Properties

Label 418.2.n.e.125.3
Level $418$
Weight $2$
Character 418.125
Analytic conductor $3.338$
Analytic rank $0$
Dimension $72$
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] = [418,2,Mod(49,418)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(418, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([12, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("418.49");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.n (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: \(3.33774680449\)
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 125.3
Character \(\chi\) \(=\) 418.125
Dual form 418.2.n.e.311.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.913545 - 0.406737i) q^{2} +(-0.547677 - 0.608257i) q^{3} +(0.669131 - 0.743145i) q^{4} +(-0.129363 - 1.23080i) q^{5} +(-0.747728 - 0.332910i) q^{6} +(0.847071 + 2.60701i) q^{7} +(0.309017 - 0.951057i) q^{8} +(0.243559 - 2.31731i) q^{9} +O(q^{10})\) \(q+(0.913545 - 0.406737i) q^{2} +(-0.547677 - 0.608257i) q^{3} +(0.669131 - 0.743145i) q^{4} +(-0.129363 - 1.23080i) q^{5} +(-0.747728 - 0.332910i) q^{6} +(0.847071 + 2.60701i) q^{7} +(0.309017 - 0.951057i) q^{8} +(0.243559 - 2.31731i) q^{9} +(-0.618791 - 1.07178i) q^{10} +(3.30120 - 0.319478i) q^{11} -0.818491 q^{12} +(0.304250 - 2.89475i) q^{13} +(1.83421 + 2.03709i) q^{14} +(-0.677795 + 0.752768i) q^{15} +(-0.104528 - 0.994522i) q^{16} +(-0.166313 - 1.58237i) q^{17} +(-0.720032 - 2.21603i) q^{18} +(-3.93789 - 1.86896i) q^{19} +(-1.00123 - 0.727433i) q^{20} +(1.12181 - 1.94304i) q^{21} +(2.88585 - 1.63458i) q^{22} +(-1.40203 - 2.42839i) q^{23} +(-0.747728 + 0.332910i) q^{24} +(3.39260 - 0.721119i) q^{25} +(-0.899454 - 2.76823i) q^{26} +(-3.52943 + 2.56428i) q^{27} +(2.50419 + 1.11494i) q^{28} +(-3.06616 + 3.40531i) q^{29} +(-0.313019 + 0.963372i) q^{30} +(2.75612 + 2.00244i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-2.00232 - 1.83301i) q^{33} +(-0.795541 - 1.37792i) q^{34} +(3.09914 - 1.37983i) q^{35} +(-1.55912 - 1.73158i) q^{36} +(2.13847 + 6.58153i) q^{37} +(-4.35762 - 0.105693i) q^{38} +(-1.92738 + 1.40032i) q^{39} +(-1.21054 - 0.257308i) q^{40} +(-1.63602 - 1.81698i) q^{41} +(0.234523 - 2.23134i) q^{42} +(-5.84733 + 10.1279i) q^{43} +(1.97152 - 2.66704i) q^{44} -2.88366 q^{45} +(-2.26854 - 1.64819i) q^{46} +(12.0151 - 2.55388i) q^{47} +(-0.547677 + 0.608257i) q^{48} +(-0.415880 + 0.302154i) q^{49} +(2.80599 - 2.03867i) q^{50} +(-0.871400 + 0.967787i) q^{51} +(-1.94763 - 2.16307i) q^{52} +(-0.538187 + 5.12051i) q^{53} +(-2.18131 + 3.77814i) q^{54} +(-0.820266 - 4.02180i) q^{55} +2.74118 q^{56} +(1.01989 + 3.41884i) q^{57} +(-1.41601 + 4.35803i) q^{58} +(11.7397 + 2.49534i) q^{59} +(0.105882 + 1.00740i) q^{60} +(1.07800 + 0.479955i) q^{61} +(3.33231 + 0.708304i) q^{62} +(6.24757 - 1.32796i) q^{63} +(-0.809017 - 0.587785i) q^{64} -3.60222 q^{65} +(-2.57476 - 0.860121i) q^{66} +(5.29120 + 9.16462i) q^{67} +(-1.28721 - 0.935215i) q^{68} +(-0.709225 + 2.18277i) q^{69} +(2.26998 - 2.52107i) q^{70} +(0.521665 + 4.96331i) q^{71} +(-2.12863 - 0.947726i) q^{72} +(-14.7336 - 3.13173i) q^{73} +(4.63054 + 5.14273i) q^{74} +(-2.29667 - 1.66863i) q^{75} +(-4.02387 + 1.67585i) q^{76} +(3.62923 + 8.33566i) q^{77} +(-1.19119 + 2.06320i) q^{78} +(-5.51875 + 2.45710i) q^{79} +(-1.21054 + 0.257308i) q^{80} +(-3.34474 - 0.710946i) q^{81} +(-2.23361 - 0.994469i) q^{82} +(5.91320 - 4.29619i) q^{83} +(-0.693319 - 2.13382i) q^{84} +(-1.92607 + 0.409398i) q^{85} +(-1.22242 + 11.6306i) q^{86} +3.75057 q^{87} +(0.716286 - 3.23835i) q^{88} +(-5.71516 - 9.89895i) q^{89} +(-2.63435 + 1.17289i) q^{90} +(7.80437 - 1.65887i) q^{91} +(-2.74279 - 0.582998i) q^{92} +(-0.291467 - 2.77312i) q^{93} +(9.93756 - 7.22006i) q^{94} +(-1.79090 + 5.08854i) q^{95} +(-0.252928 + 0.778431i) q^{96} +(-13.3665 + 5.95114i) q^{97} +(-0.257028 + 0.445185i) q^{98} +(0.0637084 - 7.72772i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 9 q^{2} - 2 q^{3} + 9 q^{4} + 8 q^{5} + 3 q^{6} - 20 q^{7} - 18 q^{8} + 9 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 9 q^{2} - 2 q^{3} + 9 q^{4} + 8 q^{5} + 3 q^{6} - 20 q^{7} - 18 q^{8} + 9 q^{9} - 22 q^{10} + 10 q^{11} + 4 q^{12} + 15 q^{13} + 10 q^{14} + 9 q^{15} + 9 q^{16} + 6 q^{17} - 28 q^{18} + 7 q^{19} - 16 q^{20} + 48 q^{21} - 15 q^{22} - 20 q^{23} + 3 q^{24} + 7 q^{25} + 30 q^{26} - 56 q^{27} - 10 q^{28} + 35 q^{29} - 18 q^{30} + 52 q^{31} - 36 q^{32} - 12 q^{33} - 4 q^{34} - 9 q^{35} + 14 q^{36} - 52 q^{37} - 2 q^{38} - 42 q^{39} + 3 q^{40} + 41 q^{41} - 2 q^{42} + 14 q^{43} + 116 q^{45} - 50 q^{46} + 19 q^{47} - 2 q^{48} + 46 q^{49} - 44 q^{50} + 33 q^{51} - 15 q^{52} - 15 q^{53} - 2 q^{54} - 55 q^{55} - 33 q^{57} - 70 q^{58} - 13 q^{59} - 6 q^{60} + 8 q^{61} + 19 q^{62} + 40 q^{63} - 18 q^{64} + 120 q^{65} + 23 q^{66} + 2 q^{67} - 12 q^{68} - 194 q^{69} + q^{70} + 52 q^{71} + 9 q^{72} - 48 q^{73} + 26 q^{74} - 158 q^{75} + 20 q^{76} + 130 q^{77} + 46 q^{78} - 48 q^{79} + 3 q^{80} + 48 q^{81} - 14 q^{82} - 62 q^{83} + 44 q^{84} - 27 q^{85} - 16 q^{86} - 164 q^{87} + 10 q^{88} + 20 q^{89} + 52 q^{90} + 4 q^{91} - 15 q^{92} - 39 q^{93} - 8 q^{94} + 69 q^{95} + 4 q^{96} + 2 q^{97} - 48 q^{98} + 9 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.913545 0.406737i 0.645974 0.287606i
\(3\) −0.547677 0.608257i −0.316202 0.351177i 0.564002 0.825773i \(-0.309261\pi\)
−0.880204 + 0.474596i \(0.842594\pi\)
\(4\) 0.669131 0.743145i 0.334565 0.371572i
\(5\) −0.129363 1.23080i −0.0578527 0.550432i −0.984609 0.174769i \(-0.944082\pi\)
0.926757 0.375662i \(-0.122585\pi\)
\(6\) −0.747728 0.332910i −0.305259 0.135910i
\(7\) 0.847071 + 2.60701i 0.320163 + 0.985359i 0.973577 + 0.228359i \(0.0733359\pi\)
−0.653415 + 0.757000i \(0.726664\pi\)
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) 0.243559 2.31731i 0.0811863 0.772436i
\(10\) −0.618791 1.07178i −0.195679 0.338926i
\(11\) 3.30120 0.319478i 0.995350 0.0963262i
\(12\) −0.818491 −0.236278
\(13\) 0.304250 2.89475i 0.0843838 0.802859i −0.867714 0.497064i \(-0.834411\pi\)
0.952098 0.305794i \(-0.0989220\pi\)
\(14\) 1.83421 + 2.03709i 0.490212 + 0.544436i
\(15\) −0.677795 + 0.752768i −0.175006 + 0.194364i
\(16\) −0.104528 0.994522i −0.0261321 0.248630i
\(17\) −0.166313 1.58237i −0.0403369 0.383780i −0.996002 0.0893259i \(-0.971529\pi\)
0.955666 0.294454i \(-0.0951379\pi\)
\(18\) −0.720032 2.21603i −0.169713 0.522324i
\(19\) −3.93789 1.86896i −0.903414 0.428768i
\(20\) −1.00123 0.727433i −0.223881 0.162659i
\(21\) 1.12181 1.94304i 0.244800 0.424006i
\(22\) 2.88585 1.63458i 0.615266 0.348493i
\(23\) −1.40203 2.42839i −0.292344 0.506355i 0.682020 0.731334i \(-0.261102\pi\)
−0.974364 + 0.224979i \(0.927769\pi\)
\(24\) −0.747728 + 0.332910i −0.152629 + 0.0679550i
\(25\) 3.39260 0.721119i 0.678520 0.144224i
\(26\) −0.899454 2.76823i −0.176397 0.542895i
\(27\) −3.52943 + 2.56428i −0.679239 + 0.493496i
\(28\) 2.50419 + 1.11494i 0.473248 + 0.210703i
\(29\) −3.06616 + 3.40531i −0.569371 + 0.632351i −0.957216 0.289374i \(-0.906553\pi\)
0.387845 + 0.921725i \(0.373220\pi\)
\(30\) −0.313019 + 0.963372i −0.0571491 + 0.175887i
\(31\) 2.75612 + 2.00244i 0.495014 + 0.359649i 0.807109 0.590402i \(-0.201031\pi\)
−0.312095 + 0.950051i \(0.601031\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −2.00232 1.83301i −0.348559 0.319086i
\(34\) −0.795541 1.37792i −0.136434 0.236311i
\(35\) 3.09914 1.37983i 0.523851 0.233233i
\(36\) −1.55912 1.73158i −0.259854 0.288597i
\(37\) 2.13847 + 6.58153i 0.351562 + 1.08200i 0.957976 + 0.286848i \(0.0926074\pi\)
−0.606414 + 0.795149i \(0.707393\pi\)
\(38\) −4.35762 0.105693i −0.706899 0.0171457i
\(39\) −1.92738 + 1.40032i −0.308628 + 0.224231i
\(40\) −1.21054 0.257308i −0.191403 0.0406839i
\(41\) −1.63602 1.81698i −0.255503 0.283765i 0.601723 0.798705i \(-0.294481\pi\)
−0.857227 + 0.514939i \(0.827814\pi\)
\(42\) 0.234523 2.23134i 0.0361877 0.344303i
\(43\) −5.84733 + 10.1279i −0.891709 + 1.54449i −0.0538836 + 0.998547i \(0.517160\pi\)
−0.837825 + 0.545938i \(0.816173\pi\)
\(44\) 1.97152 2.66704i 0.297217 0.402072i
\(45\) −2.88366 −0.429870
\(46\) −2.26854 1.64819i −0.334477 0.243012i
