 11.4869i −0.505476 0.878426i
\(172\) −5.22631 + 16.0849i −0.398503 + 1.22646i
\(173\) −12.0955 2.57098i −0.919605 0.195468i −0.276294 0.961073i \(-0.589106\pi\)
−0.643311 + 0.765605i \(0.722440\pi\)
\(174\) 0.845396 1.16183i 0.0640893 0.0880781i
\(175\) 3.55058 + 6.14978i 0.268398 + 0.464880i
\(176\) −7.86060 3.65999i −0.592515 0.275882i
\(177\) −6.02475 + 1.95277i −0.452848 + 0.146779i
\(178\) −0.406743 3.86990i −0.0304867 0.290061i
\(179\) 6.76200 + 20.8113i 0.505416 + 1.55551i 0.800071 + 0.599906i \(0.204795\pi\)
−0.294655 + 0.955604i \(0.595205\pi\)
\(180\) 2.77381 + 8.57890i 0.206748 + 0.639433i
\(181\) 3.54364 + 2.57460i 0.263396 + 0.191369i 0.711643 0.702541i \(-0.247951\pi\)
−0.448247 + 0.893910i \(0.647951\pi\)
\(182\) 6.10969 2.72021i 0.452880 0.201635i
\(183\) 5.78216 3.33279i 0.427430 0.246367i
\(184\) 9.24407 10.2666i 0.681482 0.756862i
\(185\) 4.78375 + 2.12986i 0.351708 + 0.156591i
\(186\) −0.690939 + 3.23915i −0.0506621 + 0.237506i
\(187\) −0.961474 10.9178i −0.0703099 0.798387i
\(188\) 1.90062 0.138617
\(189\) −15.3282 8.89390i −1.11496 0.646936i
\(190\) 1.14377 + 3.52018i 0.0829781 + 0.255380i
\(191\) 8.37399 + 9.30026i 0.605921 + 0.672943i 0.965570 0.260144i \(-0.0837702\pi\)
−0.359649 + 0.933088i \(0.617104\pi\)
\(192\) −3.59462 + 3.23193i −0.259419 + 0.233245i
\(193\) 1.31347 12.4969i 0.0945460 0.899545i −0.839732 0.543000i \(-0.817288\pi\)
0.934278 0.356544i \(-0.116045\pi\)
\(194\) 0.164640 0.0349952i 0.0118204 0.00251251i
\(195\) −4.81884 + 10.8024i −0.345084 + 0.773573i
\(196\) 0.851805 + 8.10438i 0.0608432 + 0.578885i
\(197\) −10.3453 −0.737075 −0.368538 0.929613i \(-0.620141\pi\)
−0.368538 + 0.929613i \(0.620141\pi\)
\(198\) 2.51719 4.18110i 0.178889 0.297138i
\(199\) 26.4773 1.87693 0.938464 0.345376i \(-0.112249\pi\)
0.938464 + 0.345376i \(0.112249\pi\)
\(200\) 0.401325 + 3.81836i 0.0283780 + 0.269999i
\(201\) 3.15412 + 4.34785i 0.222475 + 0.306674i
\(202\) 3.41388 0.725643i 0.240200 0.0510561i
\(203\) −0.602939 + 5.73658i −0.0423180 + 0.402629i
\(204\) −9.57523 3.11880i −0.670401 0.218360i
\(205\) 0.446767 + 0.496185i 0.0312036 + 0.0346551i
\(206\) 0.250742 + 0.771705i 0.0174700 + 0.0537672i
\(207\) −15.0154 16.7246i −1.04364 1.16244i
\(208\) −10.4521 −0.724721
\(209\) −7.53900 + 12.5633i −0.521483 + 0.869019i
\(210\) 3.67570 + 3.31441i 0.253647 + 0.228716i
\(211\) −6.65418 2.96263i −0.458092 0.203956i 0.164699 0.986344i \(-0.447335\pi\)
−0.622791 + 0.782388i \(0.714001\pi\)
\(212\) 14.7911 16.4272i 1.01586 1.12822i
\(213\) 10.5214 + 6.08460i 0.720911 + 0.416910i
\(214\) −1.48175 + 0.659719i −0.101291 + 0.0450975i
\(215\) −13.2842 9.65153i −0.905974 0.658229i
\(216\) −5.61515 7.76378i −0.382063 0.528258i
\(217\) −4.10868 12.6452i −0.278916 0.858414i
\(218\) −0.282352 2.68640i −0.0191233 0.181946i
\(219\) 5.43538 25.4813i 0.367289 1.72187i
\(220\) 6.79383 7.29385i 0.458040 0.491751i
\(221\) −6.60572 11.4414i −0.444349 0.769635i
\(222\) −2.58989 0.274092i −0.173822 0.0183959i
\(223\) −22.9963 4.88802i −1.53995 0.327326i −0.641748 0.766915i \(-0.721791\pi\)
−0.898199 + 0.439590i \(0.855124\pi\)
\(224\) −5.23822 + 16.1216i −0.349993 + 1.07717i
\(225\) 6.24639 + 0.00898796i 0.416426 + 0.000599197i
\(226\) −6.51148 4.73086i −0.433137 0.314692i
\(227\) −7.97750 8.85991i −0.529485 0.588053i 0.417762 0.908557i \(-0.362815\pi\)
−0.947247 + 0.320503i \(0.896148\pi\)
\(228\) 7.90513 + 10.8970i 0.523530 + 0.721668i
\(229\) 2.79323 + 1.24363i 0.184582 + 0.0821811i 0.496947 0.867781i \(-0.334454\pi\)
−0.312365 + 0.949962i \(0.601121\pi\)
\(230\) 3.13859 + 5.43620i 0.206953 + 0.358453i
\(231\) −0.344818 + 19.5889i −0.0226874 + 1.28886i
\(232\) −1.55934 + 2.70086i −0.102376 + 0.177320i
\(233\) 19.8463 14.4192i 1.30017 0.944632i 0.300217 0.953871i \(-0.402941\pi\)
0.999957 + 0.00923938i \(0.00294103\pi\)
\(234\) 0.623345 5.84975i 0.0407494 0.382410i
\(235\) −0.570221 + 1.75496i −0.0371971 + 0.114481i
\(236\) 5.87718 2.61669i 0.382572 0.170332i
\(237\) −1.43527 6.77637i −0.0932306 0.440172i
\(238\) −5.40723 + 1.14934i −0.350499 + 0.0745008i
\(239\) −4.65088 + 5.16532i −0.300840 + 0.334117i −0.874544 0.484946i \(-0.838839\pi\)
0.573704 + 0.819063i \(0.305506\pi\)
\(240\) −3.14103 7.06855i −0.202753 0.456273i
\(241\) 3.88529 6.72952i 0.250274 0.433487i −0.713327 0.700831i \(-0.752813\pi\)
0.963601 + 0.267344i \(0.0861461\pi\)
\(242\) −5.39236 0.182131i −0.346634 0.0117078i
\(243\) −13.5280 + 7.74562i −0.867818 + 0.496881i
\(244\) −5.48460 + 3.98480i −0.351116 + 0.255100i
\(245\) −7.73881 1.64494i −0.494415 0.105091i
\(246\) −0.287463 0.166243i −0.0183280 0.0105992i
\(247\) −1.84612 + 17.5647i −0.117466 + 1.11761i
\(248\) 0.751429 7.14937i 0.0477158 0.453985i
\(249\) 0.187527 0.108089i 0.0118840 0.00684984i
\(250\) −5.80410 1.23370i −0.367084 0.0780260i
\(251\) −0.264684 + 0.192304i −0.0167067 + 0.0121381i −0.596107 0.802905i \(-0.703287\pi\)
0.579401 + 0.815043i \(0.303287\pi\)
\(252\) 16.4347 + 7.34556i 1.03529 + 0.462727i
\(253\) −8.07634 + 23.4990i −0.507755 + 1.47737i
\(254\) 2.64742 4.58547i 0.166114 0.287718i
\(255\) 5.75251 7.90569i 0.360236 0.495073i
\(256\) 0.0230840 0.0256374i 0.00144275 0.00160234i
\(257\) 13.4292 2.85445i 0.837688 0.178056i 0.230957 0.972964i \(-0.425814\pi\)
0.606730 + 0.794908i \(0.292481\pi\)
\(258\) 7.76504 + 2.52919i 0.483430 + 0.157461i
\(259\) 9.55117 4.25245i 0.593481 0.264235i
\(260\) 3.71294 11.4273i 0.230267 0.708689i
\(261\) 4.10055 + 2.98825i 0.253818 + 0.184968i
\(262\) −8.39495 + 6.09928i −0.518641 + 0.376815i
\(263\) 8.42709 14.5961i 0.519637 0.900037i −0.480103 0.877212i \(-0.659401\pi\)
0.999739 0.0228249i \(-0.00726603\pi\)
\(264\) −4.47813 + 9.59968i −0.275610 + 0.590820i
\(265\) 10.7306 + 18.5859i 0.659174 + 1.14172i
\(266\) 6.75113 + 3.00579i 0.413938 + 0.184297i
\(267\) 13.6666 1.42647i 0.836381 0.0872988i
\(268\) −3.65098 4.05482i −0.223019 0.247688i
\(269\) −10.0297 7.28700i −0.611522 0.444296i 0.238428 0.971160i \(-0.423368\pi\)
−0.849950 + 0.526864i \(0.823368\pi\)
\(270\) 4.14341 1.33640i 0.252160 0.0813305i
\(271\) 5.95460 18.3264i 0.361716 1.11325i −0.590296 0.807187i \(-0.700989\pi\)
0.952012 0.306061i \(-0.0990112\pi\)
\(272\) 8.45061 + 1.79623i 0.512393 + 0.108913i
\(273\) 9.59018 + 21.5817i 0.580424 + 1.30618i
