Properties

Label 201.2.j.a.5.5
Level $201$
Weight $2$
Character 201.5
Analytic conductor $1.605$
Analytic rank $0$
Dimension $200$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [201,2,Mod(5,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 201.j (of order \(22\), degree \(10\), 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: \(1.60499308063\)
Analytic rank: \(0\)
Dimension: \(200\)
Relative dimension: \(20\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 5.5
Character \(\chi\) \(=\) 201.5
Dual form 201.2.j.a.161.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.16364 + 1.34291i) q^{2} +(-1.67608 + 0.436744i) q^{3} +(-0.164727 - 1.14570i) q^{4} +(-2.73659 + 0.803536i) q^{5} +(1.36385 - 2.75905i) q^{6} +(0.246444 + 0.213545i) q^{7} +(-1.25944 - 0.809393i) q^{8} +(2.61851 - 1.46404i) q^{9} +O(q^{10})\) \(q+(-1.16364 + 1.34291i) q^{2} +(-1.67608 + 0.436744i) q^{3} +(-0.164727 - 1.14570i) q^{4} +(-2.73659 + 0.803536i) q^{5} +(1.36385 - 2.75905i) q^{6} +(0.246444 + 0.213545i) q^{7} +(-1.25944 - 0.809393i) q^{8} +(2.61851 - 1.46404i) q^{9} +(2.10533 - 4.61004i) q^{10} +(1.26890 - 0.372582i) q^{11} +(0.776472 + 1.84834i) q^{12} +(-0.548609 - 0.853653i) q^{13} +(-0.573546 + 0.0824635i) q^{14} +(4.23582 - 2.54198i) q^{15} +(4.77367 - 1.40168i) q^{16} +(-1.39108 - 0.200008i) q^{17} +(-1.08093 + 5.22005i) q^{18} +(-3.53432 - 4.07883i) q^{19} +(1.37140 + 3.00295i) q^{20} +(-0.506326 - 0.250287i) q^{21} +(-0.976197 + 2.13757i) q^{22} +(3.53149 - 1.61278i) q^{23} +(2.46442 + 0.806557i) q^{24} +(2.63700 - 1.69470i) q^{25} +(1.78477 + 0.256611i) q^{26} +(-3.74943 + 3.59747i) q^{27} +(0.204063 - 0.317528i) q^{28} -8.16026i q^{29} +(-1.51531 + 8.64630i) q^{30} +(-3.71822 + 5.78567i) q^{31} +(-2.42868 + 5.31806i) q^{32} +(-1.96406 + 1.17866i) q^{33} +(1.88732 - 1.63537i) q^{34} +(-0.846009 - 0.386360i) q^{35} +(-2.10868 - 2.75886i) q^{36} -5.15496 q^{37} +9.59020 q^{38} +(1.29234 + 1.19119i) q^{39} +(4.09695 + 1.20297i) q^{40} +(0.252333 - 1.75501i) q^{41} +(0.925295 - 0.388708i) q^{42} +(-12.1893 - 1.75256i) q^{43} +(-0.635888 - 1.39240i) q^{44} +(-5.98939 + 6.11054i) q^{45} +(-1.94357 + 6.61918i) q^{46} +(-6.42333 + 2.93344i) q^{47} +(-7.38889 + 4.43419i) q^{48} +(-0.981071 - 6.82350i) q^{49} +(-0.792691 + 5.51329i) q^{50} +(2.41892 - 0.272317i) q^{51} +(-0.887658 + 0.769160i) q^{52} +(-0.147613 - 1.02667i) q^{53} +(-0.468092 - 9.22133i) q^{54} +(-3.17307 + 2.03921i) q^{55} +(-0.137540 - 0.468418i) q^{56} +(7.70522 + 5.29286i) q^{57} +(10.9585 + 9.49562i) q^{58} +(-6.45776 + 10.0485i) q^{59} +(-3.61010 - 4.43424i) q^{60} +(3.05441 - 10.4024i) q^{61} +(-3.44298 - 11.7257i) q^{62} +(0.957955 + 0.198367i) q^{63} +(-0.182042 - 0.398617i) q^{64} +(2.18726 + 1.89527i) q^{65} +(0.702616 - 4.00910i) q^{66} +(7.50914 + 3.25773i) q^{67} +1.62671i q^{68} +(-5.21470 + 4.24550i) q^{69} +(1.50330 - 0.686534i) q^{70} +(8.36871 - 1.20324i) q^{71} +(-4.48284 - 0.275536i) q^{72} +(-3.09394 - 0.908462i) q^{73} +(5.99852 - 6.92267i) q^{74} +(-3.67969 + 3.99215i) q^{75} +(-4.09091 + 4.72116i) q^{76} +(0.392276 + 0.179146i) q^{77} +(-3.10349 + 0.349384i) q^{78} +(0.662273 + 1.03052i) q^{79} +(-11.9373 + 7.67163i) q^{80} +(4.71319 - 7.66719i) q^{81} +(2.06321 + 2.38107i) q^{82} +(-2.69176 - 9.16729i) q^{83} +(-0.203348 + 0.621326i) q^{84} +(3.96754 - 0.570447i) q^{85} +(16.5375 - 14.3298i) q^{86} +(3.56394 + 13.6773i) q^{87} +(-1.89967 - 0.557792i) q^{88} +(4.74109 + 2.16519i) q^{89} +(-1.23643 - 15.1537i) q^{90} +(0.0470918 - 0.327531i) q^{91} +(-2.42949 - 3.78036i) q^{92} +(3.70520 - 11.3212i) q^{93} +(3.53510 - 12.0395i) q^{94} +(12.9495 + 8.32213i) q^{95} +(1.74804 - 9.97422i) q^{96} +2.37799i q^{97} +(10.3050 + 6.62261i) q^{98} +(2.77715 - 2.83332i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 200 q - 11 q^{3} - 34 q^{4} - 7 q^{6} - 22 q^{7} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 200 q - 11 q^{3} - 34 q^{4} - 7 q^{6} - 22 q^{7} + 3 q^{9} - 10 q^{10} - 44 q^{12} - 22 q^{13} - 13 q^{15} - 34 q^{16} - 11 q^{18} - 24 q^{19} + 43 q^{21} - 82 q^{22} + 53 q^{24} - 18 q^{25} - 11 q^{27} - 110 q^{28} + 22 q^{31} - 32 q^{33} - 22 q^{34} + 33 q^{36} - 68 q^{37} - 69 q^{39} + 10 q^{40} - 11 q^{42} - 44 q^{43} + 99 q^{45} + 66 q^{46} + 99 q^{48} + 26 q^{49} - 11 q^{51} + 176 q^{52} - 128 q^{54} + 30 q^{55} - 11 q^{57} + 66 q^{58} + 5 q^{60} - 110 q^{61} - 11 q^{63} + 170 q^{64} - 32 q^{67} - 11 q^{69} - 66 q^{70} - 121 q^{72} + 150 q^{73} - 22 q^{75} - 94 q^{76} - 11 q^{78} + 132 q^{79} + 63 q^{81} + 76 q^{82} - 101 q^{84} - 22 q^{85} + 88 q^{87} - 114 q^{88} - 85 q^{90} - 174 q^{91} - 75 q^{93} + 22 q^{94} - 250 q^{96} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16364 + 1.34291i −0.822819 + 0.949584i −0.999398 0.0347028i \(-0.988952\pi\)
0.176579 + 0.984287i \(0.443497\pi\)
\(3\) −1.67608 + 0.436744i −0.967687 + 0.252154i
\(4\) −0.164727 1.14570i −0.0823633 0.572849i
\(5\) −2.73659 + 0.803536i −1.22384 + 0.359352i −0.828922 0.559364i \(-0.811046\pi\)
−0.394919 + 0.918716i \(0.629227\pi\)
\(6\) 1.36385 2.75905i 0.556790 1.12638i
\(7\) 0.246444 + 0.213545i 0.0931472 + 0.0807125i 0.700190 0.713957i \(-0.253099\pi\)
−0.607042 + 0.794669i \(0.707644\pi\)
\(8\) −1.25944 0.809393i −0.445279 0.286163i
\(9\) 2.61851 1.46404i 0.872837 0.488012i
\(10\) 2.10533 4.61004i 0.665765 1.45782i
\(11\) 1.26890 0.372582i 0.382587 0.112338i −0.0847830 0.996399i \(-0.527020\pi\)
0.467370 + 0.884062i \(0.345202\pi\)
\(12\) 0.776472 + 1.84834i 0.224148 + 0.533571i
\(13\) −0.548609 0.853653i −0.152157 0.236761i 0.756804 0.653642i \(-0.226760\pi\)
−0.908961 + 0.416881i \(0.863123\pi\)
\(14\) −0.573546 + 0.0824635i −0.153287 + 0.0220393i
\(15\) 4.23582 2.54198i 1.09368 0.656337i
\(16\) 4.77367 1.40168i 1.19342 0.350419i
\(17\) −1.39108 0.200008i −0.337387 0.0485090i −0.0284609 0.999595i \(-0.509061\pi\)
−0.308926 + 0.951086i \(0.599970\pi\)
\(18\) −1.08093 + 5.22005i −0.254778 + 1.23038i
\(19\) −3.53432 4.07883i −0.810830 0.935747i 0.188093 0.982151i \(-0.439769\pi\)
−0.998923 + 0.0464038i \(0.985224\pi\)
\(20\) 1.37140 + 3.00295i 0.306654 + 0.671479i
\(21\) −0.506326 0.250287i −0.110489 0.0546170i
\(22\) −0.976197 + 2.13757i −0.208126 + 0.455732i
\(23\) 3.53149 1.61278i 0.736366 0.336287i −0.0116817 0.999932i \(-0.503718\pi\)
0.748048 + 0.663644i \(0.230991\pi\)
\(24\) 2.46442 + 0.806557i 0.503048 + 0.164638i
\(25\) 2.63700 1.69470i 0.527400 0.338940i
\(26\) 1.78477 + 0.256611i 0.350022 + 0.0503255i
\(27\) −3.74943 + 3.59747i −0.721579 + 0.692333i
\(28\) 0.204063 0.317528i 0.0385642 0.0600071i
\(29\) 8.16026i 1.51532i −0.652648 0.757661i \(-0.726342\pi\)
0.652648 0.757661i \(-0.273658\pi\)
\(30\) −1.51531 + 8.64630i −0.276656 + 1.57859i
\(31\) −3.71822 + 5.78567i −0.667812 + 1.03914i 0.327725 + 0.944773i \(0.393718\pi\)
−0.995538 + 0.0943634i \(0.969918\pi\)
\(32\) −2.42868 + 5.31806i −0.429333 + 0.940109i
\(33\) −1.96406 + 1.17866i −0.341898 + 0.205179i
\(34\) 1.88732 1.63537i 0.323672 0.280463i
\(35\) −0.846009 0.386360i −0.143002 0.0653067i
\(36\) −2.10868 2.75886i −0.351447 0.459810i
\(37\) −5.15496 −0.847470 −0.423735 0.905786i \(-0.639281\pi\)
−0.423735 + 0.905786i \(0.639281\pi\)
\(38\) 9.59020 1.55574
\(39\) 1.29234 + 1.19119i 0.206940 + 0.190743i
\(40\) 4.09695 + 1.20297i 0.647784 + 0.190207i
\(41\) 0.252333 1.75501i 0.0394078 0.274087i −0.960585 0.277988i \(-0.910333\pi\)
0.999992 + 0.00390072i \(0.00124164\pi\)
\(42\) 0.925295 0.388708i 0.142776 0.0599790i
\(43\) −12.1893 1.75256i −1.85885 0.267262i −0.880475 0.474093i \(-0.842776\pi\)
−0.978377 + 0.206831i \(0.933685\pi\)
\(44\) −0.635888 1.39240i −0.0958638 0.209912i
\(45\) −5.98939 + 6.11054i −0.892845 + 0.910906i
\(46\) −1.94357 + 6.61918i −0.286563 + 0.975945i
\(47\) −6.42333 + 2.93344i −0.936940 + 0.427886i −0.824557 0.565779i \(-0.808576\pi\)
−0.112383 + 0.993665i \(0.535848\pi\)
\(48\) −7.38889 + 4.43419i −1.06650 + 0.640021i
\(49\) −0.981071 6.82350i −0.140153 0.974785i
\(50\) −0.792691 + 5.51329i −0.112103 + 0.779697i