\(47\) 12.0151 2.55388i 1.75258 0.372522i 0.783909 0.620876i \(-0.213223\pi\)
0.968669 + 0.248354i \(0.0798895\pi\)
\(48\) −0.547677 + 0.608257i −0.0790504 + 0.0877943i
\(49\) −0.415880 + 0.302154i −0.0594114 + 0.0431649i
\(50\) 2.80599 2.03867i 0.396826 0.288311i
\(51\) −0.871400 + 0.967787i −0.122020 + 0.135517i
\(52\) −1.94763 2.16307i −0.270088 0.299963i
\(53\) −0.538187 + 5.12051i −0.0739257 + 0.703356i 0.893304 + 0.449453i \(0.148381\pi\)
−0.967230 + 0.253903i \(0.918286\pi\)
\(54\) −2.18131 + 3.77814i −0.296838 + 0.514139i
\(55\) −0.820266 4.02180i −0.110605 0.542299i
\(56\) 2.74118 0.366305
\(57\) 1.01989 + 3.41884i 0.135087 + 0.452836i
\(58\) −1.41601 + 4.35803i −0.185931 + 0.572237i
\(59\) 11.7397 + 2.49534i 1.52837 + 0.324866i 0.893967 0.448132i \(-0.147911\pi\)
0.634408 + 0.772999i \(0.281244\pi\)
\(60\) 0.105882 + 1.00740i 0.0136693 + 0.130055i
\(61\) 1.07800 + 0.479955i 0.138023 + 0.0614520i 0.474586 0.880209i \(-0.342598\pi\)
−0.336563 + 0.941661i \(0.609264\pi\)
\(62\) 3.33231 + 0.708304i 0.423204 + 0.0899547i
\(63\) 6.24757 1.32796i 0.787120 0.167307i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −3.60222 −0.446801
\(66\) −2.57476 0.860121i −0.316931 0.105874i
\(67\) 5.29120 + 9.16462i 0.646422 + 1.11964i 0.983971 + 0.178328i \(0.0570689\pi\)
−0.337549 + 0.941308i \(0.609598\pi\)
\(68\) −1.28721 0.935215i −0.156098 0.113411i
\(69\) −0.709225 + 2.18277i −0.0853807 + 0.262775i
\(70\) 2.26998 2.52107i 0.271315 0.301325i
\(71\) 0.521665 + 4.96331i 0.0619102 + 0.589037i 0.980867 + 0.194678i \(0.0623663\pi\)
−0.918957 + 0.394358i \(0.870967\pi\)
\(72\) −2.12863 0.947726i −0.250861 0.111691i
\(73\) −14.7336 3.13173i −1.72444 0.366541i −0.764040 0.645169i \(-0.776787\pi\)
−0.960399 + 0.278628i \(0.910120\pi\)
\(74\) 4.63054 + 5.14273i 0.538289 + 0.597831i
\(75\) −2.29667 1.66863i −0.265197 0.192677i
\(76\) −4.02387 + 1.67585i −0.461570 + 0.192233i
\(77\) 3.62923 + 8.33566i 0.413590 + 0.949937i
\(78\) −1.19119 + 2.06320i −0.134875 + 0.233611i
\(79\) −5.51875 + 2.45710i −0.620908 + 0.276446i −0.692984 0.720953i \(-0.743704\pi\)
0.0720761 + 0.997399i \(0.477038\pi\)
\(80\) −1.21054 + 0.257308i −0.135342 + 0.0287679i
\(81\) −3.34474 0.710946i −0.371637 0.0789940i
\(82\) −2.23361 0.994469i −0.246661 0.109821i
\(83\) 5.91320 4.29619i 0.649058 0.471568i −0.213892 0.976857i \(-0.568614\pi\)
0.862950 + 0.505289i \(0.168614\pi\)
\(84\) −0.693319 2.13382i −0.0756473 0.232819i
\(85\) −1.92607 + 0.409398i −0.208911 + 0.0444055i
\(86\) −1.22242 + 11.6306i −0.131817 + 1.25416i
\(87\) 3.75057 0.402103
\(88\) 0.716286 3.23835i 0.0763563 0.345210i
\(89\) −5.71516 9.89895i −0.605806 1.04929i −0.991924 0.126837i \(-0.959517\pi\)
0.386118 0.922450i \(-0.373816\pi\)
\(90\) −2.63435 + 1.17289i −0.277685 + 0.123633i
\(91\) 7.80437 1.65887i 0.818120 0.173897i
\(92\) −2.74279 0.582998i −0.285956 0.0607817i
\(93\) −0.291467 2.77312i −0.0302237 0.287559i
\(94\) 9.93756 7.22006i 1.02498 0.744692i
\(95\) −1.79090 + 5.08854i −0.183743 + 0.522073i
\(96\) −0.252928 + 0.778431i −0.0258143 + 0.0794483i
\(97\) −13.3665 + 5.95114i −1.35716 + 0.604246i −0.950896 0.309510i \(-0.899835\pi\)
−0.406263 + 0.913756i \(0.633168\pi\)
\(98\) −0.257028 + 0.445185i −0.0259637 + 0.0449705i
\(99\) 0.0637084 7.72772i 0.00640294 0.776665i
\(100\) 1.73420 3.00371i 0.173420 0.300371i
\(101\) −1.08308 + 10.3048i −0.107771 + 1.02537i 0.798305 + 0.602254i \(0.205731\pi\)
−0.906075 + 0.423116i \(0.860936\pi\)
\(102\) −0.402429 + 1.23855i −0.0398464 + 0.122635i
\(103\) 0.608066 + 1.87143i 0.0599145 + 0.184398i 0.976534 0.215363i \(-0.0690933\pi\)
−0.916620 + 0.399760i \(0.869093\pi\)
\(104\) −2.65905 1.18389i −0.260741 0.116090i
\(105\) −2.53662 1.12938i −0.247549 0.110216i
\(106\) 1.59104 + 4.89672i 0.154535 + 0.475611i
\(107\) −2.69959 + 8.30849i −0.260979 + 0.803212i 0.731613 + 0.681720i \(0.238768\pi\)
−0.992592 + 0.121492i \(0.961232\pi\)
\(108\) −0.456017 + 4.33872i −0.0438803 + 0.417493i
\(109\) −2.15990 + 3.74105i −0.206881 + 0.358328i −0.950730 0.310019i \(-0.899665\pi\)
0.743850 + 0.668347i \(0.232998\pi\)
\(110\) −2.38516 3.34046i −0.227416 0.318501i
\(111\) 2.83207 4.90529i 0.268808 0.465590i
\(112\) 2.50419 1.11494i 0.236624 0.105352i
\(113\) −0.691284 + 2.12755i −0.0650305 + 0.200143i −0.978292 0.207230i \(-0.933555\pi\)
0.913262 + 0.407373i \(0.133555\pi\)
\(114\) 2.32228 + 2.70844i 0.217501 + 0.253668i
\(115\) −2.80750 + 2.03977i −0.261801 + 0.190209i
\(116\) 0.478981 + 4.55720i 0.0444723 + 0.423125i
\(117\) −6.63392 1.41008i −0.613306 0.130362i
\(118\) 11.7397 2.49534i 1.08072 0.229715i
\(119\) 3.98437 1.77396i 0.365247 0.162618i
\(120\) 0.506475 + 0.877240i 0.0462346 + 0.0800807i
\(121\) 10.7959 2.10932i 0.981443 0.191757i
\(122\) 1.18002 0.106834
\(123\) −0.209183 + 1.99024i −0.0188614 + 0.179454i
\(124\) 3.33231 0.708304i 0.299250 0.0636076i
\(125\) −3.23860 9.96739i −0.289669 0.891510i
\(126\) 5.16731 3.75427i 0.460340 0.334457i
\(127\) 1.06961 + 0.476221i 0.0949125 + 0.0422578i 0.453644 0.891183i \(-0.350124\pi\)
−0.358731 + 0.933441i \(0.616791\pi\)
\(128\) −0.978148 0.207912i −0.0864569 0.0183770i
\(129\) 9.36279 1.99012i 0.824348 0.175221i
\(130\) −3.29079 + 1.46516i −0.288622 + 0.128503i
\(131\) −2.25546 + 3.90656i −0.197060 + 0.341318i −0.947574 0.319537i \(-0.896473\pi\)
0.750514 + 0.660855i \(0.229806\pi\)
\(132\) −2.70200 + 0.261490i −0.235179 + 0.0227598i
\(133\) 1.53673 11.8493i 0.133251 1.02746i
\(134\) 8.56133 + 6.22017i 0.739587 + 0.537341i
\(135\) 3.61270 + 4.01231i 0.310932 + 0.345325i
\(136\) −1.55631 0.330805i −0.133453 0.0283663i
\(137\) 2.96270 + 1.31908i 0.253120 + 0.112696i 0.529375 0.848388i \(-0.322427\pi\)
−0.276255 + 0.961085i \(0.589093\pi\)
\(138\) 0.239903 + 2.28253i 0.0204219 + 0.194302i
\(139\) −3.10644 + 3.45005i −0.263484 + 0.292629i −0.860341 0.509719i \(-0.829749\pi\)
0.596857 + 0.802348i \(0.296416\pi\)
\(140\) 1.04832 3.22640i 0.0885992 0.272680i
\(141\) −8.13380 5.90955i −0.684989 0.497674i
\(142\) 2.49532 + 4.32203i 0.209403 + 0.362697i
\(143\) 0.0795836 9.65335i 0.00665512 0.807253i
\(144\) −2.33007 −0.194173
\(145\) 4.58792 + 3.33332i 0.381006 + 0.276817i
\(146\) −14.7336 + 3.13173i −1.21936 + 0.259184i
\(147\) 0.411555 + 0.0874788i 0.0339445 + 0.00721513i
\(148\) 6.32195 + 2.81471i 0.519661 + 0.231368i
\(149\) −0.435526 4.14375i −0.0356797 0.339469i −0.997770 0.0667398i \(-0.978740\pi\)
0.962091 0.272730i \(-0.0879264\pi\)
\(150\) −2.77681 0.590229i −0.226726 0.0481920i
\(151\) 6.16542 18.9752i 0.501735 1.54418i −0.304457 0.952526i \(-0.598475\pi\)
0.806192 0.591654i \(-0.201525\pi\)
\(152\) −2.99436 + 3.16762i −0.242875 + 0.256928i
\(153\) −3.70734 −0.299721
\(154\) 6.70589 + 6.13886i 0.540376 + 0.494684i
\(155\) 2.10807 3.65128i 0.169324 0.293278i
\(156\) −0.249026 + 2.36932i −0.0199380 + 0.189698i
\(157\) 0.427447 + 0.474728i 0.0341140 + 0.0378874i 0.759960 0.649969i \(-0.225218\pi\)
−0.725846 + 0.687857i \(0.758552\pi\)
\(158\) −4.04223 + 4.48935i −0.321583 + 0.357154i
\(159\) 3.40934 2.47703i 0.270378 0.196441i
\(160\) −1.00123 + 0.727433i −0.0791538 + 0.0575086i
\(161\) 5.14323 5.71214i 0.405343 0.450180i
\(162\) −3.34474 + 0.710946i −0.262787 + 0.0558572i
\(163\) −19.1419 13.9074i −1.49931 1.08931i −0.970655 0.240474i \(-0.922697\pi\)
−0.528654 0.848838i \(-0.677303\pi\)
\(164\) −2.44499 −0.190922
\(165\) −1.99705 + 2.70158i −0.155470 + 0.210318i
\(166\) 3.65456 6.32988i 0.283649 0.491294i
\(167\) 0.700016 6.66021i 0.0541689 0.515382i −0.933472 0.358650i \(-0.883237\pi\)
0.987641 0.156733i \(-0.0500961\pi\)
\(168\) −1.50128 1.66734i −0.115826 0.128638i
\(169\) 4.42892 + 0.941397i 0.340686 + 0.0724151i
\(170\) −1.59303 + 1.15741i −0.122180 + 0.0887690i
\(171\) −5.29006 + 8.67011i −0.404541 + 0.663020i
\(172\) 3.61385 + 11.1223i 0.275553 + 0.848066i
\(173\) 16.0506 + 17.8260i 1.22030 + 1.35528i 0.915219 + 0.402956i \(0.132017\pi\)
0.305082 + 0.952326i \(0.401316\pi\)
\(174\) 3.42632 1.52549i 0.259748 0.115647i
\(175\) 4.75374 + 8.23371i 0.359349 + 0.622410i
\(176\) −0.662797 3.24972i −0.0499602 0.244957i
\(177\) −4.91174 8.50738i −0.369189 0.639454i