\(274\) 0.784919 + 1.35952i 0.0474187 + 0.0821316i
\(275\) −3.35138 6.03790i −0.202096 0.364099i
\(276\) 16.9558 + 15.2892i 1.02062 + 0.920302i
\(277\) −1.08198 10.2944i −0.0650100 0.618529i −0.977719 0.209919i \(-0.932680\pi\)
0.912709 0.408611i \(-0.133987\pi\)
\(278\) 2.27260 + 6.99435i 0.136302 + 0.419493i
\(279\) −11.4365 2.44810i −0.684683 0.146564i
\(280\) −8.69092 6.31432i −0.519382 0.377353i
\(281\) −15.0149 + 6.68504i −0.895711 + 0.398796i −0.802362 0.596837i \(-0.796424\pi\)
−0.0933486 + 0.995633i \(0.529757\pi\)
\(282\) 0.000660273 0.917745i 3.93187e−5 0.0546509i
\(283\) −0.846419 + 0.940044i −0.0503144 + 0.0558798i −0.767777 0.640718i \(-0.778637\pi\)
0.717462 + 0.696597i \(0.245304\pi\)
\(284\) −11.2787 5.02160i −0.669268 0.297977i
\(285\) −12.4335 + 4.02999i −0.736496 + 0.238716i
\(286\) −5.98529 + 2.54464i −0.353918 + 0.150468i
\(287\) 1.33309 0.0786896
\(288\) 9.96134 + 11.0953i 0.586977 + 0.653794i
\(289\) −1.87876 5.78222i −0.110515 0.340130i
\(290\) −0.948189 1.05307i −0.0556796 0.0618385i
\(291\) 0.123158 + 0.581470i 0.00721966 + 0.0340864i
\(292\) −2.76647 + 26.3212i −0.161896 + 1.54033i
\(293\) 23.5610 5.00805i 1.37645 0.292574i 0.540484 0.841354i \(-0.318241\pi\)
0.835966 + 0.548780i \(0.184908\pi\)
\(294\) 3.91362 0.408491i 0.228247 0.0238237i
\(295\) 0.652887 + 6.21181i 0.0380126 + 0.361665i
\(296\) 5.65274 0.328559
\(297\) 14.7581 + 8.89943i 0.856349 + 0.516397i
\(298\) −1.98705 −0.115107
\(299\) 3.13089 + 29.7884i 0.181064 + 1.72271i
\(300\) −6.31080 + 0.658701i −0.364354 + 0.0380301i
\(301\) −32.0679 + 6.81623i −1.84836 + 0.392881i
\(302\) −0.399602 + 3.80196i −0.0229945 + 0.218778i
\(303\) 2.55374 + 12.0571i 0.146709 + 0.692661i
\(304\) −7.72805 8.58287i −0.443234 0.492262i
\(305\) −2.03392 6.25977i −0.116462 0.358433i
\(306\) −1.50929 + 4.62246i −0.0862801 + 0.264249i
\(307\) 16.2949 0.930001 0.465001 0.885310i \(-0.346054\pi\)
0.465001 + 0.885310i \(0.346054\pi\)
\(308\) −1.74587 19.8248i −0.0994800 1.12962i
\(309\) −2.72571 + 0.883469i −0.155060 + 0.0502588i
\(310\) 2.98398 + 1.32855i 0.169479 + 0.0754568i
\(311\) 14.3002 15.8819i 0.810888 0.900582i −0.185743 0.982598i \(-0.559469\pi\)
0.996631 + 0.0820162i \(0.0261359\pi\)
\(312\) −0.00918652 + 12.7688i −0.000520084 + 0.722889i
\(313\) 2.84672 1.26744i 0.160906 0.0716401i −0.324703 0.945816i \(-0.605264\pi\)
0.485609 + 0.874176i \(0.338598\pi\)
\(314\) 0.122677 + 0.0891301i 0.00692307 + 0.00502990i
\(315\) −11.7133 + 12.9713i −0.659969 + 0.730853i
\(316\) 2.17428 + 6.69176i 0.122313 + 0.376441i
\(317\) 1.90920 + 18.1648i 0.107231 + 1.02024i 0.907345 + 0.420388i \(0.138106\pi\)
−0.800113 + 0.599849i \(0.795227\pi\)
\(318\) −7.92696 7.14780i −0.444522 0.400829i
\(319\) 0.680426 5.56795i 0.0380966 0.311745i
\(320\) 2.38364 + 4.12859i 0.133250 + 0.230795i
\(321\) −2.32586 5.23410i −0.129817 0.292139i
\(322\) 12.2591 + 2.60575i 0.683171 + 0.145212i
\(323\) 4.51117 13.8840i 0.251008 0.772524i
\(324\) 12.8373 9.27052i 0.713184 0.515029i
\(325\) −6.73442 4.89284i −0.373558 0.271406i
\(326\) −3.60832 4.00744i −0.199846 0.221952i
\(327\) 9.48703 0.990227i 0.524634 0.0547597i
\(328\) 0.658448 + 0.293160i 0.0363567 + 0.0161871i
\(329\) 1.84212 + 3.19065i 0.101560 + 0.175906i
\(330\) −3.51958 3.28304i −0.193747 0.180725i
\(331\) −1.88308 + 3.26159i −0.103503 + 0.179273i −0.913126 0.407678i \(-0.866339\pi\)
0.809622 + 0.586951i \(0.199672\pi\)
\(332\) −0.177876 + 0.129235i −0.00976222 + 0.00709267i
\(333\) 0.974464 9.14481i 0.0534003 0.501133i
\(334\) 2.66369 8.19799i 0.145751 0.448574i
\(335\) 4.83941 2.15465i 0.264405 0.117721i
\(336\) −14.6843 4.78291i −0.801096 0.260929i
\(337\) −5.83580 + 1.24044i −0.317896 + 0.0675710i −0.364096 0.931361i \(-0.618622\pi\)
0.0462001 + 0.998932i \(0.485289\pi\)
\(338\) −0.979163 + 1.08747i −0.0532594 + 0.0591506i
\(339\) 16.7223 22.9815i 0.908233 1.24819i
\(340\) −4.96577 + 8.60097i −0.269307 + 0.466453i
\(341\) 3.78741 + 12.3628i 0.205100 + 0.669482i
\(342\) 5.26450 3.81332i 0.284672 0.206201i
\(343\) 6.53464 4.74769i 0.352837 0.256351i
\(344\) −17.3382 3.68534i −0.934811 0.198700i
\(345\) −19.2045 + 11.0693i −1.03393 + 0.595951i
\(346\) 0.633999 6.03209i 0.0340840 0.324287i
\(347\) −2.54520 + 24.2159i −0.136633 + 1.29998i 0.684403 + 0.729104i \(0.260063\pi\)
−0.821036 + 0.570876i \(0.806604\pi\)
\(348\) −4.46166 2.58022i −0.239170 0.138315i
\(349\) −16.3759 3.48081i −0.876583 0.186323i −0.252420 0.967618i \(-0.581227\pi\)
−0.624163 + 0.781294i \(0.714560\pi\)
\(350\) −2.81787 + 2.04730i −0.150621 + 0.109433i
\(351\) 20.6553 + 2.21604i 1.10250 + 0.118284i
\(352\) 5.35793 15.5895i 0.285579 0.830924i
\(353\) 4.01566 6.95533i 0.213732 0.370195i −0.739148 0.673544i \(-0.764771\pi\)
0.952880 + 0.303349i \(0.0981047\pi\)
\(354\) −1.26147 2.83880i −0.0670462 0.150880i
\(355\) 8.02056 8.90773i 0.425687 0.472773i
\(356\) −13.6529 + 2.90201i −0.723602 + 0.153806i
\(357\) −4.04486 19.0971i −0.214077 1.01073i
\(358\) −9.80521 + 4.36556i −0.518221 + 0.230727i
\(359\) −8.90742 + 27.4142i −0.470116 + 1.44687i 0.382317 + 0.924031i \(0.375126\pi\)
−0.852433 + 0.522836i \(0.824874\pi\)
\(360\) −8.63806 + 3.83103i −0.455266 + 0.201913i
\(361\) −0.417162 + 0.303086i −0.0219559 + 0.0159519i
\(362\) −1.07422 + 1.86061i −0.0564600 + 0.0977916i
\(363\) 0.656847 19.0412i 0.0344755 0.999406i
\(364\) −11.9948 20.7756i −0.628700 1.08894i
\(365\) −23.4740 10.4513i −1.22868 0.547045i
\(366\) 1.92221 + 2.64971i 0.100476 + 0.138502i
\(367\) 14.9506 + 16.6044i 0.780417 + 0.866741i 0.993909 0.110204i \(-0.0351503\pi\)
−0.213492 + 0.976945i \(0.568484\pi\)
\(368\) −15.8462 11.5129i −0.826038 0.600152i
\(369\) 0.587773 1.01468i 0.0305982 0.0528220i
\(370\) −0.793696 + 2.44275i −0.0412623 + 0.126992i
\(371\) 41.9127 + 8.90882i 2.17600 + 0.462523i
\(372\) 11.8143 + 1.25033i 0.612546 + 0.0648267i
\(373\) −3.53936 6.13036i −0.183261 0.317418i 0.759728 0.650241i \(-0.225332\pi\)
−0.942989 + 0.332823i \(0.891999\pi\)
\(374\) 5.27648 1.02877i 0.272840 0.0531967i
\(375\) 4.37123 20.4925i 0.225729 1.05823i
\(376\) 0.208217 + 1.98105i 0.0107380 + 0.102165i
\(377\) −2.08946 6.43070i −0.107613 0.331198i
\(378\) 3.55262 7.93319i 0.182727 0.408040i
\(379\) 19.6964 + 14.3103i 1.01174 + 0.735070i 0.964573 0.263818i \(-0.0849817\pi\)
0.0471638 + 0.998887i \(0.484982\pi\)