\(51\) 2.41892 0.272317i 0.338717 0.0381321i
\(52\) −0.887658 + 0.769160i −0.123096 + 0.106663i
\(53\) −0.147613 1.02667i −0.0202762 0.141024i 0.977169 0.212465i \(-0.0681492\pi\)
−0.997445 + 0.0714413i \(0.977240\pi\)
\(54\) −0.468092 9.22133i −0.0636993 1.25486i
\(55\) −3.17307 + 2.03921i −0.427857 + 0.274967i
\(56\) −0.137540 0.468418i −0.0183795 0.0625949i
\(57\) 7.70522 + 5.29286i 1.02058 + 0.701057i
\(58\) 10.9585 + 9.49562i 1.43893 + 1.24684i
\(59\) −6.45776 + 10.0485i −0.840729 + 1.30820i 0.108655 + 0.994080i \(0.465346\pi\)
−0.949383 + 0.314120i \(0.898291\pi\)
\(60\) −3.61010 4.43424i −0.466062 0.572458i
\(61\) 3.05441 10.4024i 0.391077 1.33189i −0.495219 0.868768i \(-0.664912\pi\)
0.886297 0.463118i \(-0.153269\pi\)
\(62\) −3.44298 11.7257i −0.437258 1.48916i
\(63\) 0.957955 + 0.198367i 0.120691 + 0.0249919i
\(64\) −0.182042 0.398617i −0.0227553 0.0498271i
\(65\) 2.18726 + 1.89527i 0.271296 + 0.235080i
\(66\) 0.702616 4.00910i 0.0864861 0.493486i
\(67\) 7.50914 + 3.25773i 0.917388 + 0.397995i
\(68\) 1.62671i 0.197268i
\(69\) −5.21470 + 4.24550i −0.627776 + 0.511099i
\(70\) 1.50330 0.686534i 0.179679 0.0820565i
\(71\) 8.36871 1.20324i 0.993183 0.142798i 0.373483 0.927637i \(-0.378163\pi\)
0.619700 + 0.784839i \(0.287254\pi\)
\(72\) −4.48284 0.275536i −0.528307 0.0324723i
\(73\) −3.09394 0.908462i −0.362118 0.106327i 0.0956121 0.995419i \(-0.469519\pi\)
−0.457730 + 0.889091i \(0.651337\pi\)
\(74\) 5.99852 6.92267i 0.697314 0.804744i
\(75\) −3.67969 + 3.99215i −0.424894 + 0.460974i
\(76\) −4.09091 + 4.72116i −0.469260 + 0.541555i
\(77\) 0.392276 + 0.179146i 0.0447040 + 0.0204156i
\(78\) −3.10349 + 0.349384i −0.351401 + 0.0395600i
\(79\) 0.662273 + 1.03052i 0.0745116 + 0.115942i 0.876510 0.481384i \(-0.159866\pi\)
−0.801998 + 0.597327i \(0.796230\pi\)
\(80\) −11.9373 + 7.67163i −1.33463 + 0.857714i
\(81\) 4.71319 7.66719i 0.523688 0.851910i
\(82\) 2.06321 + 2.38107i 0.227843 + 0.262945i
\(83\) −2.69176 9.16729i −0.295459 1.00624i −0.964734 0.263226i \(-0.915213\pi\)
0.669275 0.743015i \(-0.266605\pi\)
\(84\) −0.203348 + 0.621326i −0.0221871 + 0.0677922i
\(85\) 3.96754 0.570447i 0.430341 0.0618736i
\(86\) 16.5375 14.3298i 1.78329 1.54523i
\(87\) 3.56394 + 13.6773i 0.382095 + 1.46636i
\(88\) −1.89967 0.557792i −0.202505 0.0594608i
\(89\) 4.74109 + 2.16519i 0.502555 + 0.229509i 0.650528 0.759482i \(-0.274548\pi\)
−0.147973 + 0.988991i \(0.547275\pi\)
\(90\) −1.23643 15.1537i −0.130331 1.59734i
\(91\) 0.0470918 0.327531i 0.00493656 0.0343346i
\(92\) −2.42949 3.78036i −0.253292 0.394129i
\(93\) 3.70520 11.3212i 0.384211 1.17395i
\(94\) 3.53510 12.0395i 0.364618 1.24178i
\(95\) 12.9495 + 8.32213i 1.32859 + 0.853833i
\(96\) 1.74804 9.97422i 0.178408 1.01799i
\(97\) 2.37799i 0.241449i 0.992686 + 0.120724i \(0.0385217\pi\)
−0.992686 + 0.120724i \(0.961478\pi\)
\(98\) 10.3050 + 6.62261i 1.04096 + 0.668985i
\(99\) 2.77715 2.83332i 0.279114 0.284760i
\(100\) −2.37600 2.74205i −0.237600 0.274205i
\(101\) 4.54357 + 5.24356i 0.452102 + 0.521754i 0.935347 0.353732i \(-0.115087\pi\)
−0.483245 + 0.875485i \(0.660542\pi\)
\(102\) −2.44906 + 3.56529i −0.242493 + 0.353016i
\(103\) 10.8212 + 6.95437i 1.06625 + 0.685235i 0.951340 0.308142i \(-0.0997071\pi\)
0.114906 + 0.993376i \(0.463343\pi\)
\(104\) 1.51916i 0.148966i
\(105\) 1.58672 + 0.278082i 0.154848 + 0.0271380i
\(106\) 1.55050 + 0.996444i 0.150598 + 0.0967832i
\(107\) 1.17076 3.98725i 0.113182 0.385462i −0.883346 0.468722i \(-0.844715\pi\)
0.996528 + 0.0832592i \(0.0265329\pi\)
\(108\) 4.73924 + 3.70312i 0.456034 + 0.356333i
\(109\) −0.962560 1.49777i −0.0921965 0.143461i 0.792092 0.610402i \(-0.208992\pi\)
−0.884288 + 0.466942i \(0.845356\pi\)
\(110\) 0.953836 6.63408i 0.0909447 0.632534i
\(111\) 8.64014 2.25140i 0.820086 0.213693i
\(112\) 1.47577 + 0.673960i 0.139447 + 0.0636832i
\(113\) −18.8620 5.53838i −1.77439 0.521007i −0.779902 0.625902i \(-0.784731\pi\)
−0.994483 + 0.104895i \(0.966549\pi\)
\(114\) −16.0740 + 4.18846i −1.50547 + 0.392285i
\(115\) −8.36832 + 7.25119i −0.780350 + 0.676177i
\(116\) −9.34920 + 1.34421i −0.868051 + 0.124807i
\(117\) −2.68632 1.43211i −0.248350 0.132399i
\(118\) −5.97971 20.3650i −0.550477 1.87475i
\(119\) −0.300114 0.346350i −0.0275114 0.0317499i
\(120\) −7.39222 0.226966i −0.674814 0.0207191i
\(121\) −7.78250 + 5.00151i −0.707500 + 0.454683i
\(122\) 10.4152 + 16.2064i 0.942952 + 1.46726i
\(123\) 0.343560 + 3.05175i 0.0309778 + 0.275167i
\(124\) 7.24112 + 3.30691i 0.650272 + 0.296969i
\(125\) 3.48407 4.02083i 0.311625 0.359634i
\(126\) −1.38111 + 1.05562i −0.123039 + 0.0940425i
\(127\) −0.0563231 + 0.0650003i −0.00499786 + 0.00576784i −0.758243 0.651972i \(-0.773942\pi\)
0.753245 + 0.657740i \(0.228487\pi\)
\(128\) −10.4720 3.07485i −0.925602 0.271781i
\(129\) 21.1957 2.38617i 1.86618 0.210090i
\(130\) −5.09038 + 0.731885i −0.446455 + 0.0641906i
\(131\) −18.4856 + 8.44208i −1.61509 + 0.737588i −0.998755 0.0498931i \(-0.984112\pi\)
−0.616338 + 0.787481i \(0.711385\pi\)
\(132\) 1.67392 + 2.05606i 0.145696 + 0.178957i
\(133\) 1.75994i 0.152606i
\(134\) −13.1128 + 6.29330i −1.13277 + 0.543658i
\(135\) 7.36997 12.8576i 0.634306 1.10661i
\(136\) 1.59010 + 1.37783i 0.136350 + 0.118148i
\(137\) −6.15425 13.4759i −0.525793 1.15133i −0.967199 0.254019i \(-0.918247\pi\)
0.441406 0.897307i \(-0.354480\pi\)
\(138\) 0.366695 11.9431i 0.0312152 1.01667i
\(139\) −2.54037 8.65171i −0.215471 0.733828i −0.994303 0.106595i \(-0.966005\pi\)
0.778831 0.627234i \(-0.215813\pi\)
\(140\) −0.303291 + 1.03292i −0.0256328 + 0.0872973i
\(141\) 9.48488 7.72204i 0.798771 0.650313i
\(142\) −8.12233 + 12.6386i −0.681611 + 1.06061i
\(143\) −1.01418 0.878796i −0.0848104 0.0734886i
\(144\) 10.4478 10.6591i 0.870650 0.888261i
\(145\) 6.55706 + 22.3313i 0.544534 + 1.85451i
\(146\) 4.82022 3.09777i 0.398924 0.256373i
\(147\) 4.62447 + 11.0083i 0.381420 + 0.907947i
\(148\) 0.849159 + 5.90603i 0.0698004 + 0.485473i
\(149\) −1.75824 + 1.52353i −0.144041 + 0.124812i −0.723901 0.689904i \(-0.757653\pi\)
0.579860 + 0.814716i \(0.303107\pi\)
\(150\) −1.07928 9.58693i −0.0881226 0.782770i
\(151\) −1.47970 + 10.2915i −0.120416 + 0.837511i 0.836670 + 0.547707i \(0.184499\pi\)
−0.957086 + 0.289804i \(0.906410\pi\)
\(152\) 1.14989 + 7.99769i 0.0932688 + 0.648699i
\(153\) −3.93539 + 1.51288i −0.318157 + 0.122309i
\(154\) −0.697047 + 0.318331i −0.0561697 + 0.0256518i
\(155\) 5.52627 18.8207i 0.443881 1.51172i
\(156\) 1.15186 1.67686i 0.0922229 0.134256i
\(157\) 3.14642 + 6.88971i 0.251112 + 0.549859i 0.992646 0.121057i \(-0.0386284\pi\)
−0.741533 + 0.670916i \(0.765901\pi\)
\(158\) −2.15455 0.309777i −0.171406 0.0246445i
\(159\) 0.695803 + 1.65632i 0.0551808 + 0.131354i
\(160\) 2.37305 16.5049i 0.187606 1.30483i
\(161\) 1.21472 + 0.356673i 0.0957331 + 0.0281098i
\(162\) 4.81192 + 15.2513i 0.378060 + 1.19825i
\(163\) −5.28972 −0.414323 −0.207161 0.978307i \(-0.566422\pi\)
−0.207161 + 0.978307i \(0.566422\pi\)
\(164\) −2.05228 −0.160256
\(165\) 4.42772 4.80371i 0.344698 0.373968i
\(166\) 15.4431 + 7.05264i 1.19862 + 0.547391i
\(167\) −17.0003 + 14.7308i −1.31552 + 1.13991i −0.335276 + 0.942120i \(0.608830\pi\)
−0.980245 + 0.197786i \(0.936625\pi\)
\(168\) 0.435107 + 0.725037i 0.0335692 + 0.0559378i
\(169\) 4.97264 10.8886i 0.382511 0.837583i
\(170\) −3.85074 + 5.99187i −0.295338 + 0.459555i
\(171\) −15.2262 5.50607i −1.16438 0.421060i
\(172\) 14.2540i 1.08685i
\(173\) 2.09291 3.25664i 0.159121 0.247598i −0.752534 0.658554i \(-0.771169\pi\)
0.911655 + 0.410956i \(0.134805\pi\)
\(174\) −22.5146 11.1294i −1.70682 0.843716i
\(175\) 1.01177 + 0.145470i 0.0764826 + 0.0109965i
\(176\) 5.53506 3.55717i 0.417221 0.268132i
\(177\) 6.43514 19.6625i 0.483694 1.47792i
\(178\) −8.42459 + 3.84738i −0.631450 + 0.288374i
\(179\) −9.88222 + 21.6390i −0.738632 + 1.61738i 0.0471597 + 0.998887i \(0.484983\pi\)
−0.785792 + 0.618491i \(0.787744\pi\)
\(180\) 7.98745 + 5.85547i 0.595350 + 0.436441i
\(181\) −8.20483 17.9661i −0.609860 1.33541i −0.922670 0.385591i \(-0.873997\pi\)