\(178\) −9.24733 6.71858i −0.693116 0.503579i
\(179\) 0.173714 0.534637i 0.0129840 0.0399607i −0.944355 0.328929i \(-0.893312\pi\)
0.957339 + 0.288968i \(0.0933123\pi\)
\(180\) −1.92954 + 2.14297i −0.143820 + 0.159728i
\(181\) −21.8123 9.71147i −1.62130 0.721848i −0.623115 0.782130i \(-0.714133\pi\)
−0.998181 + 0.0602822i \(0.980800\pi\)
\(182\) 6.45492 4.68978i 0.478471 0.347629i
\(183\) −0.298458 0.918560i −0.0220627 0.0679019i
\(184\) −2.74279 + 0.582998i −0.202201 + 0.0429792i
\(185\) 7.82393 3.48344i 0.575227 0.256107i
\(186\) −1.39420 2.41482i −0.102228 0.177063i
\(187\) −1.05457 5.17058i −0.0771175 0.378110i
\(188\) 6.14175 10.6378i 0.447933 0.775843i
\(189\) −9.67479 7.02915i −0.703738 0.511295i
\(190\) 0.433625 + 5.37704i 0.0314585 + 0.390091i
\(191\) 5.44211 + 16.7491i 0.393777 + 1.21192i 0.929910 + 0.367788i \(0.119885\pi\)
−0.536132 + 0.844134i \(0.680115\pi\)
\(192\) 0.0855556 + 0.814007i 0.00617444 + 0.0587459i
\(193\) −1.25976 11.9858i −0.0906794 0.862756i −0.941435 0.337195i \(-0.890522\pi\)
0.850756 0.525562i \(-0.176145\pi\)
\(194\) −9.79033 + 10.8733i −0.702905 + 0.780655i
\(195\) 1.97285 + 2.19108i 0.141279 + 0.156906i
\(196\) −0.0537334 + 0.511239i −0.00383810 + 0.0365171i
\(197\) 6.60091 0.470296 0.235148 0.971960i \(-0.424443\pi\)
0.235148 + 0.971960i \(0.424443\pi\)
\(198\) −3.08494 7.08553i −0.219237 0.503547i
\(199\) −9.37861 16.2442i −0.664832 1.15152i −0.979331 0.202265i \(-0.935170\pi\)
0.314499 0.949258i \(-0.398164\pi\)
\(200\) 0.362546 3.44939i 0.0256358 0.243909i
\(201\) 2.67658 8.23766i 0.188791 0.581040i
\(202\) 3.20191 + 9.85447i 0.225286 + 0.693358i
\(203\) −11.4750 5.10898i −0.805384 0.358580i
\(204\) 0.136126 + 1.29515i 0.00953073 + 0.0906788i
\(205\) −2.02471 + 2.24867i −0.141412 + 0.157054i
\(206\) 1.31668 + 1.46232i 0.0917372 + 0.101884i
\(207\) −5.96881 + 2.65749i −0.414861 + 0.184708i
\(208\) −2.91069 −0.201820
\(209\) −13.5969 4.91174i −0.940515 0.339752i
\(210\) −2.77667 −0.191609
\(211\) 9.60401 4.27598i 0.661168 0.294371i −0.0485879 0.998819i \(-0.515472\pi\)
0.709755 + 0.704448i \(0.248805\pi\)
\(212\) 3.44516 + 3.82624i 0.236615 + 0.262787i
\(213\) 2.73326 3.03560i 0.187280 0.207996i
\(214\) 0.913167 + 8.68820i 0.0624228 + 0.593913i
\(215\) 13.2218 + 5.88674i 0.901721 + 0.401472i
\(216\) 1.34812 + 4.14909i 0.0917281 + 0.282310i
\(217\) −2.88576 + 8.88146i −0.195898 + 0.602913i
\(218\) −0.451541 + 4.29613i −0.0305822 + 0.290971i
\(219\) 6.16437 + 10.6770i 0.416549 + 0.721485i
\(220\) −3.53764 2.08153i −0.238508 0.140337i
\(221\) −4.63115 −0.311525
\(222\) 0.592064 5.63312i 0.0397368 0.378070i
\(223\) 18.1174 + 20.1215i 1.21323 + 1.34743i 0.920258 + 0.391313i \(0.127979\pi\)
0.292976 + 0.956120i \(0.405354\pi\)
\(224\) 1.83421 2.03709i 0.122553 0.136109i
\(225\) −0.844758 8.03733i −0.0563172 0.535822i
\(226\) 0.233834 + 2.22479i 0.0155544 + 0.147991i
\(227\) −1.49457 4.59982i −0.0991982 0.305301i 0.889127 0.457661i \(-0.151313\pi\)
−0.988325 + 0.152360i \(0.951313\pi\)
\(228\) 3.22313 + 1.52972i 0.213457 + 0.101308i
\(229\) 3.49476 + 2.53909i 0.230940 + 0.167788i 0.697238 0.716840i \(-0.254412\pi\)
−0.466297 + 0.884628i \(0.654412\pi\)
\(230\) −1.73513 + 3.00533i −0.114411 + 0.198166i
\(231\) 3.08258 6.77276i 0.202819 0.445615i
\(232\) 2.29115 + 3.96839i 0.150421 + 0.260538i
\(233\) 15.8641 7.06314i 1.03929 0.462722i 0.185120 0.982716i \(-0.440733\pi\)
0.854170 + 0.519994i \(0.174066\pi\)
\(234\) −6.63392 + 1.41008i −0.433673 + 0.0921800i
\(235\) −4.69763 14.4578i −0.306439 0.943123i
\(236\) 9.70978 7.05456i 0.632053 0.459213i
\(237\) 4.51704 + 2.01112i 0.293413 + 0.130636i
\(238\) 2.91837 3.24118i 0.189170 0.210095i
\(239\) −3.93745 + 12.1182i −0.254692 + 0.783862i 0.739198 + 0.673488i \(0.235205\pi\)
−0.993890 + 0.110374i \(0.964795\pi\)
\(240\) 0.819493 + 0.595397i 0.0528981 + 0.0384327i
\(241\) −0.328002 0.568116i −0.0211285 0.0365956i 0.855268 0.518186i \(-0.173393\pi\)
−0.876396 + 0.481591i \(0.840059\pi\)
\(242\) 9.00458 6.31804i 0.578836 0.406139i
\(243\) 7.94332 + 13.7582i 0.509564 + 0.882591i
\(244\) 1.07800 0.479955i 0.0690117 0.0307260i
\(245\) 0.425691 + 0.472778i 0.0271964 + 0.0302047i
\(246\) 0.618406 + 1.90326i 0.0394281 + 0.121347i
\(247\) −6.60827 + 10.8306i −0.420474 + 0.689133i
\(248\) 2.75612 2.00244i 0.175014 0.127155i
\(249\) −5.85172 1.24382i −0.370837 0.0788239i
\(250\) −7.01271 7.78840i −0.443523 0.492582i
\(251\) 0.725861 6.90611i 0.0458159 0.435910i −0.947437 0.319942i \(-0.896337\pi\)
0.993253 0.115967i \(-0.0369968\pi\)
\(252\) 3.19357 5.53143i 0.201176 0.348447i
\(253\) −5.40421 7.56869i −0.339760 0.475840i
\(254\) 1.17083 0.0734646
\(255\) 1.30388 + 0.947326i 0.0816522 + 0.0593238i
\(256\) −0.978148 + 0.207912i −0.0611342 + 0.0129945i
\(257\) 4.51474 5.01412i 0.281622 0.312772i −0.585693 0.810533i \(-0.699178\pi\)
0.867314 + 0.497761i \(0.165844\pi\)
\(258\) 7.74388 5.62626i 0.482113 0.350276i
\(259\) −15.3467 + 11.1500i −0.953598 + 0.692830i
\(260\) −2.41036 + 2.67697i −0.149484 + 0.166019i
\(261\) 7.14437 + 7.93463i 0.442226 + 0.491141i
\(262\) −0.471519 + 4.48620i −0.0291305 + 0.277158i
\(263\) 10.7849 18.6800i 0.665027 1.15186i −0.314251 0.949340i \(-0.601753\pi\)
0.979278 0.202521i \(-0.0649134\pi\)
\(264\) −2.36204 + 1.33789i −0.145374 + 0.0823412i
\(265\) 6.37196 0.391426
\(266\) −3.41567 11.4499i −0.209428 0.702039i
\(267\) −2.89104 + 8.89772i −0.176929 + 0.544531i
\(268\) 10.3511 + 2.20020i 0.632297 + 0.134399i
\(269\) −3.08214 29.3246i −0.187921 1.78795i −0.529715 0.848176i \(-0.677701\pi\)
0.341794 0.939775i \(-0.388966\pi\)
\(270\) 4.93232 + 2.19601i 0.300171 + 0.133645i
\(271\) −17.9227 3.80958i −1.08873 0.231416i −0.371623 0.928384i \(-0.621199\pi\)
−0.717102 + 0.696968i \(0.754532\pi\)
\(272\) −1.55631 + 0.330805i −0.0943654 + 0.0200580i
\(273\) −5.28330 3.83854i −0.319760 0.232319i
\(274\) 3.24307 0.195921
\(275\) 10.9693 3.46442i 0.661472 0.208912i
\(276\) 1.14755 + 1.98762i 0.0690744 + 0.119640i
\(277\) −2.16483 1.57284i −0.130072 0.0945031i 0.520847 0.853650i \(-0.325616\pi\)
−0.650919 + 0.759147i \(0.725616\pi\)
\(278\) −1.43461 + 4.41528i −0.0860422 + 0.264811i
\(279\) 5.31155 5.89908i 0.317994 0.353168i
\(280\) −0.354606 3.37385i −0.0211917 0.201626i
\(281\) −18.1942 8.10058i −1.08537 0.483240i −0.215495 0.976505i \(-0.569137\pi\)
−0.869879 + 0.493265i \(0.835803\pi\)
\(282\) −9.83422 2.09033i −0.585620 0.124477i
\(283\) −12.1499 13.4939i −0.722239 0.802127i 0.264510 0.964383i \(-0.414790\pi\)
−0.986749 + 0.162255i \(0.948123\pi\)
\(284\) 4.03752 + 2.93343i 0.239583 + 0.174067i
\(285\) 4.07598 1.69755i 0.241440 0.100554i
\(286\) −3.85367 8.85114i −0.227872 0.523379i
\(287\) 3.35108 5.80424i 0.197808 0.342614i
\(288\) −2.12863 + 0.947726i −0.125431 + 0.0558453i
\(289\) 14.1523 3.00816i 0.832487 0.176951i
\(290\) 5.54705 + 1.17906i 0.325734 + 0.0692369i
\(291\) 10.9403 + 4.87095i 0.641334 + 0.285540i
\(292\) −12.1860 + 8.85368i −0.713134 + 0.518122i
\(293\) 3.73996 + 11.5104i 0.218491 + 0.672445i 0.998887 + 0.0471601i \(0.0150171\pi\)
−0.780397 + 0.625285i \(0.784983\pi\)
\(294\) 0.411555 0.0874788i 0.0240024 0.00510186i
\(295\) 1.55260 14.7720i 0.0903960 0.860060i
\(296\) 6.92023 0.402230
\(297\) −10.8321 + 9.59278i −0.628544 + 0.556630i
\(298\) −2.08329 3.60836i −0.120682 0.209027i
\(299\) −7.45615 + 3.31969i −0.431200 + 0.191983i
\(300\) −2.77681 + 0.590229i −0.160319 + 0.0340769i
\(301\) −31.3566 6.66505i −1.80736 0.384167i
\(302\) −2.08552 19.8424i −0.120008 1.14180i
\(303\) 6.86117 4.98494i 0.394164 0.286377i
\(304\) −1.44710 + 4.11168i −0.0829968 + 0.235821i
\(305\) 0.451278 1.38889i 0.0258401 0.0795276i
\(306\) −3.38682 + 1.50791i −0.193612 + 0.0862015i
\(307\) −11.9925 + 20.7717i −0.684451 + 1.18550i 0.289158 + 0.957281i \(0.406625\pi\)
−0.973609 + 0.228222i \(0.926709\pi\)
\(308\) 8.62304 + 2.88060i 0.491343 + 0.164137i
\(309\) 0.805289 1.39480i 0.0458113 0.0793475i
\(310\) 0.440707 4.19304i 0.0250305 0.238149i
\(311\) 7.38771 22.7370i 0.418919 1.28930i −0.489779 0.871846i \(-0.662923\pi\)
0.908698 0.417453i \(-0.137077\pi\)
\(312\) 0.736194 + 2.26577i 0.0416788 + 0.128274i