\(380\) 12.1289 5.40015i 0.622202 0.277022i
\(381\) 16.1856 + 9.36032i 0.829216 + 0.479544i
\(382\) −4.10739 + 4.56172i −0.210153 + 0.233398i
\(383\) −16.1130 7.17398i −0.823337 0.366573i −0.0485695 0.998820i \(-0.515466\pi\)
−0.774767 + 0.632247i \(0.782133\pi\)
\(384\) −14.5477 13.1178i −0.742384 0.669413i
\(385\) 18.8292 + 4.33572i 0.959624 + 0.220969i
\(386\) 6.16341 0.313709
\(387\) −8.95090 + 27.4138i −0.455000 + 1.39352i
\(388\) −0.186572 0.574210i −0.00947177 0.0291511i
\(389\) −11.9661 13.2897i −0.606703 0.673812i 0.359037 0.933323i \(-0.383105\pi\)
−0.965740 + 0.259511i \(0.916439\pi\)
\(390\) −5.51653 1.79682i −0.279341 0.0909855i
\(391\) 2.58791 24.6223i 0.130876 1.24520i
\(392\) −8.35402 + 1.77570i −0.421942 + 0.0896865i
\(393\) −21.5167 29.6600i −1.08537 1.49615i
\(394\) −0.530412 5.04653i −0.0267218 0.254241i
\(395\) −6.83122 −0.343716
\(396\) −15.8594 7.41209i −0.796963 0.372472i
\(397\) −21.9395 −1.10111 −0.550556 0.834798i \(-0.685584\pi\)
−0.550556 + 0.834798i \(0.685584\pi\)
\(398\) 1.35751 + 12.9158i 0.0680458 + 0.647412i
\(399\) −10.6313 + 23.8322i −0.532232 + 1.19310i
\(400\) 5.32452 1.13176i 0.266226 0.0565881i
\(401\) −0.565244 + 5.37793i −0.0282269 + 0.268561i 0.971301 + 0.237852i \(0.0764433\pi\)
−0.999528 + 0.0307093i \(0.990223\pi\)
\(402\) −1.95920 + 1.76152i −0.0977160 + 0.0878567i
\(403\) 10.4290 + 11.5826i 0.519508 + 0.576972i
\(404\) −3.86867 11.9065i −0.192473 0.592372i
\(405\) 4.70861 + 14.6348i 0.233972 + 0.727207i
\(406\) −2.82926 −0.140414
\(407\) −9.35669 + 3.97800i −0.463794 + 0.197182i
\(408\) 2.20179 10.3221i 0.109005 0.511020i
\(409\) 21.5781 + 9.60718i 1.06697 + 0.475044i 0.863662 0.504071i \(-0.168165\pi\)
0.203305 + 0.979115i \(0.434832\pi\)
\(410\) −0.219137 + 0.243376i −0.0108224 + 0.0120195i
\(411\) −4.80278 + 2.76828i −0.236904 + 0.136549i
\(412\) 2.65895 1.18384i 0.130997 0.0583236i
\(413\) 10.0890 + 7.33011i 0.496449 + 0.360691i
\(414\) 7.38852 8.18207i 0.363126 0.402127i
\(415\) −0.0659639 0.203016i −0.00323804 0.00996567i
\(416\) −2.07706 19.7619i −0.101836 0.968908i
\(417\) −24.7045 + 8.00733i −1.20978 + 0.392120i
\(418\) −6.51498 3.03345i −0.318658 0.148371i
\(419\) 9.06566 + 15.7022i 0.442886 + 0.767102i 0.997902 0.0647380i \(-0.0206212\pi\)
−0.555016 + 0.831840i \(0.687288\pi\)
\(420\) 10.4456 14.3553i 0.509691 0.700469i
\(421\) 12.5322 + 2.66381i 0.610783 + 0.129826i 0.502910 0.864339i \(-0.332263\pi\)
0.107873 + 0.994165i \(0.465596\pi\)
\(422\) 1.10403 3.39785i 0.0537432 0.165405i
\(423\) 3.24077 + 0.00466316i 0.157572 + 0.000226731i
\(424\) 18.7427 + 13.6174i 0.910226 + 0.661318i
\(425\) 4.60399 + 5.11325i 0.223326 + 0.248029i
\(426\) −2.42868 + 5.44435i −0.117670 + 0.263780i
\(427\) −12.0052 5.34507i −0.580973 0.258666i
\(428\) 2.90904 + 5.03861i 0.140614 + 0.243551i
\(429\) −8.97054 21.1419i −0.433102 1.02074i
\(430\) 4.02700 6.97496i 0.194199 0.336362i
\(431\) 5.32265 3.86713i 0.256383 0.186273i −0.452168 0.891933i \(-0.649349\pi\)
0.708551 + 0.705660i \(0.249349\pi\)
\(432\) −10.1150 + 9.06812i −0.486658 + 0.436290i
\(433\) 4.32555 13.3127i 0.207873 0.639767i −0.791710 0.610897i \(-0.790809\pi\)
0.999583 0.0288700i \(-0.00919089\pi\)
\(434\) 5.95778 2.65257i 0.285982 0.127328i
\(435\) 3.72105 3.34561i 0.178411 0.160410i
\(436\) −9.47753 + 2.01451i −0.453892 + 0.0964776i
\(437\) −22.1463 + 24.5959i −1.05940 + 1.17658i
\(438\) 12.7086 + 1.34498i 0.607242 + 0.0642655i
\(439\) −12.5891 + 21.8050i −0.600846 + 1.04070i 0.391848 + 0.920030i \(0.371836\pi\)
−0.992693 + 0.120665i \(0.961497\pi\)
\(440\) 8.34678 + 6.28227i 0.397917 + 0.299495i
\(441\) 1.43254 + 13.8210i 0.0682160 + 0.658141i
\(442\) 5.24254 3.80893i 0.249362 0.181172i
\(443\) −26.2363 5.57671i −1.24653 0.264957i −0.463024 0.886346i \(-0.653235\pi\)
−0.783502 + 0.621389i \(0.786569\pi\)
\(444\) −0.00672104 + 9.34188i −0.000318966 + 0.443346i
\(445\) 1.41651 13.4772i 0.0671490 0.638880i
\(446\) 1.20537 11.4684i 0.0570761 0.543043i
\(447\) 0.00504822 7.01675i 0.000238772 0.331881i
\(448\) 9.31029 + 1.97896i 0.439870 + 0.0934972i
\(449\) −11.4685 + 8.33234i −0.541231 + 0.393228i −0.824542 0.565801i \(-0.808567\pi\)
0.283311 + 0.959028i \(0.408567\pi\)
\(450\) 0.315872 + 3.04749i 0.0148903 + 0.143660i
\(451\) −1.29620 0.0218838i −0.0610357 0.00103047i
\(452\) −14.4353 + 25.0027i −0.678981 + 1.17603i
\(453\) −13.4246 1.42075i −0.630743 0.0667526i
\(454\) 3.91292 4.34573i 0.183642 0.203955i
\(455\) 22.7820 4.84247i 1.06804 0.227019i
\(456\) −10.4921 + 9.43343i −0.491336 + 0.441761i
\(457\) 22.5109 10.0225i 1.05302 0.468833i 0.194118 0.980978i \(-0.437816\pi\)
0.858899 + 0.512145i \(0.171149\pi\)
\(458\) −0.463439 + 1.42632i −0.0216551 + 0.0666475i
\(459\) −16.3192 5.34139i −0.761714 0.249315i
\(460\) 18.2162 13.2348i 0.849334 0.617077i
\(461\) 13.1227 22.7292i 0.611185 1.05860i −0.379856 0.925046i \(-0.624027\pi\)
0.991041 0.133558i \(-0.0426401\pi\)
\(462\) −9.57329 + 0.836131i −0.445390 + 0.0389003i
\(463\) −6.34609 10.9917i −0.294928 0.510830i 0.680040 0.733175i \(-0.261962\pi\)
−0.974968 + 0.222345i \(0.928629\pi\)
\(464\) 4.03939 + 1.79845i 0.187524 + 0.0834910i
\(465\) −4.69902 + 10.5338i −0.217912 + 0.488492i
\(466\) 8.05131 + 8.94188i 0.372970 + 0.414225i
\(467\) 22.4130 + 16.2840i 1.03715 + 0.753534i 0.969727 0.244190i \(-0.0785221\pi\)
0.0674235 + 0.997724i \(0.478522\pi\)
\(468\) −21.1020 0.0303638i −0.975441 0.00140357i
\(469\) 3.26838 10.0591i 0.150920 0.464484i
\(470\) −0.885317 0.188180i −0.0408366 0.00868009i
\(471\) −0.315051 + 0.432975i −0.0145168 + 0.0199505i
\(472\) 3.37128 + 5.83923i 0.155176 + 0.268772i
\(473\) 31.2924 6.10120i 1.43883 0.280534i
\(474\) 3.23197 1.04756i 0.148449 0.0481161i
\(475\) −0.961466 9.14774i −0.0441151 0.419727i
\(476\) 6.12756 + 18.8587i 0.280856 + 0.864386i
\(477\) 25.2607 27.9738i 1.15661 1.28083i
\(478\) −2.75813 2.00390i −0.126154 0.0916563i
\(479\) −14.2716 + 6.35412i −0.652086 + 0.290327i −0.705993 0.708219i \(-0.749499\pi\)
0.0539074 + 0.998546i \(0.482832\pi\)
\(480\) 12.7405 7.34349i 0.581520 0.335183i
\(481\) −8.20070 + 9.10780i −0.373920 + 0.415280i
\(482\) 3.48191 + 1.55025i 0.158597 + 0.0706118i
\(483\) −9.23265 + 43.2830i −0.420100 + 1.96945i
\(484\) 1.37212 + 19.3049i 0.0623689 + 0.877494i
\(485\) 0.586177 0.0266169