0.312810 0.949816i \(-0.398730\pi\)
\(182\) 0.385048 + 0.444369i 0.0285416 + 0.0329388i
\(183\) −0.576279 + 18.7692i −0.0425998 + 1.38746i
\(184\) −5.75307 0.827166i −0.424122 0.0609795i
\(185\) 14.1070 4.14220i 1.03717 0.304540i
\(186\) 10.8918 + 18.1495i 0.798628 + 1.33079i
\(187\) −1.83966 + 0.264504i −0.134529 + 0.0193424i
\(188\) 4.41893 + 6.87599i 0.322284 + 0.501483i
\(189\) −1.69225 + 0.0859018i −0.123093 + 0.00624843i
\(190\) −26.2445 + 7.70608i −1.90397 + 0.559057i
\(191\) −0.819804 + 1.79512i −0.0593189 + 0.129890i −0.936970 0.349410i \(-0.886382\pi\)
0.877651 + 0.479300i \(0.159109\pi\)
\(192\) 0.479211 + 0.588609i 0.0345841 + 0.0424792i
\(193\) 19.0702 + 12.2557i 1.37271 + 0.882184i 0.998971 0.0453518i \(-0.0144409\pi\)
0.373734 + 0.927536i \(0.378077\pi\)
\(194\) −3.19344 2.76713i −0.229276 0.198669i
\(195\) −4.49378 2.22136i −0.321806 0.159075i
\(196\) −7.65606 + 2.24802i −0.546862 + 0.160573i
\(197\) 2.21982 + 15.4392i 0.158156 + 1.10000i 0.902029 + 0.431676i \(0.142078\pi\)
−0.743873 + 0.668321i \(0.767013\pi\)
\(198\) 0.573305 + 7.02645i 0.0407430 + 0.499348i
\(199\) −1.93163 + 2.22922i −0.136930 + 0.158025i −0.820073 0.572259i \(-0.806067\pi\)
0.683143 + 0.730285i \(0.260613\pi\)
\(200\) −4.69282 −0.331832
\(201\) −14.0087 2.18066i −0.988100 0.153812i
\(202\) −12.3287 −0.867447
\(203\) 1.74259 2.01105i 0.122305 0.141148i
\(204\) −0.710455 2.72650i −0.0497418 0.190893i
\(205\) 0.719684 + 5.00551i 0.0502649 + 0.349600i
\(206\) −21.9311 + 6.43956i −1.52802 + 0.448666i
\(207\) 6.88608 9.39331i 0.478615 0.652880i
\(208\) −3.81542 3.30608i −0.264552 0.229236i
\(209\) −6.00440 3.85879i −0.415333 0.266918i
\(210\) −2.21982 + 1.80724i −0.153182 + 0.124712i
\(211\) −7.49016 + 16.4012i −0.515644 + 1.12910i 0.455418 + 0.890278i \(0.349490\pi\)
−0.971062 + 0.238826i \(0.923238\pi\)
\(212\) −1.15194 + 0.338240i −0.0791155 + 0.0232304i
\(213\) −13.5011 + 5.67171i −0.925083 + 0.388619i
\(214\) 3.99219 + 6.21197i 0.272901 + 0.424642i
\(215\) 34.7654 4.99851i 2.37098 0.340896i
\(216\) 7.63394 1.49603i 0.519424 0.101792i
\(217\) −2.15184 + 0.631836i −0.146076 + 0.0428918i
\(218\) 3.13145 + 0.450235i 0.212089 + 0.0304938i
\(219\) 5.58246 + 0.171401i 0.377228 + 0.0115822i
\(220\) 2.85901 + 3.29948i 0.192755 + 0.222451i
\(221\) 0.592424 + 1.29723i 0.0398508 + 0.0872610i
\(222\) −7.03060 + 14.2228i −0.471863 + 0.954571i
\(223\) 9.50316 20.8090i 0.636379 1.39348i −0.266607 0.963805i \(-0.585903\pi\)
0.902986 0.429670i \(-0.141370\pi\)
\(224\) −1.73418 + 0.791974i −0.115870 + 0.0529160i
\(225\) 4.42391 8.29825i 0.294928 0.553217i
\(226\) 29.3861 18.8853i 1.95474 1.25623i
\(227\) 20.0650 + 2.88491i 1.33176 + 0.191478i 0.771178 0.636620i \(-0.219668\pi\)
0.560583 + 0.828098i \(0.310577\pi\)
\(228\) 4.79477 9.69974i 0.317541 0.642381i
\(229\) −9.05101 + 14.0836i −0.598107 + 0.930673i 0.401781 + 0.915736i \(0.368391\pi\)
−0.999888 + 0.0149374i \(0.995245\pi\)
\(230\) 19.6757i 1.29738i
\(231\) −0.735728 0.128940i −0.0484074 0.00848365i
\(232\) −6.60485 + 10.2774i −0.433630 + 0.674741i
\(233\) 9.40198 20.5875i 0.615944 1.34873i −0.302489 0.953153i \(-0.597818\pi\)
0.918433 0.395576i \(-0.129455\pi\)
\(234\) 5.04912 1.94103i 0.330071 0.126889i
\(235\) 15.2209 13.1890i 0.992904 0.860356i
\(236\) 12.5763 + 5.74340i 0.818646 + 0.373863i
\(237\) −1.56010 1.43799i −0.101339 0.0934075i
\(238\) 0.814344 0.0527861
\(239\) −3.20930 −0.207592 −0.103796 0.994599i \(-0.533099\pi\)
−0.103796 + 0.994599i \(0.533099\pi\)
\(240\) 16.6574 18.0718i 1.07523 1.16653i
\(241\) −18.5130 5.43590i −1.19253 0.350157i −0.375535 0.926808i \(-0.622541\pi\)
−0.816991 + 0.576651i \(0.804359\pi\)
\(242\) 2.33945 16.2712i 0.150385 1.04595i
\(243\) −4.55110 + 14.9093i −0.291953 + 0.956433i
\(244\) −12.4211 1.78589i −0.795181 0.114330i
\(245\) 8.16772 + 17.8848i 0.521816 + 1.14262i
\(246\) −4.49802 3.08978i −0.286783 0.196997i
\(247\) −1.54294 + 5.25477i −0.0981749 + 0.334353i
\(248\) 9.36575 4.27720i 0.594726 0.271602i
\(249\) 8.51537 + 14.1895i 0.539639 + 0.899225i
\(250\) 1.34542 + 9.35761i 0.0850919 + 0.591827i
\(251\) 0.590017 4.10366i 0.0372415 0.259020i −0.962691 0.270602i \(-0.912777\pi\)
0.999933 + 0.0115812i \(0.00368649\pi\)
\(252\) 0.0694678 1.13020i 0.00437606 0.0711962i
\(253\) 3.88021 3.36222i 0.243947 0.211381i
\(254\) −0.0217499 0.151274i −0.00136471 0.00949178i
\(255\) −6.40079 + 2.68892i −0.400833 + 0.168386i
\(256\) 17.0522 10.9588i 1.06576 0.684925i
\(257\) 4.52468 + 15.4097i 0.282242 + 0.961228i 0.971565 + 0.236773i \(0.0760899\pi\)
−0.689323 + 0.724454i \(0.742092\pi\)
\(258\) −21.4598 + 31.2407i −1.33603 + 1.94496i
\(259\) −1.27041 1.10082i −0.0789395 0.0684015i
\(260\) 1.81111 2.81814i 0.112320 0.174774i
\(261\) −11.9469 21.3677i −0.739496 1.32263i
\(262\) 10.1736 34.6481i 0.628527 2.14057i
\(263\) −7.26748 24.7508i −0.448132 1.52620i −0.805707 0.592314i \(-0.798214\pi\)
0.357575 0.933884i \(-0.383604\pi\)
\(264\) 3.42761 + 0.105239i 0.210955 + 0.00647703i
\(265\) 1.22892 + 2.69096i 0.0754921 + 0.165305i
\(266\) 2.36345 + 2.04794i 0.144913 + 0.125567i
\(267\) −8.89210 1.55839i −0.544188 0.0953718i
\(268\) 2.49542 9.13985i 0.152432 0.558305i
\(269\) 14.8372i 0.904642i −0.891855 0.452321i \(-0.850596\pi\)
0.891855 0.452321i \(-0.149404\pi\)
\(270\) 8.69065 + 24.8589i 0.528896 + 1.51286i
\(271\) 12.8055 5.84809i 0.777880 0.355246i 0.0134143 0.999910i \(-0.495730\pi\)
0.764466 + 0.644664i \(0.223003\pi\)
\(272\) −6.92092 + 0.995078i −0.419642 + 0.0603355i
\(273\) 0.0641172 + 0.569536i 0.00388055 + 0.0344699i
\(274\) 25.2584 + 7.41652i 1.52591 + 0.448049i
\(275\) 2.71467 3.13290i 0.163701 0.188921i
\(276\) 5.72307 + 5.27513i 0.344488 + 0.317525i
\(277\) 8.97912 10.3625i 0.539503 0.622619i −0.418902 0.908031i \(-0.637585\pi\)
0.958405 + 0.285412i \(0.0921304\pi\)
\(278\) 14.5746 + 6.65599i 0.874125 + 0.399200i
\(279\) −1.26577 + 20.5934i −0.0757797 + 1.23290i
\(280\) 0.752781 + 1.17135i 0.0449873 + 0.0700016i
\(281\) −12.6338 + 8.11925i −0.753669 + 0.484354i −0.860201 0.509956i \(-0.829662\pi\)
0.106532 + 0.994309i \(0.466025\pi\)
\(282\) −0.666972 + 21.7231i −0.0397176 + 1.29359i
\(283\) −8.13875 9.39262i −0.483799 0.558333i 0.460399 0.887712i \(-0.347706\pi\)
−0.944198 + 0.329379i \(0.893161\pi\)
\(284\) −2.75710 9.38981i −0.163604 0.557183i
\(285\) −25.3391 8.29298i −1.50096 0.491234i
\(286\) 2.36030 0.339359i 0.139567 0.0200667i
\(287\) 0.436961 0.378629i 0.0257930 0.0223497i
\(288\) 1.42632 + 17.4811i 0.0840469 + 1.03008i
\(289\) −14.4163 4.23300i −0.848016 0.249000i
\(290\) −37.6191 17.1801i −2.20907 1.00885i
\(291\) −1.03857 3.98572i −0.0608823 0.233647i
\(292\) −0.531170 + 3.69437i −0.0310844 + 0.216197i
\(293\) −2.11982 3.29850i −0.123841 0.192700i 0.773797 0.633433i \(-0.218355\pi\)
−0.897638 + 0.440733i \(0.854719\pi\)
\(294\) −20.1644 6.59941i −1.17601 0.384886i
\(295\) 9.59795 32.6876i 0.558814 1.90315i
\(296\) 6.49236 + 4.17238i 0.377361 + 0.242515i
\(297\) −3.41730 + 5.96179i −0.198292 + 0.345938i
\(298\) 4.13401i 0.239477i
\(299\) −3.31416 2.12988i −0.191663 0.123174i
\(300\) 5.17994 + 3.55820i 0.299064 + 0.205433i
\(301\) −2.62974 3.03488i −0.151575 0.174927i
\(302\) −12.0988 13.9627i −0.696206 0.803465i
\(303\) −9.90549 6.80427i −0.569056 0.390895i
\(304\) −22.5889 14.5170i −1.29556 0.832607i
\(305\) 30.9214i 1.77055i
\(306\) 2.54772 7.04533i 0.145643 0.402755i
\(307\) −11.2657 7.24005i −0.642970 0.413212i 0.178121 0.984009i \(-0.442998\pi\)
−0.821091 + 0.570797i \(0.806634\pi\)
\(308\) 0.140630 0.478940i 0.00801312 0.0272902i
\(309\) −21.1745 6.93001i −1.20458 0.394235i
\(310\) 18.8440 + 29.3219i 1.07027 + 1.66537i
\(311\) 0.547761 3.80976i 0.0310607 0.216032i −0.968380 0.249481i \(-0.919740\pi\)
0.999440 + 0.0334491i \(0.0106492\pi\)
\(312\) −0.663485 2.54624i −0.0375624 0.144153i
\(313\) 24.4772 + 11.1783i 1.38353 + 0.631837i 0.961515 0.274752i \(-0.0885956\pi\)
0.422015 + 0.906589i \(0.361323\pi\)
\(314\) −12.9136 3.79177i −0.728757 0.213982i
\(315\) −2.78093 + 0.226903i −0.156688 + 0.0127845i
