Properties

Label 345.2.m.c.31.4
Level $345$
Weight $2$
Character 345.31
Analytic conductor $2.755$
Analytic rank $0$
Dimension $50$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [345,2,Mod(16,345)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(345, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("345.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 345 = 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 345.m (of order \(11\), 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: \(2.75483886973\)
Analytic rank: \(0\)
Dimension: \(50\)
Relative dimension: \(5\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 31.4
Character \(\chi\) \(=\) 345.31
Dual form 345.2.m.c.256.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0510170 - 0.354831i) q^{2} +(0.415415 + 0.909632i) q^{3} +(1.79568 + 0.527260i) q^{4} +(0.654861 + 0.755750i) q^{5} +(0.343959 - 0.100995i) q^{6} +(2.04891 + 1.31675i) q^{7} +(0.576535 - 1.26244i) q^{8} +(-0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.0510170 - 0.354831i) q^{2} +(0.415415 + 0.909632i) q^{3} +(1.79568 + 0.527260i) q^{4} +(0.654861 + 0.755750i) q^{5} +(0.343959 - 0.100995i) q^{6} +(2.04891 + 1.31675i) q^{7} +(0.576535 - 1.26244i) q^{8} +(-0.654861 + 0.755750i) q^{9} +(0.301573 - 0.193809i) q^{10} +(-0.621667 - 4.32379i) q^{11} +(0.266341 + 1.85244i) q^{12} +(-4.84142 + 3.11139i) q^{13} +(0.571754 - 0.659839i) q^{14} +(-0.415415 + 0.909632i) q^{15} +(2.73026 + 1.75463i) q^{16} +(-0.233763 + 0.0686390i) q^{17} +(0.234755 + 0.270921i) q^{18} +(-2.95092 - 0.866468i) q^{19} +(0.777446 + 1.70237i) q^{20} +(-0.346614 + 2.41075i) q^{21} -1.56593 q^{22} +(4.21667 - 2.28467i) q^{23} +1.38785 q^{24} +(-0.142315 + 0.989821i) q^{25} +(0.857025 + 1.87662i) q^{26} +(-0.959493 - 0.281733i) q^{27} +(2.98492 + 3.44478i) q^{28} +(-2.46954 + 0.725121i) q^{29} +(0.301573 + 0.193809i) q^{30} +(1.55002 - 3.39408i) q^{31} +(2.57959 - 2.97700i) q^{32} +(3.67480 - 2.36165i) q^{33} +(0.0124294 + 0.0864482i) q^{34} +(0.346614 + 2.41075i) q^{35} +(-1.57440 + 1.01180i) q^{36} +(3.05422 - 3.52476i) q^{37} +(-0.457997 + 1.00287i) q^{38} +(-4.84142 - 3.11139i) q^{39} +(1.33163 - 0.391003i) q^{40} +(-3.15111 - 3.63658i) q^{41} +(0.837726 + 0.245979i) q^{42} +(4.06358 + 8.89801i) q^{43} +(1.16344 - 8.09193i) q^{44} -1.00000 q^{45} +(-0.595549 - 1.61276i) q^{46} -5.51766 q^{47} +(-0.461878 + 3.21243i) q^{48} +(-0.443723 - 0.971617i) q^{49} +(0.343959 + 0.100995i) q^{50} +(-0.159545 - 0.184125i) q^{51} +(-10.3342 + 3.03439i) q^{52} +(3.62920 + 2.33235i) q^{53} +(-0.148918 + 0.326085i) q^{54} +(2.86059 - 3.30130i) q^{55} +(2.84358 - 1.82746i) q^{56} +(-0.437689 - 3.04419i) q^{57} +(0.131307 + 0.913262i) q^{58} +(-4.37231 + 2.80992i) q^{59} +(-1.22557 + 1.41438i) q^{60} +(3.89966 - 8.53906i) q^{61} +(-1.12525 - 0.723152i) q^{62} +(-2.33688 + 0.686171i) q^{63} +(3.32593 + 3.83832i) q^{64} +(-5.52189 - 1.62137i) q^{65} +(-0.650511 - 1.42442i) q^{66} +(-0.238258 + 1.65712i) q^{67} -0.455955 q^{68} +(3.82987 + 2.88653i) q^{69} +0.873093 q^{70} +(1.59957 - 11.1252i) q^{71} +(0.576535 + 1.26244i) q^{72} +(-6.71302 - 1.97112i) q^{73} +(-1.09488 - 1.26356i) q^{74} +(-0.959493 + 0.281733i) q^{75} +(-4.84206 - 3.11180i) q^{76} +(4.41962 - 9.67762i) q^{77} +(-1.35102 + 1.55915i) q^{78} +(-5.09051 + 3.27147i) q^{79} +(0.461878 + 3.21243i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-1.45113 + 0.932586i) q^{82} +(-8.27051 + 9.54468i) q^{83} +(-1.89350 + 4.14619i) q^{84} +(-0.204956 - 0.131717i) q^{85} +(3.36460 - 0.987936i) q^{86} +(-1.68548 - 1.94514i) q^{87} +(-5.81691 - 1.70800i) q^{88} +(-5.27655 - 11.5540i) q^{89} +(-0.0510170 + 0.354831i) q^{90} -14.0166 q^{91} +(8.77642 - 1.87926i) q^{92} +3.73126 q^{93} +(-0.281494 + 1.95784i) q^{94} +(-1.27761 - 2.79757i) q^{95} +(3.77958 + 1.10978i) q^{96} +(-9.55448 - 11.0265i) q^{97} +(-0.367398 + 0.107878i) q^{98} +(3.67480 + 2.36165i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 50 q - 5 q^{3} - 4 q^{4} + 5 q^{5} - 11 q^{6} - 3 q^{7} - 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 50 q - 5 q^{3} - 4 q^{4} + 5 q^{5} - 11 q^{6} - 3 q^{7} - 5 q^{9} + 15 q^{11} - 4 q^{12} - 19 q^{13} + 55 q^{14} + 5 q^{15} + 12 q^{16} + 5 q^{17} - 11 q^{19} + 4 q^{20} + 8 q^{21} - 18 q^{22} + 14 q^{23} + 66 q^{24} - 5 q^{25} - 18 q^{26} - 5 q^{27} + 10 q^{28} - 22 q^{29} + 6 q^{31} + 33 q^{32} + 4 q^{33} + 18 q^{34} - 8 q^{35} - 15 q^{36} + 25 q^{37} - 97 q^{38} - 19 q^{39} + 22 q^{40} - 42 q^{41} - 11 q^{42} - 25 q^{43} + 25 q^{44} - 50 q^{45} - 44 q^{46} + 86 q^{47} - 10 q^{48} - 8 q^{49} - 11 q^{50} - 17 q^{51} - 67 q^{52} - 26 q^{53} - 4 q^{55} - 132 q^{56} + 22 q^{57} + 8 q^{58} - 76 q^{59} + 4 q^{60} + 13 q^{61} - 8 q^{62} + 8 q^{63} + 76 q^{64} + 8 q^{65} + 4 q^{66} + 84 q^{67} + 66 q^{68} + 25 q^{69} + 22 q^{70} + 55 q^{71} - 59 q^{73} + 17 q^{74} - 5 q^{75} + 82 q^{76} - 56 q^{77} - 7 q^{78} + 7 q^{79} + 10 q^{80} - 5 q^{81} - 150 q^{82} + 19 q^{83} + 10 q^{84} + 6 q^{85} + 44 q^{86} - 11 q^{87} - 62 q^{88} - 74 q^{89} - 56 q^{91} + 41 q^{92} + 28 q^{93} - 161 q^{94} + 11 q^{95} - 44 q^{96} - 68 q^{97} - 198 q^{98} + 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/345\mathbb{Z}\right)^\times\).

\(n\) \(116\) \(166\) \(277\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{11}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0510170 0.354831i 0.0360745 0.250904i −0.963802 0.266619i \(-0.914093\pi\)
0.999877 + 0.0157154i \(0.00500257\pi\)
\(3\) 0.415415 + 0.909632i 0.239840 + 0.525176i
\(4\) 1.79568 + 0.527260i 0.897842 + 0.263630i
\(5\) 0.654861 + 0.755750i 0.292863 + 0.337981i
\(6\) 0.343959 0.100995i 0.140421 0.0412312i
\(7\) 2.04891 + 1.31675i 0.774414 + 0.497686i 0.867175 0.498003i \(-0.165933\pi\)
−0.0927615 + 0.995688i \(0.529569\pi\)
\(8\) 0.576535 1.26244i 0.203836 0.446338i
\(9\) −0.654861 + 0.755750i −0.218287 + 0.251917i
\(10\) 0.301573 0.193809i 0.0953656 0.0612878i
\(11\) −0.621667 4.32379i −0.187440 1.30367i −0.838607 0.544737i \(-0.816630\pi\)
0.651168 0.758934i \(-0.274279\pi\)
\(12\) 0.266341 + 1.85244i 0.0768861 + 0.534754i
\(13\) −4.84142 + 3.11139i −1.34277 + 0.862946i −0.997151 0.0754295i \(-0.975967\pi\)
−0.345618 + 0.938375i \(0.612331\pi\)
\(14\) 0.571754 0.659839i 0.152808 0.176349i
\(15\) −0.415415 + 0.909632i −0.107260 + 0.234866i
\(16\) 2.73026 + 1.75463i 0.682565 + 0.438658i
\(17\) −0.233763 + 0.0686390i −0.0566959 + 0.0166474i −0.309958 0.950750i \(-0.600315\pi\)
0.253262 + 0.967398i \(0.418497\pi\)
\(18\) 0.234755 + 0.270921i 0.0553322 + 0.0638567i
\(19\) −2.95092 0.866468i −0.676987 0.198781i −0.0748750 0.997193i \(-0.523856\pi\)
−0.602112 + 0.798412i \(0.705674\pi\)
\(20\) 0.777446 + 1.70237i 0.173842 + 0.380661i
\(21\) −0.346614 + 2.41075i −0.0756373 + 0.526069i
\(22\) −1.56593 −0.333857
\(23\) 4.21667 2.28467i 0.879236 0.476386i
\(24\) 1.38785 0.283294
\(25\) −0.142315 + 0.989821i −0.0284630 + 0.197964i
\(26\) 0.857025 + 1.87662i 0.168076 + 0.368036i
\(27\) −0.959493 0.281733i −0.184655 0.0542195i
\(28\) 2.98492 + 3.44478i 0.564096 + 0.651002i
\(29\) −2.46954 + 0.725121i −0.458581 + 0.134652i −0.502861 0.864368i \(-0.667719\pi\)
0.0442792 + 0.999019i \(0.485901\pi\)
\(30\) 0.301573 + 0.193809i 0.0550594 + 0.0353845i
\(31\) 1.55002 3.39408i 0.278392 0.609594i −0.717851 0.696197i \(-0.754874\pi\)
0.996243 + 0.0866031i \(0.0276012\pi\)
\(32\) 2.57959 2.97700i 0.456011 0.526265i
\(33\) 3.67480 2.36165i 0.639701 0.411111i
\(34\) 0.0124294 + 0.0864482i 0.00213162 + 0.0148257i
\(35\) 0.346614 + 2.41075i 0.0585884 + 0.407491i
\(36\) −1.57440 + 1.01180i −0.262400 + 0.168634i
\(37\) 3.05422 3.52476i 0.502111 0.579467i −0.446950 0.894559i \(-0.647490\pi\)
0.949061 + 0.315092i \(0.102035\pi\)
\(38\) −0.457997 + 1.00287i −0.0742969 + 0.162688i
\(39\) −4.84142 3.11139i −0.775248 0.498222i
\(40\) 1.33163 0.391003i 0.210550 0.0618230i
\(41\) −3.15111 3.63658i −0.492121 0.567938i 0.454310 0.890844i \(-0.349886\pi\)
−0.946431 + 0.322906i \(0.895340\pi\)
\(42\) 0.837726 + 0.245979i 0.129264 + 0.0379553i