\(486\) −4.47195 6.20191i −0.202852 0.281324i
\(487\) 8.32090 + 25.6091i 0.377056 + 1.16046i 0.942081 + 0.335386i \(0.108867\pi\)
−0.565025 + 0.825074i \(0.691133\pi\)
\(488\) −4.75427 5.28015i −0.215216 0.239021i
\(489\) 14.1604 12.7316i 0.640355 0.575745i
\(490\) 0.405638 3.85938i 0.0183248 0.174349i
\(491\) −38.1475 + 8.10850i −1.72157 + 0.365932i −0.959533 0.281598i \(-0.909136\pi\)
−0.762040 + 0.647529i \(0.775802\pi\)
\(492\) −0.485267 + 1.08782i −0.0218775 + 0.0490428i
\(493\) 0.584209 + 5.55837i 0.0263114 + 0.250337i
\(494\) −8.66283 −0.389759
\(495\) 11.6021 12.4201i 0.521476 0.558244i
\(496\) −10.1922 −0.457642
\(497\) −2.50159 23.8010i −0.112212 1.06762i
\(498\) 0.0623410 + 0.0859350i 0.00279357 + 0.00385084i
\(499\) 23.5099 4.99718i 1.05245 0.223705i 0.350963 0.936389i \(-0.385854\pi\)
0.701485 + 0.712685i \(0.252521\pi\)
\(500\) −2.22485 + 21.1680i −0.0994981 + 0.946661i
\(501\) 28.9423 + 9.42694i 1.29305 + 0.421165i
\(502\) −0.107378 0.119255i −0.00479251 0.00532262i
\(503\) −7.41223 22.8125i −0.330495 1.01716i −0.968899 0.247457i \(-0.920405\pi\)
0.638404 0.769701i \(-0.279595\pi\)
\(504\) −5.85595 + 17.9349i −0.260845 + 0.798884i
\(505\) 12.1547 0.540876
\(506\) −11.8771 2.73489i −0.528001 0.121581i
\(507\) −3.83763 3.46042i −0.170435 0.153683i
\(508\) −17.3507 7.72504i −0.769814 0.342743i
\(509\) 2.47502 2.74879i 0.109703 0.121838i −0.685792 0.727798i \(-0.740544\pi\)
0.795495 + 0.605960i \(0.207211\pi\)
\(510\) 4.15138 + 2.40079i 0.183826 + 0.106309i
\(511\) −46.8678 + 20.8669i −2.07331 + 0.923096i
\(512\) 18.3128 + 13.3050i 0.809318 + 0.588004i
\(513\) 13.4524 + 18.5999i 0.593937 + 0.821205i
\(514\) 2.08094 + 6.40449i 0.0917865 + 0.282490i
\(515\) 0.295378 + 2.81034i 0.0130159 + 0.123838i
\(516\) 6.11111 28.6491i 0.269027 1.26121i
\(517\) −1.73877 3.13260i −0.0764712 0.137772i
\(518\) 2.56407 + 4.44110i 0.112659 + 0.195131i
\(519\) 21.2991 + 2.25412i 0.934928 + 0.0989451i
\(520\) 12.3176 + 2.61818i 0.540162 + 0.114815i
\(521\) −1.98178 + 6.09929i −0.0868234 + 0.267215i −0.985037 0.172345i \(-0.944866\pi\)
0.898213 + 0.439560i \(0.144866\pi\)
\(522\) −1.24745 + 2.15349i −0.0545994 + 0.0942555i
\(523\) 2.21554 + 1.60969i 0.0968790 + 0.0703867i 0.635170 0.772372i \(-0.280930\pi\)
−0.538291 + 0.842759i \(0.680930\pi\)
\(524\) 24.9061 + 27.6610i 1.08803 + 1.20838i
\(525\) −7.22234 9.95575i −0.315209 0.434505i
\(526\) 7.55217 + 3.36244i 0.329290 + 0.146609i
\(527\) −6.44147 11.1570i −0.280595 0.486005i
\(528\) 14.1995 + 4.89162i 0.617954 + 0.212881i
\(529\) −16.5651 + 28.6916i −0.720222 + 1.24746i
\(530\) −8.51617 + 6.18736i −0.369919 + 0.268762i
\(531\) 10.0277 4.44733i 0.435164 0.192998i
\(532\) 8.19149 25.2108i 0.355146 1.09303i
\(533\) −1.42759 + 0.635602i −0.0618356 + 0.0275310i
\(534\) 1.39654 + 6.59352i 0.0604341 + 0.285329i
\(535\) −5.52522 + 1.17442i −0.238876 + 0.0507746i
\(536\) 3.82644 4.24969i 0.165277 0.183559i
\(537\) −15.3909 34.6356i −0.664167 1.49464i
\(538\) 3.04042 5.26617i 0.131082 0.227041i
\(539\) 12.5784 8.81819i 0.541788 0.379826i
\(540\) −6.32099 14.2800i −0.272012 0.614515i
\(541\) −16.9114 + 12.2869i −0.727079 + 0.528254i −0.888638 0.458609i \(-0.848348\pi\)
0.161559 + 0.986863i \(0.448348\pi\)
\(542\) 9.24503 + 1.96509i 0.397108 + 0.0844080i
\(543\) −6.56753 3.79807i −0.281840 0.162991i
\(544\) −1.71684 + 16.3347i −0.0736091 + 0.700344i
\(545\) 0.983309 9.35556i 0.0421203 0.400748i
\(546\) −10.0360 + 5.78466i −0.429501 + 0.247561i
\(547\) 40.9613 + 8.70658i 1.75138 + 0.372267i 0.968326 0.249690i \(-0.0803288\pi\)
0.783051 + 0.621957i \(0.213662\pi\)
\(548\) 4.55562 3.30985i 0.194606 0.141390i
\(549\) −9.36162 + 6.78106i −0.399544 + 0.289408i
\(550\) 2.77350 1.94439i 0.118263 0.0829092i
\(551\) 3.73576 6.47053i 0.159149 0.275654i
\(552\) −14.0787 + 19.3483i −0.599228 + 0.823520i
\(553\) −9.12636 + 10.1358i −0.388092 + 0.431020i
\(554\) 4.96620 1.05560i 0.210993 0.0448480i
\(555\) −8.62390 2.80893i −0.366064 0.119233i
\(556\) 24.0994 10.7297i 1.02204 0.455042i
\(557\) −3.87025 + 11.9114i −0.163988 + 0.504702i −0.998960 0.0455895i \(-0.985483\pi\)
0.834973 + 0.550291i \(0.185483\pi\)
\(558\) 0.607846 5.70430i 0.0257322 0.241482i
\(559\) 31.0911 22.5890i 1.31502 0.955415i
\(560\) −7.61538 + 13.1902i −0.321809 + 0.557389i
\(561\) 3.61944 + 18.6351i 0.152813 + 0.786774i
\(562\) −4.03083 6.98160i −0.170030 0.294501i
\(563\) −13.2544 5.90124i −0.558606 0.248707i 0.107958 0.994155i \(-0.465569\pi\)
−0.666564 + 0.745448i \(0.732236\pi\)
\(564\) −3.27419 + 0.341750i −0.137868 + 0.0143903i
\(565\) −18.7556 20.8302i −0.789056 0.876335i
\(566\) −0.501956 0.364693i −0.0210988 0.0153292i
\(567\) 28.0050 + 12.5653i 1.17610 + 0.527693i
\(568\) 3.99850 12.3061i 0.167773 0.516353i
\(569\) 27.3612 + 5.81579i 1.14704 + 0.243811i 0.741943 0.670463i \(-0.233905\pi\)
0.405096 + 0.914274i \(0.367238\pi\)
\(570\) −2.60333 5.85852i −0.109042 0.245386i
\(571\) −4.52443 7.83654i −0.189341 0.327949i 0.755689 0.654930i \(-0.227302\pi\)
−0.945031 + 0.326981i \(0.893969\pi\)
\(572\) 11.3219 + 20.3977i 0.473391 + 0.852870i
\(573\) −16.0981 14.5158i −0.672507 0.606405i
\(574\) 0.0683481 + 0.650289i 0.00285280 + 0.0271425i
\(575\) −4.82046 14.8359i −0.201027 0.618698i
\(576\) 5.61129 6.21397i 0.233804 0.258915i
\(577\) −31.0234 22.5398i −1.29152 0.938346i −0.291687 0.956514i \(-0.594217\pi\)
−0.999835 + 0.0181683i \(0.994217\pi\)
\(578\) 2.72428 1.21293i 0.113315 0.0504511i
\(579\) −0.0156585 + 21.7644i −0.000650744 + 0.904500i
\(580\) −3.40118 + 3.77740i −0.141226 + 0.156848i
\(581\) −0.389352 0.173351i −0.0161530 0.00719180i
\(582\) −0.277331 + 0.0898897i −0.0114957 + 0.00372605i
\(583\) −40.6067 9.35034i −1.68176 0.387252i
\(584\) −27.7381 −1.14781
\(585\) 6.35901 19.4756i 0.262913 0.805218i
\(586\) 3.65095 + 11.2365i 0.150819 + 0.464175i
\(587\) −0.483525 0.537009i −0.0199572 0.0221647i 0.733084 0.680139i \(-0.238080\pi\)
−0.753041 + 0.657974i \(0.771414\pi\)
\(588\) −2.92464 13.8082i −0.120610 0.569440i
\(589\) −1.80022 + 17.1279i −0.0741767 + 0.705744i
\(590\) −2.99669 + 0.636966i −0.123372 + 0.0262235i
\(591\) 17.8218 1.86019i 0.733093 0.0765180i
\(592\) −0.837737 7.97054i −0.0344308 0.327587i
\(593\) −39.6596 −1.62863 −0.814313 0.580426i \(-0.802886\pi\)
−0.814313 + 0.580426i \(0.802886\pi\)