\(316\) 1.07157 0.928520i 0.0602805 0.0522333i
\(317\) 4.40588 0.633470i 0.247459 0.0355792i −0.0174691 0.999847i \(-0.505561\pi\)
0.264928 + 0.964268i \(0.414652\pi\)
\(318\) −3.03395 0.992954i −0.170136 0.0556821i
\(319\) −3.04037 10.3545i −0.170228 0.579743i
\(320\) 0.818479 + 0.944575i 0.0457544 + 0.0528033i
\(321\) −0.220889 + 7.19429i −0.0123288 + 0.401546i
\(322\) −1.89248 + 1.21622i −0.105464 + 0.0677773i
\(323\) 4.10075 + 6.38088i 0.228172 + 0.355042i
\(324\) −9.56068 4.13691i −0.531149 0.229828i
\(325\) −2.89337 1.32136i −0.160495 0.0732957i
\(326\) 6.15533 7.10363i 0.340912 0.393434i
\(327\) 2.26747 + 2.09000i 0.125392 + 0.115577i
\(328\) −1.73829 + 2.00610i −0.0959811 + 0.110768i
\(329\) −2.20942 0.648743i −0.121809 0.0357664i
\(330\) 1.29868 + 11.5358i 0.0714901 + 0.635028i
\(331\) −16.5744 + 2.38304i −0.911013 + 0.130984i −0.581857 0.813291i \(-0.697674\pi\)
−0.329157 + 0.944275i \(0.606764\pi\)
\(332\) −10.0595 + 4.59404i −0.552089 + 0.252131i
\(333\) −13.4983 + 7.54705i −0.739703 + 0.413576i
\(334\) 39.9713i 2.18713i
\(335\) −23.1672 2.88122i −1.26576 0.157418i
\(336\) −2.76785 0.485081i −0.150999 0.0264633i
\(337\) 12.5209 + 10.8494i 0.682057 + 0.591006i 0.925426 0.378928i \(-0.123707\pi\)
−0.243369 + 0.969934i \(0.578253\pi\)
\(338\) 8.83604 + 19.3482i 0.480617 + 1.05241i
\(339\) 34.0331 + 1.04493i 1.84842 + 0.0567529i
\(340\) −1.30712 4.45164i −0.0708885 0.241424i
\(341\) −2.56241 + 8.72677i −0.138762 + 0.472581i
\(342\) 25.1120 14.0404i 1.35790 0.759219i
\(343\) 2.44944 3.81140i 0.132257 0.205796i
\(344\) 13.9332 + 12.0732i 0.751227 + 0.650942i
\(345\) 10.8591 15.8084i 0.584634 0.851097i
\(346\) 1.93798 + 6.60017i 0.104187 + 0.354827i
\(347\) 10.8452 6.96976i 0.582199 0.374156i −0.216142 0.976362i \(-0.569348\pi\)
0.798341 + 0.602205i \(0.205711\pi\)
\(348\) 15.0830 6.33621i 0.808532 0.339657i
\(349\) 2.10309 + 14.6273i 0.112576 + 0.782983i 0.965398 + 0.260781i \(0.0839801\pi\)
−0.852822 + 0.522202i \(0.825111\pi\)
\(350\) −1.37269 + 1.18944i −0.0733734 + 0.0635784i
\(351\) 5.12796 + 1.22711i 0.273710 + 0.0654983i
\(352\) −1.10033 + 7.65296i −0.0586477 + 0.407904i
\(353\) 0.674870 + 4.69383i 0.0359197 + 0.249827i 0.999868 0.0162635i \(-0.00517705\pi\)
−0.963948 + 0.266091i \(0.914268\pi\)
\(354\) 18.9168 + 31.5219i 1.00542 + 1.67537i
\(355\) −21.9349 + 10.0173i −1.16418 + 0.531665i
\(356\) 1.69967 5.78853i 0.0900821 0.306791i
\(357\) 0.654283 + 0.449439i 0.0346283 + 0.0237868i
\(358\) −17.5600 38.4511i −0.928076 2.03220i
\(359\) 27.5257 + 3.95759i 1.45275 + 0.208874i 0.823051 0.567967i \(-0.192270\pi\)
0.629697 + 0.776841i \(0.283179\pi\)
\(360\) 12.4891 2.84809i 0.658233 0.150107i
\(361\) −1.44141 + 10.0252i −0.0758635 + 0.527642i
\(362\) 33.6744 + 9.88769i 1.76989 + 0.519685i
\(363\) 10.8597 11.7819i 0.569989 0.618390i
\(364\) −0.383009 −0.0200751
\(365\) 9.19683 0.481384
\(366\) −24.5349 22.6145i −1.28246 1.18208i
\(367\) 3.21571 + 1.46857i 0.167859 + 0.0766586i 0.497572 0.867422i \(-0.334225\pi\)
−0.329714 + 0.944081i \(0.606952\pi\)
\(368\) 14.5976 12.6489i 0.760951 0.659368i
\(369\) −1.90867 4.96494i −0.0993613 0.258465i
\(370\) −10.8529 + 23.7646i −0.564216 + 1.23546i
\(371\) 0.182862 0.284539i 0.00949373 0.0147725i
\(372\) −13.5810 2.38014i −0.704142 0.123405i
\(373\) 1.49328i 0.0773190i 0.999252 + 0.0386595i \(0.0123088\pi\)
−0.999252 + 0.0386595i \(0.987691\pi\)
\(374\) 1.78550 2.77830i 0.0923262 0.143662i
\(375\) −4.08352 + 8.26089i −0.210872 + 0.426591i
\(376\) 10.4641 + 1.50451i 0.539645 + 0.0775892i
\(377\) −6.96603 + 4.47679i −0.358769 + 0.230567i
\(378\) 1.85381 2.37250i 0.0953498 0.122028i
\(379\) 22.6267 10.3333i 1.16226 0.530785i 0.261541 0.965192i \(-0.415769\pi\)
0.900717 + 0.434407i \(0.143042\pi\)
\(380\) 7.40153 16.2071i 0.379691 0.831407i
\(381\) 0.0660137 0.133545i 0.00338198 0.00684170i
\(382\) −1.45673 3.18980i −0.0745330 0.163205i
\(383\) −8.17848 9.43847i −0.417901 0.482283i 0.507295 0.861772i \(-0.330645\pi\)
−0.925196 + 0.379489i \(0.876100\pi\)
\(384\) 18.8949 + 0.580136i 0.964224 + 0.0296050i
\(385\) −1.21745 0.175043i −0.0620470 0.00892102i
\(386\) −38.6493 + 11.3484i −1.96720 + 0.577621i
\(387\) −34.4836 + 13.2565i −1.75290 + 0.673866i
\(388\) 2.72447 0.391719i 0.138314 0.0198865i
\(389\) 20.0650 + 31.2218i 1.01734 + 1.58301i 0.793677 + 0.608339i \(0.208164\pi\)
0.223659 + 0.974667i \(0.428200\pi\)
\(390\) 8.21225 3.44989i 0.415843 0.174692i
\(391\) −5.23517 + 1.53718i −0.264754 + 0.0777387i
\(392\) −4.28729 + 9.38785i −0.216541 + 0.474158i
\(393\) 27.2964 22.2231i 1.37692 1.12101i
\(394\) −23.3166 14.9847i −1.17467 0.754917i
\(395\) −2.64043 2.28795i −0.132855 0.115119i
\(396\) −3.70361 2.71505i −0.186113 0.136437i
\(397\) −7.26491 + 2.13317i −0.364615 + 0.107061i −0.458908 0.888484i \(-0.651759\pi\)
0.0942927 + 0.995545i \(0.469941\pi\)
\(398\) −0.745926 5.18803i −0.0373899 0.260052i
\(399\) 0.768644 + 2.94981i 0.0384803 + 0.147675i
\(400\) 10.2128 11.7862i 0.510638 0.589308i
\(401\) −29.7913 −1.48771 −0.743854 0.668342i \(-0.767004\pi\)
−0.743854 + 0.668342i \(0.767004\pi\)
\(402\) 19.2296 16.2750i 0.959085 0.811725i
\(403\) 6.97880 0.347639
\(404\) 5.25909 6.06932i 0.261650 0.301960i
\(405\) −6.73722 + 24.7692i −0.334775 + 1.23079i
\(406\) 0.672923 + 4.68028i 0.0333966 + 0.232279i
\(407\) −6.54112 + 1.92065i −0.324231 + 0.0952029i
\(408\) −3.26690 1.61489i −0.161736 0.0799491i
\(409\) −3.85373 3.33928i −0.190555 0.165117i 0.554358 0.832278i \(-0.312964\pi\)
−0.744913 + 0.667161i \(0.767509\pi\)
\(410\) −7.55943 4.85815i −0.373334 0.239927i
\(411\) 16.2006 + 19.8990i 0.799115 + 0.981543i
\(412\) 6.18507 13.5434i 0.304717 0.667237i
\(413\) −3.73728 + 1.09736i −0.183900 + 0.0539978i
\(414\) 4.60148 + 20.1778i 0.226150 + 0.991687i
\(415\) 14.7325 + 22.9242i 0.723190 + 1.12531i
\(416\) 5.87217 0.844290i 0.287907 0.0413947i
\(417\) 8.03645 + 13.3915i 0.393547 + 0.655784i
\(418\) 12.1690 3.57314i 0.595205 0.174768i
\(419\) 0.972687 + 0.139851i 0.0475189 + 0.00683218i 0.166033 0.986120i \(-0.446904\pi\)
−0.118514 + 0.992952i \(0.537813\pi\)
\(420\) 0.0572223 1.86371i 0.00279216 0.0909399i
\(421\) 7.02948 + 8.11245i 0.342596 + 0.395377i 0.900734 0.434372i \(-0.143030\pi\)
−0.558138 + 0.829748i \(0.688484\pi\)
\(422\) −13.3095 29.1437i −0.647896 1.41869i
\(423\) −12.5249 + 17.0852i −0.608982 + 0.830713i
\(424\) −0.645069 + 1.41251i −0.0313273 + 0.0685973i
\(425\) −4.00724 + 1.83005i −0.194380 + 0.0887703i
\(426\) 8.09388 24.7307i 0.392150 1.19821i
\(427\) 2.97412 1.91135i 0.143928 0.0924967i
\(428\) −4.76105 0.684535i −0.230134 0.0330883i
\(429\) 2.08367 + 1.03000i 0.100600 + 0.0497287i
\(430\) −33.7419 + 52.5034i −1.62718 + 2.53194i
\(431\) 16.4165i 0.790753i 0.918519 + 0.395377i \(0.129386\pi\)
−0.918519 + 0.395377i \(0.870614\pi\)
\(432\) −12.8561 + 22.4286i −0.618538 + 1.07910i
\(433\) 4.86712 7.57339i 0.233899 0.363954i −0.704386 0.709817i \(-0.748778\pi\)
0.938285 + 0.345863i \(0.112414\pi\)
\(434\) 1.65547 3.62496i 0.0794649 0.174004i
\(435\) −20.7432 34.5654i −0.994562 1.65728i
\(436\) −1.55744 + 1.34953i −0.0745877 + 0.0646306i
\(437\) −19.0597 8.70426i −0.911748 0.416381i
\(438\) −6.72616 + 7.29732i −0.321388 + 0.348679i
\(439\) 20.0042 0.954748 0.477374 0.878700i \(-0.341589\pi\)
0.477374 + 0.878700i \(0.341589\pi\)
\(440\) 5.64682 0.269201
\(441\) −12.5588 16.4311i −0.598038 0.782432i
\(442\) −2.43144 0.713934i −0.115652 0.0339584i
\(443\) −0.516617 + 3.59315i −0.0245452 + 0.170716i −0.998407 0.0564268i \(-0.982029\pi\)
0.973862 + 0.227143i \(0.0729383\pi\)
\(444\) −4.00268 9.52813i −0.189959 0.452185i
\(445\) −14.7142 2.11559i −0.697522 0.100289i
\(446\) 16.8865 + 36.9762i 0.799597 + 1.75087i
\(447\) 2.28157 3.32146i 0.107915 0.157100i
\(448\) 0.0402595 0.137111i 0.00190208 0.00647790i
\(449\) 27.7476 12.6719i 1.30949 0.598024i 0.366368 0.930470i \(-0.380601\pi\)
0.943122 + 0.332446i \(0.107874\pi\)
\(450\) 5.99599 + 15.5971i 0.282654 + 0.735256i
\(451\) −0.333702 2.32095i −0.0157134 0.109289i
\(452\) −3.23824 + 22.5225i −0.152314 + 1.05937i