\(313\) 7.96113 + 3.54452i 0.449990 + 0.200348i 0.619203 0.785231i \(-0.287456\pi\)
−0.169213 + 0.985580i \(0.554123\pi\)
\(314\) 0.583581 + 0.259827i 0.0329334 + 0.0146629i
\(315\) −2.44266 7.51774i −0.137628 0.423577i
\(316\) −1.86678 + 5.74535i −0.105014 + 0.323201i
\(317\) −1.40750 + 13.3914i −0.0790529 + 0.752138i 0.881150 + 0.472836i \(0.156770\pi\)
−0.960203 + 0.279302i \(0.909897\pi\)
\(318\) 2.10709 3.64958i 0.118160 0.204658i
\(319\) −9.03408 + 12.2212i −0.505812 + 0.684256i
\(320\) −0.618791 + 1.07178i −0.0345915 + 0.0599142i
\(321\) 6.53220 2.90832i 0.364592 0.162327i
\(322\) 2.37524 7.31024i 0.132367 0.407384i
\(323\) −2.30245 + 6.54202i −0.128112 + 0.364008i
\(324\) −2.76640 + 2.00991i −0.153689 + 0.111662i
\(325\) −1.05526 10.0401i −0.0585352 0.556925i
\(326\) −23.1436 4.91933i −1.28181 0.272457i
\(327\) 3.45845 0.735116i 0.191253 0.0406520i
\(328\) −2.23361 + 0.994469i −0.123331 + 0.0549103i
\(329\) 16.8356 + 29.1602i 0.928178 + 1.60765i
\(330\) −0.725561 + 3.28029i −0.0399408 + 0.180574i
\(331\) −10.8089 −0.594112 −0.297056 0.954860i \(-0.596005\pi\)
−0.297056 + 0.954860i \(0.596005\pi\)
\(332\) 0.764011 7.26908i 0.0419306 0.398943i
\(333\) 15.7723 3.35250i 0.864316 0.183716i
\(334\) −2.06945 6.36912i −0.113235 0.348503i
\(335\) 10.5954 7.69798i 0.578886 0.420585i
\(336\) −2.04966 0.912566i −0.111818 0.0497845i
\(337\) 1.12219 + 0.238530i 0.0611298 + 0.0129935i 0.238375 0.971173i \(-0.423385\pi\)
−0.177245 + 0.984167i \(0.556719\pi\)
\(338\) 4.42892 0.941397i 0.240902 0.0512052i
\(339\) 1.67270 0.744734i 0.0908485 0.0404484i
\(340\) −0.984548 + 1.70529i −0.0533946 + 0.0924822i
\(341\) 9.73825 + 5.72994i 0.527356 + 0.310294i
\(342\) −1.30626 + 10.0722i −0.0706345 + 0.544642i
\(343\) 14.3836 + 10.4503i 0.776642 + 0.564264i
\(344\) 7.82525 + 8.69082i 0.421909 + 0.468578i
\(345\) 2.77831 + 0.590547i 0.149579 + 0.0317940i
\(346\) 21.9134 + 9.75647i 1.17807 + 0.524511i
\(347\) 3.62938 + 34.5312i 0.194835 + 1.85373i 0.457962 + 0.888972i \(0.348580\pi\)
−0.263127 + 0.964761i \(0.584754\pi\)
\(348\) 2.50962 2.78722i 0.134530 0.149411i
\(349\) 6.74519 20.7596i 0.361062 1.11123i −0.591349 0.806416i \(-0.701404\pi\)
0.952411 0.304818i \(-0.0985957\pi\)
\(350\) 7.69171 + 5.58835i 0.411139 + 0.298710i
\(351\) 6.34912 + 10.9970i 0.338891 + 0.586976i
\(352\) −1.92728 2.69919i −0.102724 0.143867i
\(353\) 0.963911 0.0513038 0.0256519 0.999671i \(-0.491834\pi\)
0.0256519 + 0.999671i \(0.491834\pi\)
\(354\) −7.94736 5.77409i −0.422397 0.306890i
\(355\) 6.04137 1.28413i 0.320643 0.0681547i
\(356\) −11.1805 2.37650i −0.592568 0.125954i
\(357\) −3.26117 1.45197i −0.172600 0.0768463i
\(358\) −0.0587608 0.559071i −0.00310560 0.0295478i
\(359\) 0.454674 + 0.0966440i 0.0239968 + 0.00510067i 0.219894 0.975524i \(-0.429429\pi\)
−0.195898 + 0.980624i \(0.562762\pi\)
\(360\) −0.891099 + 2.74252i −0.0469650 + 0.144544i
\(361\) 12.0140 + 14.7195i 0.632315 + 0.774711i
\(362\) −23.8766 −1.25492
\(363\) −7.19566 5.41144i −0.377674 0.284027i
\(364\) 3.98936 6.90978i 0.209099 0.362171i
\(365\) −1.94856 + 18.5393i −0.101992 + 0.970391i
\(366\) −0.646267 0.717753i −0.0337809 0.0375175i
\(367\) −4.25898 + 4.73008i −0.222317 + 0.246908i −0.843977 0.536379i \(-0.819792\pi\)
0.621660 + 0.783287i \(0.286458\pi\)
\(368\) −2.26854 + 1.64819i −0.118256 + 0.0859177i
\(369\) −4.60898 + 3.34862i −0.239934 + 0.174322i
\(370\) 5.73067 6.36456i 0.297923 0.330878i
\(371\) −13.8051 + 2.93437i −0.716726 + 0.152345i
\(372\) −2.25586 1.63898i −0.116961 0.0849771i
\(373\) −3.35341 −0.173633 −0.0868166 0.996224i \(-0.527669\pi\)
−0.0868166 + 0.996224i \(0.527669\pi\)
\(374\) −3.06646 4.29463i −0.158563 0.222070i
\(375\) −4.28903 + 7.42881i −0.221484 + 0.383622i
\(376\) 1.28398 12.2162i 0.0662160 0.630003i
\(377\) 8.92464 + 9.91182i 0.459643 + 0.510485i
\(378\) −11.6974 2.48635i −0.601648 0.127884i
\(379\) −28.2848 + 20.5501i −1.45289 + 1.05559i −0.467750 + 0.883861i \(0.654935\pi\)
−0.985144 + 0.171728i \(0.945065\pi\)
\(380\) 2.58318 + 4.73580i 0.132514 + 0.242941i
\(381\) −0.296136 0.911413i −0.0151715 0.0466931i
\(382\) 11.7841 + 13.0876i 0.602926 + 0.669618i
\(383\) 8.00682 3.56486i 0.409129 0.182156i −0.191844 0.981425i \(-0.561447\pi\)
0.600973 + 0.799269i \(0.294780\pi\)
\(384\) 0.409245 + 0.708834i 0.0208842 + 0.0361725i
\(385\) 9.79007 5.54519i 0.498948 0.282609i
\(386\) −6.02591 10.4372i −0.306711 0.531238i
\(387\) 22.0452 + 16.0168i 1.12062 + 0.814179i
\(388\) −4.52136 + 13.9153i −0.229537 + 0.706443i
\(389\) 0.839054 0.931864i 0.0425417 0.0472474i −0.721498 0.692416i \(-0.756546\pi\)
0.764040 + 0.645169i \(0.223213\pi\)
\(390\) 2.69348 + 1.19922i 0.136390 + 0.0607247i
\(391\) −3.60943 + 2.62240i −0.182537 + 0.132621i
\(392\) 0.158852 + 0.488896i 0.00802323 + 0.0246930i
\(393\) 3.61146 0.767639i 0.182174 0.0387223i
\(394\) 6.03024 2.68483i 0.303799 0.135260i
\(395\) 3.73813 + 6.47463i 0.188086 + 0.325774i
\(396\) −5.70018 5.21820i −0.286445 0.262224i
\(397\) −5.03473 + 8.72042i −0.252686 + 0.437665i −0.964264 0.264942i \(-0.914647\pi\)
0.711578 + 0.702607i \(0.247981\pi\)
\(398\) −15.1749 11.0252i −0.760649 0.552644i
\(399\) −8.04904 + 5.55486i −0.402956 + 0.278091i
\(400\) −1.07179 3.29864i −0.0535896 0.164932i
\(401\) 0.544993 + 5.18527i 0.0272157 + 0.258940i 0.999666 + 0.0258310i \(0.00822317\pi\)
−0.972451 + 0.233109i \(0.925110\pi\)
\(402\) −0.905382 8.61414i −0.0451564 0.429634i
\(403\) 6.63511 7.36904i 0.330518 0.367078i
\(404\) 6.93327 + 7.70018i 0.344943 + 0.383098i
\(405\) −0.442350 + 4.20868i −0.0219806 + 0.209131i
\(406\) −12.5609 −0.623387
\(407\) 9.16217 + 21.0438i 0.454152 + 1.04310i
\(408\) 0.651143 + 1.12781i 0.0322364 + 0.0558351i
\(409\) −1.21680 + 11.5771i −0.0601671 + 0.572452i 0.922360 + 0.386332i \(0.126258\pi\)
−0.982527 + 0.186120i \(0.940409\pi\)
\(410\) −0.935049 + 2.87778i −0.0461788 + 0.142124i
\(411\) −0.820263 2.52451i −0.0404606 0.124525i
\(412\) 1.79762 + 0.800353i 0.0885625 + 0.0394306i
\(413\) 3.43893 + 32.7192i 0.169219 + 1.61001i
\(414\) −4.37188 + 4.85547i −0.214866 + 0.238633i
\(415\) −6.05271 6.72222i −0.297116 0.329981i
\(416\) −2.65905 + 1.18389i −0.130371 + 0.0580448i
\(417\) 3.79984 0.186079
\(418\) −14.4191 + 1.04325i −0.705263 + 0.0510269i
\(419\) −14.9567 −0.730683 −0.365342 0.930874i \(-0.619048\pi\)
−0.365342 + 0.930874i \(0.619048\pi\)
\(420\) −2.53662 + 1.12938i −0.123774 + 0.0551079i
\(421\) −19.2178 21.3435i −0.936617 1.04022i −0.999110 0.0421732i \(-0.986572\pi\)
0.0624933 0.998045i \(-0.480095\pi\)
\(422\) 7.03450 7.81261i 0.342434 0.380312i
\(423\) −2.99176 28.4647i −0.145464 1.38400i
\(424\) 4.70358 + 2.09417i 0.228426 + 0.101702i
\(425\) −1.70531 5.24840i −0.0827196 0.254585i
\(426\) 1.26227 3.88488i 0.0611573 0.188223i
\(427\) −0.338111 + 3.21691i −0.0163623 + 0.155677i
\(428\) 4.36803 + 7.56565i 0.211137 + 0.365700i
\(429\) −5.91530 + 5.23851i −0.285594 + 0.252918i
\(430\) 14.4731 0.697955
\(431\) −1.56101 + 14.8520i −0.0751910 + 0.715395i 0.890373 + 0.455231i \(0.150443\pi\)
−0.965564 + 0.260164i \(0.916223\pi\)
\(432\) 2.91916 + 3.24205i 0.140448 + 0.155983i
\(433\) −12.1845 + 13.5323i −0.585551 + 0.650320i −0.961008 0.276520i \(-0.910819\pi\)
0.375457 + 0.926840i \(0.377486\pi\)
\(434\) 0.976141 + 9.28736i 0.0468563 + 0.445808i
\(435\) −0.485183 4.61621i −0.0232628 0.221330i
\(436\) 1.33489 + 4.10837i 0.0639296 + 0.196755i
\(437\) 0.982491 + 12.1831i 0.0469989 + 0.582796i
\(438\) 9.97416 + 7.24665i 0.476584 + 0.346258i
\(439\) −0.0271970 + 0.0471067i −0.00129804 + 0.00224828i −0.866674 0.498875i \(-0.833747\pi\)
0.865376 + 0.501124i \(0.167080\pi\)
\(440\) −4.07843 0.462685i −0.194432 0.0220576i
\(441\) 0.598893 + 1.03731i 0.0285187 + 0.0493959i
\(442\) −4.23077 + 1.88366i −0.201237 + 0.0895966i
\(443\) 23.8414 5.06765i 1.13274 0.240771i 0.396857 0.917880i \(-0.370101\pi\)
0.735883 + 0.677109i \(0.236767\pi\)
\(444\) −1.75032 5.38692i −0.0830664 0.255652i
\(445\) −11.4443 + 8.31479i −0.542513 + 0.394159i
\(446\) 24.7352 + 11.0128i 1.17125 + 0.521473i
\(447\) −2.28194 + 2.53435i −0.107932 + 0.119871i
\(448\) 0.847071 2.60701i 0.0400203 0.123170i