\(594\) −3.58455 + 7.65536i −0.147076 + 0.314103i
\(595\) −19.2517 −0.789244
\(596\) 0.745038 + 7.08856i 0.0305179 + 0.290359i
\(597\) −45.6123 + 4.76087i −1.86679 + 0.194849i
\(598\) −14.3705 + 3.05454i −0.587652 + 0.124909i
\(599\) 2.12996 20.2652i 0.0870276 0.828013i −0.860739 0.509047i \(-0.829998\pi\)
0.947766 0.318965i \(-0.103335\pi\)
\(600\) −1.37794 6.50569i −0.0562540 0.265594i
\(601\) −32.3670 35.9472i −1.32028 1.46632i −0.781560 0.623830i \(-0.785576\pi\)
−0.538717 0.842487i \(-0.681091\pi\)
\(602\) −4.96914 15.2935i −0.202527 0.623315i
\(603\) −6.21537 6.92287i −0.253109 0.281921i
\(604\) 13.7129 0.557968
\(605\) −18.2370 4.52485i −0.741439 0.183961i
\(606\) −5.75059 + 1.86391i −0.233602 + 0.0757161i
\(607\) −17.9989 8.01364i −0.730554 0.325264i 0.00753068 0.999972i \(-0.497603\pi\)
−0.738085 + 0.674708i \(0.764270\pi\)
\(608\) 14.6921 16.3172i 0.595842 0.661750i
\(609\) 0.00718788 9.99077i 0.000291268 0.404847i
\(610\) 2.94928 1.31310i 0.119413 0.0531660i
\(611\) −3.49397 2.53852i −0.141351 0.102698i
\(612\) 17.0560 + 3.65102i 0.689447 + 0.147584i
\(613\) 1.76690 + 5.43796i 0.0713644 + 0.219637i 0.980377 0.197131i \(-0.0631626\pi\)
−0.909013 + 0.416768i \(0.863163\pi\)
\(614\) 0.835451 + 7.94879i 0.0337161 + 0.320787i
\(615\) −0.858861 0.774442i −0.0346326 0.0312285i
\(616\) 20.4724 3.99159i 0.824858 0.160826i
\(617\) −3.05346 5.28875i −0.122928 0.212917i 0.797993 0.602666i \(-0.205895\pi\)
−0.920921 + 0.389749i \(0.872562\pi\)
\(618\) −0.570711 1.28432i −0.0229574 0.0516631i
\(619\) 1.74084 + 0.370027i 0.0699704 + 0.0148727i 0.242764 0.970085i \(-0.421946\pi\)
−0.172793 + 0.984958i \(0.555279\pi\)
\(620\) 3.62062 11.1431i 0.145408 0.447519i
\(621\) 28.8741 + 26.1114i 1.15868 + 1.04781i
\(622\) 8.48050 + 6.16144i 0.340037 + 0.247051i
\(623\) −18.1044 20.1070i −0.725337 0.805568i
\(624\) 18.0057 1.87938i 0.720805 0.0752354i
\(625\) −9.36756 4.17071i −0.374702 0.166828i
\(626\) 0.764220 + 1.32367i 0.0305444 + 0.0529044i
\(627\) 10.7284 22.9982i 0.428450 0.918460i
\(628\) 0.271963 0.471055i 0.0108525 0.0187971i
\(629\) 8.19556 5.95442i 0.326778 0.237418i
\(630\) −6.92806 5.04878i −0.276021 0.201148i
\(631\) −13.8566 + 42.6461i −0.551621 + 1.69771i 0.153084 + 0.988213i \(0.451079\pi\)
−0.704705 + 0.709501i \(0.748921\pi\)
\(632\) −6.73674 + 2.99939i −0.267973 + 0.119309i
\(633\) 11.9958 + 3.90722i 0.476790 + 0.155298i
\(634\) −8.76303 + 1.86264i −0.348024 + 0.0739748i
\(635\) 12.3385 13.7033i 0.489639 0.543799i
\(636\) −22.5267 + 30.9585i −0.893242 + 1.22758i
\(637\) 9.25852 16.0362i 0.366836 0.635379i
\(638\) 2.75097 + 0.0464448i 0.108912 + 0.00183877i
\(639\) −19.2191 8.59006i −0.760297 0.339818i
\(640\) −15.6290 + 11.3552i −0.617792 + 0.448852i
\(641\) 26.4193 + 5.61560i 1.04350 + 0.221803i 0.697614 0.716473i \(-0.254245\pi\)
0.345887 + 0.938276i \(0.387578\pi\)
\(642\) 2.43398 1.40293i 0.0960616 0.0553691i
\(643\) 3.40317 32.3790i 0.134208 1.27690i −0.695426 0.718597i \(-0.744784\pi\)
0.829634 0.558307i \(-0.188549\pi\)
\(644\) 4.69918 44.7097i 0.185174 1.76181i
\(645\) 24.6200 + 14.2380i 0.969412 + 0.560621i
\(646\) 7.00398 + 1.48874i 0.275568 + 0.0585738i
\(647\) 25.4705 18.5054i 1.00135 0.727523i 0.0389724 0.999240i \(-0.487592\pi\)
0.962377 + 0.271717i \(0.0875916\pi\)
\(648\) 11.0692 + 12.3649i 0.434838 + 0.485741i
\(649\) −9.68953 7.29290i −0.380347 0.286271i
\(650\) 2.04149 3.53596i 0.0800736 0.138692i
\(651\) 9.35173 + 21.0451i 0.366523 + 0.824821i
\(652\) −12.9431 + 14.3748i −0.506892 + 0.562961i
\(653\) 4.55794 0.968821i 0.178366 0.0379129i −0.117863 0.993030i \(-0.537604\pi\)
0.296229 + 0.955117i \(0.404271\pi\)
\(654\) 0.969445 + 4.57707i 0.0379083 + 0.178978i
\(655\) −33.0133 + 14.6985i −1.28994 + 0.574318i
\(656\) 0.315782 0.971878i 0.0123292 0.0379455i
\(657\) −4.78172 + 44.8738i −0.186553 + 1.75069i
\(658\) −1.46197 + 1.06219i −0.0569937 + 0.0414084i
\(659\) 16.0209 27.7490i 0.624086 1.08095i −0.364631 0.931152i \(-0.618805\pi\)
0.988717 0.149797i \(-0.0478619\pi\)
\(660\) −10.3922 + 13.7866i −0.404515 + 0.536644i
\(661\) 20.3527 + 35.2519i 0.791627 + 1.37114i 0.924959 + 0.380067i \(0.124099\pi\)
−0.133331 + 0.991072i \(0.542567\pi\)
\(662\) −1.68757 0.751356i −0.0655894 0.0292023i
\(663\) 13.4369 + 18.5223i 0.521846 + 0.719347i
\(664\) −0.154190 0.171245i −0.00598373 0.00664561i
\(665\) 20.8211 + 15.1274i 0.807406 + 0.586615i
\(666\) 4.51086 + 0.00649071i 0.174792 + 0.000251510i
\(667\) 3.91560 12.0510i 0.151613 0.466616i
\(668\) −30.2441 6.42857i −1.17018 0.248729i
\(669\) 40.4945 + 4.28560i 1.56561 + 0.165691i
\(670\) 1.29917 + 2.25023i 0.0501914 + 0.0869340i
\(671\) 11.5853 + 5.39424i 0.447245 + 0.208242i
\(672\) 6.12503 28.7144i 0.236278 1.10768i
\(673\) 3.94736 + 37.5567i 0.152160 + 1.44770i 0.758072 + 0.652171i \(0.226142\pi\)
−0.605912 + 0.795532i \(0.707192\pi\)
\(674\) −0.904299 2.78315i −0.0348323 0.107203i
\(675\) −10.7622 + 1.10767i −0.414238 + 0.0426344i
\(676\) 4.24655 + 3.08530i 0.163329 + 0.118665i
\(677\) 17.2666 7.68759i 0.663610 0.295458i −0.0471552 0.998888i \(-0.515016\pi\)
0.710765 + 0.703429i \(0.248349\pi\)
\(678\) 12.0679 + 6.97900i 0.463466 + 0.268027i
\(679\) 0.783119 0.869742i 0.0300534 0.0333776i
\(680\) −9.50895 4.23366i −0.364652 0.162353i
\(681\) 15.3359 + 13.8285i 0.587672 + 0.529908i
\(682\) −5.83647 + 2.48137i −0.223490 + 0.0950167i
\(683\) 31.1053 1.19021 0.595105 0.803648i \(-0.297110\pi\)
0.595105 + 0.803648i \(0.297110\pi\)
\(684\) −15.5775 17.3507i −0.595620 0.663420i
\(685\) 1.68941 + 5.19948i 0.0645492 + 0.198662i
\(686\) 2.65099 + 2.94423i 0.101215 + 0.112411i
\(687\) −5.03549 1.64014i −0.192116 0.0625751i
\(688\) −2.62692 + 24.9935i −0.100150 + 0.952868i
\(689\) −49.1314 + 10.4432i −1.87176 + 0.397854i
\(690\) −6.38431 8.80055i −0.243046 0.335031i
\(691\) −2.32172 22.0897i −0.0883225 0.840333i −0.945568 0.325425i \(-0.894493\pi\)
0.857245 0.514908i \(-0.172174\pi\)
\(692\) −21.7565 −0.827057
\(693\) −2.92825 33.8077i −0.111235 1.28425i
\(694\) −11.9432 −0.453358
\(695\) 2.67716 + 25.4715i 0.101551 + 0.966189i
\(696\) 2.20063 4.93314i 0.0834146 0.186990i
\(697\) 1.26345 0.268554i 0.0478565 0.0101722i
\(698\) 0.858360 8.16675i 0.0324894 0.309116i
\(699\) −31.5964 + 28.4084i −1.19508 + 1.07450i