\(453\) −2.01466 17.8957i −0.0946569 0.840812i
\(454\) −27.2227 + 23.5886i −1.27762 + 1.10707i
\(455\) 0.134312 + 0.934158i 0.00629663 + 0.0437940i
\(456\) −5.42026 12.9026i −0.253827 0.604219i
\(457\) −4.39139 + 2.82218i −0.205421 + 0.132016i −0.639307 0.768952i \(-0.720778\pi\)
0.433886 + 0.900968i \(0.357142\pi\)
\(458\) −8.38099 28.5430i −0.391618 1.33373i
\(459\) 5.93530 4.25446i 0.277036 0.198581i
\(460\) 9.68617 + 8.39311i 0.451620 + 0.391331i
\(461\) −9.05963 + 14.0971i −0.421949 + 0.656566i −0.985531 0.169494i \(-0.945787\pi\)
0.563582 + 0.826060i \(0.309423\pi\)
\(462\) 1.02928 0.837980i 0.0478864 0.0389863i
\(463\) 4.06196 13.8338i 0.188775 0.642910i −0.809655 0.586906i \(-0.800346\pi\)
0.998431 0.0560042i \(-0.0178360\pi\)
\(464\) −11.4380 38.9544i −0.530998 1.80841i
\(465\) −1.04265 + 33.9587i −0.0483516 + 1.57480i
\(466\) 16.7067 + 36.5825i 0.773921 + 1.69465i
\(467\) 12.2588 + 10.6223i 0.567269 + 0.491541i 0.890627 0.454736i \(-0.150266\pi\)
−0.323358 + 0.946277i \(0.604812\pi\)
\(468\) −1.19826 + 3.31362i −0.0553897 + 0.153172i
\(469\) 1.15491 + 2.40639i 0.0533289 + 0.111117i
\(470\) 35.7877i 1.65076i
\(471\) −8.28271 10.1735i −0.381647 0.468772i
\(472\) 16.2663 7.42858i 0.748718 0.341928i
\(473\) −16.1200 + 2.31770i −0.741196 + 0.106568i
\(474\) 3.74649 0.421772i 0.172082 0.0193726i
\(475\) −16.2324 4.76626i −0.744794 0.218691i
\(476\) −0.347376 + 0.400894i −0.0159220 + 0.0183749i
\(477\) −1.88961 2.47223i −0.0865192 0.113196i
\(478\) 3.73448 4.30982i 0.170811 0.197126i
\(479\) 2.56457 + 1.17120i 0.117178 + 0.0535136i 0.473142 0.880986i \(-0.343120\pi\)
−0.355963 + 0.934500i \(0.615847\pi\)
\(480\) 3.23098 + 28.7000i 0.147474 + 1.30997i
\(481\) 2.82806 + 4.40054i 0.128948 + 0.200648i
\(482\) 28.8424 18.5359i 1.31374 0.844287i
\(483\) −2.19174 0.0672939i −0.0997277 0.00306198i
\(484\) 7.01221 + 8.09252i 0.318737 + 0.367842i
\(485\) −1.91080 6.50760i −0.0867652 0.295495i
\(486\) −14.7261 23.4608i −0.667988 1.06420i
\(487\) −3.21692 + 0.462523i −0.145772 + 0.0209589i −0.214815 0.976655i \(-0.568915\pi\)
0.0690423 + 0.997614i \(0.478006\pi\)
\(488\) −12.2664 + 10.6289i −0.555276 + 0.481149i
\(489\) 8.86601 2.31025i 0.400935 0.104473i
\(490\) −33.5221 9.84296i −1.51437 0.444660i
\(491\) 4.44639 + 2.03060i 0.200663 + 0.0916396i 0.513212 0.858262i \(-0.328456\pi\)
−0.312549 + 0.949902i \(0.601183\pi\)
\(492\) 3.43980 0.896321i 0.155078 0.0404093i
\(493\) −1.63211 + 11.3516i −0.0735067 + 0.511251i
\(494\) −5.26127 8.18670i −0.236716 0.368337i
\(495\) −5.32325 + 9.98519i −0.239262 + 0.448801i
\(496\) −9.63993 + 32.8306i −0.432846 + 1.47414i
\(497\) 2.31937 + 1.49057i 0.104038 + 0.0668611i
\(498\) −28.9642 5.07612i −1.29791 0.227467i
\(499\) 16.4065i 0.734455i −0.930131 0.367228i \(-0.880307\pi\)
0.930131 0.367228i \(-0.119693\pi\)
\(500\) −5.18058 3.32936i −0.231683 0.148893i
\(501\) 22.0603 32.1149i 0.985581 1.43479i
\(502\) 4.82429 + 5.56753i 0.215319 + 0.248491i
\(503\) −22.6517 26.1414i −1.00999 1.16559i −0.986147 0.165874i \(-0.946956\pi\)
−0.0238421 0.999716i \(-0.507590\pi\)
\(504\) −1.04593 1.02519i −0.0465894 0.0456657i
\(505\) −16.6473 10.6986i −0.740795 0.476080i
\(506\) 9.12321i 0.405576i
\(507\) −3.57905 + 20.4219i −0.158951 + 0.906970i
\(508\) 0.0837487 + 0.0538220i 0.00371575 + 0.00238797i
\(509\) 0.880390 2.99833i 0.0390226 0.132899i −0.937678 0.347506i \(-0.887029\pi\)
0.976701 + 0.214607i \(0.0688470\pi\)
\(510\) 3.83725 11.7247i 0.169916 0.519176i
\(511\) −0.568486 0.884581i −0.0251483 0.0391316i
\(512\) −2.01948 + 14.0458i −0.0892491 + 0.620741i
\(513\) 27.9252 + 2.57868i 1.23293 + 0.113851i
\(514\) −25.9589 11.8551i −1.14500 0.522904i
\(515\) −35.2013 10.3360i −1.55116 0.455461i
\(516\) −6.22533 23.8908i −0.274055 1.05174i
\(517\) −7.05761 + 6.11545i −0.310393 + 0.268957i
\(518\) 2.95661 0.425096i 0.129906 0.0186776i
\(519\) −2.08558 + 6.37247i −0.0915469 + 0.279720i
\(520\) −1.22070 4.15733i −0.0535314 0.182311i
\(521\) −19.4946 22.4980i −0.854075 0.985656i 0.145918 0.989297i \(-0.453386\pi\)
−0.999993 + 0.00364116i \(0.998841\pi\)
\(522\) 42.5970 + 8.82068i 1.86442 + 0.386071i
\(523\) −19.1499 + 12.3069i −0.837367 + 0.538143i −0.887611 0.460594i \(-0.847636\pi\)
0.0502443 + 0.998737i \(0.484000\pi\)
\(524\) 12.7172 + 19.7883i 0.555551 + 0.864455i
\(525\) −1.75934 + 0.198063i −0.0767840 + 0.00864418i
\(526\) 41.6949 + 19.0414i 1.81798 + 0.830246i
\(527\) 6.32954 7.30468i 0.275719 0.318197i
\(528\) −7.72365 + 8.37951i −0.336129 + 0.364671i
\(529\) −5.19143 + 5.99123i −0.225714 + 0.260488i
\(530\) −5.04376 1.48098i −0.219087 0.0643297i
\(531\) −2.19837 + 35.7664i −0.0954013 + 1.55213i
\(532\) −2.01636 + 0.289909i −0.0874205 + 0.0125692i
\(533\) −1.63660 + 0.747412i −0.0708892 + 0.0323740i
\(534\) 12.4400 10.1279i 0.538331 0.438278i
\(535\) 11.8522i 0.512417i
\(536\) −6.82052 10.1808i −0.294602 0.439742i
\(537\) 7.11271 40.5848i 0.306936 1.75137i
\(538\) 19.9251 + 17.2652i 0.859034 + 0.744357i
\(539\) −3.78719 8.29279i −0.163126 0.357196i
\(540\) −15.9450 6.32578i −0.686162 0.272218i
\(541\) −0.942460 3.20972i −0.0405195 0.137997i 0.936749 0.350002i \(-0.113819\pi\)
−0.977269 + 0.212005i \(0.932001\pi\)
\(542\) −7.04757 + 24.0018i −0.302719 + 1.03097i
\(543\) 21.5985 + 26.5292i 0.926882 + 1.13848i
\(544\) 4.44215 6.91211i 0.190455 0.296354i
\(545\) 3.83765 + 3.32534i 0.164387 + 0.142442i
\(546\) −0.839447 0.576632i −0.0359250 0.0246776i
\(547\) −4.37496 14.8997i −0.187060 0.637067i −0.998606 0.0527792i \(-0.983192\pi\)
0.811546 0.584288i \(-0.198626\pi\)
\(548\) −14.4256 + 9.27076i −0.616231 + 0.396027i
\(549\) −7.23145 31.7105i −0.308631 1.35337i
\(550\) 1.04831 + 7.29115i 0.0447000 + 0.310895i
\(551\) −33.2843 + 28.8410i −1.41796 + 1.22867i
\(552\) 10.0039 1.12622i 0.425793 0.0479349i
\(553\) −0.0568486 + 0.395391i −0.00241745 + 0.0168137i
\(554\) 3.46741 + 24.1164i 0.147316 + 1.02461i
\(555\) −21.8355 + 13.1038i −0.926864 + 0.556226i
\(556\) −9.49379 + 4.33567i −0.402626 + 0.183873i
\(557\) 8.77328 29.8790i 0.371736 1.26602i −0.535193 0.844730i \(-0.679761\pi\)
0.906928 0.421285i \(-0.138421\pi\)
\(558\) −26.1823 25.6632i −1.10839 1.08641i
\(559\) 5.19109 + 11.3669i 0.219560 + 0.480769i
\(560\) −4.58012 0.658522i −0.193545 0.0278276i
\(561\) 2.96791 1.24679i 0.125305 0.0526396i
\(562\) 3.79776 26.4140i 0.160199 1.11421i
\(563\) 37.9889 + 11.1546i 1.60104 + 0.470108i 0.955836 0.293901i \(-0.0949534\pi\)
0.645206 + 0.764009i \(0.276772\pi\)
\(564\) −10.4095 9.59479i −0.438321 0.404014i
\(565\) 56.0678 2.35879
\(566\) 22.0841 0.928263
\(567\) 2.79883 0.883057i 0.117540 0.0370849i
\(568\) −11.5138 5.25816i −0.483107 0.220628i
\(569\) −26.2109 + 22.7119i −1.09882 + 0.952133i −0.999080 0.0428809i \(-0.986346\pi\)
−0.0997395 + 0.995014i \(0.531801\pi\)
\(570\) 40.6224 24.3781i 1.70148 1.02109i
\(571\) 1.38048 3.02282i 0.0577711 0.126501i −0.878545 0.477660i \(-0.841485\pi\)
0.936316 + 0.351159i \(0.114212\pi\)
\(572\) −0.839773 + 1.30671i −0.0351127 + 0.0546364i
\(573\) 0.590052 3.36681i 0.0246498 0.140651i
\(574\) 1.02739i 0.0428824i
\(575\) 6.57937 10.2377i 0.274379 0.426942i
\(576\) −1.06027 0.777266i −0.0441779 0.0323861i
\(577\) −39.3900 5.66343i −1.63983 0.235772i −0.740187 0.672401i \(-0.765263\pi\)
−0.899641 + 0.436630i \(0.856172\pi\)
\(578\) 22.4599 14.4341i 0.934210 0.600380i
\(579\) −37.3159 12.2128i −1.55080 0.507545i
\(580\) 24.5048 11.1910i 1.01751 0.464680i
\(581\) 1.29426 2.83404i 0.0536951 0.117576i
\(582\) 6.56100 + 3.24323i 0.271962 + 0.134436i
\(583\) −0.569825 1.24774i −0.0235997 0.0516762i
\(584\) 3.16132 + 3.64836i 0.130817 + 0.150970i
\(585\) 8.50211 + 1.76056i 0.351519 + 0.0727901i
\(586\) 6.89631 + 0.991540i 0.284884 + 0.0409601i
\(587\) −5.57777 + 1.63778i −0.230219 + 0.0675984i −0.394807 0.918764i \(-0.629189\pi\)
0.164588 + 0.986362i \(0.447370\pi\)
\(588\) 11.8504 7.11161i 0.488702 0.293278i
\(589\) 36.7401 5.28244i 1.51385 0.217659i
\(590\) 32.7281 + 50.9259i 1.34739 + 2.09659i
\(591\) −10.4636 24.9079i −0.430414 1.02457i