\(449\) −17.9719 13.0574i −0.848148 0.616215i 0.0764871 0.997071i \(-0.475630\pi\)
−0.924635 + 0.380855i \(0.875630\pi\)
\(450\) −4.04080 6.99887i −0.190485 0.329930i
\(451\) −5.98132 5.47556i −0.281649 0.257834i
\(452\) 1.11852 + 1.93733i 0.0526108 + 0.0911245i
\(453\) −14.9185 + 6.64213i −0.700931 + 0.312074i
\(454\) −3.23627 3.59425i −0.151886 0.168686i
\(455\) −3.05134 9.39105i −0.143049 0.440259i
\(456\) 3.56667 + 0.0865087i 0.167025 + 0.00405114i
\(457\) −28.0431 + 20.3745i −1.31180 + 0.953080i −0.311807 + 0.950145i \(0.600934\pi\)
−0.999996 + 0.00293501i \(0.999066\pi\)
\(458\) 4.22537 + 0.898129i 0.197438 + 0.0419668i
\(459\) 4.64462 + 5.15838i 0.216792 + 0.240772i
\(460\) −0.362741 + 3.45125i −0.0169129 + 0.160915i
\(461\) 14.6060 25.2983i 0.680269 1.17826i −0.294630 0.955611i \(-0.595196\pi\)
0.974899 0.222648i \(-0.0714702\pi\)
\(462\) 0.0613449 7.44102i 0.00285402 0.346188i
\(463\) 33.5152 1.55758 0.778791 0.627283i \(-0.215833\pi\)
0.778791 + 0.627283i \(0.215833\pi\)
\(464\) 3.70716 + 2.69341i 0.172101 + 0.125038i
\(465\) −3.37546 + 0.717476i −0.156533 + 0.0332722i
\(466\) 11.6197 12.9050i 0.538273 0.597812i
\(467\) −6.66085 + 4.83939i −0.308227 + 0.223940i −0.731135 0.682232i \(-0.761009\pi\)
0.422908 + 0.906173i \(0.361009\pi\)
\(468\) −5.48686 + 3.98643i −0.253630 + 0.184273i
\(469\) −19.4103 + 21.5573i −0.896284 + 0.995424i
\(470\) −10.1720 11.2972i −0.469200 0.521099i
\(471\) 0.0546537 0.519995i 0.00251831 0.0239601i
\(472\) 6.00097 10.3940i 0.276217 0.478422i
\(473\) −16.0676 + 35.3022i −0.738788 + 1.62320i
\(474\) 4.94452 0.227109
\(475\) −14.7074 3.50093i −0.674823 0.160634i
\(476\) 1.34776 4.14798i 0.0617745 0.190122i
\(477\) 11.7347 + 2.49429i 0.537296 + 0.114206i
\(478\) 1.33189 + 12.6720i 0.0609190 + 0.579606i
\(479\) −1.44852 0.644921i −0.0661844 0.0294672i 0.373377 0.927679i \(-0.378200\pi\)
−0.439562 + 0.898212i \(0.644866\pi\)
\(480\) 0.990814 + 0.210604i 0.0452243 + 0.00961271i
\(481\) 19.7025 4.18790i 0.898357 0.190952i
\(482\) −0.530719 0.385590i −0.0241736 0.0175631i
\(483\) −6.29128 −0.286263
\(484\) 5.65631 9.43431i 0.257105 0.428832i
\(485\) 9.05380 + 15.6816i 0.411112 + 0.712066i
\(486\) 12.8526 + 9.33793i 0.583004 + 0.423577i
\(487\) −5.68708 + 17.5030i −0.257706 + 0.793138i 0.735578 + 0.677440i \(0.236911\pi\)
−0.993284 + 0.115698i \(0.963089\pi\)
\(488\) 0.789584 0.876922i 0.0357428 0.0396964i
\(489\) 2.02430 + 19.2600i 0.0915422 + 0.870966i
\(490\) 0.581185 + 0.258760i 0.0262553 + 0.0116896i
\(491\) −27.5016 5.84564i −1.24113 0.263810i −0.459852 0.887996i \(-0.652098\pi\)
−0.781276 + 0.624186i \(0.785431\pi\)
\(492\) 1.33907 + 1.48718i 0.0603698 + 0.0670475i
\(493\) 5.89840 + 4.28544i 0.265651 + 0.193006i
\(494\) −1.63176 + 12.5820i −0.0734164 + 0.566093i
\(495\) −9.51953 + 0.921265i −0.427871 + 0.0414078i
\(496\) 1.70338 2.95034i 0.0764839 0.132474i
\(497\) −12.4975 + 5.56426i −0.560591 + 0.249591i
\(498\) −5.85172 + 1.24382i −0.262222 + 0.0557369i
\(499\) 4.70036 + 0.999092i 0.210417 + 0.0447255i 0.311914 0.950110i \(-0.399030\pi\)
−0.101497 + 0.994836i \(0.532363\pi\)
\(500\) −9.57426 4.26273i −0.428174 0.190635i
\(501\) −4.43450 + 3.22185i −0.198119 + 0.143942i
\(502\) −2.14586 6.60428i −0.0957744 0.294763i
\(503\) −36.8472 + 7.83211i −1.64293 + 0.349216i −0.934335 0.356396i \(-0.884006\pi\)
−0.708599 + 0.705612i \(0.750672\pi\)
\(504\) 0.667638 6.35216i 0.0297390 0.282947i
\(505\) 12.8233 0.570631
\(506\) −8.01546 4.71625i −0.356330 0.209663i
\(507\) −1.85301 3.20951i −0.0822950 0.142539i
\(508\) 1.06961 0.476221i 0.0474563 0.0211289i
\(509\) 11.7996 2.50807i 0.523006 0.111168i 0.0611594 0.998128i \(-0.480520\pi\)
0.461847 + 0.886960i \(0.347187\pi\)
\(510\) 1.57647 + 0.335088i 0.0698071 + 0.0148380i
\(511\) −4.31595 41.0636i −0.190927 1.81654i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) 18.6910 3.50151i 0.825230 0.154595i
\(514\) 2.08499 6.41694i 0.0919650 0.283039i
\(515\) 2.22471 0.990503i 0.0980322 0.0436468i
\(516\) 4.78598 8.28956i 0.210691 0.364928i
\(517\) 38.8483 12.2694i 1.70855 0.539609i
\(518\) −9.48479 + 16.4281i −0.416738 + 0.721811i
\(519\) 2.05224 19.5257i 0.0900832 0.857085i
\(520\) −1.11315 + 3.42592i −0.0488148 + 0.150236i
\(521\) −7.45229 22.9358i −0.326491 1.00484i −0.970763 0.240040i \(-0.922840\pi\)
0.644272 0.764796i \(-0.277160\pi\)
\(522\) 9.75401 + 4.34277i 0.426922 + 0.190078i
\(523\) −11.2864 5.02504i −0.493521 0.219730i 0.144857 0.989453i \(-0.453728\pi\)
−0.638378 + 0.769723i \(0.720394\pi\)
\(524\) 1.39395 + 4.29013i 0.0608949 + 0.187415i
\(525\) 2.40470 7.40091i 0.104950 0.323002i
\(526\) 2.25466 21.4517i 0.0983080 0.935338i
\(527\) 2.71022 4.69423i 0.118059 0.204484i
\(528\) −1.61367 + 2.18295i −0.0702259 + 0.0950007i
\(529\) 7.56861 13.1092i 0.329070 0.569966i
\(530\) 5.82107 2.59171i 0.252851 0.112577i
\(531\) 8.64178 26.5967i 0.375022 1.15420i
\(532\) −7.77746 9.07073i −0.337196 0.393266i
\(533\) −5.75747 + 4.18305i −0.249384 + 0.181188i
\(534\) 0.977928 + 9.30436i 0.0423191 + 0.402639i
\(535\) 10.5753 + 2.24786i 0.457212 + 0.0971833i
\(536\) 10.3511 2.20020i 0.447101 0.0950343i
\(537\) −0.420336 + 0.187146i −0.0181388 + 0.00807594i
\(538\) −14.7430 25.5357i −0.635618 1.10092i
\(539\) −1.27637 + 1.13034i −0.0549772 + 0.0486870i
\(540\) 5.39909 0.232340
\(541\) −1.36299 + 12.9680i −0.0585995 + 0.557537i 0.925353 + 0.379107i \(0.123769\pi\)
−0.983952 + 0.178431i \(0.942898\pi\)
\(542\) −17.9227 + 3.80958i −0.769845 + 0.163636i
\(543\) 6.03904 + 18.5862i 0.259160 + 0.797612i
\(544\) −1.28721 + 0.935215i −0.0551888 + 0.0400970i
\(545\) 4.88391 + 2.17445i 0.209204 + 0.0931434i
\(546\) −6.38780 1.35777i −0.273373 0.0581072i
\(547\) 21.7781 4.62908i 0.931166 0.197925i 0.282734 0.959198i \(-0.408759\pi\)
0.648431 + 0.761273i \(0.275425\pi\)
\(548\) 2.96270 1.31908i 0.126560 0.0563482i
\(549\) 1.37476 2.38116i 0.0586734 0.101625i
\(550\) 8.61182 7.62651i 0.367209 0.325195i
\(551\) 18.4386 7.67924i 0.785510 0.327147i
\(552\) 1.85678 + 1.34903i 0.0790296 + 0.0574184i
\(553\) −11.0805 12.3061i −0.471190 0.523309i
\(554\) −2.61741 0.556347i −0.111203 0.0236369i
\(555\) −6.40381 2.85116i −0.271827 0.121025i
\(556\) 0.485273 + 4.61706i 0.0205802 + 0.195807i
\(557\) 30.4892 33.8617i 1.29187 1.43477i 0.451965 0.892036i \(-0.350723\pi\)
0.839906 0.542732i \(-0.182610\pi\)
\(558\) 2.45297 7.54948i 0.103843 0.319595i
\(559\) 27.5386 + 20.0079i 1.16476 + 0.846246i
\(560\) −1.69622 2.93793i −0.0716782 0.124150i
\(561\) −2.56748 + 3.47325i −0.108399 + 0.146641i
\(562\) −19.9160 −0.840107
\(563\) −5.97298 4.33962i −0.251731 0.182893i 0.454763 0.890613i \(-0.349724\pi\)
−0.706494 + 0.707719i \(0.749724\pi\)
\(564\) −9.83422 + 2.09033i −0.414096 + 0.0880187i
\(565\) 2.70802 + 0.575608i 0.113927 + 0.0242160i
\(566\) −16.5880 7.38544i −0.697244 0.310433i
\(567\) −0.979782 9.32200i −0.0411470 0.391487i
\(568\) 4.88159 + 1.03761i 0.204827 + 0.0435373i
\(569\) −4.99093 + 15.3605i −0.209231 + 0.643946i 0.790282 + 0.612743i \(0.209934\pi\)
−0.999513 + 0.0312031i \(0.990066\pi\)
\(570\) 3.03314 3.20864i 0.127044 0.134395i
\(571\) −29.0218 −1.21453 −0.607263 0.794501i \(-0.707733\pi\)
−0.607263 + 0.794501i \(0.707733\pi\)
\(572\) −7.12058 6.51849i −0.297727 0.272552i
\(573\) 7.20724 12.4833i 0.301087 0.521497i
\(574\) 0.700567 6.66545i 0.0292411 0.278210i
\(575\) −6.50769 7.22752i −0.271389 0.301409i
\(576\) −1.55912 + 1.73158i −0.0649635 + 0.0721492i
\(577\) 10.7315 7.79689i 0.446758 0.324589i −0.341557 0.939861i \(-0.610954\pi\)
0.788314 + 0.615273i \(0.210954\pi\)
\(578\) 11.7052 8.50434i 0.486873 0.353734i
\(579\) −6.60050 + 7.33060i −0.274308 + 0.304649i
\(580\) 5.54705 1.17906i 0.230329 0.0489579i
\(581\) 16.2091 + 11.7766i 0.672468 + 0.488577i
\(582\) 11.9757 0.496408
\(583\) −0.140775 + 17.0758i −0.00583031 + 0.707206i
\(584\) −7.53139 + 13.0447i −0.311651 + 0.539795i
\(585\) −0.877353 + 8.34746i −0.0362741 + 0.345125i
\(586\) 8.09832 + 8.99410i 0.334539 + 0.371543i
\(587\) −4.14633 0.881329i −0.171137 0.0363763i 0.121546 0.992586i \(-0.461215\pi\)
−0.292683 + 0.956209i \(0.594548\pi\)
\(588\) 0.340394 0.247310i 0.0140376 0.0101989i