\(700\) 8.36004 + 9.28477i 0.315980 + 0.350931i
\(701\) −9.25374 28.4801i −0.349509 1.07568i −0.959125 0.282981i \(-0.908677\pi\)
0.609616 0.792697i \(-0.291323\pi\)
\(702\) −0.0219924 + 10.1894i −0.000830050 + 0.384574i
\(703\) −13.5424 −0.510763
\(704\) −9.02018 2.07704i −0.339961 0.0782814i
\(705\) 0.666757 3.12578i 0.0251115 0.117724i
\(706\) 3.59874 + 1.60226i 0.135440 + 0.0603020i
\(707\) 16.2384 18.0345i 0.610707 0.678258i
\(708\) −9.65407 + 5.56453i −0.362822 + 0.209128i
\(709\) 15.7182 6.99820i 0.590310 0.262823i −0.0897681 0.995963i \(-0.528613\pi\)
0.680078 + 0.733140i \(0.261946\pi\)
\(710\) 4.75647 + 3.45578i 0.178507 + 0.129693i
\(711\) 3.69098 + 11.4155i 0.138422 + 0.428115i
\(712\) −4.52052 13.9127i −0.169414 0.521402i
\(713\) 3.05304 + 29.0477i 0.114337 + 1.08785i
\(714\) 9.10833 2.95223i 0.340871 0.110485i
\(715\) −22.2311 + 4.33449i −0.831398 + 0.162101i
\(716\) 19.2500 + 33.3420i 0.719407 + 1.24605i
\(717\) 7.08326 9.73453i 0.264529 0.363543i
\(718\) −13.8295 2.93956i −0.516114 0.109703i
\(719\) 1.46013 4.49382i 0.0544537 0.167591i −0.920131 0.391611i \(-0.871918\pi\)
0.974585 + 0.224020i \(0.0719180\pi\)
\(720\) 6.68202 + 11.6122i 0.249024 + 0.432759i
\(721\) 4.56446 + 3.31628i 0.169989 + 0.123505i
\(722\) −0.169236 0.187955i −0.00629829 0.00699496i
\(723\) −5.48313 + 12.2915i −0.203920 + 0.457126i
\(724\) 7.04028 + 3.13454i 0.261650 + 0.116494i
\(725\) 1.76074 + 3.04969i 0.0653923 + 0.113263i
\(726\) 9.32212 0.655841i 0.345976 0.0243405i
\(727\) −2.60044 + 4.50410i −0.0964450 + 0.167048i −0.910211 0.414145i \(-0.864081\pi\)
0.813766 + 0.581193i \(0.197414\pi\)
\(728\) 20.3408 14.7784i 0.753879 0.547725i
\(729\) 21.9118 15.7758i 0.811547 0.584287i
\(730\) 3.89468 11.9866i 0.144149 0.443644i
\(731\) −29.0195 + 12.9203i −1.07333 + 0.477876i
\(732\) 8.73177 7.85076i 0.322736 0.290172i
\(733\) 47.9910 10.2008i 1.77259 0.376775i 0.798332 0.602217i \(-0.205716\pi\)
0.974257 + 0.225442i \(0.0723826\pi\)
\(734\) −7.33320 + 8.14435i −0.270673 + 0.300613i
\(735\) 13.6274 + 1.44221i 0.502653 + 0.0531966i
\(736\) 18.6187 32.2485i 0.686294 1.18870i
\(737\) −3.34308 + 9.72706i −0.123144 + 0.358301i
\(738\) 0.525102 + 0.234697i 0.0193293 + 0.00863930i
\(739\) 12.6160 9.16603i 0.464086 0.337178i −0.331046 0.943615i \(-0.607402\pi\)
0.795132 + 0.606437i \(0.207402\pi\)
\(740\) 9.01179 + 1.91552i 0.331280 + 0.0704157i
\(741\) 0.0220084 30.5905i 0.000808499 1.12377i
\(742\) −2.19690 + 20.9021i −0.0806506 + 0.767339i
\(743\) −1.16387 + 11.0734i −0.0426981 + 0.406245i 0.952209 + 0.305448i \(0.0988061\pi\)
−0.994907 + 0.100798i \(0.967861\pi\)
\(744\) −0.00895810 + 12.4513i −0.000328420 + 0.456486i
\(745\) −6.76882 1.43876i −0.247990 0.0527119i
\(746\) 2.80897 2.04083i 0.102844 0.0747202i
\(747\) −0.303615 + 0.219923i −0.0111087 + 0.00804655i
\(748\) −5.64842 18.4374i −0.206527 0.674140i
\(749\) −5.63901 + 9.76705i −0.206045 + 0.356880i
\(750\) 10.2205 + 1.08165i 0.373200 + 0.0394964i
\(751\) −5.41006 + 6.00848i −0.197416 + 0.219252i −0.833722 0.552184i \(-0.813795\pi\)
0.636307 + 0.771436i \(0.280461\pi\)
\(752\) 2.76248 0.587184i 0.100737 0.0214124i
\(753\) 0.421391 0.378874i 0.0153563 0.0138069i
\(754\) 3.02981 1.34896i 0.110339 0.0491262i
\(755\) −4.11410 + 12.6619i −0.149727 + 0.460814i
\(756\) −29.6327 9.69902i −1.07773 0.352750i
\(757\) −24.1585 + 17.5522i −0.878056 + 0.637945i −0.932737 0.360559i \(-0.882586\pi\)
0.0546803 + 0.998504i \(0.482586\pi\)
\(758\) −5.97081 + 10.3417i −0.216869 + 0.375629i
\(759\) 9.68771 41.9338i 0.351641 1.52210i
\(760\) 6.95742 + 12.0506i 0.252372 + 0.437121i
\(761\) 31.8760 + 14.1921i 1.15550 + 0.514463i 0.892817 0.450419i \(-0.148725\pi\)
0.262685 + 0.964882i \(0.415392\pi\)
\(762\) −3.73618 + 8.37538i −0.135348 + 0.303408i
\(763\) −12.5677 13.9578i −0.454980 0.505306i
\(764\) 17.8134 + 12.9422i 0.644468 + 0.468233i
\(765\) −8.48829 + 14.6534i −0.306895 + 0.529796i
\(766\) 2.67339 8.22786i 0.0965936 0.297284i
\(767\) −14.2991 3.03937i −0.516312 0.109745i
\(768\) −0.0351569 + 0.0483161i −0.00126861 + 0.00174346i
\(769\) 2.80362 + 4.85600i 0.101101 + 0.175112i 0.912139 0.409882i \(-0.134430\pi\)
−0.811038 + 0.584994i \(0.801097\pi\)
\(770\) −1.14961 + 9.40730i −0.0414291 + 0.339016i
\(771\) −22.6210 + 7.33203i −0.814677 + 0.264057i
\(772\) −2.31095 21.9872i −0.0831728 0.791337i
\(773\) −3.34979 10.3096i −0.120483 0.370810i 0.872568 0.488493i \(-0.162453\pi\)
−0.993051 + 0.117683i \(0.962453\pi\)
\(774\) −13.8315 2.96079i −0.497165 0.106424i
\(775\) −6.56697 4.77118i −0.235893 0.171386i
\(776\) 0.578070 0.257373i 0.0207515 0.00923916i
\(777\) −15.6891 + 9.04306i −0.562843 + 0.324418i
\(778\) 5.86928 6.51849i 0.210424 0.233699i
\(779\) −1.57746 0.702332i −0.0565185 0.0251636i
\(780\) −4.34153 + 20.3533i −0.155452 + 0.728764i
\(781\) 2.04166 + 23.1835i 0.0730562 + 0.829572i
\(782\) 12.1436 0.434255
\(783\) −7.60130 4.41051i −0.271648 0.157619i
\(784\) 3.74186 + 11.5163i 0.133638 + 0.411295i
\(785\) 0.353359 + 0.392445i 0.0126119 + 0.0140070i
\(786\) 13.3652 12.0167i 0.476721 0.428621i
\(787\) 0.258858 2.46286i 0.00922727 0.0877916i −0.988939 0.148322i \(-0.952613\pi\)
0.998166 + 0.0605308i \(0.0192793\pi\)
\(788\) −17.8040 + 3.78436i −0.634242 + 0.134812i
\(789\) −11.8928 + 26.6599i −0.423394 + 0.949119i
\(790\) −0.350241 3.33232i −0.0124610 0.118559i
\(791\) −55.9640 −1.98985
\(792\) 5.98833 17.3425i 0.212786 0.616239i
\(793\) 15.4047 0.547037
\(794\) −1.12485 10.7022i −0.0399195 0.379808i
\(795\) −21.8274 30.0883i −0.774138 1.06712i
\(796\) 45.5667 9.68549i 1.61507 0.343293i
\(797\) 1.01180 9.62666i 0.0358399 0.340994i −0.961878 0.273478i \(-0.911826\pi\)
0.997718 0.0675160i \(-0.0215074\pi\)
\(798\) −12.1706 3.96414i −0.430834 0.140329i
\(799\) 2.38866 + 2.65287i 0.0845047 + 0.0938520i
\(800\) 3.19795 + 9.84226i 0.113064 + 0.347977i
\(801\) −23.2868 + 4.91475i −0.822799 + 0.173654i
\(802\) −2.65237 −0.0936586
\(803\) 45.9135 19.5201i 1.62025 0.688850i
\(804\) 7.01861 + 6.32873i 0.247527 + 0.223197i
\(805\) 39.8733 + 17.7527i 1.40535 + 0.625702i
\(806\) −5.11539 + 5.68121i −0.180182 + 0.200112i
\(807\) 18.5884 + 10.7498i 0.654341 + 0.378412i
\(808\) 11.9866 5.33676i 0.421686 0.187747i
\(809\) 6.36318 + 4.62312i 0.223717 + 0.162540i 0.693998 0.719976i \(-0.255847\pi\)