\(592\) −24.6081 + 7.22558i −1.01139 + 0.296970i
\(593\) 13.7643 30.1397i 0.565233 1.23769i −0.384064 0.923307i \(-0.625476\pi\)
0.949297 0.314381i \(-0.101797\pi\)
\(594\) −4.02966 11.5265i −0.165339 0.472939i
\(595\) 1.09960 + 0.706667i 0.0450790 + 0.0289705i
\(596\) 2.03513 + 1.76345i 0.0833623 + 0.0722338i
\(597\) 2.26398 4.57999i 0.0926584 0.187446i
\(598\) 6.71674 1.97221i 0.274668 0.0806498i
\(599\) −6.14891 42.7666i −0.251238 1.74740i −0.590805 0.806814i \(-0.701190\pi\)
0.339568 0.940582i \(-0.389719\pi\)
\(600\) 7.86556 2.04956i 0.321110 0.0836729i
\(601\) 3.39021 3.91251i 0.138289 0.159594i −0.682380 0.730997i \(-0.739055\pi\)
0.820670 + 0.571403i \(0.193601\pi\)
\(602\) 7.13565 0.290827
\(603\) 24.4322 2.46326i 0.994956 0.100312i
\(604\) 12.0347 0.489686
\(605\) 17.2786 19.9406i 0.702477 0.810702i
\(606\) 20.6640 5.38450i 0.839417 0.218730i
\(607\) −6.04687 42.0569i −0.245435 1.70704i −0.623969 0.781449i \(-0.714481\pi\)
0.378534 0.925587i \(-0.376428\pi\)
\(608\) 30.2752 8.88960i 1.22782 0.360521i
\(609\) −2.04240 + 4.13175i −0.0827624 + 0.167427i
\(610\) −41.5247 35.9814i −1.68129 1.45684i
\(611\) 6.02804 + 3.87398i 0.243868 + 0.156725i
\(612\) 2.38156 + 4.25956i 0.0962690 + 0.172182i
\(613\) 0.374219 0.819424i 0.0151145 0.0330962i −0.901924 0.431894i \(-0.857845\pi\)
0.917039 + 0.398798i \(0.130573\pi\)
\(614\) 22.8321 6.70410i 0.921427 0.270555i
\(615\) −3.39238 8.07534i −0.136794 0.325629i
\(616\) −0.349048 0.543129i −0.0140635 0.0218833i
\(617\) 28.6542 4.11985i 1.15357 0.165859i 0.461132 0.887332i \(-0.347444\pi\)
0.692443 + 0.721473i \(0.256534\pi\)
\(618\) 33.9460 20.3715i 1.36551 0.819463i
\(619\) 21.9394 6.44198i 0.881818 0.258925i 0.190684 0.981652i \(-0.438930\pi\)
0.691134 + 0.722726i \(0.257111\pi\)
\(620\) −22.4732 3.23116i −0.902546 0.129767i
\(621\) −7.43917 + 18.7514i −0.298524 + 0.752468i
\(622\) 4.47878 + 5.16879i 0.179583 + 0.207250i
\(623\) 0.706051 + 1.54604i 0.0282873 + 0.0619406i
\(624\) 7.83888 + 3.87491i 0.313806 + 0.155120i
\(625\) −12.8144 + 28.0597i −0.512577 + 1.12239i
\(626\) −43.4942 + 19.8631i −1.73838 + 0.793890i
\(627\) 11.7492 + 3.84527i 0.469217 + 0.153565i
\(628\) 7.37523 4.73977i 0.294304 0.189138i
\(629\) 7.17098 + 1.03103i 0.285926 + 0.0411099i
\(630\) 2.93129 3.99858i 0.116786 0.159307i
\(631\) −6.85289 + 10.6633i −0.272809 + 0.424499i −0.950442 0.310901i \(-0.899369\pi\)
0.677633 + 0.735400i \(0.263006\pi\)
\(632\) 1.83391i 0.0729492i
\(633\) 5.39103 30.7610i 0.214274 1.22264i
\(634\) −4.27617 + 6.65386i −0.169829 + 0.264258i
\(635\) 0.101903 0.223137i 0.00404391 0.00885492i
\(636\) 1.78302 1.07002i 0.0707014 0.0424290i
\(637\) −5.28667 + 4.58093i −0.209465 + 0.181503i
\(638\) 17.4432 + 7.96602i 0.690581 + 0.315378i
\(639\) 20.1520 15.4028i 0.797199 0.609325i
\(640\) 31.1283 1.23046
\(641\) −10.1898 −0.402474 −0.201237 0.979543i \(-0.564496\pi\)
−0.201237 + 0.979543i \(0.564496\pi\)
\(642\) −9.40428 8.66822i −0.371157 0.342107i
\(643\) −12.5544 3.68630i −0.495097 0.145374i 0.0246460 0.999696i \(-0.492154\pi\)
−0.519743 + 0.854323i \(0.673972\pi\)
\(644\) 0.208544 1.45045i 0.00821777 0.0571559i
\(645\) −56.0866 + 23.5615i −2.20841 + 0.927733i
\(646\) −13.3408 1.91811i −0.524886 0.0754672i
\(647\) −1.60419 3.51268i −0.0630671 0.138098i 0.875474 0.483265i \(-0.160549\pi\)
−0.938541 + 0.345168i \(0.887822\pi\)
\(648\) −12.1417 + 5.84154i −0.476973 + 0.229477i
\(649\) −4.45036 + 15.1565i −0.174692 + 0.594946i
\(650\) 5.14131 2.34796i 0.201659 0.0920945i
\(651\) 3.33071 1.99881i 0.130541 0.0783396i
\(652\) 0.871357 + 6.06042i 0.0341250 + 0.237344i
\(653\) 5.04516 35.0899i 0.197432 1.37317i −0.614268 0.789098i \(-0.710549\pi\)
0.811700 0.584074i \(-0.198542\pi\)
\(654\) −5.44521 + 0.613011i −0.212925 + 0.0239706i
\(655\) 43.8040 37.9564i 1.71156 1.48308i
\(656\) −1.25541 8.73154i −0.0490154 0.340909i
\(657\) −9.43153 + 2.15082i −0.367959 + 0.0839116i
\(658\) 3.44218 2.21215i 0.134190 0.0862387i
\(659\) 7.01422 + 23.8882i 0.273235 + 0.930553i 0.975751 + 0.218885i \(0.0702419\pi\)
−0.702516 + 0.711668i \(0.747940\pi\)
\(660\) −6.23297 4.28154i −0.242618 0.166659i
\(661\) 38.2797 + 33.1695i 1.48891 + 1.29014i 0.857255 + 0.514892i \(0.172168\pi\)
0.631651 + 0.775253i \(0.282377\pi\)
\(662\) 16.0865 25.0311i 0.625219 0.972860i
\(663\) −1.55951 1.91553i −0.0605663 0.0743928i
\(664\) −4.02983 + 13.7243i −0.156388 + 0.532607i
\(665\) 1.41418 + 4.81625i 0.0548395 + 0.186766i
\(666\) 5.57216 26.9091i 0.215917 1.04271i
\(667\) −13.1607 28.8179i −0.509584 1.11583i
\(668\) 19.6775 + 17.0506i 0.761345 + 0.659709i
\(669\) −6.83988 + 39.0281i −0.264445 + 1.50891i
\(670\) 30.8275 27.7588i 1.19097 1.07242i
\(671\) 14.3376i 0.553495i
\(672\) 2.56074 2.08481i 0.0987827 0.0804231i
\(673\) −21.2864 + 9.72119i −0.820532 + 0.374724i −0.781029 0.624495i \(-0.785305\pi\)
−0.0395030 + 0.999219i \(0.512577\pi\)
\(674\) −29.1397 + 4.18966i −1.12242 + 0.161380i
\(675\) −3.79064 + 15.8407i −0.145902 + 0.609708i
\(676\) −13.2942 3.90352i −0.511314 0.150135i
\(677\) 10.4148 12.0193i 0.400273 0.461940i −0.519454 0.854499i \(-0.673865\pi\)
0.919727 + 0.392559i \(0.128410\pi\)
\(678\) −41.0056 + 44.4876i −1.57481 + 1.70854i
\(679\) −0.507810 + 0.586043i −0.0194879 + 0.0224903i
\(680\) −5.45860 2.49286i −0.209328 0.0955967i
\(681\) −34.8906 + 3.92791i −1.33701 + 0.150518i
\(682\) −8.73757 13.5959i −0.334579 0.520615i
\(683\) −22.5015 + 14.4608i −0.860995 + 0.553328i −0.894986 0.446094i \(-0.852815\pi\)
0.0339912 + 0.999422i \(0.489178\pi\)
\(684\) −3.80013 + 18.3517i −0.145302 + 0.701693i
\(685\) 27.6701 + 31.9330i 1.05722 + 1.22010i
\(686\) 2.26812 + 7.72449i 0.0865971 + 0.294923i
\(687\) 9.01930 27.5583i 0.344108 1.05142i
\(688\) −60.6442 + 8.71932i −2.31204 + 0.332421i
\(689\) −0.795438 + 0.689251i −0.0303038 + 0.0262584i
\(690\) 8.59325 + 32.9782i 0.327139 + 1.25546i
\(691\) −33.5966 9.86486i −1.27808 0.375277i −0.428883 0.903360i \(-0.641093\pi\)
−0.849193 + 0.528083i \(0.822911\pi\)
\(692\) −4.07589 1.86139i −0.154942 0.0707596i
\(693\) 1.28946 0.105210i 0.0489824 0.00399659i
\(694\) −3.26009 + 22.6744i −0.123751 + 0.860709i
\(695\) 13.9039 + 21.6349i 0.527406 + 0.820659i
\(696\) 6.58172 20.1103i 0.249479 0.762280i
\(697\) −0.702032 + 2.39090i −0.0265914 + 0.0905619i
\(698\) −22.0905 14.1967i −0.836137 0.537353i
\(699\) −6.76706 + 38.6125i −0.255954 + 1.46046i
\(700\) 1.18315i 0.0447187i
\(701\) 9.96420 + 6.40360i 0.376342 + 0.241861i 0.715114 0.699008i \(-0.246375\pi\)
−0.338771 + 0.940869i \(0.610011\pi\)
\(702\) −7.61501 + 5.45849i −0.287410 + 0.206018i
\(703\) 18.2193 + 21.0262i 0.687154 + 0.793018i
\(704\) −0.379511 0.437979i −0.0143033 0.0165069i
\(705\) −19.7513 + 28.7535i −0.743878 + 1.08292i
\(706\) −7.08871 4.55564i −0.266787 0.171454i
\(707\) 2.26250i 0.0850902i
\(708\) −23.5873 4.13380i −0.886465 0.155358i
\(709\) 20.2416 + 13.0085i 0.760189 + 0.488544i 0.862405 0.506218i \(-0.168957\pi\)
−0.102216 + 0.994762i \(0.532593\pi\)
\(710\) 12.0719 41.1133i 0.453052 1.54295i
\(711\) 3.24289 + 1.72883i 0.121618 + 0.0648361i
\(712\) −4.21864 6.56433i −0.158100 0.246009i
\(713\) −3.79987 + 26.4287i −0.142306 + 0.989762i
\(714\) −1.36491 + 0.355660i −0.0510804 + 0.0133102i
\(715\) 3.48156 + 1.58997i 0.130203 + 0.0594616i
\(716\) 26.4197 + 7.75752i 0.987351 + 0.289912i
\(717\) 5.37906 1.40164i 0.200885 0.0523453i
\(718\) −37.3447 + 32.3594i −1.39369 + 1.20764i
\(719\) −17.4066 + 2.50269i −0.649157 + 0.0933346i −0.459024 0.888424i \(-0.651801\pi\)
−0.190132 + 0.981758i \(0.560892\pi\)
\(720\) −20.0264 + 37.5649i −0.746339 + 1.39996i
\(721\) 1.18175 + 4.02469i 0.0440108 + 0.149887i
\(722\) −11.7857 13.6014i −0.438619 0.506193i
\(723\) 33.4034 + 1.02560i 1.24229 + 0.0381424i
\(724\) −19.2322 + 12.3598i −0.714757 + 0.459347i
\(725\) −13.8292 21.5186i −0.513603 0.799181i
\(726\) 3.18524 + 28.2936i 0.118215 + 1.05007i
\(727\) 37.9963 + 17.3523i 1.40921 + 0.643563i 0.967332 0.253514i \(-0.0815865\pi\)
0.441874 + 0.897077i \(0.354314\pi\)
\(728\) −0.324410 + 0.374389i −0.0120234 + 0.0138758i