\(589\) −7.11084 13.0365i −0.292997 0.537159i
\(590\) −4.58995 14.1264i −0.188965 0.581575i
\(591\) −3.61517 4.01505i −0.148708 0.165157i
\(592\) 6.32195 2.81471i 0.259830 0.115684i
\(593\) −3.51541 6.08887i −0.144361 0.250040i 0.784774 0.619782i \(-0.212779\pi\)
−0.929134 + 0.369743i \(0.879446\pi\)
\(594\) −5.99391 + 13.1693i −0.245933 + 0.540342i
\(595\) −2.69882 4.67450i −0.110641 0.191636i
\(596\) −3.37083 2.44905i −0.138075 0.100317i
\(597\) −4.74422 + 14.6012i −0.194168 + 0.597587i
\(598\) −5.46129 + 6.06538i −0.223329 + 0.248032i
\(599\) 18.0304 + 8.02764i 0.736701 + 0.328000i 0.740558 0.671992i \(-0.234561\pi\)
−0.00385730 + 0.999993i \(0.501228\pi\)
\(600\) −2.29667 + 1.66863i −0.0937613 + 0.0681216i
\(601\) 0.383383 + 1.17993i 0.0156385 + 0.0481304i 0.958571 0.284853i \(-0.0919447\pi\)
−0.942933 + 0.332983i \(0.891945\pi\)
\(602\) −31.3566 + 6.66505i −1.27800 + 0.271647i
\(603\) 22.5260 10.0292i 0.917328 0.408421i
\(604\) −9.97586 17.2787i −0.405912 0.703060i
\(605\) −3.99274 13.0147i −0.162328 0.529123i
\(606\) 4.24044 7.34466i 0.172256 0.298356i
\(607\) 14.5683 + 10.5845i 0.591310 + 0.429612i 0.842784 0.538252i \(-0.180915\pi\)
−0.251474 + 0.967864i \(0.580915\pi\)
\(608\) 0.350381 + 4.34479i 0.0142098 + 0.176205i
\(609\) 3.17700 + 9.77779i 0.128738 + 0.396216i
\(610\) −0.152650 1.45237i −0.00618061 0.0588046i
\(611\) −3.73726 35.5576i −0.151193 1.43851i
\(612\) −2.48069 + 2.75509i −0.100276 + 0.111368i
\(613\) 7.06740 + 7.84914i 0.285450 + 0.317024i 0.868768 0.495220i \(-0.164913\pi\)
−0.583318 + 0.812244i \(0.698246\pi\)
\(614\) −2.50713 + 23.8537i −0.101179 + 0.962657i
\(615\) 2.47666 0.0998684
\(616\) 9.04918 0.875746i 0.364602 0.0352848i
\(617\) −17.1551 29.7135i −0.690638 1.19622i −0.971629 0.236509i \(-0.923997\pi\)
0.280992 0.959710i \(-0.409337\pi\)
\(618\) 0.168351 1.60176i 0.00677208 0.0644321i
\(619\) 6.58866 20.2778i 0.264821 0.815034i −0.726914 0.686728i \(-0.759046\pi\)
0.991735 0.128306i \(-0.0409538\pi\)
\(620\) −1.30286 4.00979i −0.0523241 0.161037i
\(621\) 11.1755 + 4.97563i 0.448455 + 0.199665i
\(622\) −2.49898 23.7762i −0.100200 0.953338i
\(623\) 20.9656 23.2846i 0.839968 0.932879i
\(624\) 1.59412 + 1.77045i 0.0638159 + 0.0708747i
\(625\) 3.99373 1.77812i 0.159749 0.0711249i
\(626\) 8.71454 0.348303
\(627\) 4.45909 + 10.9604i 0.178079 + 0.437718i
\(628\) 0.638809 0.0254913
\(629\) 10.0587 4.47844i 0.401068 0.178567i
\(630\) −5.28922 5.87427i −0.210728 0.234037i
\(631\) −4.55441 + 5.05818i −0.181308 + 0.201363i −0.826947 0.562280i \(-0.809924\pi\)
0.645639 + 0.763643i \(0.276591\pi\)
\(632\) 0.631459 + 6.00793i 0.0251181 + 0.238983i
\(633\) −7.86079 3.49985i −0.312439 0.139107i
\(634\) 4.16098 + 12.8062i 0.165254 + 0.508598i
\(635\) 0.447766 1.37808i 0.0177691 0.0546876i
\(636\) 0.440501 4.19109i 0.0174670 0.166187i
\(637\) 0.748129 + 1.29580i 0.0296419 + 0.0513413i
\(638\) −3.28224 + 14.8391i −0.129945 + 0.587486i
\(639\) 11.6286 0.460019
\(640\) −0.129363 + 1.23080i −0.00511350 + 0.0486517i
\(641\) −19.6933 21.8716i −0.777837 0.863876i 0.215808 0.976436i \(-0.430762\pi\)
−0.993645 + 0.112560i \(0.964095\pi\)
\(642\) 4.78454 5.31377i 0.188831 0.209718i
\(643\) 0.312686 + 2.97501i 0.0123311 + 0.117323i 0.998956 0.0456851i \(-0.0145471\pi\)
−0.986625 + 0.163008i \(0.947880\pi\)
\(644\) −0.803452 7.64433i −0.0316604 0.301229i
\(645\) −3.66064 11.2663i −0.144138 0.443610i
\(646\) 0.557485 + 6.91293i 0.0219340 + 0.271985i
\(647\) −25.7085 18.6783i −1.01071 0.734321i −0.0463492 0.998925i \(-0.514759\pi\)
−0.964357 + 0.264604i \(0.914759\pi\)
\(648\) −1.70973 + 2.96134i −0.0671645 + 0.116332i
\(649\) 39.5522 + 4.48707i 1.55256 + 0.176133i
\(650\) −5.04771 8.74289i −0.197987 0.342924i
\(651\) 6.98268 3.10889i 0.273673 0.121847i
\(652\) −23.1436 + 4.91933i −0.906375 + 0.192656i
\(653\) −10.6718 32.8444i −0.417619 1.28530i −0.909887 0.414856i \(-0.863832\pi\)
0.492268 0.870444i \(-0.336168\pi\)
\(654\) 2.86045 2.07824i 0.111852 0.0812656i
\(655\) 5.09998 + 2.27066i 0.199273 + 0.0887219i
\(656\) −1.63602 + 1.81698i −0.0638759 + 0.0709413i
\(657\) −10.8457 + 33.3796i −0.423130 + 1.30226i
\(658\) 27.2406 + 19.7915i 1.06195 + 0.771552i
\(659\) −8.10524 14.0387i −0.315735 0.546869i 0.663858 0.747858i \(-0.268918\pi\)
−0.979593 + 0.200989i \(0.935584\pi\)
\(660\) 0.671380 + 3.29181i 0.0261334 + 0.128133i
\(661\) −13.1324 22.7459i −0.510790 0.884714i −0.999922 0.0125040i \(-0.996020\pi\)
0.489132 0.872210i \(-0.337314\pi\)
\(662\) −9.87444 + 4.39638i −0.383781 + 0.170870i
\(663\) 2.53638 + 2.81693i 0.0985047 + 0.109401i
\(664\) −2.25864 6.95139i −0.0876523 0.269766i
\(665\) −14.7829 0.358556i −0.573257 0.0139042i
\(666\) 13.0451 9.47783i 0.505488 0.367258i
\(667\) 12.5683 + 2.67147i 0.486646 + 0.103440i
\(668\) −4.48110 4.97676i −0.173379 0.192557i
\(669\) 2.31651 22.0401i 0.0895615 0.852120i
\(670\) 6.54829 11.3420i 0.252982 0.438179i
\(671\) 3.71202 + 1.24003i 0.143301 + 0.0478710i
\(672\) −2.24363 −0.0865498
\(673\) −28.1119 20.4245i −1.08363 0.787305i −0.105320 0.994438i \(-0.533587\pi\)
−0.978313 + 0.207133i \(0.933587\pi\)
\(674\) 1.12219 0.238530i 0.0432253 0.00918783i
\(675\) −10.1248 + 11.2447i −0.389703 + 0.432809i
\(676\) 3.66312 2.66141i 0.140889 0.102362i
\(677\) 4.13816 3.00655i 0.159042 0.115551i −0.505418 0.862875i \(-0.668662\pi\)
0.664460 + 0.747324i \(0.268662\pi\)
\(678\) 1.22518 1.36070i 0.0470526 0.0522572i
\(679\) −26.8370 29.8056i −1.02991 1.14383i
\(680\) −0.205827 + 1.95831i −0.00789309 + 0.0750977i
\(681\) −1.97933 + 3.42830i −0.0758481 + 0.131373i
\(682\) 11.2269 + 1.27366i 0.429901 + 0.0487708i
\(683\) −24.7947 −0.948741 −0.474371 0.880325i \(-0.657324\pi\)
−0.474371 + 0.880325i \(0.657324\pi\)
\(684\) 2.90341 + 9.73272i 0.111014 + 0.372140i
\(685\) 1.24026 3.81713i 0.0473880 0.145845i
\(686\) 17.3906 + 3.69649i 0.663977 + 0.141133i
\(687\) −0.369580 3.51632i −0.0141003 0.134156i
\(688\) 10.6836 + 4.75664i 0.407308 + 0.181345i
\(689\) 14.6588 + 3.11583i 0.558457 + 0.118704i
\(690\) 2.77831 0.590547i 0.105768 0.0224818i
\(691\) 4.11960 + 2.99306i 0.156717 + 0.113861i 0.663380 0.748283i \(-0.269121\pi\)
−0.506663 + 0.862144i \(0.669121\pi\)
\(692\) 23.9872 0.911856
\(693\) 20.2002 6.37983i 0.767344 0.242350i
\(694\) 17.3607 + 30.0696i 0.659004 + 1.14143i
\(695\) 4.64818 + 3.37710i 0.176316 + 0.128101i
\(696\) 1.15899 3.56700i 0.0439314 0.135207i
\(697\) −2.60304 + 2.89097i −0.0985973 + 0.109503i
\(698\) −2.28164 21.7083i −0.0863612 0.821672i
\(699\) −12.9846 5.78111i −0.491122 0.218662i
\(700\) 9.29971 + 1.97672i 0.351496 + 0.0747128i
\(701\) 32.9652 + 36.6115i 1.24508 + 1.38280i 0.894993 + 0.446080i \(0.147180\pi\)
0.350084 + 0.936718i \(0.386153\pi\)
\(702\) 10.2731 + 7.46383i 0.387733 + 0.281704i
\(703\) 3.87954 29.9141i 0.146320 1.12823i
\(704\) −2.85851 1.68193i −0.107734 0.0633903i
\(705\) −6.22128 + 10.7756i −0.234307 + 0.405832i
\(706\) 0.880577 0.392058i 0.0331409 0.0147553i
\(707\) −27.7823 + 5.90532i −1.04486 + 0.222092i
\(708\) −9.60881 2.04242i −0.361121 0.0767587i
\(709\) 33.3353 + 14.8418i 1.25193 + 0.557397i 0.922213 0.386682i \(-0.126379\pi\)
0.329720 + 0.944079i \(0.393046\pi\)
\(710\) 4.99676 3.63036i 0.187525 0.136245i
\(711\) 4.34973 + 13.3871i 0.163128 + 0.502055i
\(712\) −11.1805 + 2.37650i −0.419009 + 0.0890630i
\(713\) 0.998536 9.50043i 0.0373955 0.355794i
\(714\) −3.56980 −0.133596
\(715\) −11.8917 + 1.15083i −0.444723 + 0.0430386i
\(716\) −0.281075 0.486837i −0.0105043 0.0181940i
\(717\) 9.52744 4.24189i 0.355809 0.158416i
\(718\) 0.454674 0.0966440i 0.0169683 0.00360672i
\(719\) 29.1071 + 6.18690i 1.08551 + 0.230732i 0.715723 0.698384i \(-0.246097\pi\)
0.369787 + 0.929117i \(0.379431\pi\)
\(720\) 0.301424 + 2.86786i 0.0112334 + 0.106879i
\(721\) −4.36378 + 3.17047i −0.162516 + 0.118075i
\(722\) 16.9623 + 8.56041i 0.631271 + 0.318586i
\(723\) −0.165922 + 0.510654i −0.00617069 + 0.0189914i
\(724\) −21.8123 + 9.71147i −0.810648 + 0.360924i
\(725\) −7.94660 + 13.7639i −0.295129 + 0.511179i
\(726\) −8.77459 2.01685i −0.325656 0.0748525i
\(727\) −15.6856 + 27.1683i −0.581748 + 1.00762i 0.413525 + 0.910493i \(0.364298\pi\)