−0.470281 + 0.882517i \(0.655847\pi\)
\(810\) −6.89753 + 3.04722i −0.242354 + 0.107069i
\(811\) 12.2076 + 37.5712i 0.428668 + 1.31930i 0.899438 + 0.437048i \(0.143976\pi\)
−0.470770 + 0.882256i \(0.656024\pi\)
\(812\) 1.06082 + 10.0930i 0.0372275 + 0.354196i
\(813\) −6.96269 + 32.6414i −0.244192 + 1.14478i
\(814\) −2.42022 4.36030i −0.0848286 0.152829i
\(815\) −9.38994 16.2639i −0.328915 0.569698i
\(816\) −14.8808 1.57486i −0.520931 0.0551310i
\(817\) 41.5375 + 8.82907i 1.45321 + 0.308890i
\(818\) −3.58013 + 11.0185i −0.125176 + 0.385253i
\(819\) −20.4015 35.4542i −0.712887 1.23887i
\(820\) 0.950378 + 0.690490i 0.0331886 + 0.0241130i
\(821\) −2.24401 2.49222i −0.0783165 0.0869792i 0.702713 0.711473i \(-0.251972\pi\)
−0.781029 + 0.624494i \(0.785305\pi\)
\(822\) −1.59663 2.20090i −0.0556888 0.0767651i
\(823\) 14.7097 + 6.54920i 0.512749 + 0.228291i 0.646766 0.762688i \(-0.276121\pi\)
−0.134017 + 0.990979i \(0.542788\pi\)
\(824\) 1.52523 + 2.64177i 0.0531339 + 0.0920306i
\(825\) 6.85906 + 9.79884i 0.238802 + 0.341152i
\(826\) −3.05841 + 5.29732i −0.106416 + 0.184317i
\(827\) −12.3703 + 8.98751i −0.430156 + 0.312526i −0.781711 0.623641i \(-0.785653\pi\)
0.351555 + 0.936167i \(0.385653\pi\)
\(828\) −31.9588 23.2898i −1.11065 0.809376i
\(829\) −13.0239 + 40.0835i −0.452340 + 1.39216i 0.421890 + 0.906647i \(0.361367\pi\)
−0.874230 + 0.485512i \(0.838633\pi\)
\(830\) 0.0956507 0.0425864i 0.00332008 0.00147820i
\(831\) 3.71495 + 17.5395i 0.128870 + 0.608438i
\(832\) −10.9138 + 2.31980i −0.378369 + 0.0804247i
\(833\) −10.2415 + 11.3743i −0.354847 + 0.394098i
\(834\) −5.17264 11.6405i −0.179114 0.403077i
\(835\) 15.0096 25.9975i 0.519430 0.899679i
\(836\) −8.37869 + 24.3788i −0.289783 + 0.843157i
\(837\) 20.1417 + 2.16094i 0.696199 + 0.0746930i
\(838\) −7.19483 + 5.22735i −0.248541 + 0.180576i
\(839\) −2.58954 0.550423i −0.0894008 0.0190027i 0.162994 0.986627i \(-0.447885\pi\)
−0.252395 + 0.967624i \(0.581218\pi\)
\(840\) 16.1071 + 9.31492i 0.555749 + 0.321395i
\(841\) 2.73233 25.9963i 0.0942181 0.896426i
\(842\) −0.656889 + 6.24988i −0.0226379 + 0.215385i
\(843\) 24.6639 14.2161i 0.849471 0.489628i
\(844\) −12.5354 2.66447i −0.431485 0.0917150i
\(845\) −4.12288 + 2.99545i −0.141831 + 0.103047i
\(846\) 0.163882 + 1.58111i 0.00563436 + 0.0543597i
\(847\) −31.0780 + 21.0141i −1.06785 + 0.722053i
\(848\) 16.4232 28.4458i 0.563976 0.976834i
\(849\) 1.28909 1.77160i 0.0442415 0.0608012i
\(850\) −2.25823 + 2.50802i −0.0774567 + 0.0860244i
\(851\) −22.4651 + 4.77510i −0.770093 + 0.163688i
\(852\) 20.3327 + 6.62266i 0.696586 + 0.226889i
\(853\) 8.46891 3.77060i 0.289970 0.129103i −0.256597 0.966519i \(-0.582601\pi\)
0.546567 + 0.837416i \(0.315935\pi\)
\(854\) 1.99185 6.13027i 0.0681596 0.209774i
\(855\) 20.6944 9.17809i 0.707734 0.313884i
\(856\) −4.93314 + 3.58414i −0.168611 + 0.122503i
\(857\) 10.2678 17.7844i 0.350742 0.607502i −0.635638 0.771987i \(-0.719263\pi\)
0.986380 + 0.164485i \(0.0525962\pi\)
\(858\) 9.85326 5.45985i 0.336385 0.186396i
\(859\) −18.0139 31.2010i −0.614626 1.06456i −0.990450 0.137872i \(-0.955974\pi\)
0.375824 0.926691i \(-0.377360\pi\)
\(860\) −26.3922 11.7506i −0.899968 0.400691i
\(861\) −2.29650 + 0.239701i −0.0782645 + 0.00816900i
\(862\) 2.15931 + 2.39816i 0.0735464 + 0.0816815i
\(863\) −3.49209 2.53715i −0.118872 0.0863656i 0.526761 0.850014i \(-0.323406\pi\)
−0.645633 + 0.763648i \(0.723406\pi\)
\(864\) −19.1553 17.3226i −0.651678 0.589326i
\(865\) 6.52733 20.0890i 0.221936 0.683048i
\(866\) 6.71579 + 1.42749i 0.228212 + 0.0485079i
\(867\) 4.27621 + 9.62316i 0.145228 + 0.326820i
\(868\) −11.6966 20.2591i −0.397008 0.687637i
\(869\) 9.04022 9.70557i 0.306668 0.329239i
\(870\) 1.82279 + 1.64362i 0.0617984 + 0.0557241i
\(871\) 1.29598 + 12.3304i 0.0439127 + 0.417801i
\(872\) −3.13804 9.65790i −0.106268 0.327058i
\(873\) −0.316717 0.979549i −0.0107193 0.0331527i
\(874\) −13.1335 9.54206i −0.444248 0.322765i
\(875\) −37.6919 + 16.7815i −1.27422 + 0.567319i
\(876\) 0.0329803 45.8408i 0.00111430 1.54882i
\(877\) 20.8207 23.1237i 0.703064 0.780832i −0.280797 0.959767i \(-0.590599\pi\)
0.983861 + 0.178935i \(0.0572653\pi\)
\(878\) −11.2821 5.02310i −0.380752 0.169522i
\(879\) −39.6879 + 12.8638i −1.33864 + 0.433886i
\(880\) 7.62119 12.7002i 0.256910 0.428125i
\(881\) 43.9267 1.47993 0.739964 0.672647i \(-0.234843\pi\)
0.739964 + 0.672647i \(0.234843\pi\)
\(882\) −6.66851 + 1.40741i −0.224540 + 0.0473900i
\(883\) −1.81685 5.59170i −0.0611420 0.188176i 0.915820 0.401589i \(-0.131542\pi\)
−0.976962 + 0.213413i \(0.931542\pi\)
\(884\) −15.5535 17.2740i −0.523122 0.580986i
\(885\) −2.24166 10.5836i −0.0753527 0.355765i
\(886\) 1.37520 13.0842i 0.0462009 0.439572i
\(887\) 7.52695 1.59990i 0.252730 0.0537195i −0.0798043 0.996811i \(-0.525430\pi\)
0.332534 + 0.943091i \(0.392096\pi\)
\(888\) −9.73794 + 1.01642i −0.326784 + 0.0341087i
\(889\) −3.84835 36.6146i −0.129070 1.22801i
\(890\) 6.64689 0.222804
\(891\) −27.0238 12.6773i −0.905331 0.424707i
\(892\) −41.3640 −1.38497
\(893\) −0.498831 4.74606i −0.0166927 0.158821i
\(894\) 3.42308 0.357290i 0.114485 0.0119496i
\(895\) −36.5620 + 7.77150i −1.22213 + 0.259773i
\(896\) −4.03178 + 38.3598i −0.134692 + 1.28151i
\(897\) −10.7498 50.7533i −0.358925 1.69460i
\(898\) −4.65257 5.16720i −0.155258 0.172432i
\(899\) −2.03751 6.27081i −0.0679547 0.209143i
\(900\) 10.7531 2.26948i 0.358437 0.0756493i
\(901\) 41.5180 1.38316
\(902\) −0.0557818 0.633417i −0.00185733 0.0210905i
\(903\) 54.0174 17.5084i 1.79759 0.582642i
\(904\) −27.6422 12.3071i −0.919365 0.409328i
\(905\) −5.00651 + 5.56030i −0.166422 + 0.184830i
\(906\) 0.00476382 6.62146i 0.000158267 0.219983i
\(907\) −17.3487 + 7.72415i −0.576055 + 0.256476i −0.674019 0.738714i \(-0.735434\pi\)
0.0979642 + 0.995190i \(0.468767\pi\)
\(908\) −16.9700 12.3294i −0.563170 0.409167i
\(909\) −6.56729 20.3114i −0.217823 0.673688i
\(910\) 3.53024 + 10.8650i 0.117026 + 0.360170i
\(911\) −5.23011 49.7612i −0.173281 1.64866i −0.643015 0.765853i \(-0.722317\pi\)
0.469734 0.882808i \(-0.344350\pi\)
\(912\) 14.8563 + 13.3961i 0.491943 + 0.443588i
\(913\) 0.375733 + 0.174946i 0.0124349 + 0.00578985i
\(914\) 6.04320 + 10.4671i 0.199891 + 0.346222i
\(915\) 4.62938 + 10.4179i 0.153043 + 0.344406i
\(916\) 5.26198 + 1.11847i 0.173861 + 0.0369552i