\(729\) 1.11648 26.9769i 0.0413511 0.999145i
\(730\) −10.7018 + 12.3505i −0.396092 + 0.457114i
\(731\) 16.6058 + 4.87591i 0.614188 + 0.180342i
\(732\) 21.5988 2.43155i 0.798315 0.0898726i
\(733\) −17.8276 + 2.56322i −0.658476 + 0.0946746i −0.463449 0.886123i \(-0.653388\pi\)
−0.195027 + 0.980798i \(0.562479\pi\)
\(734\) −5.71410 + 2.60954i −0.210911 + 0.0963199i
\(735\) −21.5008 26.4092i −0.793071 0.974119i
\(736\) 22.6976i 0.836644i
\(737\) 10.7421 + 1.33596i 0.395691 + 0.0492106i
\(738\) 8.88850 + 3.21424i 0.327190 + 0.118318i
\(739\) −12.9239 11.1986i −0.475414 0.411949i 0.383917 0.923367i \(-0.374575\pi\)
−0.859332 + 0.511419i \(0.829120\pi\)
\(740\) −7.06951 15.4801i −0.259880 0.569059i
\(741\) 0.291108 9.48130i 0.0106941 0.348304i
\(742\) 0.169326 + 0.576670i 0.00621614 + 0.0211702i
\(743\) 4.33548 14.7653i 0.159053 0.541686i −0.840946 0.541118i \(-0.818001\pi\)
1.00000 0.000567882i \(-0.000180763\pi\)
\(744\) −13.8297 + 11.2594i −0.507023 + 0.412788i
\(745\) 3.58739 5.58208i 0.131432 0.204512i
\(746\) −2.00535 1.73764i −0.0734209 0.0636196i
\(747\) −20.4696 20.0638i −0.748945 0.734096i
\(748\) 0.606083 + 2.06413i 0.0221606 + 0.0754720i
\(749\) 1.13999 0.732626i 0.0416542 0.0267696i
\(750\) −6.34192 15.0965i −0.231574 0.551248i
\(751\) 4.07875 + 28.3684i 0.148836 + 1.03518i 0.918129 + 0.396281i \(0.129699\pi\)
−0.769294 + 0.638895i \(0.779392\pi\)
\(752\) −26.5511 + 23.0067i −0.968221 + 0.838968i
\(753\) 0.803328 + 7.13575i 0.0292749 + 0.260041i
\(754\) 2.09401 14.5642i 0.0762593 0.530395i
\(755\) −4.22028 29.3527i −0.153592 1.06825i
\(756\) 0.377176 + 1.92466i 0.0137178 + 0.0699991i
\(757\) 9.35834 4.27381i 0.340135 0.155334i −0.238023 0.971260i \(-0.576499\pi\)
0.578157 + 0.815925i \(0.303772\pi\)
\(758\) −12.4527 + 42.4100i −0.452303 + 1.54040i
\(759\) −5.03512 + 7.33002i −0.182763 + 0.266063i
\(760\) −9.57323 20.9624i −0.347258 0.760388i
\(761\) −12.6542 1.81940i −0.458715 0.0659533i −0.0909162 0.995859i \(-0.528980\pi\)
−0.367799 + 0.929905i \(0.619889\pi\)
\(762\) 0.102523 + 0.244049i 0.00371400 + 0.00884096i
\(763\) 0.0826247 0.574668i 0.00299122 0.0208044i
\(764\) 2.19171 + 0.643544i 0.0792933 + 0.0232826i
\(765\) 9.55390 7.30235i 0.345422 0.264017i
\(766\) 22.1919 0.801825
\(767\) 12.1207 0.437653
\(768\) −23.7947 + 25.8153i −0.858619 + 0.931529i
\(769\) −7.44723 3.40104i −0.268554 0.122645i 0.276587 0.960989i \(-0.410797\pi\)
−0.545141 + 0.838344i \(0.683524\pi\)
\(770\) 1.65174 1.43124i 0.0595247 0.0515785i
\(771\) −14.3138 23.8517i −0.515499 0.858999i
\(772\) 10.9000 23.8676i 0.392298 0.859013i
\(773\) −19.0578 + 29.6545i −0.685461 + 1.06660i 0.307885 + 0.951424i \(0.400379\pi\)
−0.993345 + 0.115174i \(0.963257\pi\)
\(774\) 22.3242 61.7344i 0.802428 2.21900i
\(775\) 21.5581i 0.774389i
\(776\) 1.92473 2.99494i 0.0690938 0.107512i
\(777\) 2.61009 + 1.29022i 0.0936364 + 0.0462863i
\(778\) −65.2766 9.38536i −2.34028 0.336482i
\(779\) −8.05022 + 5.17356i −0.288429 + 0.185362i
\(780\) −1.80477 + 5.51443i −0.0646210 + 0.197448i
\(781\) 10.1707 4.64482i 0.363937 0.166205i
\(782\) 4.02755 8.81911i 0.144025 0.315371i
\(783\) 29.3563 + 30.5963i 1.04911 + 1.09342i
\(784\) −14.2476 31.1980i −0.508844 1.11421i
\(785\) −14.1466 16.3261i −0.504914 0.582702i
\(786\) −1.91947 + 62.5164i −0.0684651 + 2.22989i
\(787\) −6.87501 0.988477i −0.245068 0.0352354i 0.0186863 0.999825i \(-0.494052\pi\)
−0.263754 + 0.964590i \(0.584961\pi\)
\(788\) 17.3230 5.08649i 0.617107 0.181199i
\(789\) 22.9907 + 38.3103i 0.818489 + 1.36388i
\(790\) 6.14503 0.883522i 0.218630 0.0314343i
\(791\) −3.46573 5.39279i −0.123227 0.191745i
\(792\) −5.79092 + 1.32060i −0.205771 + 0.0469254i
\(793\) −10.5557 + 3.09943i −0.374843 + 0.110064i
\(794\) 5.58909 12.2384i 0.198349 0.434324i
\(795\) −3.23504 3.97356i −0.114735 0.140928i
\(796\) 2.87221 + 1.84586i 0.101803 + 0.0654246i
\(797\) 23.9600 + 20.7615i 0.848708 + 0.735410i 0.966236 0.257660i \(-0.0829513\pi\)
−0.117527 + 0.993070i \(0.537497\pi\)
\(798\) −4.85577 2.40030i −0.171892 0.0849697i
\(799\) 9.52211 2.79594i 0.336868 0.0989133i
\(800\) 2.60808 + 18.1396i 0.0922096 + 0.641332i
\(801\) 15.5845 1.27158i 0.550652 0.0449290i
\(802\) 34.6664 40.0072i 1.22411 1.41270i
\(803\) −4.26437 −0.150486
\(804\) −0.190766 + 16.4090i −0.00672781 + 0.578701i
\(805\) −3.61079 −0.127263
\(806\) −8.12082 + 9.37193i −0.286044 + 0.330112i
\(807\) 6.48007 + 24.8684i 0.228109 + 0.875411i
\(808\) −1.47825 10.2815i −0.0520048 0.361701i
\(809\) 29.7753 8.74281i 1.04684 0.307381i 0.287302 0.957840i \(-0.407242\pi\)
0.759541 + 0.650459i \(0.225424\pi\)
\(810\) −25.4232 37.8700i −0.893280 1.33062i
\(811\) 1.47243 + 1.27587i 0.0517041 + 0.0448019i 0.680330 0.732906i \(-0.261837\pi\)
−0.628625 + 0.777708i \(0.716382\pi\)
\(812\) −2.59111 1.66520i −0.0909301 0.0584372i
\(813\) −18.9090 + 15.3946i −0.663168 + 0.539913i
\(814\) 5.03226 11.0191i 0.176380 0.386219i
\(815\) 14.4758 4.25048i 0.507065 0.148888i
\(816\) 11.1654 4.69050i 0.390869 0.164200i
\(817\) 35.9326 + 55.9122i 1.25712 + 1.95612i
\(818\) 8.96873 1.28951i 0.313584 0.0450866i
\(819\) −0.356207 0.926587i −0.0124469 0.0323776i
\(820\) 5.61626 1.64908i 0.196128 0.0575885i
\(821\) 34.0384 + 4.89398i 1.18795 + 0.170801i 0.707817 0.706396i \(-0.249680\pi\)
0.480130 + 0.877197i \(0.340589\pi\)
\(822\) −45.5742 1.39928i −1.58958 0.0488056i
\(823\) 29.2403 + 33.7451i 1.01925 + 1.17628i 0.984230 + 0.176893i \(0.0566046\pi\)
0.0350219 + 0.999387i \(0.488850\pi\)
\(824\) −7.99985 17.5172i −0.278688 0.610241i
\(825\) −3.18174 + 6.43662i −0.110774 + 0.224094i
\(826\) 2.87519 6.29579i 0.100041 0.219058i
\(827\) 16.5185 7.54374i 0.574404 0.262322i −0.106963 0.994263i \(-0.534113\pi\)
0.681368 + 0.731941i \(0.261385\pi\)
\(828\) −11.8962 6.34204i −0.413422 0.220401i
\(829\) −25.0238 + 16.0819i −0.869114 + 0.558546i −0.897482 0.441052i \(-0.854606\pi\)
0.0283675 + 0.999598i \(0.490969\pi\)
\(830\) −47.9286 6.89109i −1.66363 0.239193i
\(831\) −10.5240 + 21.2899i −0.365074 + 0.738539i
\(832\) −0.240410 + 0.374086i −0.00833473 + 0.0129691i
\(833\) 9.68828i 0.335679i
\(834\) −27.3352 4.79064i −0.946540 0.165886i
\(835\) 34.6861 53.9726i 1.20036 1.86780i
\(836\) −3.43193 + 7.51488i −0.118696 + 0.259907i
\(837\) −6.87252 35.0691i −0.237549 1.21217i
\(838\) −1.31967 + 1.14350i −0.0455872 + 0.0395015i
\(839\) −34.6738 15.8350i −1.19707 0.546684i −0.285720 0.958313i \(-0.592233\pi\)
−0.911352 + 0.411629i \(0.864960\pi\)
\(840\) −1.77330 1.63451i −0.0611848 0.0563959i
\(841\) −37.5898 −1.29620
\(842\) −19.0741 −0.657337
\(843\) 17.6293 19.1263i 0.607184 0.658744i
\(844\) 20.0246 + 5.87976i 0.689276 + 0.202390i
\(845\) −4.85874 + 33.7933i −0.167146 + 1.16252i
\(846\) −8.36951 36.7010i −0.287750 1.26181i
\(847\) −2.98600 0.429323i −0.102600 0.0147517i
\(848\) −2.14371 4.69408i −0.0736154 0.161195i
\(849\) 17.7434 + 12.1883i 0.608952 + 0.418300i
\(850\) 2.20540 7.51090i 0.0756446 0.257622i
\(851\) −18.2047 + 8.31380i −0.624048 + 0.284993i
\(852\) 8.72207 + 14.5340i 0.298813 + 0.497925i
\(853\) −4.76521 33.1428i −0.163158 1.13479i −0.892634 0.450781i \(-0.851145\pi\)
0.729477 0.684006i \(-0.239764\pi\)
\(854\) −0.894029 + 6.21811i −0.0305931 + 0.212779i
\(855\) 46.0923 + 2.83305i 1.57632 + 0.0968883i
\(856\) −4.70176 + 4.07410i −0.160703 + 0.139250i
\(857\) −3.19454 22.2185i −0.109123 0.758969i −0.968749 0.248044i \(-0.920212\pi\)
0.859625 0.510925i \(-0.170697\pi\)
\(858\) −3.80784 + 1.59964i −0.129997 + 0.0546108i
\(859\) 3.99709 2.56878i 0.136379 0.0876455i −0.470672 0.882308i \(-0.655989\pi\)
0.607051 + 0.794663i \(0.292352\pi\)
\(860\) −11.4536 39.0073i −0.390564 1.33014i
\(861\) −0.567019 + 0.825453i −0.0193240 + 0.0281314i
\(862\) −22.0459 19.1029i −0.750886 0.650647i
\(863\) −26.1419 + 40.6777i −0.889882 + 1.38468i 0.0329402 + 0.999457i \(0.489513\pi\)
−0.922822 + 0.385226i \(0.874123\pi\)
\(864\) −10.0254 28.6768i −0.341070 0.975604i
\(865\) −3.11063 + 10.5938i −0.105765 + 0.360201i
\(866\) 4.50682 + 15.3488i 0.153148 + 0.521575i