−0.995272 + 0.0971235i \(0.969036\pi\)
\(728\) 0.834004 7.93502i 0.0309102 0.294091i
\(729\) 0.848154 2.61035i 0.0314131 0.0966797i
\(730\) 5.76052 + 17.7290i 0.213206 + 0.656181i
\(731\) 16.9985 + 7.56822i 0.628712 + 0.279921i
\(732\) −0.882331 0.392839i −0.0326119 0.0145197i
\(733\) −0.941378 2.89726i −0.0347706 0.107013i 0.932165 0.362034i \(-0.117918\pi\)
−0.966935 + 0.255021i \(0.917918\pi\)
\(734\) −1.96688 + 6.05343i −0.0725988 + 0.223436i
\(735\) 0.0544292 0.517860i 0.00200765 0.0191015i
\(736\) −1.40203 + 2.42839i −0.0516796 + 0.0895117i
\(737\) 20.3952 + 28.5638i 0.751267 + 1.05216i
\(738\) −2.84851 + 4.93376i −0.104855 + 0.181614i
\(739\) −18.3220 + 8.15750i −0.673987 + 0.300078i −0.715045 0.699078i \(-0.753594\pi\)
0.0410580 + 0.999157i \(0.486927\pi\)
\(740\) 2.64653 8.14519i 0.0972884 0.299423i
\(741\) 10.2070 1.91213i 0.374962 0.0702439i
\(742\) −11.4181 + 8.29573i −0.419171 + 0.304546i
\(743\) −2.48762 23.6681i −0.0912618 0.868298i −0.940387 0.340106i \(-0.889537\pi\)
0.849125 0.528192i \(-0.177130\pi\)
\(744\) −2.72746 0.579740i −0.0999937 0.0212543i
\(745\) −5.04380 + 1.07209i −0.184791 + 0.0392784i
\(746\) −3.06350 + 1.36396i −0.112163 + 0.0499380i
\(747\) −8.51539 14.7491i −0.311562 0.539641i
\(748\) −4.54813 2.67610i −0.166296 0.0978478i
\(749\) −23.9471 −0.875008
\(750\) −0.896650 + 8.53106i −0.0327410 + 0.311510i
\(751\) 28.2747 6.00998i 1.03176 0.219307i 0.339235 0.940702i \(-0.389832\pi\)
0.692525 + 0.721394i \(0.256498\pi\)
\(752\) −3.79581 11.6823i −0.138419 0.426010i
\(753\) −4.59822 + 3.34081i −0.167569 + 0.121746i
\(754\) 12.1846 + 5.42492i 0.443736 + 0.197564i
\(755\) −24.1523 5.13373i −0.878993 0.186836i
\(756\) −11.6974 + 2.48635i −0.425429 + 0.0904278i
\(757\) 21.1419 9.41299i 0.768416 0.342121i 0.0151920 0.999885i \(-0.495164\pi\)
0.753224 + 0.657764i \(0.228497\pi\)
\(758\) −17.4810 + 30.2780i −0.634938 + 1.09974i
\(759\) −1.64395 + 7.43235i −0.0596715 + 0.269777i
\(760\) 4.28607 + 3.27570i 0.155472 + 0.118822i
\(761\) 9.20331 + 6.68659i 0.333620 + 0.242389i 0.741965 0.670439i \(-0.233894\pi\)
−0.408345 + 0.912828i \(0.633894\pi\)
\(762\) −0.641239 0.712168i −0.0232296 0.0257991i
\(763\) −11.5826 2.46195i −0.419317 0.0891286i
\(764\) 16.0885 + 7.16306i 0.582061 + 0.259150i
\(765\) 0.479591 + 4.56300i 0.0173396 + 0.164976i
\(766\) 5.86463 6.51333i 0.211898 0.235336i
\(767\) 10.7952 33.2242i 0.389792 1.19966i
\(768\) 0.662173 + 0.481097i 0.0238941 + 0.0173601i
\(769\) −6.49724 11.2536i −0.234297 0.405814i 0.724771 0.688989i \(-0.241945\pi\)
−0.959068 + 0.283176i \(0.908612\pi\)
\(770\) 6.68824 9.04777i 0.241027 0.326059i
\(771\) −5.52250 −0.198888
\(772\) −9.75012 7.08388i −0.350915 0.254954i
\(773\) −40.8520 + 8.68336i −1.46934 + 0.312319i −0.871936 0.489619i \(-0.837136\pi\)
−0.597407 + 0.801938i \(0.703802\pi\)
\(774\) 26.6539 + 5.66547i 0.958056 + 0.203641i
\(775\) 10.7944 + 4.80598i 0.387747 + 0.172636i
\(776\) 1.52940 + 14.5513i 0.0549023 + 0.522360i
\(777\) 15.1871 + 3.22813i 0.544835 + 0.115808i
\(778\) 0.387491 1.19257i 0.0138922 0.0427558i
\(779\) 3.04660 + 10.2127i 0.109156 + 0.365910i
\(780\) 2.94838 0.105569
\(781\) 3.30779 + 16.2182i 0.118362 + 0.580334i
\(782\) −2.23075 + 3.86377i −0.0797715 + 0.138168i
\(783\) 2.08961 19.8813i 0.0746765 0.710500i
\(784\) 0.343970 + 0.382018i 0.0122847 + 0.0136435i
\(785\) 0.529001 0.587515i 0.0188808 0.0209693i
\(786\) 2.98700 2.17018i 0.106543 0.0774079i
\(787\) −42.8437 + 31.1278i −1.52721 + 1.10959i −0.569450 + 0.822026i \(0.692844\pi\)
−0.957763 + 0.287560i \(0.907156\pi\)
\(788\) 4.41687 4.90544i 0.157345 0.174749i
\(789\) −17.2689 + 3.67062i −0.614790 + 0.130678i
\(790\) 6.04842 + 4.39444i 0.215193 + 0.156347i
\(791\) −6.13213 −0.218033
\(792\) −7.32981 2.44859i −0.260453 0.0870067i
\(793\) 1.71733 2.97450i 0.0609842 0.105628i
\(794\) −1.05255 + 10.0143i −0.0373535 + 0.355394i
\(795\) −3.48978 3.87579i −0.123770 0.137460i
\(796\) −18.3473 3.89985i −0.650304 0.138226i
\(797\) 12.6029 9.15653i 0.446417 0.324341i −0.341763 0.939786i \(-0.611024\pi\)
0.788179 + 0.615446i \(0.211024\pi\)
\(798\) −5.09380 + 8.34845i −0.180319 + 0.295532i
\(799\) −6.03945 18.5875i −0.213660 0.657579i
\(800\) −2.32081 2.57752i −0.0820529 0.0911290i
\(801\) −24.3309 + 10.8328i −0.859690 + 0.382759i
\(802\) 2.60691 + 4.51531i 0.0920533 + 0.159441i
\(803\) −49.6392 5.63140i −1.75173 0.198728i
\(804\) −4.33079 7.50115i −0.152735 0.264545i
\(805\) −7.69586 5.59137i −0.271243 0.197070i
\(806\) 3.06422 9.43069i 0.107932 0.332182i
\(807\) −16.1489 + 17.9351i −0.568467 + 0.631346i
\(808\) 9.46580 + 4.21445i 0.333006 + 0.148264i
\(809\) 34.8064 25.2884i 1.22373 0.889092i 0.227325 0.973819i \(-0.427002\pi\)
0.996404 + 0.0847273i \(0.0270019\pi\)
\(810\) 1.30772 + 4.02474i 0.0459485 + 0.141415i
\(811\) −25.4409 + 5.40763i −0.893351 + 0.189888i −0.631643 0.775259i \(-0.717619\pi\)
−0.261708 + 0.965147i \(0.584286\pi\)
\(812\) −11.4750 + 5.10898i −0.402692 + 0.179290i
\(813\) 7.49864 + 12.9880i 0.262989 + 0.455510i
\(814\) 16.9293 + 15.4978i 0.593373 + 0.543199i
\(815\) −14.6410 + 25.3590i −0.512853 + 0.888287i
\(816\) 1.05357 + 0.765465i 0.0368824 + 0.0267966i
\(817\) 41.9547 28.9540i 1.46781 1.01297i
\(818\) 3.59723 + 11.0711i 0.125774 + 0.387093i
\(819\) −1.94329 18.4892i −0.0679041 0.646064i
\(820\) 0.316291 + 3.00931i 0.0110454 + 0.105089i
\(821\) 4.20502 4.67015i 0.146756 0.162989i −0.665285 0.746590i \(-0.731690\pi\)
0.812041 + 0.583600i \(0.198357\pi\)
\(822\) −1.77616 1.97262i −0.0619506 0.0688031i
\(823\) −3.19122 + 30.3624i −0.111239 + 1.05837i 0.786424 + 0.617687i \(0.211930\pi\)
−0.897663 + 0.440682i \(0.854737\pi\)
\(824\) 1.96774 0.0685496
\(825\) −8.11487 4.77475i −0.282524 0.166236i
\(826\) 16.4497 + 28.4918i 0.572359 + 0.991355i
\(827\) 3.99452 38.0054i 0.138903 1.32158i −0.673807 0.738907i \(-0.735342\pi\)
0.812710 0.582668i \(-0.197991\pi\)
\(828\) −2.01902 + 6.21390i −0.0701657 + 0.215948i
\(829\) −0.478555 1.47284i −0.0166209 0.0511539i 0.942402 0.334482i \(-0.108561\pi\)
−0.959023 + 0.283328i \(0.908561\pi\)
\(830\) −8.26360 3.67919i −0.286834 0.127707i
\(831\) 0.228937 + 2.17819i 0.00794173 + 0.0755605i
\(832\) −1.94763 + 2.16307i −0.0675220 + 0.0749908i
\(833\) 0.547285 + 0.607822i 0.0189623 + 0.0210598i
\(834\) 3.47133 1.54553i 0.120202 0.0535175i
\(835\) −8.28796 −0.286817
\(836\) −12.7482 + 6.81785i −0.440906 + 0.235800i
\(837\) −14.8624 −0.513718
\(838\) −13.6636 + 6.08344i −0.472002 + 0.210149i
\(839\) −22.6096 25.1105i −0.780571 0.866912i 0.213354 0.976975i \(-0.431561\pi\)
−0.993925 + 0.110063i \(0.964895\pi\)
\(840\) −1.85796 + 2.06347i −0.0641056 + 0.0711965i
\(841\) 0.836490 + 7.95867i 0.0288445 + 0.274437i
\(842\) −26.2375 11.6817i −0.904204 0.402577i
\(843\) 5.03731 + 15.5032i 0.173494 + 0.533960i
\(844\) 3.24867 9.99836i 0.111824 0.344158i
\(845\) 0.585737 5.57291i 0.0201500 0.191714i
\(846\) −14.3107 24.7869i −0.492013 0.852191i
\(847\) 14.6439 + 26.3582i 0.503170 + 0.905680i
\(848\) 5.14871 0.176808
\(849\) −1.55350 + 14.7806i −0.0533160 + 0.507268i
\(850\) −3.69260 4.10104i −0.126655 0.140665i
\(851\) 12.9843 14.4206i 0.445097 0.494330i
\(852\) −0.426978 4.06242i −0.0146280 0.139176i
\(853\) −1.06058 10.0907i −0.0363135 0.345500i −0.997560 0.0698104i \(-0.977761\pi\)
0.961247 0.275689i \(-0.0889061\pi\)
\(854\) 0.999556 + 3.07632i 0.0342041 + 0.105269i
\(855\) 11.3555 + 5.38943i 0.388351 + 0.184315i
\(856\) 7.06762 + 5.13493i 0.241566 + 0.175508i
\(857\) −4.11937 + 7.13497i −0.140715 + 0.243726i −0.927766 0.373162i \(-0.878274\pi\)
0.787051 + 0.616888i \(0.211607\pi\)
\(858\) −3.27320 + 7.19159i −0.111745 + 0.245517i
\(859\) 11.5066 + 19.9299i 0.392599 + 0.680001i 0.992791 0.119855i \(-0.0382429\pi\)
−0.600193 + 0.799855i \(0.704910\pi\)
\(860\) 13.2218 5.88674i 0.450861 0.200736i
\(861\) −5.36578 + 1.14053i −0.182865 + 0.0388692i
\(862\) 4.61479 + 14.2029i 0.157180 + 0.483752i
\(863\) −9.81927 + 7.13412i −0.334252 + 0.242848i −0.742233 0.670142i \(-0.766233\pi\)
0.407981 + 0.912991i \(0.366233\pi\)
\(864\) 3.98545 + 1.77444i 0.135588 + 0.0603675i
\(865\) 19.8639 22.0611i 0.675392 0.750099i