\(43\) 4.06358 + 8.89801i 0.619691 + 1.35693i 0.915744 + 0.401762i \(0.131602\pi\)
−0.296053 + 0.955171i \(0.595671\pi\)
\(44\) 1.16344 8.09193i 0.175396 1.21990i
\(45\) −1.00000 −0.149071
\(46\) −0.595549 1.61276i −0.0878090 0.237789i
\(47\) −5.51766 −0.804833 −0.402416 0.915457i \(-0.631830\pi\)
−0.402416 + 0.915457i \(0.631830\pi\)
\(48\) −0.461878 + 3.21243i −0.0666664 + 0.463675i
\(49\) −0.443723 0.971617i −0.0633890 0.138802i
\(50\) 0.343959 + 0.100995i 0.0486432 + 0.0142829i
\(51\) −0.159545 0.184125i −0.0223408 0.0257826i
\(52\) −10.3342 + 3.03439i −1.43309 + 0.420794i
\(53\) 3.62920 + 2.33235i 0.498509 + 0.320372i 0.765620 0.643294i \(-0.222433\pi\)
−0.267111 + 0.963666i \(0.586069\pi\)
\(54\) −0.148918 + 0.326085i −0.0202652 + 0.0443745i
\(55\) 2.86059 3.30130i 0.385722 0.445147i
\(56\) 2.84358 1.82746i 0.379989 0.244204i
\(57\) −0.437689 3.04419i −0.0579733 0.403213i
\(58\) 0.131307 + 0.913262i 0.0172415 + 0.119917i
\(59\) −4.37231 + 2.80992i −0.569227 + 0.365820i −0.793373 0.608736i \(-0.791677\pi\)
0.224146 + 0.974555i \(0.428041\pi\)
\(60\) −1.22557 + 1.41438i −0.158220 + 0.182596i
\(61\) 3.89966 8.53906i 0.499300 1.09331i −0.477396 0.878688i \(-0.658419\pi\)
0.976696 0.214627i \(-0.0688535\pi\)
\(62\) −1.12525 0.723152i −0.142906 0.0918404i
\(63\) −2.33688 + 0.686171i −0.294420 + 0.0864494i
\(64\) 3.32593 + 3.83832i 0.415741 + 0.479790i
\(65\) −5.52189 1.62137i −0.684907 0.201107i
\(66\) −0.650511 1.42442i −0.0800723 0.175334i
\(67\) −0.238258 + 1.65712i −0.0291078 + 0.202449i −0.999186 0.0403440i \(-0.987155\pi\)
0.970078 + 0.242793i \(0.0780637\pi\)
\(68\) −0.455955 −0.0552927
\(69\) 3.82987 + 2.88653i 0.461063 + 0.347498i
\(70\) 0.873093 0.104355
\(71\) 1.59957 11.1252i 0.189834 1.32032i −0.642602 0.766201i \(-0.722145\pi\)
0.832435 0.554122i \(-0.186946\pi\)
\(72\) 0.576535 + 1.26244i 0.0679453 + 0.148779i
\(73\) −6.71302 1.97112i −0.785700 0.230702i −0.135814 0.990734i \(-0.543365\pi\)
−0.649886 + 0.760032i \(0.725183\pi\)
\(74\) −1.09488 1.26356i −0.127277 0.146885i
\(75\) −0.959493 + 0.281733i −0.110793 + 0.0325317i
\(76\) −4.84206 3.11180i −0.555422 0.356948i
\(77\) 4.41962 9.67762i 0.503662 1.10287i
\(78\) −1.35102 + 1.55915i −0.152972 + 0.176539i
\(79\) −5.09051 + 3.27147i −0.572727 + 0.368070i −0.794718 0.606979i \(-0.792381\pi\)
0.221990 + 0.975049i \(0.428745\pi\)
\(80\) 0.461878 + 3.21243i 0.0516395 + 0.359161i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) −1.45113 + 0.932586i −0.160251 + 0.102987i
\(83\) −8.27051 + 9.54468i −0.907806 + 1.04766i 0.0908513 + 0.995864i \(0.471041\pi\)
−0.998657 + 0.0517998i \(0.983504\pi\)
\(84\) −1.89350 + 4.14619i −0.206598 + 0.452386i
\(85\) −0.204956 0.131717i −0.0222306 0.0142868i
\(86\) 3.36460 0.987936i 0.362814 0.106532i
\(87\) −1.68548 1.94514i −0.180702 0.208541i
\(88\) −5.81691 1.70800i −0.620085 0.182073i
\(89\) −5.27655 11.5540i −0.559313 1.22472i −0.952295 0.305178i \(-0.901284\pi\)
0.392982 0.919546i \(-0.371443\pi\)
\(90\) −0.0510170 + 0.354831i −0.00537767 + 0.0374025i
\(91\) −14.0166 −1.46934
\(92\) 8.77642 1.87926i 0.915005 0.195926i
\(93\) 3.73126 0.386914
\(94\) −0.281494 + 1.95784i −0.0290339 + 0.201935i
\(95\) −1.27761 2.79757i −0.131080 0.287025i
\(96\) 3.77958 + 1.10978i 0.385752 + 0.113267i
\(97\) −9.55448 11.0265i −0.970110 1.11957i −0.992795 0.119824i \(-0.961767\pi\)
0.0226847 0.999743i \(-0.492779\pi\)
\(98\) −0.367398 + 0.107878i −0.0371128 + 0.0108973i
\(99\) 3.67480 + 2.36165i 0.369332 + 0.237355i
\(100\) −0.777446 + 1.70237i −0.0777446 + 0.170237i
\(101\) −8.29647 + 9.57464i −0.825530 + 0.952712i −0.999487 0.0320414i \(-0.989799\pi\)
0.173957 + 0.984753i \(0.444345\pi\)
\(102\) −0.0734727 + 0.0472180i −0.00727488 + 0.00467528i
\(103\) 2.18165 + 15.1737i 0.214965 + 1.49511i 0.756255 + 0.654277i \(0.227027\pi\)
−0.541290 + 0.840836i \(0.682064\pi\)
\(104\) 1.13668 + 7.90581i 0.111461 + 0.775229i
\(105\) −2.04891 + 1.31675i −0.199953 + 0.128502i
\(106\) 1.01274 1.16876i 0.0983660 0.113520i
\(107\) −0.0648269 + 0.141951i −0.00626705 + 0.0137229i −0.912740 0.408542i \(-0.866037\pi\)
0.906473 + 0.422265i \(0.138765\pi\)
\(108\) −1.57440 1.01180i −0.151497 0.0973610i
\(109\) 14.1102 4.14313i 1.35151 0.396840i 0.475749 0.879581i \(-0.342177\pi\)
0.875763 + 0.482742i \(0.160359\pi\)
\(110\) −1.02547 1.18345i −0.0977743 0.112838i
\(111\) 4.47500 + 1.31398i 0.424748 + 0.124717i
\(112\) 3.28363 + 7.19015i 0.310274 + 0.679406i
\(113\) 0.273897 1.90499i 0.0257660 0.179207i −0.972874 0.231334i \(-0.925691\pi\)
0.998640 + 0.0521272i \(0.0166001\pi\)
\(114\) −1.10250 −0.103259
\(115\) 4.48797 + 1.69061i 0.418505 + 0.157650i
\(116\) −4.81683 −0.447232
\(117\) 0.819024 5.69643i 0.0757188 0.526636i
\(118\) 0.773983 + 1.69479i 0.0712509 + 0.156018i
\(119\) −0.569339 0.167173i −0.0521913 0.0153247i
\(120\) 0.908850 + 1.04887i 0.0829663 + 0.0957482i
\(121\) −7.75423 + 2.27685i −0.704930 + 0.206986i
\(122\) −2.83098 1.81936i −0.256305 0.164717i
\(123\) 1.99893 4.37704i 0.180237 0.394665i
\(124\) 4.57291 5.27742i 0.410660 0.473926i
\(125\) −0.841254 + 0.540641i −0.0752440 + 0.0483564i
\(126\) 0.124254 + 0.864206i 0.0110694 + 0.0769896i
\(127\) −1.45269 10.1037i −0.128905 0.896556i −0.946945 0.321395i \(-0.895848\pi\)
0.818040 0.575161i \(-0.195061\pi\)
\(128\) 8.15927 5.24364i 0.721184 0.463477i
\(129\) −6.40584 + 7.39273i −0.564003 + 0.650894i
\(130\) −0.857025 + 1.87662i −0.0751661 + 0.164591i
\(131\) −4.94200 3.17603i −0.431785 0.277491i 0.306642 0.951825i \(-0.400795\pi\)
−0.738427 + 0.674334i \(0.764431\pi\)
\(132\) 7.84399 2.30320i 0.682732 0.200468i
\(133\) −4.90523 5.66094i −0.425338 0.490866i
\(134\) 0.575843 + 0.169083i 0.0497452 + 0.0146065i
\(135\) −0.415415 0.909632i −0.0357532 0.0782887i
\(136\) −0.0481202 + 0.334684i −0.00412628 + 0.0286989i
\(137\) 10.2776 0.878074 0.439037 0.898469i \(-0.355320\pi\)
0.439037 + 0.898469i \(0.355320\pi\)
\(138\) 1.21962 1.21170i 0.103821 0.103146i
\(139\) 19.8111 1.68036 0.840180 0.542308i \(-0.182450\pi\)
0.840180 + 0.542308i \(0.182450\pi\)
\(140\) −0.648684 + 4.51170i −0.0548238 + 0.381308i
\(141\) −2.29212 5.01904i −0.193031 0.422679i
\(142\) −3.86598 1.13515i −0.324426 0.0952599i
\(143\) 16.4628 + 18.9990i 1.37668 + 1.58878i
\(144\) −3.11400 + 0.914354i −0.259500 + 0.0761961i
\(145\) −2.16521 1.39150i −0.179811 0.115558i
\(146\) −1.04189 + 2.28143i −0.0862278 + 0.188812i
\(147\) 0.699485 0.807249i 0.0576926 0.0665808i
\(148\) 7.34288 4.71898i 0.603581 0.387898i
\(149\) 3.18139 + 22.1270i 0.260629 + 1.81272i 0.528134 + 0.849161i \(0.322892\pi\)
−0.267504 + 0.963557i \(0.586199\pi\)
\(150\) 0.0510170 + 0.354831i 0.00416552 + 0.0289718i
\(151\) −4.04355 + 2.59863i −0.329059 + 0.211474i −0.694730 0.719271i \(-0.744476\pi\)
0.365670 + 0.930744i \(0.380840\pi\)
\(152\) −2.79517 + 3.22579i −0.226718 + 0.261646i
\(153\) 0.101208 0.221615i 0.00818221 0.0179165i
\(154\) −3.20844 2.06194i −0.258544 0.166156i
\(155\) 3.58012 1.05122i 0.287562 0.0844359i
\(156\) −7.05315 8.13977i −0.564704 0.651703i
\(157\) 10.9333 + 3.21030i 0.872572 + 0.256210i 0.687209 0.726460i \(-0.258836\pi\)
0.185363 + 0.982670i \(0.440654\pi\)
\(158\) 0.901118 + 1.97317i 0.0716891 + 0.156977i
\(159\) −0.613952 + 4.27013i −0.0486895 + 0.338643i
\(160\) 3.93914 0.311416
\(161\) 11.6479 + 0.871239i 0.917983 + 0.0686632i
\(162\) −0.358480 −0.0281649
\(163\) −2.86552 + 19.9301i −0.224445 + 1.56105i 0.496487 + 0.868044i \(0.334623\pi\)
−0.720932 + 0.693005i \(0.756286\pi\)
\(164\) −3.74098 8.19160i −0.292121 0.639656i
\(165\) 4.19130 + 1.23068i 0.326293 + 0.0958081i
\(166\) 2.96481 + 3.42158i 0.230114 + 0.265566i
\(167\) −0.962343 + 0.282569i −0.0744683 + 0.0218659i −0.318755 0.947837i \(-0.603265\pi\)
0.244286 + 0.969703i \(0.421446\pi\)
\(168\) 2.84358 + 1.82746i 0.219387 + 0.140991i
\(169\) 8.35822 18.3020i 0.642940 1.40784i
\(170\) −0.0571937 + 0.0660050i −0.00438656 + 0.00506235i
\(171\) 2.58727 1.66274i 0.197854 0.127153i
\(172\) 2.60534 + 18.1206i 0.198656 + 1.38168i
\(173\) −2.77106 19.2731i −0.210679 1.46531i −0.770896 0.636962i \(-0.780191\pi\)
0.560216 0.828346i \(-0.310718\pi\)