\(867\) 26.0116 + 0.798645i 0.883400 + 0.0271234i
\(868\) 1.07836 + 2.36128i 0.0366019 + 0.0801470i
\(869\) 1.22431 + 1.06087i 0.0415319 + 0.0359876i
\(870\) 70.5560 + 12.3653i 2.39207 + 0.419224i
\(871\) −1.33861 8.19742i −0.0453572 0.277759i
\(872\) 2.66544i 0.0902632i
\(873\) 3.48147 + 6.22680i 0.117830 + 0.210745i
\(874\) 33.8677 15.4669i 1.14559 0.523174i
\(875\) 1.71726 0.246905i 0.0580540 0.00834690i
\(876\) −0.723207 6.42405i −0.0244349 0.217049i
\(877\) 12.9143 + 3.79198i 0.436085 + 0.128046i 0.492404 0.870367i \(-0.336118\pi\)
−0.0563193 + 0.998413i \(0.517936\pi\)
\(878\) −23.2777 + 26.8639i −0.785585 + 0.906613i
\(879\) 4.99359 + 4.60274i 0.168430 + 0.155247i
\(880\) −12.2889 + 14.1821i −0.414259 + 0.478080i
\(881\) −24.8061 11.3286i −0.835738 0.381669i −0.0488815 0.998805i \(-0.515566\pi\)
−0.786857 + 0.617136i \(0.788293\pi\)
\(882\) 36.6795 + 2.25449i 1.23506 + 0.0759127i
\(883\) 8.31803 + 12.9431i 0.279924 + 0.435570i 0.952536 0.304425i \(-0.0984642\pi\)
−0.672612 + 0.739995i \(0.734828\pi\)
\(884\) 1.38864 0.892428i 0.0467052 0.0300156i
\(885\) −1.81086 + 58.9790i −0.0608713 + 1.98256i
\(886\) −4.22413 4.87491i −0.141913 0.163776i
\(887\) 5.28865 + 18.0115i 0.177575 + 0.604766i 0.999387 + 0.0350069i \(0.0111453\pi\)
−0.821812 + 0.569759i \(0.807036\pi\)
\(888\) −12.7040 4.15777i −0.426318 0.139526i
\(889\) −0.0277610 + 0.00399143i −0.000931074 + 0.000133868i
\(890\) 19.9632 17.2982i 0.669167 0.579836i
\(891\) 3.12390 11.4849i 0.104655 0.384760i
\(892\) −25.4063 7.45996i −0.850666 0.249778i
\(893\) 34.6671 + 15.8320i 1.16009 + 0.529796i
\(894\) 1.80550 + 6.92894i 0.0603850 + 0.231738i
\(895\) 9.65586 67.1580i 0.322760 2.24484i
\(896\) −1.92414 2.99403i −0.0642811 0.100023i
\(897\) 6.48502 + 2.12242i 0.216528 + 0.0708655i
\(898\) −15.2710 + 52.0082i −0.509599 + 1.73554i
\(899\) 47.2125 + 30.3417i 1.57463 + 1.01195i
\(900\) −10.2360 3.70153i −0.341201 0.123384i
\(901\) 1.45771i 0.0485633i
\(902\) 3.50514 + 2.25262i 0.116708 + 0.0750040i
\(903\) 5.73312 + 3.93819i 0.190786 + 0.131055i
\(904\) 19.2728 + 22.2420i 0.641004 + 0.739758i
\(905\) 36.8897 + 42.5729i 1.22625 + 1.41517i
\(906\) 26.3767 + 18.1186i 0.876307 + 0.601951i
\(907\) −43.8162 28.1589i −1.45489 0.935002i −0.998988 0.0449728i \(-0.985680\pi\)
−0.455903 0.890029i \(-0.650684\pi\)
\(908\) 23.4637i 0.778670i
\(909\) 19.5741 + 7.07836i 0.649234 + 0.234774i
\(910\) −1.41079 0.906657i −0.0467671 0.0300554i
\(911\) −0.903794 + 3.07804i −0.0299440 + 0.101980i −0.973109 0.230344i \(-0.926015\pi\)
0.943165 + 0.332324i \(0.107833\pi\)
\(912\) 44.2011 + 14.4661i 1.46364 + 0.479022i
\(913\) −6.83114 10.6295i −0.226078 0.351784i
\(914\) 1.32007 9.18127i 0.0436639 0.303689i
\(915\) −13.5047 51.8268i −0.446452 1.71334i
\(916\) 17.6266 + 8.04978i 0.582398 + 0.265972i
\(917\) −6.35844 1.86701i −0.209974 0.0616539i
\(918\) −1.19318 + 12.9213i −0.0393808 + 0.426465i
\(919\) 40.2144 34.8460i 1.32655 1.14946i 0.349386 0.936979i \(-0.386390\pi\)
0.977165 0.212484i \(-0.0681553\pi\)
\(920\) 16.4085 2.35918i 0.540971 0.0777799i
\(921\) 22.0444 + 7.21469i 0.726387 + 0.237732i
\(922\) −8.38898 28.5702i −0.276276 0.940911i
\(923\) −5.61830 6.48386i −0.184928 0.213419i
\(924\) −0.0265328 + 0.864163i −0.000872863 + 0.0284289i
\(925\) −13.5936 + 8.73610i −0.446956 + 0.287241i
\(926\) 13.8509 + 21.5524i 0.455169 + 0.708257i
\(927\) 38.5169 + 2.36743i 1.26506 + 0.0777567i
\(928\) 43.3967 + 19.8186i 1.42457 + 0.650578i
\(929\) −24.9202 + 28.7594i −0.817605 + 0.943567i −0.999207 0.0398052i \(-0.987326\pi\)
0.181602 + 0.983372i \(0.441872\pi\)
\(930\) −44.3903 40.9159i −1.45562 1.34169i
\(931\) −24.3644 + 28.1181i −0.798512 + 0.921533i
\(932\) −25.1358 7.38053i −0.823350 0.241757i
\(933\) 0.745795 + 6.62470i 0.0244162 + 0.216883i
\(934\) −28.5297 + 4.10195i −0.933519 + 0.134220i
\(935\) 4.82187 2.20207i 0.157692 0.0720155i
\(936\) 2.22411 + 3.97795i 0.0726974 + 0.130023i
\(937\) 19.6766i 0.642807i −0.946942 0.321403i \(-0.895845\pi\)
0.946942 0.321403i \(-0.104155\pi\)
\(938\) −4.57548 1.24923i −0.149395 0.0407888i
\(939\) −45.9078 8.04559i −1.49814 0.262558i
\(940\) −17.6179 15.2660i −0.574633 0.497923i
\(941\) −12.0649 26.4184i −0.393304 0.861217i −0.997906 0.0646882i \(-0.979395\pi\)
0.604601 0.796528i \(-0.293333\pi\)
\(942\) 23.3003 + 0.715399i 0.759165 + 0.0233089i
\(943\) −1.93933 6.60477i −0.0631534 0.215081i
\(944\) −16.7425 + 57.0197i −0.544922 + 1.85583i
\(945\) 4.56197 1.59486i 0.148401 0.0518808i
\(946\) 15.6454 24.3447i 0.508675 0.791514i
\(947\) −6.52369 5.65281i −0.211991 0.183692i 0.542392 0.840125i \(-0.317519\pi\)
−0.754384 + 0.656434i \(0.772064\pi\)
\(948\) −1.39051 + 2.02428i −0.0451618 + 0.0657455i
\(949\) 0.921851 + 3.13954i 0.0299246 + 0.101914i
\(950\) 25.2894 16.2525i 0.820496 0.527301i
\(951\) −7.10796 + 2.98599i −0.230491 + 0.0968274i
\(952\) 0.0976423 + 0.679117i 0.00316461 + 0.0220103i
\(953\) 18.3965 15.9407i 0.595922 0.516369i −0.303856 0.952718i \(-0.598274\pi\)
0.899778 + 0.436349i \(0.143729\pi\)
\(954\) 5.51883 + 0.339213i 0.178679 + 0.0109824i
\(955\) 0.801026 5.57125i 0.0259206 0.180282i
\(956\) 0.528657 + 3.67689i 0.0170980 + 0.118919i
\(957\) 9.61819 + 16.0272i 0.310912 + 0.518086i
\(958\) −4.55707 + 2.08114i −0.147232 + 0.0672387i
\(959\) 1.36104 4.63528i 0.0439503 0.149681i
\(960\) −1.78438 1.22572i −0.0575905 0.0395600i
\(961\) −6.77090 14.8262i −0.218416 0.478265i
\(962\) −9.20040 1.32282i −0.296633 0.0426493i
\(963\) −2.77183 12.1547i −0.0893211 0.391680i
\(964\) −3.17833 + 22.1057i −0.102367 + 0.711978i
\(965\) −62.0353 18.2152i −1.99699 0.586369i
\(966\) 2.64077 2.86501i 0.0849654 0.0921803i
\(967\) −44.5088 −1.43131 −0.715654 0.698455i \(-0.753871\pi\)
−0.715654 + 0.698455i \(0.753871\pi\)
\(968\) 13.8498 0.445149
\(969\) −9.66000 8.90392i −0.310324 0.286035i
\(970\) 10.9626 + 5.00647i 0.351989 + 0.160748i
\(971\) 11.8130 10.2361i 0.379099 0.328491i −0.444380 0.895839i \(-0.646576\pi\)
0.823478 + 0.567348i \(0.192030\pi\)
\(972\) 17.8313 + 2.75823i 0.571938 + 0.0884703i
\(973\) 1.22147 2.67465i 0.0391586 0.0857453i
\(974\) 3.12221 4.85825i 0.100042 0.155668i
\(975\) 5.42662 + 0.951044i 0.173791 + 0.0304578i
\(976\) 53.9387i 1.72654i
\(977\) −25.0882 + 39.0380i −0.802643 + 1.24894i 0.162369 + 0.986730i \(0.448086\pi\)
−0.965012 + 0.262206i \(0.915550\pi\)
\(978\) −7.21439 + 14.5946i −0.230691 + 0.466683i
\(979\) 6.82268 + 0.980953i 0.218054 + 0.0313514i
\(980\) 19.1452 12.3038i 0.611570 0.393032i
\(981\) −4.71327 2.51271i −0.150483 0.0802246i
\(982\) −7.90093 + 3.60823i −0.252129 + 0.115143i
\(983\) −2.68455 + 5.87835i −0.0856240 + 0.187490i −0.947600 0.319458i \(-0.896499\pi\)
0.861976 + 0.506948i \(0.169226\pi\)
\(984\) 2.03737 4.12157i 0.0649491 0.131391i
\(985\) −18.4807 40.4671i −0.588844 1.28939i
\(986\) −13.3450 15.4010i −0.424992 0.490467i
\(987\) 3.98650 + 0.122399i 0.126892 + 0.00389601i
\(988\) 6.27454 + 0.902143i 0.199620 + 0.0287010i
\(989\) −45.8729 + 13.4695i −1.45867 + 0.428305i
\(990\) −7.21491 18.7679i −0.229305 0.596481i
\(991\) 1.47196 0.211636i 0.0467583 0.00672283i −0.118896 0.992907i \(-0.537935\pi\)
0.165654 + 0.986184i \(0.447026\pi\)
\(992\) −21.7382 33.8252i −0.690187 1.07395i
\(993\) 26.7394 11.2330i 0.848548 0.356467i
\(994\) −4.70062 + 1.38023i −0.149094 + 0.0437781i
\(995\) 3.49483 7.65261i 0.110793 0.242604i
\(996\) 14.8542 12.0934i 0.470674 0.383195i
\(997\) −21.5701 13.8623i −0.683133 0.439023i 0.152505 0.988303i \(-0.451266\pi\)
−0.835639 + 0.549280i \(0.814902\pi\)
\(998\) 22.0325 + 19.0913i 0.697427 + 0.604324i
\(999\) 19.3282 18.5448i 0.611516 0.586731i
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 201.2.j.a.5.5 200
3.2 odd 2 inner 201.2.j.a.5.16 yes 200
67.27 odd 22 inner 201.2.j.a.161.16 yes 200
201.161 even 22 inner 201.2.j.a.161.5 yes 200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.2.j.a.5.5 200 1.1 even 1 trivial
201.2.j.a.5.16 yes 200 3.2 odd 2 inner
201.2.j.a.161.5 yes 200 201.161 even 22 inner
201.2.j.a.161.16 yes 200 67.27 odd 22 inner