\(917\) −22.2961 + 68.6205i −0.736284 + 2.26605i
\(918\) 1.76887 8.23446i 0.0583815 0.271778i
\(919\) −2.48708 1.80697i −0.0820411 0.0596063i 0.546009 0.837780i \(-0.316147\pi\)
−0.628050 + 0.778173i \(0.716147\pi\)
\(920\) 15.7905 + 17.5371i 0.520598 + 0.578182i
\(921\) −28.0712 + 2.92998i −0.924976 + 0.0965462i
\(922\) 11.7603 + 5.23600i 0.387303 + 0.172439i
\(923\) 14.0270 + 24.2955i 0.461705 + 0.799696i
\(924\) 6.57227 + 33.8381i 0.216212 + 1.11319i
\(925\) 3.19142 5.52769i 0.104933 0.181749i
\(926\) 5.03648 3.65922i 0.165509 0.120249i
\(927\) 4.53670 2.01205i 0.149005 0.0660845i
\(928\) −2.59765 + 7.99474i −0.0852720 + 0.262440i
\(929\) −0.827283 + 0.368330i −0.0271423 + 0.0120845i −0.420263 0.907402i \(-0.638062\pi\)
0.393121 + 0.919487i \(0.371395\pi\)
\(930\) −5.37937 1.75214i −0.176396 0.0574550i
\(931\) 20.0140 4.25410i 0.655931 0.139422i
\(932\) 28.8803 32.0748i 0.946004 1.05064i
\(933\) −21.7791 + 29.9310i −0.713014 + 0.979897i
\(934\) −6.79433 + 11.7681i −0.222317 + 0.385065i
\(935\) 18.7190 + 0.316034i 0.612177 + 0.0103354i
\(936\) −2.28012 21.9983i −0.0745280 0.719037i
\(937\) 17.8423 12.9632i 0.582881 0.423488i −0.256881 0.966443i \(-0.582695\pi\)
0.839762 + 0.542955i \(0.182695\pi\)
\(938\) 5.07445 + 1.07861i 0.165687 + 0.0352178i
\(939\) −4.67613 + 2.69528i −0.152600 + 0.0879571i
\(940\) −0.339362 + 3.22882i −0.0110688 + 0.105312i
\(941\) −0.570822 + 5.43101i −0.0186083 + 0.177046i −0.999878 0.0155906i \(-0.995037\pi\)
0.981270 + 0.192636i \(0.0617038\pi\)
\(942\) −0.227361 0.131485i −0.00740783 0.00428402i
\(943\) −2.86444 0.608856i −0.0932791 0.0198271i
\(944\) 7.73386 5.61898i 0.251716 0.182882i
\(945\) 17.8460 24.4518i 0.580531 0.795417i
\(946\) 4.58059 + 14.9519i 0.148928 + 0.486127i
\(947\) −16.2203 + 28.0944i −0.527089 + 0.912945i 0.472412 + 0.881378i \(0.343383\pi\)
−0.999502 + 0.0315677i \(0.989950\pi\)
\(948\) −4.94886 11.1369i −0.160732 0.361709i
\(949\) 40.2410 44.6921i 1.30628 1.45077i
\(950\) 4.41304 0.938020i 0.143178 0.0304334i
\(951\) −6.55516 30.9491i −0.212566 1.00359i
\(952\) −18.9854 + 8.45287i −0.615322 + 0.273959i
\(953\) −16.6278 + 51.1752i −0.538628 + 1.65773i 0.197049 + 0.980394i \(0.436864\pi\)
−0.735677 + 0.677333i \(0.763136\pi\)
\(954\) 14.9410 + 10.8881i 0.483731 + 0.352516i
\(955\) −17.2947 + 12.5653i −0.559642 + 0.406604i
\(956\) −6.11452 + 10.5907i −0.197758 + 0.342527i
\(957\) −0.170996 + 9.71421i −0.00552753 + 0.314016i
\(958\) −3.83130 6.63600i −0.123784 0.214400i
\(959\) 9.97177 + 4.43972i 0.322005 + 0.143366i
\(960\) −4.84864 6.68368i −0.156489 0.215715i
\(961\) −10.5733 11.7429i −0.341075 0.378802i
\(962\) −4.86330 3.53339i −0.156799 0.113921i
\(963\) 4.94788 + 8.59853i 0.159443 + 0.277084i
\(964\) 4.22478 13.0025i 0.136071 0.418784i
\(965\) 20.9954 + 4.46271i 0.675866 + 0.143660i
\(966\) −21.5871 2.28460i −0.694555 0.0735059i
\(967\) 14.4075 + 24.9546i 0.463315 + 0.802486i 0.999124 0.0418540i \(-0.0133264\pi\)
−0.535809 + 0.844340i \(0.679993\pi\)
\(968\) −19.9715 + 3.54507i −0.641908 + 0.113943i
\(969\) −5.27490 + 24.7289i −0.169454 + 0.794408i
\(970\) 0.0300537 + 0.285941i 0.000964965 + 0.00918102i
\(971\) 1.66685 + 5.13005i 0.0534919 + 0.164631i 0.974233 0.225542i \(-0.0724152\pi\)
−0.920742 + 0.390173i \(0.872415\pi\)
\(972\) −20.4478 + 18.2785i −0.655864 + 0.586284i
\(973\) 41.3700 + 30.0571i 1.32626 + 0.963586i
\(974\) −12.0657 + 5.37199i −0.386609 + 0.172130i
\(975\) 12.4811 + 7.21795i 0.399715 + 0.231159i
\(976\) −6.74058 + 7.48618i −0.215761 + 0.239627i
\(977\) −3.02599 1.34726i −0.0968100 0.0431026i 0.357760 0.933813i \(-0.383540\pi\)
−0.454570 + 0.890711i \(0.650207\pi\)
\(978\) 6.93659 + 6.25478i 0.221808 + 0.200006i
\(979\) 17.2734 + 19.8478i 0.552059 + 0.634338i
\(980\) −13.9200 −0.444657
\(981\) −16.1652 + 3.41171i −0.516114 + 0.108928i
\(982\) −5.91123 18.1929i −0.188635 0.580559i
\(983\) 22.6649 + 25.1719i 0.722897 + 0.802859i 0.986843 0.161679i \(-0.0516908\pi\)
−0.263946 + 0.964537i \(0.585024\pi\)
\(984\) −1.18702 0.386630i −0.0378407 0.0123253i
\(985\) 1.84719 17.5749i 0.0588565 0.559982i
\(986\) −2.68146 + 0.569962i −0.0853951 + 0.0181513i
\(987\) −3.74712 5.16528i −0.119272 0.164413i
\(988\) 3.24810 + 30.9036i 0.103336 + 0.983174i
\(989\) 72.0183 2.29005
\(990\) 6.65348 + 5.02281i 0.211461 + 0.159635i
\(991\) 8.66640 0.275297 0.137649 0.990481i \(-0.456046\pi\)
0.137649 + 0.990481i \(0.456046\pi\)
\(992\) −2.02542 19.2706i −0.0643071 0.611841i
\(993\) 2.65750 5.95731i 0.0843333 0.189049i
\(994\) 11.4821 2.44059i 0.364189 0.0774107i
\(995\) −4.72761 + 44.9802i −0.149875 + 1.42597i
\(996\) 0.283188 0.254615i 0.00897316 0.00806779i
\(997\) −20.2515 22.4916i −0.641372 0.712316i 0.331553 0.943437i \(-0.392427\pi\)
−0.972925 + 0.231121i \(0.925761\pi\)
\(998\) 3.64303 + 11.2121i 0.115318 + 0.354912i
\(999\) −0.0343803 + 15.9289i −0.00108775 + 0.503969i
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.25.5 yes 72
3.2 odd 2 297.2.n.b.289.5 72
9.2 odd 6 891.2.f.e.487.5 36
9.4 even 3 inner 99.2.m.b.58.5 yes 72
9.5 odd 6 297.2.n.b.91.5 72
9.7 even 3 891.2.f.f.487.5 36
11.2 odd 10 1089.2.e.o.727.9 36
11.4 even 5 inner 99.2.m.b.70.5 yes 72
11.9 even 5 1089.2.e.p.727.10 36
33.26 odd 10 297.2.n.b.235.5 72
99.2 even 30 9801.2.a.cn.1.9 18
99.4 even 15 inner 99.2.m.b.4.5 72
99.13 odd 30 1089.2.e.o.364.9 36
99.20 odd 30 9801.2.a.cp.1.10 18
99.31 even 15 1089.2.e.p.364.10 36
99.59 odd 30 297.2.n.b.37.5 72
99.70 even 15 891.2.f.f.730.5 36
99.79 odd 30 9801.2.a.co.1.10 18
99.92 odd 30 891.2.f.e.730.5 36
99.97 even 15 9801.2.a.cm.1.9 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
99.2.m.b.4.5 72 99.4 even 15 inner
99.2.m.b.25.5 yes 72 1.1 even 1 trivial
99.2.m.b.58.5 yes 72 9.4 even 3 inner
99.2.m.b.70.5 yes 72 11.4 even 5 inner
297.2.n.b.37.5 72 99.59 odd 30
297.2.n.b.91.5 72 9.5 odd 6
297.2.n.b.235.5 72 33.26 odd 10
297.2.n.b.289.5 72 3.2 odd 2
891.2.f.e.487.5 36 9.2 odd 6
891.2.f.e.730.5 36 99.92 odd 30
891.2.f.f.487.5 36 9.7 even 3
891.2.f.f.730.5 36 99.70 even 15
1089.2.e.o.364.9 36 99.13 odd 30
1089.2.e.o.727.9 36 11.2 odd 10
1089.2.e.p.364.10 36 99.31 even 15
1089.2.e.p.727.10 36 11.9 even 5
9801.2.a.cm.1.9 18 99.97 even 15
9801.2.a.cn.1.9 18 99.2 even 30
9801.2.a.co.1.10 18 99.79 odd 30
9801.2.a.cp.1.10 18 99.20 odd 30