\(174\) −0.776185 + 0.498824i −0.0588425 + 0.0378158i
\(175\) −1.59494 + 1.84066i −0.120566 + 0.139141i
\(176\) 5.88934 12.8959i 0.443926 0.972062i
\(177\) −4.37231 2.80992i −0.328643 0.211206i
\(178\) −4.36892 + 1.28283i −0.327465 + 0.0961523i
\(179\) −0.296424 0.342091i −0.0221557 0.0255691i 0.744564 0.667552i \(-0.232658\pi\)
−0.766719 + 0.641982i \(0.778112\pi\)
\(180\) −1.79568 0.527260i −0.133842 0.0392997i
\(181\) −2.81318 6.16000i −0.209102 0.457869i 0.775801 0.630978i \(-0.217346\pi\)
−0.984903 + 0.173108i \(0.944619\pi\)
\(182\) −0.715084 + 4.97352i −0.0530055 + 0.368661i
\(183\) 9.38738 0.693935
\(184\) −0.453188 6.64046i −0.0334095 0.489541i
\(185\) 4.66392 0.342899
\(186\) 0.190358 1.32397i 0.0139577 0.0970781i
\(187\) 0.442103 + 0.968071i 0.0323298 + 0.0707924i
\(188\) −9.90796 2.90924i −0.722613 0.212178i
\(189\) −1.59494 1.84066i −0.116015 0.133888i
\(190\) −1.05785 + 0.310611i −0.0767442 + 0.0225341i
\(191\) 9.20908 + 5.91832i 0.666346 + 0.428234i 0.829606 0.558349i \(-0.188565\pi\)
−0.163261 + 0.986583i \(0.552201\pi\)
\(192\) −2.10982 + 4.61987i −0.152263 + 0.333410i
\(193\) −0.735632 + 0.848964i −0.0529519 + 0.0611098i −0.781608 0.623770i \(-0.785600\pi\)
0.728656 + 0.684880i \(0.240145\pi\)
\(194\) −4.39997 + 2.82769i −0.315900 + 0.203016i
\(195\) −0.819024 5.69643i −0.0586515 0.407930i
\(196\) −0.284490 1.97867i −0.0203207 0.141334i
\(197\) −15.4094 + 9.90303i −1.09788 + 0.705562i −0.958618 0.284694i \(-0.908108\pi\)
−0.139257 + 0.990256i \(0.544472\pi\)
\(198\) 1.02547 1.18345i 0.0728767 0.0841042i
\(199\) 7.02440 15.3813i 0.497946 1.09035i −0.479185 0.877714i \(-0.659068\pi\)
0.977131 0.212636i \(-0.0682050\pi\)
\(200\) 1.16754 + 0.750330i 0.0825573 + 0.0530563i
\(201\) −1.60635 + 0.471665i −0.113303 + 0.0332687i
\(202\) 2.97412 + 3.43232i 0.209258 + 0.241497i
\(203\) −6.01466 1.76606i −0.422146 0.123953i
\(204\) −0.189411 0.414751i −0.0132614 0.0290384i
\(205\) 0.684802 4.76290i 0.0478287 0.332656i
\(206\) 5.49542 0.382884
\(207\) −1.03469 + 4.68288i −0.0719162 + 0.325483i
\(208\) −18.6777 −1.29507
\(209\) −1.91193 + 13.2978i −0.132251 + 0.919828i
\(210\) 0.362696 + 0.794193i 0.0250284 + 0.0548045i
\(211\) 16.5403 + 4.85667i 1.13868 + 0.334347i 0.796115 0.605146i \(-0.206885\pi\)
0.342568 + 0.939493i \(0.388703\pi\)
\(212\) 5.28714 + 6.10169i 0.363122 + 0.419066i
\(213\) 10.7844 3.16657i 0.738932 0.216970i
\(214\) 0.0470614 + 0.0302445i 0.00321705 + 0.00206747i
\(215\) −4.06358 + 8.89801i −0.277134 + 0.606839i
\(216\) −0.908850 + 1.04887i −0.0618394 + 0.0713665i
\(217\) 7.64501 4.91315i 0.518977 0.333526i
\(218\) −0.750251 5.21811i −0.0508134 0.353415i
\(219\) −0.995696 6.92522i −0.0672829 0.467963i
\(220\) 6.87737 4.41982i 0.463672 0.297984i
\(221\) 0.918183 1.05964i 0.0617637 0.0712791i
\(222\) 0.694542 1.52084i 0.0466146 0.102072i
\(223\) −4.44189 2.85463i −0.297451 0.191160i 0.383399 0.923583i \(-0.374753\pi\)
−0.680851 + 0.732422i \(0.738390\pi\)
\(224\) 9.20531 2.70292i 0.615056 0.180597i
\(225\) −0.654861 0.755750i −0.0436574 0.0503833i
\(226\) −0.661977 0.194374i −0.0440341 0.0129296i
\(227\) 9.55553 + 20.9237i 0.634223 + 1.38875i 0.904709 + 0.426031i \(0.140088\pi\)
−0.270486 + 0.962724i \(0.587184\pi\)
\(228\) 0.819131 5.69718i 0.0542483 0.377305i
\(229\) −3.87336 −0.255959 −0.127979 0.991777i \(-0.540849\pi\)
−0.127979 + 0.991777i \(0.540849\pi\)
\(230\) 0.828843 1.50622i 0.0546523 0.0993173i
\(231\) 10.6390 0.699998
\(232\) −0.508355 + 3.53569i −0.0333751 + 0.232129i
\(233\) 7.11858 + 15.5875i 0.466353 + 1.02117i 0.985993 + 0.166786i \(0.0533389\pi\)
−0.519640 + 0.854386i \(0.673934\pi\)
\(234\) −1.97949 0.581230i −0.129403 0.0379962i
\(235\) −3.61330 4.16997i −0.235705 0.272019i
\(236\) −9.33285 + 2.74037i −0.607517 + 0.178383i
\(237\) −5.09051 3.27147i −0.330664 0.212505i
\(238\) −0.0883643 + 0.193491i −0.00572780 + 0.0125421i
\(239\) −19.1751 + 22.1293i −1.24034 + 1.43142i −0.377448 + 0.926031i \(0.623198\pi\)
−0.862889 + 0.505394i \(0.831347\pi\)
\(240\) −2.73026 + 1.75463i −0.176238 + 0.113261i
\(241\) 4.04628 + 28.1425i 0.260644 + 1.81282i 0.528030 + 0.849226i \(0.322931\pi\)
−0.267386 + 0.963590i \(0.586160\pi\)
\(242\) 0.412299 + 2.86760i 0.0265036 + 0.184336i
\(243\) 0.841254 0.540641i 0.0539664 0.0346821i
\(244\) 11.5049 13.2773i 0.736523 0.849993i
\(245\) 0.443723 0.971617i 0.0283484 0.0620744i
\(246\) −1.45113 0.932586i −0.0925208 0.0594595i
\(247\) 16.9826 4.98653i 1.08058 0.317285i
\(248\) −3.39116 3.91361i −0.215339 0.248514i
\(249\) −12.1178 3.55812i −0.767937 0.225487i
\(250\) 0.148918 + 0.326085i 0.00941840 + 0.0206234i
\(251\) −3.56572 + 24.8001i −0.225066 + 1.56537i 0.493398 + 0.869804i \(0.335755\pi\)
−0.718464 + 0.695564i \(0.755154\pi\)
\(252\) −4.55809 −0.287133
\(253\) −12.4998 16.8117i −0.785854 1.05694i
\(254\) −3.65921 −0.229599
\(255\) 0.0346724 0.241152i 0.00217127 0.0151015i
\(256\) 2.77530 + 6.07705i 0.173456 + 0.379816i
\(257\) 6.78768 + 1.99304i 0.423404 + 0.124323i 0.486491 0.873685i \(-0.338276\pi\)
−0.0630874 + 0.998008i \(0.520095\pi\)
\(258\) 2.29637 + 2.65015i 0.142965 + 0.164991i
\(259\) 10.8990 3.20025i 0.677234 0.198854i
\(260\) −9.06069 5.82295i −0.561920 0.361124i
\(261\) 1.06919 2.34120i 0.0661813 0.144917i
\(262\) −1.37908 + 1.59155i −0.0852000 + 0.0983260i
\(263\) −2.82175 + 1.81343i −0.173996 + 0.111821i −0.624740 0.780833i \(-0.714795\pi\)
0.450744 + 0.892653i \(0.351159\pi\)
\(264\) −0.862782 6.00078i −0.0531005 0.369322i
\(265\) 0.613952 + 4.27013i 0.0377148 + 0.262312i
\(266\) −2.25893 + 1.45173i −0.138504 + 0.0890110i
\(267\) 8.31795 9.59943i 0.509051 0.587476i
\(268\) −1.30157 + 2.85004i −0.0795060 + 0.174094i
\(269\) −3.64368 2.34165i −0.222159 0.142773i 0.424828 0.905274i \(-0.360335\pi\)
−0.646987 + 0.762501i \(0.723971\pi\)
\(270\) −0.343959 + 0.100995i −0.0209327 + 0.00614639i
\(271\) −12.5561 14.4905i −0.762728 0.880235i 0.233009 0.972475i \(-0.425143\pi\)
−0.995737 + 0.0922399i \(0.970597\pi\)
\(272\) −0.758670 0.222766i −0.0460011 0.0135072i
\(273\) −5.82269 12.7499i −0.352405 0.771660i
\(274\) 0.524332 3.64681i 0.0316761 0.220312i
\(275\) 4.36825 0.263415
\(276\) 5.35529 + 7.20264i 0.322350 + 0.433548i
\(277\) −24.8789 −1.49483 −0.747413 0.664360i \(-0.768704\pi\)
−0.747413 + 0.664360i \(0.768704\pi\)
\(278\) 1.01071 7.02961i 0.0606181 0.421608i
\(279\) 1.55002 + 3.39408i 0.0927974 + 0.203198i
\(280\) 3.24325 + 0.952304i 0.193821 + 0.0569111i
\(281\) 6.69024 + 7.72095i 0.399106 + 0.460593i 0.919359 0.393419i \(-0.128708\pi\)
−0.520253 + 0.854012i \(0.674162\pi\)
\(282\) −1.89785 + 0.557258i −0.113015 + 0.0331843i
\(283\) −7.78069 5.00035i −0.462514 0.297240i 0.288555 0.957463i \(-0.406825\pi\)
−0.751069 + 0.660223i \(0.770462\pi\)
\(284\) 8.73821 19.1340i 0.518518 1.13539i
\(285\) 2.01402 2.32431i 0.119300 0.137680i
\(286\) 7.58133 4.87223i 0.448294 0.288101i
\(287\) −1.66786 11.6002i −0.0984509 0.684741i
\(288\) 0.560598 + 3.89905i 0.0330336 + 0.229753i
\(289\) −14.2514 + 9.15880i −0.838316 + 0.538753i
\(290\) −0.604209 + 0.697295i −0.0354804 + 0.0409466i
\(291\) 6.06094 13.2716i 0.355299 0.777996i
\(292\) −11.0152 7.07902i −0.644614 0.414268i
\(293\) −6.24519 + 1.83375i −0.364848 + 0.107129i −0.459018 0.888427i \(-0.651799\pi\)
0.0941697 + 0.995556i \(0.469980\pi\)
\(294\) −0.250751 0.289383i −0.0146241 0.0168771i
\(295\) −4.98685 1.46427i −0.290346 0.0852531i
\(296\) −2.68891 5.88790i −0.156290 0.342227i
\(297\) −0.621667 + 4.32379i −0.0360728 + 0.250892i
\(298\) 8.01367 0.464219
\(299\) −13.3062 + 24.1808i −0.769516 + 1.39841i
\(300\) −1.87149 −0.108051
\(301\) −3.39057 + 23.5819i −0.195429 + 1.35924i
\(302\) 0.715786 + 1.56735i 0.0411888 + 0.0901910i
\(303\) −12.1559 3.56929i −0.698337 0.205050i
\(304\) −6.53644 7.54346i −0.374891 0.432647i
\(305\) 9.00713 2.64473i 0.515747 0.151437i
\(306\) −0.0734727 0.0472180i −0.00420016 0.00269928i
\(307\) 9.37757 20.5340i 0.535206 1.17194i −0.428149 0.903708i \(-0.640834\pi\)
0.963355 0.268230i \(-0.0864386\pi\)
\(308\) 13.0389 15.0476i 0.742958 0.857419i
\(309\) −12.8962 + 8.28790i −0.733641 + 0.471482i