\(866\) −5.62704 + 17.3182i −0.191215 + 0.588498i
\(867\) −9.58062 6.96073i −0.325375 0.236399i
\(868\) 4.66926 + 8.08740i 0.158485 + 0.274504i
\(869\) −17.4335 + 9.87452i −0.591391 + 0.334970i
\(870\) −2.32082 4.01978i −0.0786832 0.136283i
\(871\) 28.1391 12.5283i 0.953457 0.424507i
\(872\) 2.89051 + 3.21023i 0.0978849 + 0.108712i
\(873\) 10.5351 + 32.4237i 0.356559 + 1.09738i
\(874\) 5.85286 + 10.7302i 0.197976 + 0.362954i
\(875\) 23.2418 16.8862i 0.785716 0.570856i
\(876\) 12.0593 + 2.56329i 0.407447 + 0.0866055i
\(877\) 4.70914 + 5.23003i 0.159016 + 0.176606i 0.817388 0.576087i \(-0.195421\pi\)
−0.658372 + 0.752693i \(0.728754\pi\)
\(878\) −0.00568573 + 0.0540961i −0.000191884 + 0.00182566i
\(879\) 4.95299 8.57884i 0.167060 0.289357i
\(880\) −3.91403 + 1.23617i −0.131942 + 0.0416711i
\(881\) −3.97514 −0.133926 −0.0669630 0.997755i \(-0.521331\pi\)
−0.0669630 + 0.997755i \(0.521331\pi\)
\(882\) 0.969030 + 0.704041i 0.0326289 + 0.0237063i
\(883\) 13.6732 2.90632i 0.460139 0.0978055i 0.0279907 0.999608i \(-0.491089\pi\)
0.432148 + 0.901803i \(0.357756\pi\)
\(884\) −3.09885 + 3.44162i −0.104225 + 0.115754i
\(885\) −9.83551 + 7.14592i −0.330617 + 0.240207i
\(886\) 19.7190 14.3267i 0.662474 0.481315i
\(887\) −0.801386 + 0.890029i −0.0269079 + 0.0298843i −0.756449 0.654053i \(-0.773067\pi\)
0.729541 + 0.683937i \(0.239734\pi\)
\(888\) −3.79005 4.20928i −0.127186 0.141254i
\(889\) −0.335480 + 3.19188i −0.0112516 + 0.107052i
\(890\) −7.07298 + 12.2508i −0.237087 + 0.410647i
\(891\) −11.2688 1.27841i −0.377518 0.0428282i
\(892\) 27.0761 0.906575
\(893\) −52.0872 12.3988i −1.74303 0.414908i
\(894\) −1.05384 + 3.24339i −0.0352457 + 0.108475i
\(895\) −0.680505 0.144646i −0.0227468 0.00483498i
\(896\) −0.286531 2.72616i −0.00957233 0.0910747i
\(897\) 6.10279 + 2.71714i 0.203766 + 0.0907225i
\(898\) −21.7291 4.61866i −0.725109 0.154127i
\(899\) −15.2696 + 3.24566i −0.509271 + 0.108249i
\(900\) −6.53815 4.75025i −0.217938 0.158342i
\(901\) 8.19203 0.272916
\(902\) −7.69132 2.56935i −0.256093 0.0855501i
\(903\) 13.1192 + 22.7232i 0.436581 + 0.756180i
\(904\) 1.80980 + 1.31490i 0.0601932 + 0.0437329i
\(905\) −9.13120 + 28.1030i −0.303531 + 0.934174i
\(906\) −10.9271 + 12.1358i −0.363029 + 0.403184i
\(907\) 3.53188 + 33.6036i 0.117274 + 1.11579i 0.881940 + 0.471361i \(0.156237\pi\)
−0.764666 + 0.644427i \(0.777096\pi\)
\(908\) −4.41840 1.96720i −0.146630 0.0652837i
\(909\) 23.6157 + 5.01967i 0.783284 + 0.166492i
\(910\) −6.60722 7.33806i −0.219027 0.243254i
\(911\) −37.8679 27.5127i −1.25462 0.911536i −0.256140 0.966640i \(-0.582451\pi\)
−0.998481 + 0.0551041i \(0.982451\pi\)
\(912\) 3.29350 1.37167i 0.109059 0.0454204i
\(913\) 18.1481 16.0717i 0.600616 0.531897i
\(914\) −17.3316 + 30.0192i −0.573279 + 0.992948i
\(915\) −1.09196 + 0.486171i −0.0360990 + 0.0160723i
\(916\) 4.22537 0.898129i 0.139610 0.0296750i
\(917\) −12.0950 2.57087i −0.399412 0.0848977i
\(918\) 6.34118 + 2.82327i 0.209290 + 0.0931819i
\(919\) −24.4458 + 17.7609i −0.806391 + 0.585877i −0.912782 0.408447i \(-0.866070\pi\)
0.106391 + 0.994324i \(0.466070\pi\)
\(920\) 1.07237 + 3.30041i 0.0353550 + 0.108811i
\(921\) 19.2026 4.08163i 0.632746 0.134494i
\(922\) 3.05348 29.0519i 0.100561 0.956775i
\(923\) 14.5262 0.478137
\(924\) −2.97049 6.82266i −0.0977221 0.224449i
\(925\) 12.0010 + 20.7864i 0.394591 + 0.683452i
\(926\) 30.6176 13.6318i 1.00616 0.447970i
\(927\) 4.48479 0.953272i 0.147300 0.0313096i
\(928\) 4.48217 + 0.952714i 0.147134 + 0.0312744i
\(929\) 2.83549 + 26.9778i 0.0930293 + 0.885114i 0.937142 + 0.348948i \(0.113461\pi\)
−0.844113 + 0.536166i \(0.819872\pi\)
\(930\) −2.79181 + 2.02837i −0.0915472 + 0.0665129i
\(931\) 2.20240 0.412589i 0.0721808 0.0135221i
\(932\) 5.36620 16.5155i 0.175776 0.540982i
\(933\) −17.8761 + 7.95893i −0.585236 + 0.260564i
\(934\) −4.11663 + 7.13021i −0.134700 + 0.233308i
\(935\) −6.22754 + 1.96684i −0.203662 + 0.0643226i
\(936\) −3.39106 + 5.87349i −0.110840 + 0.191981i
\(937\) −6.15907 + 58.5996i −0.201208 + 1.91437i 0.169349 + 0.985556i \(0.445833\pi\)
−0.370557 + 0.928810i \(0.620833\pi\)
\(938\) −8.96403 + 27.5885i −0.292686 + 0.900795i
\(939\) −2.20415 6.78367i −0.0719296 0.221377i
\(940\) −13.8876 6.18314i −0.452963 0.201672i
\(941\) −8.33174 3.70953i −0.271607 0.120927i 0.266414 0.963859i \(-0.414161\pi\)
−0.538021 + 0.842932i \(0.680828\pi\)
\(942\) −0.161572 0.497269i −0.00526431 0.0162019i
\(943\) −2.11860 + 6.52037i −0.0689910 + 0.212332i
\(944\) 1.25454 11.9362i 0.0408319 0.388490i
\(945\) −7.39994 + 12.8171i −0.240720 + 0.416939i
\(946\) −0.319753 + 38.7855i −0.0103961 + 1.26102i
\(947\) −21.5183 + 37.2707i −0.699249 + 1.21114i 0.269478 + 0.963007i \(0.413149\pi\)
−0.968727 + 0.248129i \(0.920184\pi\)
\(948\) 4.51704 2.01112i 0.146707 0.0653180i
\(949\) −13.5483 + 41.6973i −0.439795 + 1.35355i
\(950\) −14.8599 + 2.78379i −0.482117 + 0.0903180i
\(951\) 8.91629 6.47807i 0.289131 0.210066i
\(952\) −0.455895 4.33755i −0.0147756 0.140581i
\(953\) 7.66905 + 1.63011i 0.248425 + 0.0528044i 0.330441 0.943827i \(-0.392803\pi\)
−0.0820160 + 0.996631i \(0.526136\pi\)
\(954\) 11.7347 2.49429i 0.379926 0.0807557i
\(955\) 19.9108 8.86487i 0.644299 0.286861i
\(956\) 6.37092 + 11.0348i 0.206050 + 0.356890i
\(957\) 12.3814 1.19822i 0.400234 0.0387331i
\(958\) −1.58560 −0.0512284
\(959\) −0.929241 + 8.84114i −0.0300068 + 0.285495i
\(960\) 0.990814 0.210604i 0.0319784 0.00679722i
\(961\) −5.99308 18.4448i −0.193325 0.594994i
\(962\) 16.2958 11.8396i 0.525396 0.381723i
\(963\) 18.5958 + 8.27939i 0.599242 + 0.266800i
\(964\) −0.641669 0.136391i −0.0206668 0.00439286i
\(965\) −14.5892 + 3.10103i −0.469642 + 0.0998256i
\(966\) −5.74737 + 2.55889i −0.184919 + 0.0823311i
\(967\) 21.3700 37.0139i 0.687212 1.19029i −0.285524 0.958371i \(-0.592168\pi\)
0.972736 0.231914i \(-0.0744990\pi\)
\(968\) 1.33002 10.9193i 0.0427485 0.350959i
\(969\) 5.24023 2.18243i 0.168341 0.0701099i
\(970\) 14.6493 + 10.6434i 0.470362 + 0.341738i
\(971\) −23.4194 26.0099i −0.751564 0.834696i 0.239104 0.970994i \(-0.423146\pi\)
−0.990668 + 0.136298i \(0.956480\pi\)
\(972\) 15.5395 + 3.30302i 0.498429 + 0.105944i
\(973\) −11.6257 5.17609i −0.372703 0.165938i
\(974\) 1.92372 + 18.3030i 0.0616399 + 0.586465i
\(975\) −5.52903 + 6.14061i −0.177071 + 0.196657i
\(976\) 0.364645 1.12226i 0.0116720 0.0359227i
\(977\) −12.7459 9.26041i −0.407776 0.296267i 0.364925 0.931037i \(-0.381095\pi\)
−0.772701 + 0.634770i \(0.781095\pi\)
\(978\) 9.68303 + 16.7715i 0.309629 + 0.536293i
\(979\) −22.0294 30.8526i −0.704063 0.986052i
\(980\) 0.636186 0.0203222
\(981\) 8.14311 + 5.91632i 0.259989 + 0.188893i
\(982\) −27.5016 + 5.84564i −0.877610 + 0.186542i
\(983\) 37.5751 + 7.98684i 1.19846 + 0.254741i 0.763559 0.645738i \(-0.223450\pi\)
0.434901 + 0.900478i \(0.356783\pi\)
\(984\) 1.82819 + 0.813963i 0.0582806 + 0.0259482i
\(985\) −0.853911 8.12442i −0.0272079 0.258866i
\(986\) 7.13150 + 1.51585i 0.227113 + 0.0482744i
\(987\) 8.51638 26.2107i 0.271080 0.834297i
\(988\) 3.62689 + 12.1580i 0.115387 + 0.386796i
\(989\) 32.7926 1.04274
\(990\) −8.32182 + 4.71356i −0.264485 + 0.149807i
\(991\) −22.5182 + 39.0027i −0.715315 + 1.23896i 0.247523 + 0.968882i \(0.420383\pi\)
−0.962838 + 0.270080i \(0.912950\pi\)
\(992\) 0.356103 3.38809i 0.0113063 0.107572i
\(993\) 5.91980 + 6.57460i 0.187859 + 0.208639i
\(994\) −9.15388 + 10.1664i −0.290343 + 0.322459i
\(995\) −18.7802 + 13.6446i −0.595372 + 0.432563i
\(996\) −4.83990 + 3.51639i −0.153358 + 0.111421i
\(997\) 25.0884 27.8635i 0.794559 0.882447i −0.200706 0.979652i \(-0.564324\pi\)
0.995264 + 0.0972048i \(0.0309902\pi\)
\(998\) 4.70036 0.999092i 0.148787 0.0316257i
\(999\) −24.4245 17.7454i −0.772756 0.561440i
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 418.2.n.e.125.3 72
11.3 even 5 inner 418.2.n.e.201.7 yes 72
19.7 even 3 inner 418.2.n.e.235.7 yes 72
209.102 even 15 inner 418.2.n.e.311.3 yes 72
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
418.2.n.e.125.3 72 1.1 even 1 trivial
418.2.n.e.201.7 yes 72 11.3 even 5 inner
418.2.n.e.235.7 yes 72 19.7 even 3 inner
418.2.n.e.311.3 yes 72 209.102 even 15 inner