\(310\) −0.190358 1.32397i −0.0108116 0.0751964i
\(311\) 1.07447 + 7.47312i 0.0609277 + 0.423762i 0.997342 + 0.0728648i \(0.0232142\pi\)
−0.936414 + 0.350897i \(0.885877\pi\)
\(312\) −6.71918 + 4.31816i −0.380399 + 0.244468i
\(313\) 9.12644 10.5325i 0.515857 0.595331i −0.436732 0.899592i \(-0.643864\pi\)
0.952589 + 0.304261i \(0.0984095\pi\)
\(314\) 1.69690 3.71569i 0.0957616 0.209689i
\(315\) −2.04891 1.31675i −0.115443 0.0741906i
\(316\) −10.8659 + 3.19051i −0.611253 + 0.179480i
\(317\) −15.1013 17.4279i −0.848176 0.978848i 0.151778 0.988415i \(-0.451500\pi\)
−0.999954 + 0.00956707i \(0.996955\pi\)
\(318\) 1.48385 + 0.435699i 0.0832103 + 0.0244328i
\(319\) 4.67050 + 10.2270i 0.261498 + 0.572600i
\(320\) −0.722793 + 5.02713i −0.0404054 + 0.281025i
\(321\) −0.156053 −0.00871004
\(322\) 0.903384 4.08859i 0.0503436 0.227848i
\(323\) 0.749289 0.0416916
\(324\) 0.266341 1.85244i 0.0147967 0.102913i
\(325\) −2.39072 5.23494i −0.132613 0.290382i
\(326\) 6.92565 + 2.03355i 0.383576 + 0.112628i
\(327\) 9.63031 + 11.1140i 0.532557 + 0.614604i
\(328\) −6.40767 + 1.88146i −0.353804 + 0.103886i
\(329\) −11.3052 7.26539i −0.623274 0.400554i
\(330\) 0.650511 1.42442i 0.0358094 0.0784117i
\(331\) −14.3128 + 16.5178i −0.786702 + 0.907903i −0.997574 0.0696111i \(-0.977824\pi\)
0.210872 + 0.977514i \(0.432370\pi\)
\(332\) −19.8837 + 12.7785i −1.09126 + 0.701312i
\(333\) 0.663746 + 4.61645i 0.0363730 + 0.252980i
\(334\) 0.0511686 + 0.355885i 0.00279982 + 0.0194732i
\(335\) −1.40839 + 0.905119i −0.0769487 + 0.0494520i
\(336\) −5.17632 + 5.97380i −0.282392 + 0.325897i
\(337\) −0.799974 + 1.75170i −0.0435773 + 0.0954211i −0.930169 0.367133i \(-0.880340\pi\)
0.886591 + 0.462554i \(0.153067\pi\)
\(338\) −6.06769 3.89947i −0.330039 0.212103i
\(339\) 1.84662 0.542217i 0.100295 0.0294492i
\(340\) −0.298587 0.344588i −0.0161932 0.0186879i
\(341\) −15.6389 4.59198i −0.846892 0.248670i
\(342\) −0.457997 1.00287i −0.0247656 0.0542292i
\(343\) 2.79653 19.4503i 0.150998 1.05022i
\(344\) 13.5760 0.731966
\(345\) 0.326539 + 4.78470i 0.0175803 + 0.257600i
\(346\) −6.98007 −0.375251
\(347\) −2.21489 + 15.4049i −0.118901 + 0.826977i 0.839868 + 0.542791i \(0.182632\pi\)
−0.958769 + 0.284186i \(0.908277\pi\)
\(348\) −2.00098 4.38155i −0.107264 0.234875i
\(349\) 22.4746 + 6.59915i 1.20304 + 0.353244i 0.821015 0.570907i \(-0.193408\pi\)
0.382026 + 0.924152i \(0.375227\pi\)
\(350\) 0.571754 + 0.659839i 0.0305615 + 0.0352699i
\(351\) 5.52189 1.62137i 0.294737 0.0865426i
\(352\) −14.4756 9.30288i −0.771550 0.495845i
\(353\) 6.67361 14.6132i 0.355200 0.777780i −0.644710 0.764427i \(-0.723022\pi\)
0.999911 0.0133535i \(-0.00425068\pi\)
\(354\) −1.22011 + 1.40808i −0.0648480 + 0.0748386i
\(355\) 9.45539 6.07661i 0.501840 0.322513i
\(356\) −3.38303 23.5295i −0.179300 1.24706i
\(357\) −0.0844461 0.587336i −0.00446936 0.0310851i
\(358\) −0.136507 + 0.0877279i −0.00721463 + 0.00463656i
\(359\) 2.42078 2.79372i 0.127764 0.147447i −0.688263 0.725461i \(-0.741627\pi\)
0.816027 + 0.578014i \(0.196172\pi\)
\(360\) −0.576535 + 1.26244i −0.0303861 + 0.0665362i
\(361\) −8.02667 5.15843i −0.422456 0.271496i
\(362\) −2.32928 + 0.683939i −0.122424 + 0.0359470i
\(363\) −5.29232 6.10766i −0.277775 0.320569i
\(364\) −25.1693 7.39038i −1.31923 0.387361i
\(365\) −2.90642 6.36418i −0.152129 0.333116i
\(366\) 0.478916 3.33094i 0.0250334 0.174111i
\(367\) 27.3442 1.42736 0.713678 0.700474i \(-0.247028\pi\)
0.713678 + 0.700474i \(0.247028\pi\)
\(368\) 15.5214 + 1.16096i 0.809106 + 0.0605195i
\(369\) 4.81188 0.250497
\(370\) 0.237940 1.65491i 0.0123699 0.0860345i
\(371\) 4.36477 + 9.55752i 0.226608 + 0.496202i
\(372\) 6.70017 + 1.96735i 0.347387 + 0.102002i
\(373\) 1.29173 + 1.49073i 0.0668831 + 0.0771873i 0.788205 0.615413i \(-0.211011\pi\)
−0.721322 + 0.692600i \(0.756465\pi\)
\(374\) 0.366057 0.107484i 0.0189283 0.00555786i
\(375\) −0.841254 0.540641i −0.0434421 0.0279186i
\(376\) −3.18112 + 6.96568i −0.164054 + 0.359228i
\(377\) 9.69994 11.1943i 0.499572 0.576537i
\(378\) −0.734492 + 0.472029i −0.0377782 + 0.0242786i
\(379\) −2.31196 16.0801i −0.118758 0.825977i −0.958927 0.283653i \(-0.908454\pi\)
0.840169 0.542324i \(-0.182455\pi\)
\(380\) −0.819131 5.69718i −0.0420205 0.292259i
\(381\) 8.58715 5.51863i 0.439933 0.282728i
\(382\) 2.56982 2.96573i 0.131484 0.151740i
\(383\) 9.34429 20.4611i 0.477471 1.04552i −0.505680 0.862721i \(-0.668758\pi\)
0.983151 0.182795i \(-0.0585144\pi\)
\(384\) 8.15927 + 5.24364i 0.416376 + 0.267589i
\(385\) 10.2081 2.99737i 0.520252 0.152760i
\(386\) 0.263709 + 0.304337i 0.0134224 + 0.0154903i
\(387\) −9.38575 2.75590i −0.477104 0.140090i
\(388\) −11.3430 24.8377i −0.575854 1.26094i
\(389\) 0.622317 4.32831i 0.0315527 0.219454i −0.967944 0.251165i \(-0.919186\pi\)
0.999497 + 0.0317106i \(0.0100955\pi\)
\(390\) −2.06306 −0.104467
\(391\) −0.828884 + 0.823499i −0.0419185 + 0.0416461i
\(392\) −1.48243 −0.0748738
\(393\) 0.836039 5.81478i 0.0421726 0.293317i
\(394\) 2.72776 + 5.97297i 0.137423 + 0.300914i
\(395\) −5.80599 1.70479i −0.292131 0.0857774i
\(396\) 5.35358 + 6.17836i 0.269027 + 0.310474i
\(397\) −17.0294 + 5.00028i −0.854680 + 0.250957i −0.679587 0.733595i \(-0.737841\pi\)
−0.175094 + 0.984552i \(0.556023\pi\)
\(398\) −5.09940 3.27718i −0.255610 0.164270i
\(399\) 3.11167 6.81360i 0.155778 0.341106i
\(400\) −2.12533 + 2.45276i −0.106266 + 0.122638i
\(401\) 32.1085 20.6349i 1.60342 1.03046i 0.637907 0.770114i \(-0.279801\pi\)
0.965516 0.260343i \(-0.0838358\pi\)
\(402\) 0.0854107 + 0.594044i 0.00425990 + 0.0296282i
\(403\) 3.05599 + 21.2549i 0.152230 + 1.05878i
\(404\) −19.9462 + 12.8186i −0.992358 + 0.637750i
\(405\) 0.654861 0.755750i 0.0325403 0.0375535i
\(406\) −0.933504 + 2.04409i −0.0463290 + 0.101446i
\(407\) −17.1390 11.0146i −0.849549 0.545972i
\(408\) −0.324429 + 0.0952609i −0.0160616 + 0.00471612i
\(409\) 24.9725 + 28.8198i 1.23481 + 1.42505i 0.869331 + 0.494230i \(0.164550\pi\)
0.365481 + 0.930819i \(0.380904\pi\)
\(410\) −1.65509 0.485978i −0.0817391 0.0240008i
\(411\) 4.26947 + 9.34883i 0.210597 + 0.461144i
\(412\) −4.08295 + 28.3975i −0.201152 + 1.39905i
\(413\) −12.6584 −0.622880
\(414\) 1.60885 + 0.606049i 0.0790705 + 0.0297857i
\(415\) −12.6294 −0.619954
\(416\) −3.22625 + 22.4391i −0.158180 + 1.10017i
\(417\) 8.22985 + 18.0208i 0.403017 + 0.882485i
\(418\) 4.62093 + 1.35683i 0.226017 + 0.0663646i
\(419\) 21.6585 + 24.9952i 1.05809 + 1.22110i 0.974451 + 0.224601i \(0.0721078\pi\)
0.0836358 + 0.996496i \(0.473347\pi\)
\(420\) −4.37346 + 1.28416i −0.213403 + 0.0626608i
\(421\) 1.28910 + 0.828457i 0.0628271 + 0.0403765i 0.571677 0.820479i \(-0.306293\pi\)
−0.508850 + 0.860855i \(0.669929\pi\)
\(422\) 2.56714 5.62125i 0.124966 0.273638i
\(423\) 3.61330 4.16997i 0.175684 0.202751i
\(424\) 5.03680 3.23695i 0.244608 0.157200i
\(425\) −0.0346724 0.241152i −0.00168186 0.0116976i
\(426\) −0.573413 3.98818i −0.0277820 0.193228i
\(427\) 19.2339 12.3609i 0.930792 0.598184i
\(428\) −0.191254 + 0.220718i −0.00924459 + 0.0106688i
\(429\) −10.4433 + 22.8675i −0.504205 + 1.10405i
\(430\) 2.94998 + 1.89584i 0.142261 + 0.0914253i
\(431\) −7.84367 + 2.30311i −0.377816 + 0.110937i −0.465126 0.885244i \(-0.653991\pi\)
0.0873101 + 0.996181i \(0.472173\pi\)
\(432\) −2.12533 2.45276i −0.102255 0.118008i
\(433\) −24.4480 7.17857i −1.17489 0.344980i −0.364691 0.931129i \(-0.618825\pi\)
−0.810204 + 0.586148i \(0.800644\pi\)
\(434\) −1.35331 2.96334i −0.0649611 0.142245i
\(435\) 0.366289 2.54760i 0.0175622 0.122148i
\(436\) 27.5220 1.31806
\(437\) −14.4226 + 3.08826i −0.689928 + 0.147731i
\(438\) −2.50808 −0.119841
\(439\) −4.32112 + 30.0540i −0.206236 + 1.43440i 0.579063 + 0.815283i \(0.303419\pi\)
−0.785299 + 0.619117i \(0.787491\pi\)
\(440\) −2.51845 5.51463i −0.120062 0.262900i
\(441\) 1.02488 + 0.300931i 0.0488036 + 0.0143300i
\(442\) −0.329150 0.379860i −0.0156561 0.0180681i
\(443\) −35.9903 + 10.5677i −1.70995 + 0.502087i −0.982844 0.184436i \(-0.940954\pi\)
−0.727108 + 0.686524i \(0.759136\pi\)
\(444\) 7.34288 + 4.71898i 0.348478 + 0.223953i
\(445\) 5.27655 11.5540i 0.250132 0.547713i
\(446\) −1.23952 + 1.43049i −0.0586932 + 0.0677356i
\(447\) −18.8059 + 12.0858i −0.889487 + 0.571639i
\(448\) 1.76039 + 12.2438i 0.0831707 + 0.578465i
\(449\) −5.46684 38.0227i −0.257996 1.79440i −0.547060 0.837093i \(-0.684253\pi\)
0.289064 0.957310i \(-0.406656\pi\)
\(450\) −0.301573 + 0.193809i −0.0142163 + 0.00913624i
\(451\) −13.7648 + 15.8855i −0.648161 + 0.748018i
\(452\) 1.49626 3.27635i 0.0703781 0.154106i
\(453\) −4.04355 2.59863i −0.189983 0.122094i
\(454\) 7.91188 2.32314i 0.371323 0.109030i
\(455\) −9.17890 10.5930i −0.430313 0.496608i
\(456\) −4.09544 1.20253i −0.191787 0.0563136i
\(457\) −4.08248 8.93939i −0.190970 0.418167i 0.789791 0.613376i \(-0.210189\pi\)
−0.980762 + 0.195209i \(0.937462\pi\)
\(458\) −0.197607 + 1.37439i −0.00923357 + 0.0642209i
\(459\) 0.243632 0.0113718
\(460\) 7.16758 + 5.40212i 0.334190 + 0.251875i
\(461\) 26.3896 1.22909 0.614543 0.788883i \(-0.289340\pi\)
0.614543 + 0.788883i \(0.289340\pi\)
\(462\) 0.542772 3.77507i 0.0252521 0.175632i
\(463\) 14.4497 + 31.6405i 0.671537 + 1.47046i 0.871368 + 0.490630i \(0.163233\pi\)
−0.199831 + 0.979830i \(0.564039\pi\)
\(464\) −8.01480 2.35336i −0.372078 0.109252i
\(465\) 2.44346 + 2.81990i 0.113313 + 0.130770i
\(466\) 5.89410 1.73066i 0.273039 0.0801715i
\(467\) 26.1362 + 16.7967i 1.20944 + 0.777259i 0.980564 0.196197i \(-0.0628593\pi\)
0.228874 + 0.973456i \(0.426496\pi\)
\(468\) 4.47421 9.79716i 0.206820 0.452874i
\(469\) −2.67018 + 3.08156i −0.123298 + 0.142293i
\(470\) −1.66397 + 1.06937i −0.0767534 + 0.0493264i
\(471\) 1.62166 + 11.2789i 0.0747221 + 0.519704i
\(472\) 1.02654 + 7.13978i 0.0472506 + 0.328635i
\(473\) 35.9469 23.1017i 1.65284 1.06222i
\(474\) −1.42052 + 1.63937i −0.0652468 + 0.0752988i
\(475\) 1.27761 2.79757i 0.0586207 0.128361i
\(476\) −0.934210 0.600380i −0.0428194 0.0275184i
\(477\) −4.13929 + 1.21541i −0.189525 + 0.0556496i
\(478\) 6.87391 + 7.93291i 0.314405 + 0.362843i
\(479\) 17.2981 + 5.07918i 0.790370 + 0.232074i 0.651912 0.758295i \(-0.273967\pi\)
0.138458 + 0.990368i \(0.455785\pi\)
\(480\) 1.63638 + 3.58317i 0.0746901 + 0.163548i
\(481\) −3.81986 + 26.5677i −0.174171 + 1.21138i
\(482\) 10.1923 0.464244
\(483\) 4.04621 + 10.9572i 0.184109 + 0.498571i
\(484\) −15.1246 −0.687484
\(485\) 2.07639 14.4416i 0.0942839 0.655759i
\(486\) −0.148918 0.326085i −0.00675506 0.0147915i
\(487\) −11.3276 3.32609i −0.513303 0.150719i 0.0148150 0.999890i \(-0.495284\pi\)
−0.528118 + 0.849171i \(0.677102\pi\)
\(488\) −8.53172 9.84613i −0.386213 0.445714i
\(489\) −19.3195 + 5.67271i −0.873657 + 0.256529i
\(490\) −0.322123 0.207016i −0.0145520 0.00935202i
\(491\) 11.6193 25.4427i 0.524371 1.14821i −0.443386 0.896331i \(-0.646223\pi\)
0.967758 0.251883i \(-0.0810497\pi\)
\(492\) 5.89728 6.80583i 0.265870 0.306830i
\(493\) 0.527515 0.339013i 0.0237581 0.0152684i
\(494\) −0.902977 6.28034i −0.0406269 0.282566i
\(495\) 0.621667 + 4.32379i 0.0279418 + 0.194340i
\(496\) 10.1873 6.54699i 0.457424 0.293969i
\(497\) 17.9265 20.6883i 0.804116 0.927999i
\(498\) −1.88075 + 4.11826i −0.0842783 + 0.184544i
\(499\) 20.8623 + 13.4074i 0.933925 + 0.600197i 0.916666 0.399654i \(-0.130870\pi\)
0.0172592 + 0.999851i \(0.494506\pi\)
\(500\) −1.79568 + 0.527260i −0.0803054 + 0.0235798i
\(501\) −0.656806 0.757994i −0.0293439 0.0338647i
\(502\) 8.61794 + 2.53045i 0.384637 + 0.112940i
\(503\) 0.916459 + 2.00677i 0.0408629 + 0.0894773i 0.928963 0.370174i \(-0.120702\pi\)
−0.888100 + 0.459651i \(0.847975\pi\)
\(504\) −0.481048 + 3.34577i −0.0214276 + 0.149032i
\(505\) −12.6691 −0.563766
\(506\) −6.60301 + 3.57763i −0.293539 + 0.159045i
\(507\) 20.1202 0.893568
\(508\) 2.71869 18.9089i 0.120623 0.838948i
\(509\) −5.36484 11.7474i −0.237792 0.520692i 0.752683 0.658383i \(-0.228759\pi\)
−0.990475 + 0.137691i \(0.956032\pi\)
\(510\) −0.0837994 0.0246057i −0.00371070 0.00108956i
\(511\) −11.1589 12.8780i −0.493640 0.569691i
\(512\) 20.9100 6.13974i 0.924102 0.271341i
\(513\) 2.58727 + 1.66274i 0.114231 + 0.0734117i
\(514\) 1.05348 2.30680i 0.0464671 0.101749i
\(515\) −10.0389 + 11.5855i −0.442365 + 0.510517i
\(516\) −15.4008 + 9.89746i −0.677980 + 0.435711i
\(517\) 3.43014 + 23.8572i 0.150857 + 1.04924i
\(518\) −0.579511 4.03059i −0.0254623 0.177094i
\(519\) 16.3803 10.5270i 0.719016 0.462083i
\(520\) −5.23044 + 6.03625i −0.229370 + 0.264707i
\(521\) −14.1235 + 30.9262i −0.618763 + 1.35490i 0.297653 + 0.954674i \(0.403796\pi\)
−0.916416 + 0.400227i \(0.868931\pi\)
\(522\) −0.776185 0.498824i −0.0339727 0.0218329i
\(523\) −4.41087 + 1.29515i −0.192874 + 0.0566328i −0.376743 0.926318i \(-0.622956\pi\)
0.183869 + 0.982951i \(0.441138\pi\)
\(524\) −7.19968 8.30887i −0.314519 0.362975i
\(525\) −2.33688 0.686171i −0.101990 0.0299470i
\(526\) 0.499503 + 1.09376i 0.0217794 + 0.0476902i
\(527\) −0.129372 + 0.899802i −0.00563553 + 0.0391960i
\(528\) 14.1770 0.616975
\(529\) 12.5606 19.2674i 0.546113 0.837712i
\(530\) 1.54650 0.0671755
\(531\) 0.739664 5.14448i 0.0320987 0.223251i
\(532\) −5.82346 12.7516i −0.252479 0.552852i
\(533\) 26.5707 + 7.80186i 1.15091 + 0.337936i
\(534\) −2.98182 3.44120i −0.129036 0.148915i
\(535\) −0.149732 + 0.0439653i −0.00647348 + 0.00190078i
\(536\) 1.95464 + 1.25617i 0.0844277 + 0.0542584i
\(537\) 0.188038 0.411746i 0.00811445 0.0177682i
\(538\) −1.01678 + 1.17343i −0.0438365 + 0.0505900i
\(539\) −3.92522 + 2.52258i −0.169071 + 0.108655i
\(540\) −0.266341 1.85244i −0.0114615 0.0797165i
\(541\) 0.193137 + 1.34330i 0.00830360 + 0.0577528i 0.993552 0.113378i \(-0.0361671\pi\)
−0.985248 + 0.171131i \(0.945258\pi\)
\(542\) −5.78225 + 3.71603i −0.248369 + 0.159617i
\(543\) 4.43470 5.11792i 0.190311 0.219631i
\(544\) −0.398674 + 0.872974i −0.0170930 + 0.0374285i
\(545\) 12.3714 + 7.95060i 0.529932 + 0.340566i
\(546\) −4.82112 + 1.41561i −0.206325 + 0.0605825i
\(547\) 12.0302 + 13.8836i 0.514376 + 0.593621i 0.952214 0.305433i \(-0.0988011\pi\)
−0.437838 + 0.899054i \(0.644256\pi\)
\(548\) 18.4553 + 5.41897i 0.788372 + 0.231487i
\(549\) 3.89966 + 8.53906i 0.166433 + 0.364438i
\(550\) 0.222855 1.54999i 0.00950257 0.0660918i
\(551\) 7.91569 0.337220
\(552\) 5.85211 3.17078i 0.249083 0.134957i
\(553\) −14.7377 −0.626711
\(554\) −1.26925 + 8.82779i −0.0539251 + 0.375057i
\(555\) 1.93746 + 4.24245i 0.0822408 + 0.180082i
\(556\) 35.5745 + 10.4456i 1.50870 + 0.442993i
\(557\) −13.2499 15.2912i −0.561417 0.647910i 0.402088 0.915601i \(-0.368285\pi\)
−0.963505 + 0.267691i \(0.913739\pi\)
\(558\) 1.28340 0.376841i 0.0543307 0.0159529i
\(559\) −47.3587 30.4356i −2.00306 1.28729i
\(560\) −3.28363 + 7.19015i −0.138759 + 0.303839i
\(561\) −0.696932 + 0.804302i −0.0294245 + 0.0339577i
\(562\) 3.08095 1.98001i 0.129962 0.0835215i
\(563\) 3.60786 + 25.0932i 0.152053 + 1.05755i 0.912772 + 0.408470i \(0.133938\pi\)
−0.760718 + 0.649082i \(0.775153\pi\)
\(564\) −1.46958 10.2211i −0.0618804 0.430388i
\(565\) 1.61906 1.04051i 0.0681144 0.0437745i
\(566\) −2.17123 + 2.50573i −0.0912635 + 0.105324i
\(567\) 1.01176 2.21545i 0.0424899 0.0930400i
\(568\) −13.1227 8.43344i −0.550616 0.353859i
\(569\) 24.0428 7.05959i 1.00792 0.295953i 0.264220 0.964462i \(-0.414885\pi\)
0.743704 + 0.668509i \(0.233067\pi\)
\(570\) −0.721987 0.833217i −0.0302407 0.0348996i
\(571\) −20.2425 5.94373i −0.847122 0.248737i −0.170765 0.985312i \(-0.554624\pi\)
−0.676357 + 0.736574i \(0.736442\pi\)
\(572\) 19.5445 + 42.7964i 0.817195 + 1.78941i
\(573\) −1.55790 + 10.8354i −0.0650822 + 0.452657i
\(574\) −4.20122 −0.175355
\(575\) 1.66132 + 4.49889i 0.0692818 + 0.187617i
\(576\) −5.07883 −0.211618
\(577\) −5.64903 + 39.2898i −0.235172 + 1.63566i 0.440000 + 0.897998i \(0.354978\pi\)
−0.675172 + 0.737660i \(0.735931\pi\)
\(578\) 2.52277 + 5.52409i 0.104933 + 0.229772i
\(579\) −1.07784 0.316482i −0.0447934 0.0131525i
\(580\) −3.15435 3.64032i −0.130977 0.151156i
\(581\) −29.5135 + 8.66594i −1.22443 + 0.359524i
\(582\) −4.39997 2.82769i −0.182385 0.117212i
\(583\) 7.82841 17.1418i 0.324220 0.709942i
\(584\) −6.35871 + 7.33834i −0.263125 + 0.303663i
\(585\) 4.84142 3.11139i 0.200168 0.128640i
\(586\) 0.332062 + 2.30954i 0.0137174 + 0.0954063i
\(587\) −5.73518 39.8890i −0.236716 1.64640i −0.667986 0.744173i \(-0.732844\pi\)
0.431270 0.902223i \(-0.358065\pi\)
\(588\) 1.68168 1.08075i 0.0693515 0.0445695i
\(589\) −7.51485 + 8.67260i −0.309644 + 0.357348i
\(590\) −0.773983 + 1.69479i −0.0318644 + 0.0697733i
\(591\) −15.4094 9.90303i −0.633859 0.407356i
\(592\) 14.5235 4.26448i 0.596911 0.175269i
\(593\) 2.16612 + 2.49984i 0.0889520 + 0.102656i 0.798481 0.602021i \(-0.205638\pi\)
−0.709529 + 0.704677i \(0.751092\pi\)
\(594\) 1.50250 + 0.441173i 0.0616483 + 0.0181016i
\(595\) −0.246497 0.539753i −0.0101054 0.0221277i
\(596\) −5.95394 + 41.4106i −0.243883 + 1.69624i
\(597\) 16.9093 0.692053
\(598\) 7.90125 + 5.95508i 0.323106 + 0.243521i
\(599\) 18.6014 0.760034 0.380017 0.924979i \(-0.375918\pi\)
0.380017 + 0.924979i \(0.375918\pi\)
\(600\) −0.197512 + 1.37373i −0.00806339 + 0.0560821i
\(601\) −12.6369 27.6709i −0.515469 1.12872i −0.971127 0.238565i \(-0.923323\pi\)
0.455657 0.890155i \(-0.349404\pi\)
\(602\) 8.19463 + 2.40616i 0.333988 + 0.0980677i
\(603\) −1.09634 1.26525i −0.0446465 0.0515248i
\(604\) −8.63109 + 2.53432i −0.351194 + 0.103120i
\(605\) −6.79867 4.36924i −0.276405 0.177635i
\(606\) −1.88665 + 4.13119i −0.0766399 + 0.167818i
\(607\) 3.30573 3.81501i 0.134175 0.154846i −0.684686 0.728839i \(-0.740061\pi\)
0.818861 + 0.573992i \(0.194606\pi\)
\(608\) −10.1916 + 6.54976i −0.413325 + 0.265628i
\(609\) −0.892111 6.20477i −0.0361502 0.251430i
\(610\) −0.478916 3.33094i −0.0193908 0.134866i
\(611\) 26.7133 17.1676i 1.08071 0.694527i
\(612\) 0.298587 0.344588i 0.0120697 0.0139291i
\(613\) 9.22651 20.2032i 0.372655 0.816001i −0.626670 0.779284i \(-0.715583\pi\)
0.999326 0.0367168i \(-0.0116899\pi\)
\(614\) −6.80769 4.37504i −0.274736 0.176562i
\(615\) 4.61697 1.35566i 0.186174 0.0546656i
\(616\) −9.66930 11.1590i −0.389587 0.449608i
\(617\) −24.7678 7.27249i −0.997115 0.292779i −0.257843 0.966187i \(-0.583012\pi\)
−0.739272 + 0.673407i \(0.764830\pi\)
\(618\) 2.28288 + 4.99881i 0.0918309 + 0.201082i
\(619\) −0.155343 + 1.08044i −0.00624378 + 0.0434265i −0.992705 0.120567i \(-0.961529\pi\)
0.986461 + 0.163994i \(0.0524377\pi\)
\(620\) 6.98303 0.280445
\(621\) −4.68953 + 1.00415i −0.188184 + 0.0402951i
\(622\) 2.70651 0.108521
\(623\) 4.40264 30.6210i 0.176388 1.22681i
\(624\) −7.75900 16.9898i −0.310608 0.680138i
\(625\) −0.959493 0.281733i −0.0383797 0.0112693i
\(626\) −3.27165 3.77568i −0.130761 0.150907i
\(627\) −12.8903 + 3.78495i −0.514791 + 0.151156i
\(628\) 17.9401 + 11.5294i 0.715887 + 0.460072i
\(629\) −0.472028 + 1.03360i −0.0188210 + 0.0412122i
\(630\) −0.571754 + 0.659839i −0.0227792 + 0.0262886i
\(631\) 34.8445 22.3932i 1.38714 0.891460i 0.387601 0.921827i \(-0.373304\pi\)
0.999539 + 0.0303670i \(0.00966759\pi\)
\(632\) 1.19517 + 8.31256i 0.0475411 + 0.330656i
\(633\) 2.45331 + 17.0631i 0.0975102 + 0.678199i
\(634\) −6.95438 + 4.46931i −0.276194 + 0.177499i
\(635\) 6.68454 7.71436i 0.265268 0.306135i
\(636\) −3.35393 + 7.34409i −0.132992 + 0.291212i
\(637\) 5.17134 + 3.32342i 0.204896 + 0.131679i
\(638\) 3.86712 1.13549i 0.153101 0.0449544i
\(639\) 7.36040 + 8.49435i 0.291173 + 0.336031i
\(640\) 9.30606 + 2.73251i 0.367855 + 0.108012i
\(641\) −9.50959 20.8231i −0.375606 0.822463i −0.999172 0.0406917i \(-0.987044\pi\)
0.623566 0.781771i \(-0.285683\pi\)
\(642\) −0.00796137 + 0.0553726i −0.000314210 + 0.00218538i
\(643\) −14.1854 −0.559417 −0.279708 0.960085i \(-0.590238\pi\)
−0.279708 + 0.960085i \(0.590238\pi\)
\(644\) 20.4566 + 7.70594i 0.806102 + 0.303657i
\(645\) −9.78199 −0.385165
\(646\) 0.0382265 0.265871i 0.00150400 0.0104606i
\(647\) 1.62233 + 3.55240i 0.0637802 + 0.139659i 0.938838 0.344360i \(-0.111904\pi\)
−0.875058 + 0.484019i \(0.839177\pi\)
\(648\) −1.33163 0.391003i −0.0523116 0.0153601i
\(649\) 14.8676 + 17.1581i 0.583604 + 0.673515i
\(650\) −1.97949 + 0.581230i −0.0776419 + 0.0227977i
\(651\) 7.64501 + 4.91315i 0.299632 + 0.192562i
\(652\) −15.6539 + 34.2774i −0.613056 + 1.34240i
\(653\) −1.01656 + 1.17317i −0.0397811 + 0.0459099i −0.775291 0.631604i \(-0.782397\pi\)
0.735510 + 0.677514i \(0.236942\pi\)
\(654\) 4.43489 2.85013i 0.173418 0.111449i
\(655\) −0.836039 5.81478i −0.0326667 0.227202i
\(656\) −2.22250 15.4578i −0.0867742 0.603528i
\(657\) 5.88577 3.78255i 0.229626 0.147572i
\(658\) −3.15474 + 3.64077i −0.122985 + 0.141932i
\(659\) −4.58891 + 10.0483i −0.178758 + 0.391426i −0.977707 0.209973i \(-0.932663\pi\)
0.798949 + 0.601399i \(0.205390\pi\)
\(660\) 6.87737 + 4.41982i 0.267701 + 0.172041i
\(661\) 8.55691 2.51254i 0.332825 0.0977263i −0.111050 0.993815i \(-0.535421\pi\)
0.443875 + 0.896088i \(0.353603\pi\)
\(662\) 5.13085 + 5.92132i 0.199416 + 0.230138i
\(663\) 1.34531 + 0.395019i 0.0522475 + 0.0153412i
\(664\) 7.28130 + 15.9438i 0.282569 + 0.618740i
\(665\) 1.06601 7.41426i 0.0413381 0.287512i
\(666\) 1.67192 0.0647857
\(667\) −8.75656 + 8.69967i −0.339055 + 0.336852i
\(668\) −1.87705 −0.0726253
\(669\) 0.751435 5.22635i 0.0290522 0.202062i
\(670\) 0.249313 + 0.545918i 0.00963179 + 0.0210907i
\(671\) −39.3454 11.5528i −1.51891 0.445992i
\(672\) 6.28269 + 7.25061i 0.242360 + 0.279698i
\(673\) 12.7853 3.75409i 0.492836 0.144710i −0.0258651 0.999665i \(-0.508234\pi\)
0.518701 + 0.854956i \(0.326416\pi\)
\(674\) 0.580745 + 0.373222i 0.0223695 + 0.0143760i
\(675\) 0.415415 0.909632i 0.0159893 0.0350118i
\(676\) 24.6586 28.4576i 0.948408 1.09452i
\(677\) 8.04579 5.17072i 0.309225 0.198727i −0.376819 0.926287i \(-0.622982\pi\)
0.686044 + 0.727560i \(0.259346\pi\)
\(678\) −0.0981864 0.682902i −0.00377083 0.0262267i
\(679\) −5.05712 35.1731i −0.194075 1.34982i
\(680\) −0.284449 + 0.182804i −0.0109081 + 0.00701022i
\(681\) −15.0634 + 17.3840i −0.577229 + 0.666158i
\(682\) −2.42723 + 5.31489i −0.0929433 + 0.203517i
\(683\) −31.3127 20.1234i −1.19815 0.770002i −0.219512 0.975610i \(-0.570447\pi\)
−0.978634 + 0.205608i \(0.934083\pi\)
\(684\) 5.52262 1.62159i 0.211163 0.0620029i
\(685\) 6.73039 + 7.76729i 0.257155 + 0.296773i
\(686\) −6.75890 1.98459i −0.258056 0.0757720i
\(687\) −1.60905 3.52333i −0.0613891 0.134423i
\(688\) −4.51808 + 31.4240i −0.172250 + 1.19803i
\(689\) −24.8273 −0.945847
\(690\) 1.71442 + 0.128235i 0.0652669 + 0.00488183i
\(691\) 5.50408 0.209385 0.104693 0.994505i \(-0.466614\pi\)
0.104693 + 0.994505i \(0.466614\pi\)
\(692\) 5.18601 36.0695i 0.197142 1.37116i
\(693\) 4.41962 + 9.67762i 0.167887 + 0.367622i
\(694\) 5.35313 + 1.57182i 0.203202 + 0.0596655i
\(695\) 12.9735 + 14.9723i 0.492114 + 0.567930i
\(696\) −3.42735 + 1.00636i −0.129913 + 0.0381460i
\(697\) 0.986225 + 0.633808i 0.0373559 + 0.0240072i
\(698\) 3.48817 7.63804i 0.132029 0.289104i
\(699\) −11.2217 + 12.9506i −0.424445 + 0.489836i
\(700\) −3.83451 + 2.46429i −0.144931 + 0.0931415i
\(701\) −3.88234 27.0023i −0.146634 1.01986i −0.921678 0.387955i \(-0.873182\pi\)
0.775044 0.631907i \(-0.217727\pi\)
\(702\) −0.293604 2.04206i −0.0110814 0.0770725i
\(703\) −12.0668 + 7.75489i −0.455110 + 0.292481i
\(704\) 14.5285 16.7668i 0.547562 0.631921i
\(705\) 2.29212 5.01904i 0.0863261 0.189028i
\(706\) −4.84474 3.11353i −0.182334 0.117179i
\(707\) −29.6061 + 8.69314i −1.11345 + 0.326939i
\(708\) −6.36973 7.35107i −0.239389 0.276270i
\(709\) −19.2224 5.64420i −0.721912 0.211973i −0.0999194 0.994996i \(-0.531858\pi\)
−0.621993 + 0.783023i \(0.713677\pi\)
\(710\) −1.67378 3.66508i −0.0628160 0.137548i
\(711\) 0.861162 5.98951i 0.0322961 0.224624i
\(712\) −17.6283 −0.660649
\(713\) −1.21840 17.8530i −0.0456295 0.668599i
\(714\) −0.212713 −0.00796059
\(715\) −3.57770 + 24.8834i −0.133798 + 0.930588i
\(716\) −0.351912 0.770580i −0.0131516 0.0287979i
\(717\) −28.0952 8.24948i −1.04923 0.308083i
\(718\) −0.867800 1.00149i −0.0323860 0.0373754i
\(719\) 18.0595 5.30276i 0.673508 0.197760i 0.0729432 0.997336i \(-0.476761\pi\)
0.600564 + 0.799576i \(0.294943\pi\)
\(720\) −2.73026 1.75463i −0.101751 0.0653913i
\(721\) −15.5101 + 33.9623i −0.577625 + 1.26482i
\(722\) −2.23987 + 2.58494i −0.0833592 + 0.0962017i
\(723\) −23.9184 + 15.3714i −0.889535 + 0.571669i
\(724\) −1.80365 12.5447i −0.0670323 0.466220i
\(725\) −0.366289 2.54760i −0.0136036 0.0946153i
\(726\) −2.43719 + 1.56629i −0.0904525 + 0.0581303i
\(727\) −5.99590 + 6.91964i −0.222376 + 0.256635i −0.855964 0.517035i \(-0.827036\pi\)
0.633589 + 0.773670i \(0.281581\pi\)
\(728\) −8.08104 + 17.6950i −0.299503 + 0.655821i
\(729\) 0.841254 + 0.540641i 0.0311575 + 0.0200237i
\(730\) −2.40649 + 0.706608i −0.0890680 + 0.0261527i
\(731\) −1.56067 1.80111i −0.0577233 0.0666163i
\(732\) 16.8568 + 4.94959i 0.623044 + 0.182942i
\(733\) −18.5676 40.6573i −0.685809 1.50171i −0.856368 0.516366i \(-0.827285\pi\)
0.170559 0.985347i \(-0.445443\pi\)
\(734\) 1.39502 9.70258i 0.0514911 0.358129i
\(735\) 1.06814 0.0393991
\(736\) 4.07581 18.4465i 0.150236 0.679948i
\(737\) 7.31315 0.269383
\(738\) 0.245488 1.70741i 0.00903654 0.0628505i
\(739\) −0.584961 1.28089i −0.0215181 0.0471182i 0.898568 0.438835i \(-0.144609\pi\)
−0.920086 + 0.391717i \(0.871881\pi\)
\(740\) 8.37493 + 2.45910i 0.307869 + 0.0903984i
\(741\) 11.5907 + 13.3764i 0.425796 + 0.491395i
\(742\) 3.61398 1.06116i 0.132674 0.0389565i
\(743\) −33.7727 21.7044i −1.23900 0.796258i −0.253733 0.967274i \(-0.581659\pi\)
−0.985268 + 0.171016i \(0.945295\pi\)
\(744\) 2.15120 4.71048i 0.0788669 0.172694i
\(745\) −14.6391 + 16.8945i −0.536336 + 0.618965i
\(746\) 0.594859 0.382293i 0.0217793 0.0139967i
\(747\) −1.79735 12.5009i −0.0657617 0.457383i
\(748\) 0.283452 + 1.97145i 0.0103640 + 0.0720834i
\(749\) −0.319739 + 0.205483i −0.0116830 + 0.00750820i
\(750\) −0.234755 + 0.270921i −0.00857202 + 0.00989264i
\(751\) 14.4021 31.5361i 0.525539 1.15077i −0.441761 0.897133i \(-0.645646\pi\)
0.967300 0.253636i \(-0.0816266\pi\)
\(752\) −15.0646 9.68146i −0.549351 0.353046i
\(753\) −24.0402 + 7.05884i −0.876074 + 0.257239i
\(754\) −3.47723 4.01294i −0.126633 0.146143i
\(755\) −4.61188 1.35417i −0.167843 0.0492833i
\(756\) −1.89350 4.14619i −0.0688660 0.150795i
\(757\) 2.68026 18.6416i 0.0974157 0.677541i −0.881336 0.472491i \(-0.843355\pi\)
0.978751 0.205051i \(-0.0657359\pi\)
\(758\) −5.82366 −0.211525
\(759\) 10.0998 18.3540i 0.366601 0.666209i
\(760\) −4.26834 −0.154829
\(761\) 0.952259 6.62311i 0.0345194 0.240088i −0.965255 0.261308i \(-0.915846\pi\)
0.999775 + 0.0212206i \(0.00675523\pi\)
\(762\) −1.52009 3.32853i −0.0550671 0.120580i
\(763\) 34.3660 + 10.0908i 1.24413 + 0.365310i
\(764\) 13.4161 + 15.4830i 0.485377 + 0.560155i
\(765\) 0.233763 0.0686390i 0.00845172 0.00248165i
\(766\) −6.78354 4.35951i −0.245099 0.157516i
\(767\) 12.4255 27.2080i 0.448658 0.982423i
\(768\) −4.37498 + 5.04900i −0.157869 + 0.182190i
\(769\) −14.5000 + 9.31856i −0.522882 + 0.336036i −0.775311 0.631579i \(-0.782407\pi\)
0.252429 + 0.967615i \(0.418771\pi\)
\(770\) −0.542772 3.77507i −0.0195602 0.136044i
\(771\) 1.00677 + 7.00223i 0.0362579 + 0.252179i
\(772\) −1.76859 + 1.13660i −0.0636528 + 0.0409072i
\(773\) −25.4898 + 29.4168i −0.916803 + 1.05805i 0.0813126 + 0.996689i \(0.474089\pi\)
−0.998116 + 0.0613586i \(0.980457\pi\)
\(774\) −1.45671 + 3.18976i −0.0523605 + 0.114653i
\(775\) 3.13894 + 2.01727i 0.112754 + 0.0724626i
\(776\) −19.4287 + 5.70477i −0.697449 + 0.204789i
\(777\) 7.43868 + 8.58469i 0.266861 + 0.307974i
\(778\) −1.50407 0.441635i −0.0539236 0.0158334i
\(779\) 6.14770 + 13.4616i 0.220264 + 0.482311i
\(780\) 1.53280 10.6608i 0.0548829 0.381719i
\(781\) −49.0975 −1.75685
\(782\) 0.249916 + 0.336126i 0.00893698 + 0.0120199i
\(783\) 2.57379 0.0919799
\(784\) 0.493352 3.43134i 0.0176197 0.122548i
\(785\) 4.73360 + 10.3651i 0.168949 + 0.369948i
\(786\) −2.02061 0.593305i −0.0720729 0.0211625i
\(787\) −1.72503 1.99079i −0.0614905 0.0709638i 0.724171 0.689621i \(-0.242223\pi\)
−0.785661 + 0.618657i \(0.787677\pi\)
\(788\) −32.8919 + 9.65794i −1.17173 + 0.344050i
\(789\) −2.82175 1.81343i −0.100457 0.0645597i
\(790\) −0.901118 + 1.97317i −0.0320603 + 0.0702024i
\(791\) 3.06959 3.54250i 0.109142 0.125957i
\(792\) 5.10009 3.27763i 0.181224 0.116465i
\(793\) 7.68849 + 53.4746i 0.273026 + 1.89894i
\(794\) 0.905467 + 6.29766i 0.0321338 + 0.223496i
\(795\) −3.62920 + 2.33235i −0.128714 + 0.0827198i
\(796\) 20.7235 23.9162i 0.734526 0.847688i
\(797\) −0.631201 + 1.38214i −0.0223583 + 0.0489578i −0.920482 0.390786i \(-0.872203\pi\)
0.898123 + 0.439743i \(0.144931\pi\)
\(798\) −2.25893 1.45173i −0.0799652 0.0513905i
\(799\) 1.28982 0.378727i 0.0456307 0.0133984i
\(800\) 2.57959 + 2.97700i 0.0912022 + 0.105253i
\(801\) 12.1874 + 3.57853i 0.430619 + 0.126441i
\(802\) −5.68382 12.4458i −0.200703 0.439478i
\(803\) −4.34945 + 30.2511i −0.153489 + 1.06754i
\(804\) −3.13318 −0.110499
\(805\) 6.96932 + 9.37344i 0.245636 + 0.330370i
\(806\) 7.69781 0.271144
\(807\) 0.616401 4.28716i 0.0216983 0.150915i
\(808\) 7.30415 + 15.9939i 0.256959 + 0.562662i
\(809\) −42.1876 12.3874i −1.48324 0.435518i −0.562861 0.826551i \(-0.690299\pi\)
−0.920376 + 0.391034i \(0.872118\pi\)
\(810\) −0.234755 0.270921i −0.00824843 0.00951920i
\(811\) 32.3994 9.51333i 1.13770 0.334058i 0.341969 0.939711i \(-0.388906\pi\)
0.795729 + 0.605653i \(0.207088\pi\)
\(812\) −9.86924 6.34258i −0.346343 0.222581i
\(813\) 7.96503 17.4410i 0.279346 0.611682i
\(814\) −4.78270 + 5.51953i −0.167633 + 0.193459i
\(815\) −16.9387 + 10.8859i −0.593337 + 0.381315i
\(816\) −0.112528 0.782651i −0.00393928 0.0273983i
\(817\) −4.28147 29.7783i −0.149790 1.04181i
\(818\) 11.5002 7.39073i 0.402095 0.258411i
\(819\) 9.17890 10.5930i 0.320737 0.370150i
\(820\) 3.74098 8.19160i 0.130641 0.286063i
\(821\) 8.71375 + 5.59999i 0.304112 + 0.195441i 0.683792 0.729677i \(-0.260330\pi\)
−0.379680 + 0.925118i \(0.623966\pi\)
\(822\) 3.53507 1.03799i 0.123300 0.0362041i
\(823\) 0.290126 + 0.334824i 0.0101132 + 0.0116712i 0.760784 0.649006i \(-0.224815\pi\)
−0.750670 + 0.660677i \(0.770269\pi\)
\(824\) 20.4137 + 5.99399i 0.711144 + 0.208811i
\(825\) 1.81464 + 3.97350i 0.0631775 + 0.138339i
\(826\) −0.645795 + 4.49161i −0.0224701 + 0.156283i
\(827\) −2.81514 −0.0978922 −0.0489461 0.998801i \(-0.515586\pi\)
−0.0489461 + 0.998801i \(0.515586\pi\)
\(828\) −4.32708 + 7.86343i −0.150377 + 0.273273i
\(829\) −31.9240 −1.10877 −0.554384 0.832261i \(-0.687046\pi\)
−0.554384 + 0.832261i \(0.687046\pi\)
\(830\) −0.644315 + 4.48131i −0.0223645 + 0.155549i
\(831\) −10.3350 22.6306i −0.358519 0.785047i
\(832\) −28.0448 8.23469i −0.972277 0.285486i
\(833\) 0.170417 + 0.196672i 0.00590460 + 0.00681427i
\(834\) 6.81422 2.00084i 0.235957 0.0692833i
\(835\) −0.843752 0.542247i −0.0291992 0.0187652i
\(836\) −10.4446 + 22.8705i −0.361235 + 0.790994i
\(837\) −2.44346 + 2.81990i −0.0844582 + 0.0974700i
\(838\) 9.97404 6.40993i 0.344548 0.221427i
\(839\) −6.01324 41.8230i −0.207600 1.44389i −0.780957 0.624585i \(-0.785268\pi\)
0.573357 0.819306i \(-0.305641\pi\)
\(840\) 0.481048 + 3.34577i 0.0165977 + 0.115440i
\(841\) −18.8235 + 12.0972i −0.649088 + 0.417143i
\(842\) 0.359729 0.415149i 0.0123971 0.0143070i
\(843\) −4.24400 + 9.29305i −0.146171 + 0.320070i
\(844\) 27.1404 + 17.4421i 0.934212 + 0.600382i
\(845\) 19.3052 5.66851i 0.664118 0.195003i
\(846\) −1.29529 1.49485i −0.0445331 0.0513940i
\(847\) −18.8857 5.54536i −0.648922 0.190541i
\(848\) 5.81625 + 12.7358i 0.199731 + 0.437350i
\(849\) 1.31626 9.15479i 0.0451739 0.314191i
\(850\) −0.0873372 −0.00299564
\(851\) 4.82574 21.8406i 0.165424 0.748687i
\(852\) 21.0349 0.720644
\(853\) 6.23528 43.3673i 0.213492 1.48487i −0.547882 0.836556i \(-0.684566\pi\)
0.761374 0.648313i \(-0.224525\pi\)
\(854\) −3.40476 7.45539i −0.116509 0.255118i
\(855\) 2.95092 + 0.866468i 0.100919 + 0.0296326i
\(856\) 0.141829 + 0.163679i 0.00484762 + 0.00559445i
\(857\) −5.90551 + 1.73401i −0.201728 + 0.0592328i −0.381036 0.924560i \(-0.624433\pi\)
0.179307 + 0.983793i \(0.442614\pi\)
\(858\) 7.58133 + 4.87223i 0.258822 + 0.166335i
\(859\) −14.3113 + 31.3374i −0.488295 + 1.06922i 0.491804 + 0.870706i \(0.336338\pi\)
−0.980099 + 0.198511i \(0.936390\pi\)
\(860\) −11.9885 + 13.8354i −0.408804 + 0.471785i
\(861\) 9.85910 6.33606i 0.335997 0.215932i
\(862\) 0.417054 + 2.90068i 0.0142049 + 0.0987974i
\(863\) 6.33651 + 44.0714i 0.215697 + 1.50021i 0.753674 + 0.657248i \(0.228280\pi\)
−0.537977 + 0.842960i \(0.680811\pi\)
\(864\) −3.31382 + 2.12966i −0.112738 + 0.0724525i
\(865\) 12.7510 14.7154i 0.433547 0.500340i
\(866\) −3.79445 + 8.30868i −0.128940 + 0.282340i
\(867\) −14.2514 9.15880i −0.484002 0.311049i
\(868\) 16.3185 4.79155i 0.553887 0.162636i
\(869\) 17.3098 + 19.9765i 0.587193 + 0.677657i
\(870\) −0.885279 0.259942i −0.0300138 0.00881284i
\(871\) −4.00245 8.76413i −0.135618 0.296961i
\(872\) 2.90459 20.2019i 0.0983618 0.684121i
\(873\) 14.5901 0.493800
\(874\) 0.360011 + 5.27515i 0.0121775 + 0.178435i
\(875\) −2.43554 −0.0823363
\(876\) 1.86344 12.9605i 0.0629597 0.437894i
\(877\) 3.62717 + 7.94239i 0.122481 + 0.268195i 0.960934 0.276779i \(-0.0892668\pi\)
−0.838453 + 0.544974i \(0.816540\pi\)
\(878\) 10.4437 + 3.06653i 0.352456 + 0.103490i
\(879\) −4.26239 4.91906i −0.143767 0.165916i
\(880\) 13.6027 3.99412i 0.458548 0.134642i
\(881\) 30.1512 + 19.3770i 1.01582 + 0.652827i 0.938893 0.344210i \(-0.111853\pi\)
0.0769255 + 0.997037i \(0.475490\pi\)
\(882\) 0.159066 0.348305i 0.00535602 0.0117281i
\(883\) 26.8948 31.0382i 0.905082 1.04452i −0.0937209 0.995599i \(-0.529876\pi\)
0.998803 0.0489215i \(-0.0155784\pi\)
\(884\) 2.20747 1.41866i 0.0742453 0.0477146i
\(885\) −0.739664 5.14448i −0.0248635 0.172930i
\(886\) 1.91364 + 13.3096i 0.0642898 + 0.447146i
\(887\) −26.0276 + 16.7269i −0.873920 + 0.561634i −0.898949 0.438052i \(-0.855668\pi\)
0.0250295 + 0.999687i \(0.492032\pi\)
\(888\) 4.23881 4.89185i 0.142245 0.164160i
\(889\) 10.3276 22.6143i 0.346377 0.758460i
\(890\) −3.83054 2.46174i −0.128400 0.0825176i
\(891\) −4.19130 + 1.23068i −0.140414 + 0.0412293i
\(892\) −6.47110 7.46805i −0.216669 0.250049i
\(893\) 16.2822 + 4.78087i 0.544861 + 0.159986i
\(894\) 3.32900 + 7.28949i 0.111338 + 0.243797i
\(895\) 0.0644190 0.448044i 0.00215329 0.0149765i
\(896\) 23.6222 0.789161
\(897\) −27.5232 2.05868i −0.918972 0.0687372i
\(898\) −13.7705 −0.459529
\(899\) −1.36672 + 9.50575i −0.0455827 + 0.317034i
\(900\) −0.777446 1.70237i −0.0259149 0.0567456i
\(901\) −1.00846 0.296112i −0.0335968 0.00986490i
\(902\) 4.93442 + 5.69463i 0.164298 + 0.189610i
\(903\) −22.8594 + 6.71211i −0.760712 + 0.223365i
\(904\) −2.24702 1.44407i −0.0747347 0.0480291i
\(905\) 2.81318 6.16000i 0.0935132 0.204765i
\(906\) −1.12837 + 1.30220i −0.0374874 + 0.0432628i
\(907\) 14.5563 9.35476i 0.483334 0.310620i −0.276186 0.961104i \(-0.589070\pi\)
0.759520 + 0.650485i \(0.225434\pi\)
\(908\) 6.12648 + 42.6106i 0.203314 + 1.41408i
\(909\) −1.80300 12.5401i −0.0598016 0.415929i
\(910\) −4.22701 + 2.71654i −0.140124 + 0.0900523i
\(911\) 18.4501 21.2925i 0.611279 0.705454i −0.362748 0.931887i \(-0.618161\pi\)
0.974027 + 0.226434i \(0.0727067\pi\)
\(912\) 4.14643 9.07942i 0.137302 0.300650i
\(913\) 46.4106 + 29.8263i 1.53597 + 0.987107i
\(914\) −3.38025 + 0.992531i −0.111809 + 0.0328300i
\(915\) 6.14743 + 7.09451i 0.203228 + 0.234537i
\(916\) −6.95532 2.04227i −0.229810 0.0674784i
\(917\) −5.94366 13.0148i −0.196277 0.429786i
\(918\) 0.0124294 0.0864482i 0.000410231 0.00285322i
\(919\) −31.0178 −1.02318 −0.511591 0.859229i \(-0.670944\pi\)
−0.511591 + 0.859229i \(0.670944\pi\)
\(920\) 4.72175 4.69107i 0.155672 0.154660i
\(921\) 22.5740 0.743838
\(922\) 1.34632 9.36386i 0.0443387 0.308382i
\(923\) 26.8708 + 58.8389i 0.884464 + 1.93671i
\(924\) 19.1044 + 5.60955i 0.628487 + 0.184540i
\(925\) 3.05422 + 3.52476i 0.100422 + 0.115893i
\(926\) 11.9642 3.51302i 0.393169 0.115445i
\(927\) −12.8962 8.28790i −0.423568 0.272210i
\(928\) −4.21170 + 9.22233i −0.138256 + 0.302738i
\(929\) 8.63450 9.96474i 0.283289 0.326933i −0.596215 0.802825i \(-0.703329\pi\)
0.879504 + 0.475892i \(0.157875\pi\)
\(930\) 1.12525 0.723152i 0.0368983 0.0237131i
\(931\) 0.467514 + 3.25163i 0.0153222 + 0.106568i
\(932\) 4.56404 + 31.7436i 0.149500 + 1.03980i
\(933\) −6.35144 + 4.08182i −0.207937 + 0.133633i
\(934\) 7.29339 8.41702i 0.238647 0.275413i
\(935\) −0.442103 + 0.968071i −0.0144583 + 0.0316593i
\(936\) −6.71918 4.31816i −0.219623 0.141143i
\(937\) 40.4994 11.8917i 1.32306 0.388485i 0.457463 0.889229i \(-0.348758\pi\)
0.865596 + 0.500744i \(0.166940\pi\)
\(938\) 0.957208 + 1.10468i 0.0312539 + 0.0360690i
\(939\) 13.3719 + 3.92636i 0.436377 + 0.128132i
\(940\) −4.28968 9.39309i −0.139914 0.306369i
\(941\) 6.49429 45.1688i 0.211708 1.47246i −0.555745 0.831353i \(-0.687567\pi\)
0.767452 0.641106i \(-0.221524\pi\)
\(942\) 4.08483 0.133091
\(943\) −21.5956 8.13500i −0.703249 0.264912i
\(944\) −16.8679 −0.549004
\(945\) 0.346614 2.41075i 0.0112753 0.0784217i
\(946\) −6.36329 13.9337i −0.206888 0.453022i
\(947\) 17.1279 + 5.02920i 0.556582 + 0.163427i 0.547913 0.836535i \(-0.315422\pi\)
0.00866877 + 0.999962i \(0.497241\pi\)
\(948\) −7.41603 8.55856i −0.240861 0.277969i
\(949\) 38.6335 11.3438i 1.25410 0.368236i
\(950\) −0.927486 0.596059i −0.0300916 0.0193387i
\(951\) 9.57963 20.9765i 0.310641 0.680209i
\(952\) −0.539289 + 0.622373i −0.0174785 + 0.0201712i
\(953\) −4.51747 + 2.90320i −0.146335 + 0.0940440i −0.611760 0.791044i \(-0.709538\pi\)
0.465424 + 0.885088i \(0.345902\pi\)
\(954\) 0.220089 + 1.53076i 0.00712566 + 0.0495600i
\(955\) 1.55790 + 10.8354i 0.0504124 + 0.350626i
\(956\) −46.1004 + 29.6269i −1.49099 + 0.958203i
\(957\) −7.36258 + 8.49687i −0.237998 + 0.274665i
\(958\) 2.68475 5.87878i 0.0867403 0.189935i
\(959\) 21.0578 + 13.5331i 0.679993 + 0.437005i
\(960\) −4.87310 + 1.43087i −0.157279 + 0.0461812i
\(961\) 11.1835 + 12.9064i 0.360758 + 0.416337i
\(962\) 9.23219 + 2.71081i 0.297658 + 0.0874002i
\(963\) −0.0648269 0.141951i −0.00208902 0.00457431i
\(964\) −7.57257 + 52.6684i −0.243896 + 1.69633i
\(965\) −1.12334 −0.0361616
\(966\) 4.09439 0.876715i 0.131735 0.0282079i
\(967\) −7.96373 −0.256096 −0.128048 0.991768i \(-0.540871\pi\)
−0.128048 + 0.991768i \(0.540871\pi\)
\(968\) −1.59621 + 11.1019i −0.0513042 + 0.356829i
\(969\) 0.311266 + 0.681577i 0.00999930 + 0.0218954i
\(970\) −5.01840 1.47353i −0.161131 0.0473123i
\(971\) −1.97887 2.28373i −0.0635048 0.0732885i 0.723108 0.690735i \(-0.242713\pi\)
−0.786613 + 0.617446i \(0.788167\pi\)
\(972\) 1.79568 0.527260i 0.0575966 0.0169119i
\(973\) 40.5912 + 26.0864i 1.30129 + 0.836291i
\(974\) −1.75810 + 3.84971i −0.0563332 + 0.123353i
\(975\) 3.76873 4.34935i 0.120696 0.139291i
\(976\) 25.6300 16.4714i 0.820396 0.527237i
\(977\) 4.23260 + 29.4384i 0.135413 + 0.941817i 0.938333 + 0.345731i \(0.112369\pi\)
−0.802921 + 0.596086i \(0.796722\pi\)
\(978\) 1.02723 + 7.14456i 0.0328473 + 0.228458i
\(979\) −46.6769 + 29.9974i −1.49180 + 0.958721i
\(980\) 1.30908 1.51076i 0.0418171 0.0482595i
\(981\) −6.10905 + 13.3769i −0.195047 + 0.427093i
\(982\) −8.43509 5.42090i −0.269174 0.172988i
\(983\) −16.0460 + 4.71152i −0.511787 + 0.150274i −0.527422 0.849604i \(-0.676841\pi\)
0.0156349 + 0.999878i \(0.495023\pi\)
\(984\) −4.37328 5.04703i −0.139415 0.160894i
\(985\) −17.5752 5.16056i −0.559994 0.164429i
\(986\) −0.0933802 0.204474i −0.00297383 0.00651178i
\(987\) 1.91249 13.3017i 0.0608754 0.423397i
\(988\) 33.1245 1.05383
\(989\) 37.4638 + 28.2360i 1.19128 + 0.897853i
\(990\) 1.56593 0.0497685
\(991\) 1.84073 12.8025i 0.0584727 0.406686i −0.939473 0.342623i \(-0.888685\pi\)
0.997946 0.0640638i \(-0.0204061\pi\)
\(992\) −6.10576 13.3697i −0.193858 0.424490i
\(993\) −20.9709 6.15761i −0.665491 0.195406i
\(994\) −6.42631 7.41636i −0.203830 0.235233i
\(995\) 16.2244 4.76391i 0.514348 0.151026i
\(996\) −19.8837 12.7785i −0.630041 0.404902i
\(997\) −3.67677 + 8.05100i −0.116444 + 0.254978i −0.958876 0.283826i \(-0.908396\pi\)
0.842431 + 0.538804i \(0.181124\pi\)
\(998\) 5.82170 6.71860i 0.184283 0.212673i
\(999\) −3.92354 + 2.52151i −0.124135 + 0.0797770i
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 345.2.m.c.31.4 50
23.3 even 11 inner 345.2.m.c.256.4 yes 50
23.7 odd 22 7935.2.a.bw.1.10 25
23.16 even 11 7935.2.a.bv.1.10 25
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
345.2.m.c.31.4 50 1.1 even 1 trivial
345.2.m.c.256.4 yes 50 23.3 even 11 inner
7935.2.a.bv.1.10 25 23.16 even 11
7935.2.a.bw.1.10 25 23.7 odd 22